The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no

Answers

Answer 1

Answer:

no

Step-by-step explanation:

It is an equal lateral triangle, a right triangle has a side that is longer then the others


Related Questions

a supermarket sells 4 brands of detergents a,b,c and d on a particular day 15% of the total boxes sold was brand a and 45% was brand c.Find the ratio of number of boxes of brand a sold to the number of boxes sold. Give your answser in a fraction Search Results Web results

Answers

Answer:

The ratio of number of boxes of brand a sold to the number of boxes sold is 3/20

Step-by-step explanation:

A supermarket sells 4 brands of detergents a, b, c, d.

On this particular day, 15% of the total boxes sold was brand a and 45% was brand c.

ratio of number of boxes of brand a sold to the number of boxes sold = ?

15% of the boxes sold is box a

Total number of boxes sold is 100%,

therefore,

ratio of box a sold to the whole boxes sold will be

15/100 = 3/20   in fraction

PLEASEEEEE I don't understand this question.

Answers

Answer:

  262°

Step-by-step explanation:

The relationship between the angle at B (82°) and the arcs of the circle, CGF and CDF, is that the angle is half the difference of those arcs. Of course the sum of those arcs is 360°, since together they make a full circle. So. we have ...

  CGF +CDF = 360

  (CGF -CDF)/2 = 82

We need to solve this system of equations to find CGF.

__

Multiplying the second equation by 2 and adding the first, we get ...

  2((CGF -CDF)/2) +(CGF +CDF) = 2(82) +(360)

  2CGF = 524 . . . . . simplify

  CGF = 262 . . . . . . divide by 2

The measure of arc CGF is 262°.

_____

Alternate solution

Here's another way to get there. Arc CDF is the supplement to angle B, so is ...

  CDF = 180° -∠CBF

Of course, arc CGF is 360° minus arc CDF, so ...

  CGF = 360° -(180° -∠CBF)

  CGF = 180° +∠CBF . . . . . simplify . . . please note this is a general solution

Then ...

  arc CGF = 180° +82° = 262°.

What is the method of comparing Coefficient ​

Answers

Answer: In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.

.

1.
How can you count following distance?

Answers

At a MINIMUM, during dry weather conditions, you should have at least 2 seconds of space between you and the vehicle in front of you (3 seconds is better). Do this by using a fixed object such as a bridge, tree, or even a crack or shadow in the roadway.

Calculate the gap between you and the car in front of you by selecting an inanimate object along the lane. If the other car goes past the target, then "1000 one, 1000 two ..." count. You are three seconds behind this car when you get to "one thousand three" before you go through the piece.

------------------------------------

Hope this helps!

Brainliest would be great!

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With all care,

Forbidden

A soft drink machine can be regulated so that it discharges an average of Mu ounces per cup. If the ounces of fill are Normally distributed with a standard deviation of 0.4 ounces, what value should Mu be set at so that 6-ounce cups will overflow only 2% of the time

Answers

Answer: 5.0693 ounces

Step-by-step explanation:

For a 6 ounce cup to overflow, then the cup content is beyond 6 ounce, at 2%

P(x > 6) = 2% = 0.02; similarly

P(x<6) = 1 - P(x > 6)'.

P(x<6) = 1 - 0.02 = 0.98

The z-score for 0.98 = 2.326

The z - formular for a normally distributed goes thus :

Zscore =(observed score - mean) / standard deviation

Substituting the vamus :

2.326 = (6 - mean) / 0.4

2.326 × 0 4 = 6 - mean

0.9304 = 6 - mean

Mean = 6 - 0.9304

Mean = 5.0693

plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6. What is the probability of getting a number less than 3 and a tails? StartFraction 1 over 12 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-third

Answers

Answer:

P((1 or 2) and Tail) = 1/6 = StartFraction 1 over 6

Step-by-step explanation:

A six-sided die and a coin.

Probability of getting <3 and tail.

