A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Draw diagram that represents this situation. How far up from the ground is the bottom edge of the window?

Answer:

3.04 m²

Step-by-step explanation:

Surface Area =0.8x0.4 = 0.32 (two of these - one on each end)

1x0.4=0.4 (two of these - top and bottom) (Strange to cover bottom with screen, but have to follow the directions.)

1x0.8=0.8 (two of these - front and back)

TOTAL = 0.32+0.32+0.4+0.4+0.8+0.8=3.04

Total amount of screen that Alice will need for her habitat is 3.04 meter square

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Dimensions of the Caterpillar habitat is,

Width w=1 meter

Length l= 0.4 meter

Height h= 0.8 meter

Surface area = 2lw+2lh+2hw

=2×0.4×1+2×0.4×0.8+2×0.8×1

=0.8+0.64+1.6

=3.04 meter square

Hence, Total amount of screen that Alice will need for her habitat is 3.04 meter square

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Answer:

∠B = 63°, ∠F = 59°

Step-by-step explanation:

Given that  angle D measures 31° and angle A measures 27°.

From the diagram attached, ∠ E = 90°, ∠G = 90°.

Also ∠C + ∠G = 180° (sum of angles on a straight line)

∠C + 90 = 180

∠C = 180 - 90 = 90°

To find the measure of ∠B and ∠F, we use the triangles ABC and DEF, remember that the sum of all interior angles of a triangle is 180°. In triangle ABC:

∠A + ∠B + ∠C = 180° (angles in a triangle).

27 + ∠B + 90 = 180

∠B + 117 = 180

∠B = 180 - 117

∠B = 63°

Also in triangle DEF:

∠D + ∠E + ∠F = 180° (angles in a triangle).

31 + 90 + ∠F = 180

∠F + 121 = 180

∠F = 180 - 121

∠F = 59°

Answer:

(0, 1)

Step-by-step explanation:

The point lies on the line x = 0.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(0, 1)

Answer:

1560 = 30(52) + b

Step-by-step explanation:

First job has $1200 in labor expenses for 40 hours worked,

Point (x,y)

(40, 1200

Second job has $1560 in labor expenses for 52 hours worked.

Point (x,y)

(52,1560

Slope of the line, m

m=1560-1200/52-40

=360/12

=30

Slope intercept,y

y=mx+b

Where,

b= y intercept

y=30x+b

points: (40,1200) and

(52,1560)

Equation to find y-intercept

y=30x+b

For point (40,1200)

1200 = 30(40) + b

y=30x+b

For point (52,1560)

1560 = 30(52) + b

The correct equation is

1560 = 30(52) + b

Answer: It is C

Step-by-step explanation:

math

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

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Answer:

Hey there!

We have |3x + 9| + 6 = 6. Subtracting 6 from both sides gives us |3x + 9| = 0.

3x+9=0

3x=-9

x=-3

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Subtracting 6 from both sides yields |3x + 9| = 0.  For this to be true, 3x + 9 must be 0, and so x must be -3.

Answer: 130875 automobiles

Step-by-step explanation:

To estimate the total number of automobiles owned in 2005, let's first find the number of years

2005 - 1990 = 15 years

Given that the Commercially owned automobiles in the United States can be modeled by the function

A(x) = 1.4x – 130.6x² + 1831.3x + 128,141, where x is the number of years after 1990

and A(x) is the number of automobiles in thousands.

Substitute 15 for x in the function

A(x) = 1.4(15) – 130.6(15)² + 1831.3(15) + 128,141

A(x) = 21 - 29385 + 27469.5 + 128141

A(x) = 126246.5 automobiles

The number of privately-owned automobiles in the United States can be modeled by the function

P(x) = -x + 24.9x² – 177.9x + 1709.5, where x is the number of years after 1990 

Substitute 15 for x in the function

P(x) = -(15) + 24.9(15)² – 177.9(15) + 1709.5

P(x) = -15 + 5602.5 - 2668.5 + 1709.5

P(x) = 4628.5 automobiles

The total automobile = A(x) + P(x)

Substitutes for A(x) and P(x)

The total automobile = 126246.5 + 4628.5

= 130875

Therefore, the total number of automobiles owned in 2005 is 130875 automobiles

Answer:16 students liked ready salted

Step-by-step explanation:

35 students = boys

65 students = girls

Boys:

12/35 like cheese and onion

16/35 like salt and vinegar

7/35 like ready salted

Girls:                  

9/65 like ready salted

25/65 like salt and vinegar

31/65 like cheese and onion

Answer:

A. (-2,-4)

Step-by-step explanation:

If CR:RB is 2:3, and C is (-4,-7), then R is (-2,-7)

You can stop here because only A has the x value as -2.

