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Studentka2010 [4]

3 years ago

6

What is the measure of angle z in this figure?

2 answers:

denis23 [38]3 years ago

8 0

She is correct it is 56 sorry for answer late hope this helped have a great day :)

zzz [600]3 years ago

5 0

The line that is diagonal means that it will have a degree measure of 180( aka a straight diagonal line) therefore if you subtract 124 from 180, you will get angle z which is 56

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zheka24 [161]

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7 0

3 years ago

You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 week

bonufazy [111]

Given:
initial deposit = 45
total deposit = 105
w = weekly deposit
x = no. of weeks = 5 weeks
y = amount in dollars
45 + 5w = 105
45 + 5w = 105
5w = 105 - 45
5w = 60
w = 60/5
w = $12 weekly deposit.

y = $45 + $12x
<span>x = (y - 45)/12

</span>To check:
y = 45 + 12(5)
y = 45 + 60
y = 105 total deposit in 5 weeks

x = (105-45)/12
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8 0

3 years ago

Read 2 more answers

What’s the radius of a circle with the circumference of 37.68 feet

Lina20 [59]

Answer:

r≈6ft

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=37.68

2·π≈5.99696ft

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7 0

3 years ago

A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher

just olya [345]

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

= $\frac{4}{3} πr³$ - $\frac{4}{3} πR³$

= $\frac{4}{3} π$ (12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

3 0

3 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

4 years ago