P((1 or 2) and Tail)

= 2/6 * 1/2

= 1/6

Answer:

1/6

Step-by-step explanation:

Given the geometric sequence where a1 = −1 and the common ratio is 7, what is the domain for n? A. All integers B. All integers where n ≥ −1 C. All integers where n ≥ 0 D. All integers where n ≥ 1

Answers

Answer:

D

Step-by-step explanation:

Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].

It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].

In other words, as the common ratio is 7 the sequence is defined by

[tex]a_1=-1[/tex]

[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]

For instance, we can estimate the first terms:

[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]

And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:

[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]

Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

D.) would be the correct answer

I need your help with this question please explain why and show work.

Answers

Answer:

1

Step-by-step explanation:

y=2x+3, 2x represents the slope of the line and 3 represents the y-intercept

3 ) is correct. 1/2 is the slope and 3 is the y intercept

how to do this question plz ​

Answers

Answer:

148 cm ^2

Step-by-step explanation:

Hey there!

Well is the area of the base is 30 then we can conclude that the side lengths are 5 and 6.

Then if the volume is 120 we can do,

120 ÷ 30 = 4

So the height is 4 cm.

Now we already have the area of the base we just need to find the area of the rest of the rectangles.

If the bottom base is 30 then the top base is also 30.

30 + 30 = 60cm^2

Now we can do the two rectangles on the side that have side lengths of 5 and 4.

5*4 = 20

20+20 = 40 cm^2

Now we can do the two final rectangles that have side lengths of 6 and 4.

6*4=24

24 + 24 = 48 cm^2

Now we can add all the areas up,

48 + 40 + 60

= 148 cm^2

Hope this helps :)

find the rules for these sequence ​

Answers

Answer:

start with -29, multiply each term by 4

start with 60, multiply each term by 0.1

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.

2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.

3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.

4. Multiply 97 by 0.5, 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. Describe what is meant by the statement that​ "the margin of error was given as percentage​ points.
Which one would be a true statement?
A. The statement indicates that the study is 100%−3​%=97​% confident that the true population percentage of people that prefer chocolate pie is 11​%
B. The statement indicates that the interval 11​%+3​% is likely to contain the true population percentage of people that prefer chocolate pie.
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%±3​%.
D. The statement indicates that the study is only 3​% confident that the true population percentage of people that prefer chocolate pie is exactly 11​%.

Answers

Answer:

C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%±3​%.

Step-by-step explanation:

Data provided in the questions

Number of respondents = 1,000

Choose chocolate pie = 11%

margin of error = ±3 percentage points

Based on the above information,

The lower limit is

= 0.11 - 0.03

= 0.08

And, the upper limit is

= 0.11 + 0.03

= 0.14

So based on the above computation, the option c is correct as it represents the true population percentage of people with respect to the chocolate pie preference

PLEASE help me with this question ASAP!!!!

Answers

Step-by-step explanation:

I believe the answer is

The fuction roughly matches the data

Answer:

The function fits very well

Step-by-step explanation:

The equation for the stats is

y=-0.039866x²+3.99375x-0.4785714

27. The area of a square plot is 0.0324 hectares. It was fenced using 3
strands of wire. What was the total length of wire used?
O A 72
O 8.144 m
O com
O 0.216​

Answers

Answer: 0.216 km .

Step-by-step explanation:

Given, The area of a square plot is 0.0324 hectares.

Since , 1 hectare =10,000 meters

Then, the area of a square plot = 10,000 x 0.0324

= 324 meters

Area of square = side²

[tex]\Rightarrow\ (\text{side})^2=324\\\\\Rightarrow\ \text{side}=\sqrt{324}=18\ m[/tex]

Perimeter = 4(side) = 4 x 18 = 72 m

Since it  was fenced using 3  strands of wire.

So, Total length of wire used =  3 (Perimeter) = 3 (72)m

= 216 m

Hence, the total length of wire used 216 m.

In km , 216 m = 0.216 km   [ 1 m = 0.001 km]

Hence, the correct option is 0.216 km .