If you want to look at the y value also, -4 is 2/5 of the way between -2 and -7, which has the same 2:3 proportion.

Answer:

[tex](x,y)\rightarrow(x-3,y+5)[/tex]

Step-by-step explanation:

"5 units up" would be "5 added to the current y-value".

"3 units to the left" would be "3 subtracted from the current x-value".

So, the translation rule is:

[tex](x,y)\rightarrow(x-3,y+5)[/tex]

Therefore, Option C should be the correct answer.

Brainilest Appreciated.

The Rule describes the translation is :  (x, y) - (x - 3, y + 5)

We have a rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

We have to determine which of the given rules describes the translation.

The new coordinates of this point P will be - P'( - 1, 13).

According to the question, we have -

Upward translation = 5 units

When the upward translation will take place then, each and every point that lies on that rectangle will have its y - coordinate shifted upwards by +5 units.

Leftward Translation = 3 units

When the leftward translation will take place then, each and every point that lies on that rectangle will have its x - coordinate shifted by  - 3  units

to the left.

Hence, rule describes the translation is : (x, y) - (x - 3, y + 5).

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Answer:

the most years of experience is 2, and the least years are 10 years

Step-by-step explanation:

Answer:

The nth term of the sequence is

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

Hope this helps you

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

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

Answer:

37

Step-by-step explanation:

Answer:

x = 29/20 or x = 1.45

Step-by-step explanation:

6/x + 5/(4x) = 5

Multiply all terms by x and cancel.

6 + 5/4 = 5x

Combine terms on the left side of the equation.

29/4 = 5x

Divide both sides by 5.

29/4/5 = (5x)/5

29/20 = x

Answer:

Step-by-step explanation:

[tex] \frac{6}{x} + \frac{5}{4x} = 5[/tex]

Multiply through by the LCM

The LCM of x and 4x is 4x

So we have

[tex] {4x} \times \frac{6}{x} + {4x} \times \frac{5}{4x} = 5 \times {4x} \\ \\ 24 + 5 = 20x \\ \\ 20x = 29 \\ \\ x = \frac{29}{20} \: \: \: or \: \: \: 1 \frac{9}{20} [/tex]

Hope this helps you

The leading 0 is important with true bearings. Any true bearing must be three digits.

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

Explanation:

It's not stated, but I'm assuming that Binji and Congo form a flat horizontal line.

B = Binji's location

M = Milton's location

C = Congo's location

The given angles are M = 76 and C = 38. The missing angle is

B = 180-M-C

B = 180-76-38

B = 66

Subtract this from 90 to get 90-66 = 24

The true bearing of Milton from Binji is 024 degrees

In other words, if you are at Binji's location, face directly north, and turn 24 degrees clockwise (turn to the right), then you'll be facing Milton's location.

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

Extra info:

In terms of compass notation, the true bearing of 024 degrees converts to N 24 E. This is the same as E 66 N, though convention usually has north used more often (since it's a common reference point with compasses).

N 24 E = start facing north, turn 24 degrees to the east

E 66 N = start facing east, turn 66 degrees to the north

Answer:

I ANSWERED FIRST QUESTION

4A= 31.25X

4B=16      

CUZ 500/31.25=16

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

           ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                          PEACE!

Answer:

4a : $31.25 [tex]*[/tex] x, 4b : 15 calculators

Question 5 ( 1 ) : [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ), Question 5 ( 2 ) : { Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

Step-by-step explanation:

4a. If a school paid $31.25 per calculator, n number of calculators would signify a total cost of $31.25 [tex]*[/tex] n. Similarly if the school bought x number of calculators they paid a total of $31.25 [tex]*[/tex] x.

4b. We know that the school paid $31.25 per calculator, and that they spent $500. To determine the count of calculators we can create an equation that represents the relationship between the total cost, and the number of calculators.

$500 =  $31.25 [tex]*[/tex] x, where x = number of calculators,

x = ( About ) 15 calculators

The exact value was 15.87...but as the number of calculators is a whole number ( you can't have part of a calculator ) our solution had to be rounded down to the nearest whole value. After all, we can't have 16 calculators if there are only " 15.87 " present.

Question 5.

