Answer:
397.7 m²
Step-by-step Explanation:
Step 1: find m < W
W = 180 - (33+113) (sum of ∆)
W = 34°
Step 2: find side UV using the law of sines
[tex] \frac{UV}{sin(W)} = \frac{VW}{sin(U)} [/tex]
[tex] \frac{UV}{sin(34)} = \frac{29}{sin(33)} [/tex]
Multiply both sides by sin(34)
[tex] \frac{UV}{sin(34)}*sin(34) = \frac{29}{sin(33)}*sin(34) [/tex]
[tex] UV = \frac{29*sin(34)}{sin(33)} [/tex]
[tex] UV = 29.8 m [/tex] (approximated)
Step 3: find the area using the formula, ½*UV*VW*sin(V)
area = ½*29.8*29*sin(113)
Area = 397.7 m² (rounded 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
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.
Solve the inequality
-6w-16>44
[tex]-6w-16>44[/tex]
Add both sides by 16
[tex]-6w>60[/tex]
Divide both sides by -6 (Note: Since we're dividing by a negative number, the inequality symbol needs to be reversed)
[tex]w<-\dfrac{60}{6}[/tex]
[tex]w<10[/tex]
This is the solution to the inequality. Let me know if you need any clarifications, thanks!
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.
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
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 )
4) The diameter of a circle measures 16 mm. What is the
circumference of the circle? use 3.14 for ł, and do not
round your answer.(be sure to include the correct unit in
your answer)
16mm
Answer: 50.24 mm
Step-by-step explanation:
Circumference= 2πr
C = 2 x 3.14 x 8mm
C = 50.24 mm
Answer:
Step-by-step explanation:
d=16mm
therefore r=8mm
therefore circumference = 2pi r = 2* 3.14*8
=50.42cm
hope it helps
Can someone plz help me? If you answer you are a real life savor
Answer:
x = 2; y = 6.
Step-by-step explanation:
If the two triangles will be congruent by the HL Theorem, the hypotenuses and side lengths have to be equal. That means that...
x + 3 = y - 1
2x - 1 = y - 3
x + 3 = y - 1
y - 1 = x + 3
y = x + 4
2x - 1 = y - 3
y - 3 = 2x - 1
y = 2x + 2
2x + 2 = x + 4
x = 2
y = 2x + 2
y = 2 * 2 + 2
y = 4 + 2
y = 6
y = x + 4
y = 2 + 4
y = 6
Hope this helps!
PLEASEEEEE I don't understand this question.
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°.
PLEASE help me with this question ASAP!!!!
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
1.
How can you count following distance?
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!
------------------------------------
With all care,
Forbidden
how to do this question plz
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 :)
HELPPPP,Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)? AB = 2 AB = 68 AB = 4 None of these choices are correct
===============================================
Explanation:
Use the distance formula to get this answer. The idea is you subtract the x coordinates together, and do the same for the y coordinates as well. Square each result and add up those squares. The last step of the formula is to apply the square root to get the distance from A to B, which is also the length of segment AB.
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-3-5)^2+(-2-(-4))^2}\\\\d = \sqrt{(-3-5)^2+(-2+4)^2}\\\\d = \sqrt{(-8)^2+(2)^2}\\\\d = \sqrt{64+4}\\\\d = \sqrt{68}\\\\[/tex]
Therefore, [tex]AB = \sqrt{68}[/tex]
A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer.
What must be true about the point ( a, b)?
A) It is flipped across the
y- axis from the original point
B) it is flipped across the
x-axis from the original point
C) it is in the quadrant diagonal to the original point
D) it is in the same quadrant as the original point, but in a different location
Answer:
I think it's x-axis.
Step-by-step explanation:
but me could me wrong
Answer:
The correct answer to this question would be C.
Step-by-step explanation:
took the test. Hope this helps!
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 __.
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.
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
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 .
please help i really don't understand
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.
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
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:
which of the following product? assume y>0 3 square root(y^2 square root 4+ square root 8y)
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:
p=E/x+Y express x in terms of p,e and y
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
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
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
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
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
PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.
Answer:
1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x ← is in slope- intercept form
with slope m = 1
Answer:
1
Step-by-step explanation:
Find arc length. (NEED ASAP)
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 lengthFormula
arc length = 2π·r (x°/360°)
= 2π·5m(60°/360°)
= 2·3,14·5m·1/6
= 31,4m/6
= 5,2(3) meters
find the rules for these sequence
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
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
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
Please answer this in two minutes
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
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
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
Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).
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]
solve the equation INCLUDE THE FORMULA x - 5 = 3 - 5x + 3x + 4
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 = 4The polygon below is a regular pentagon.
Calculate the size of the angle
X
Y
Z
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