En el mercado del satisfactor X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 – Px y 1,000 productores idénticos del satisfactor X, cada uno con una función de oferta dada por Qsx = 20 Px

Answers

Answer:

Px = $4

Step-by-step explanation:

Given that:

En el mercado de satisfacción X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 - Px y 1,000 productores idénticos de X satisfactorio, cada uno con una función de oferta dada por Qsx = 20 Px

El precio de equilibrio y la cantidad de equilibrio se pueden determinar de la siguiente manera;

Qdx = 10000(12-Px)

Qdx = 120000 - 10000Px

Qsx = 1000(20 Px)

Qsx = 20000 Px

El punto de equilibrio para completar el enunciado, cuando Qdx = Qsx es:

Qdx = Qsx

120000 - 10000 Px =   20000 Px

120000 =  20000 Px + 10000 Px

120000 =  30000 Px

Px = [tex]\mathbf{ \dfrac{120000}{30000}}[/tex]

Px = $4

Find arc length. (NEED ASAP)

Answers

5.23 m

in cm 523 cm

nearest tenth 520cm

Step-by-step explanation:

60 / 360 × 2 ×22/7 × 5

110/ 21

5.23m

Answer:

5,2(3) meters

Step-by-step explanation:

Find arc length

Formula

arc length = 2π·r (x°/360°)

= 2π·5m(60°/360°)

= 2·3,14·5m·1/6

= 31,4m/6

= 5,2(3) meters

Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 ​students, she finds 2 who eat cauliflower. Obtain and interpret a 95​% confidence interval for the proportion of students who eat cauliflower on​ Jane's campus using Agresti and​ Coull's method.
Construct and interpret the 95​% confidence interval. Select the correct choice below and fill in the answer boxes within your choice.
​(Round to three decimal places as​ needed.)
A. The proportion of students who eat cauliflower on​ Jane's campus is between___ and __ 95​% of the time.
B.There is a 95​% chance that the proportion of students who eat cauliflower in​ Jane's sample is between __ and __.
C. There is a 95​% chance that the proportion of students who eat cauliflower on​ Jane's campus is between __ and__.
D. One is 95​% confident that the proportion of students who eat cauliflower on​ Jane's campus is between __ and __.

Answers

Answer:

A 95​% confidence interval for the proportion of students who eat cauliflower on​ Jane's campus is [0.012, 0.270].

Step-by-step explanation:

We are given that Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 ​students, she finds 2 who eat cauliflower.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

                              P.Q.  =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of students who eat cauliflower

           n = sample of students

           p = population proportion of students who eat cauliflower

Here for constructing a 95% confidence interval we have used a One-sample z-test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

P( [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

Now, in Agresti and​ Coull's method; the sample size and the sample proportion is calculated as;

[tex]n = n + Z^{2}__(\frac{_\alpha}{2})[/tex]

n = [tex]24 + 1.96^{2}[/tex] = 27.842

[tex]\hat p = \frac{x+\frac{Z^{2}__(\frac{\alpha}{2}_) }{2} }{n}[/tex] = [tex]\hat p = \frac{2+\frac{1.96^{2} }{2} }{27.842}[/tex] = 0.141

95% confidence interval for p = [ [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ]

 = [ [tex]0.141 -1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } }[/tex] , [tex]0.141 +1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } }[/tex] ]

 = [0.012, 0.270]

Therefore, a 95​% confidence interval for the proportion of students who eat cauliflower on​ Jane's campus [0.012, 0.270].

The interpretation of the above confidence interval is that we are 95​% confident that the proportion of students who eat cauliflower on​ Jane's campus is between 0.012 and 0.270.

which of the following product? assume y>0 3 square root(y^2 square root 4+ square root 8y)

Answers

Answer:

  [tex]6y^2\sqrt{10}+12\sqrt{5y}[/tex]

Step-by-step explanation:

Use the distributive property and the rules for forming and simplifying square roots.