1 ) Kiran won 2 / 3rds as many chips as Jada, so we can say K = [tex]\frac{2}{3}[/tex]J. Similarly Mai won 4 times as many chips as Kiran ( M = 4K ) and Tyler won half as many chips as Mai ( T = [tex]\frac{1}{2}[/tex]M ). Tyler won half as many chips as Mai, but Mai already won 4 times as many chips as Kiran, who in turn won 2 / 3rd as many chips as Jada. Therefore we can substitute each of the expression into one another,

K = [tex]\frac{2}{3}[/tex]J ⇒ M = 4K ⇒ T = [tex]\frac{1}{2}[/tex]M,

M = 4(  [tex]\frac{2}{3}[/tex]J ) ⇒ T = [tex]\frac{1}{2}[/tex]M,

T =  [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ) - this is our expression.

2 ) If Jada won 42 chips, we can calculate the number of chips everyone has, knowing that they each are related by a common expression,

Kiran = [tex]\frac{2}{3}[/tex]J = [tex]\frac{2}{3}[/tex]( 42 ) = 28 chips,

Mai = 4(  [tex]\frac{2}{3}[/tex]J ) = 4( 28 ) = 112 chips,

Tyler = [tex]\frac{1}{2}[/tex]M = [tex]\frac{1}{2}[/tex]( 112 ) = 56 chips

{ Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

Answer:

$5.70

Step-by-step explanation:

First we have to find out how much she spent. SO we do 25-2.20 which is 22.80. Then we have to divide by 4 since she buys four canvases that are the same price. SO 22.80/4=$5.70

Answer: 5.70

Step-by-step explanation:

Gift card = 25

Canvases = x

Since Andrea is buying four canvases, we can say that it is 4x.

Remaining balance = 2.20

Let's set up our equation. To set it up, we can write it like this

4x+2.20= 25

Now, subtract 2.20 on each side

4x = 22.8

Now divide, and you get around 5.70

So, each canvas was $5.70

Answer:

6 seconds

Step-by-step explanation:

Total distance between the 2 rear cars = [tex]\\\frac{1}{12} + \frac{1}{12} = \frac{1}{6}\\\\\\\\\\Relative speed of the trains = 50 + 50 = 100 mphT = \frac{Distance}{Speed} = \frac{1}{6} * \frac{1}{100} = \frac{1}{600} hours\\T = \frac{1}{600} hours or \frac{3600}{600} = 6 seconds[/tex]

Step-by-step explanation: aumentado pois ele define uma certa quantidade de aumentação

hope it helps u...

plz mark as brainliest...

Answer:

1st) Surface Area = 178.7 cm²

Volume = 105 cm³

2nd) Surface Area = 51 m²

Volume = 15 m³

Step-by-step explanation:

1st) 1/2x2.5x7=8.75 (2 of these - one on each end)

7x12=42

12x2.5=30

12x7.433=89.20

S.A=8.75+8.75+42+30+89.2=178.7

Volume=8.75x12=105

2nd) 1/2x3x2=3 (two of these - one on each end)

5x4=20

5x3=15

5x2=10

S.A.=3+3+20+15+10=51

Volume = 3x5=15

Answer:

I not understand

Step-by-step explanation:

what it this

Answer:

100

Step-by-step explanation:

340 - (4 * 60) = 100

The depth of the submarine after 4 stages of rising to the surface will be 100 meters.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that a submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. The submarine starts off at 340 meters below sea level.

The depth of the submarine after 4 stages will be calculated as below:-

depth = 4 x 60 = 240

depth from the surface = 340 - 240 100 meters

Therefore, the depth of the submarine after 4 stages of rising to the surface will be 100 meters.

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Answer:

Andy

Step-by-step explanation:

Ashely rode the caterpillar till the half of her journey. And Andy crawled all the way.

Crawling is twice as fast as riding the caterpillar, so by the time Ashley got to the half of her journey, Andy would have already reached their friends house.

Answer:

Andy

Step-by-step explanation:

Please see attached picture for full solution.

Answer

1)<2) please put 5 stars

Step-by-step explanation

First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.

6*x=42. x=7 5*7=35. -35/42 is the first fraction.

7*y=42 y=6 3*6=18. -18/42 is the second fraction.

-35/42 would be bigger but since it is negative, it is smaller.

Answer:

1)<2)

Step-by-step explanation:

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!

Answer:

-1 4 x y

Step-by-step explanation:

Answer:

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the inheritance = $ 6,000

Interest rate of the first part = 4% simple

Interest rate of the second part = 7% simple

Interest of the accounts after the first year = $ 360

2. How much did he invest in each account?

For answering the question, we will use the following equation:

x = Amount invested in the first account

6,000 - x = Amount invested in the second account

0.04x + 0.07 * (6,000 - x) = 360

0.04x + 420 - 0.07x = 360

-0.03x = 360 - 420 (Subtracting 420 at both sides)

-0.03x = -60

x = -60/-0.03

x = 2,000 ⇒ 6,000 - x = 4,000

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.