  (√a)(√b) = √(ab)

  √(a²b) = a√b

__

  [tex]3\sqrt{10}\cdot(y^2\sqrt{4}+\sqrt{8y})=(3\sqrt{10})(2y^2) +(3\sqrt{10})(\sqrt{8y})\\\\=6y^2\sqrt{10}+3\sqrt{80y}\\\\=6y^2\sqrt{10}+3\sqrt{(4^2)(5y)}\\\\=\boxed{6y^2\sqrt{10}+12\sqrt{5y}}\qquad\text{matches the first choice}[/tex]

Answer:

   a

Step-by-step explanation:

A ladder placed against a vertical wall subtends an angle of 45 degree with the wall. The distance between the foot of the ladder and the wall is 15m, calculate the length of the ladder, correct to the nearest whole number.​

Answers

Answer:

we can calculate it by applying trigonometric ratios

Step-by-step explanation:

tan 45 = length of wall/distance between ladder and wall

1 = length of wall/15

length of wall = 15m

(length of wall[tex])^{2}[/tex] + (distance between ladder and wall[tex])^{2}[/tex] = (length of ladder[tex])^{2}[/tex]

length of ladder = [tex]\sqrt{15^{2} + 15^{2} }[/tex]

                           = [tex]\sqrt{450}[/tex]

                           = 21.21 m

Please answer this in two minutes

Answers

Answer:

Hey there!

S would be 2 times 7, or 14.

Hope this helps :)

Answer:

14

Step-by-step explanation:

This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.

Please answer this now two minutes

Answers

Answer:

s = 8 degrees

Step-by-step explanation:

12s + 42 + 42 = 180

12s + 84 = 180

12s = 96

s = 8 degrees

Pls solve this question. (If its right will give brainliest) X is 1 SOLVE FOR Y 210=60x+50y

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

3

Step-by-step explanation:

210=60(1)+50y

210=60+50y

-60  -60

150=50y

divide

y=3

please help i really don't understand

Answers

Answer:

  80 square units

Step-by-step explanation:

The area formula refers to a generic triangle ABC in which side lengths 'a' and 'b' are known and angle C is between those sides.

In the given figure, we have known side lengths of 12 and 14, and the angle between them is 72°.

Putting these numbers into the formula, we find the area to be ...

  A = (1/2)(12)(14)sin(72°) ≈ 79.9 ≈ 80 . . . . square units

The area of the triangle is about 80 square units.

Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).

Answers

Answer:

Step-by-step explanation:

You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation

[tex]y=a(x-h)^2+k[/tex] and solve for a. Filling in:

[tex]-11=a(4-2)^2-3[/tex] which simplifies a bit to

[tex]-11=a(2)^2-3[/tex] and a bit more to

[tex]-11=4a-3[/tex]. Add 3 to both sides to get

-8 = 4a so

a = -2

The equation, then, is

[tex]y=-2(x-2)^2-3[/tex]

Consider the two functions. Which statement is true?
A)Function 1 has a greater rate of change by 13/4
B)Function 2 has a greater rate of change by 13/4
C)Function 1 has a greater rate of change by 13/2
D)Function 2 has a greater rate of change by 13/2

Answers

Answer: Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

We must work with linear equations, remember that the general shape is:

y = a*x + b

where a is the slope and b is the y-intercept.

Ok, first we want to find the rate of change (or the slope) of the graphed line:

We know that for a line that passes through the points (x1, y1) and (x2, y2)

The slope is:

a = (y2 - y1)/(x2 - x1)

Then for the graphed function, we can see that it passes through the points:

(0, -2) and (4, 0)

Then the slope is:

a = (0 -(-2))/(4 - 0) = 2/4 = 1/2

Now, the slope of the second line is 15/4.

Let's calculate the difference between the slopes:

15/4 - 1/2 = 15/4 - 2/4 = 13/4

(notice that we are calculating slope2 - slope1)

Then the correct option is:

Function 2 has a greater rate of change by 13/4

Answer:

B) Function 2 has a greater rate of change by 13/4

Step-by-step explanation:

Please answer this in two minutes

Answers

Answer:

I answered it

Step-by-step explanation:

I answered it

Answer:

∠ V ≈ 33.6°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos V = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{TV}[/tex] = [tex]\frac{5}{6}[/tex] , thus

∠ V = [tex]cos^{-1}[/tex] ([tex]\frac{5}{6}[/tex] ) ≈ 33.6° ( to the nearest tenth )

Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25

Answers

Answer:

Option C: 38 is p more than 25

Step-by-step explanation:

the equation 25 + p = 38

can be read as 38 is 25 plus p units, or similarly ;

38 is p units more than 25.

Therefore from the three sentences you are showing, only the last one (option C) is the correct one.

You make a scale drawing of a garden plot using the scale 2 in. = 17
ft. If the length of a row of vegetables on the drawing is 3 in., how
long is the actual row?
42.5 ft
25.5 ft
17 ft
34 ft

Answers

Answer 158Step-by-step explanation: you have to multiply the fraction by the numerator and divided by itsself and the subtract everything thren get myy642565780

what does the variable k represent in the following equation : k/2 +1/2=3

Answers

the variable k equals 5

solve the equation INCLUDE THE FORMULA x - 5 = 3 - 5x + 3x + 4

Answers

Answer:

x = 4

Step-by-step explanation:

x-5 = 3-5x+3x+4 x = 3-5x+3x+4+5 x = 3-5x+3x+9x = -5x+3x+12x+5x =3x+12 6x =3x+126x-3x = 12 3x = 12x = 12/3x = 4

The polygon below is a regular pentagon.
Calculate the size of the angle

X

Y

Z

Answers

Answers:

x = 108

y = 36

z = 72

=============================================================

Explanation:

Check out the diagram below. I have added letters of x, y and z in places to help find the values of y and z. Note the triangle on top is isosceles (since a regular polygon has all sides equal; therefore the triangle on top has the top diagonal sides equal).

Before we find either y or z, let's find x.

For any regular polygon, the interior angles are all the same measure. They sum to 180(n-2). In this case, n = 5, so the angles sum to 180(5-2) = 540. Each individual interior angle is 540/n = 540/5 = 108 degrees

x = 108

Another way to find this interior angle is to first find the exterior angle. For any convex polygon (regular or not), the exterior angles always add to 360. When we talk about regular polygons, each individual exterior angle is 360/n. So in this case, we have 360/5 = 72 as one exterior angle. The adjacent interior angle is therefore x = 180-72 = 108. So there are two ways to find the measure of an interior angle.

--------

Referring to the diagram, specifically the isosceles triangle on top, we can see that it has angles of x, y and y. They add to x+y+y = x+2y. Set this equal to 180, plug in x = 108 and solve for y

x+2y = 180

108+2y = 180

2y = 180-108

2y = 72

y = 72/2

y = 36

--------

The bottom most triangle is a congruent copy of the triangle on top. We have another isosceles triangle with the same side lengths as before. This triangle also has x, y and y as mentioned above.

Notice the adjacent angles of y and z in the bottom left corner. They must add to 108 as this was the measure of the interior angle of a regular pentagon. So,

y+z = x

36+z = 108

z = 108-36

z = 72

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Find the x-coordinates of the two points on the curve y=x-1/x at which the tangent is parallel to the straight line 4y= x + 8. (4 marks) A driver decends 20 feet in the water from the boat at the surface of the lake. He then rose 12 feet and decends another 18 feet. At this point what is his depth in the water Let f(x) = 3x + 5 and g(x) = x2. Find g(x) f(x). YOU WILL GET 30 POINTS AND BRAINLIEST IF YOU GET THIS CORRECT AND ANSWER THIS IN 5 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 3 of the recall, the manufacturer fixed 391 cars. In week 13, the manufacturer fixed 361 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week by the mechanic. f(x) = 3x + 400 f(x) = 3x + 391 f(x) = 3x + 391 f(x) = 3x + 400 WILL GIVE BRAINLIEST IF CORRECT A 10 ft ladder is propped up against a building at an angle of 39. How far up the wall does the ladder go? The city of New Orleans has 200 advertising companies, 199 of which employ designers of normal ability at a salary of $100,000 a year. The firms that employ designers of normal ability each collect $400,000 in revenue a year, which is just enough to ensure that each earns exactly a normal profit. However, the 200th company employs Janus Jacobs, an unusually talented designer. Because of Jacobs's talent, this company collects $1,000,000 in revenue a year.Required:a. How much will Jacobs earn?b. What proportion of his annual salary will be economic rent?c. Will the advertising company for which Jacobs works be able to earn an economic profit? Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm. The electric potential of the inner conductor, with respect to the outer conductor, is +600 V. A) An electron is released from rest at the surface of the outer conductor. The speed of the electron as it reaches the inner conductor is closest to:__________.B) The maximum electric field magnitude between the cylinders is closest to:_______. Match each type of restriction with an example of its use.Trade restriction2Limiting the price of agallon of gas to $2Labor law2Charging a 50 percenttariff on imported cottonPrice ceilingRequiring that all workersbe paid at least $5.15 perhour The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number. An air-filled parallel-plate capacitor is connected to a battery and allowed to charge up. Now a slab of dielectric material is placed between the plates of the capacitor while the capacitor is still connected to the battery. After this is done, we find that Daniel had 80 more stickers than Elle. He gave 1/4 of his stickers to Elle. She then gave 3/5 of her stickers to Daniel. In the end, Daniel had 92 more stickers than Elle. How many stickers did Daniel have at first? (please refrain from using algebra to solve this question as this is a primary 6 question thanks.) Which of the following is considered a content theory?Group of answer choicesVroom: an expectancy theory of choicesLocke: goal-setting theory that conscious goals and intentions are the determinants of behaviorMaslow: five-level need hierarchyAll of the choices are based on content theory. Write each of the following expressions without using absolute value.|a7||a9|, if a An Ethiopian company decides to launch some of its fashion accessories into the European market. Its marketing director is about to begin the process of creating a marketing plan for this new initiative. Which of the following is the first step the director should take before beginning to plan the marketing mix details? A. First the director must define the company's target markets and understand which of its products fit with each market's businesses and consumers. B. First the director needs to research, develop, and create various products to launch into the international market. C. First the director must decide which promotional tactics to use in particular markets to launch products to consumers and businesses. Which of these workers is paid less than the minimum hourly wage? Bartender Electrician Hotel Manager Plumber Extracts from cost information of Hebar Corp.:Simple L3 Pack Complex L7 Pack TotalSetup cost allocated using direct labor-hour$19,250 $5,750 $25,000Setup cost allocated using setup-hours $13,400 $11,600 $25,000Assuming that setup-hours is considered a more effective cost drive for allocating setup costs than direct labor-hours. Which of the following statements is true of Hebar's setup costs under traditional costing?A. L7 pack is undercosted by $5,750B. L3 pack is overcosted by $5,850C. L3 pack is undercosted by $5,850D. L7 pack is overcosted by $5,850 Which graph shows the solution to the system of linear inequalities? 2x -3y 12 y < -3 If a transversal is perpendicular to one of two parallel lines, then it's ________ to the other line. Question 16 options: A) perpendicular B) congruent C) parallel D) supplementary Soutas grandfather passed away six months ago. Since then, Souta has struggled to feel happy and cannot eat.What step should Souta take first to improve his mental health?Go to the hospital.Talk to a doctor.Talk to a minister.Acknowledge the need for help. The graphed line shown below is y = negative 4 x minus 12. On a coordinate plane, a line goes through (negative 3, 0) and (negative 2, negative 4). Which equation, when graphed with the given equation, will form a system that has no solution? y = 4 x + 12 y = negative 4 x y = negative 12 y = negative 4 (x + 3)