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3 years ago

Please help :) angles

Mathematics

1 answer:

Zolol [24]3 years ago

4 0

Answer:

y = 95

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

y+25 = 120

y = 120-25

y = 95

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The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 77 yd^2. Find the dimensions of th

Dafna1 [17]

A=77
A=l*w
l=2w+3
2w^2+3w=77
w=5.5
A=5.5l
/5.5
l=14
So 14*5.5

8 0

4 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mars2501 [29]

Answer

-1 x + 2y = 4

Explanation

The first step is to get the gradient of the line.

The two points in the line are; (4,0) and (0,2).

slope = (2 - 0)/(0 - 4)

= 2/-4

= -1/2

To get the function we use one of the point (0,2) and a general point (x,y).

1/2 = (y - 2)/(x - 0)

1/2 = (y - 2)/x

(1/2)x = y -2

x = 2y - 4

x - 2y = -4

-1 x + 2y = 4

3 0

3 years ago

The diagonals of a rhombus are 21 m and 32 m. What is the area of the rhombus? 30 POINTS

Wittaler [7]

I have included attachment below

so since a rhombus is 2 pairs of paralell sides, we can cut it into 4 triangles
we can see that we can take the bottom 2 triangles and put them on top to get a rectangle that is width 21 and height 32/2 (16=height
area of rectangle=legnth times width=16 times 21=336 m^2

answer is 336 m^2

5 0

3 years ago

Select the correct answer from the drop-down menu

oee [108]

Answer:

r = 55.2 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference × fraction of circle

= 2πr × $\frac{\frac{23}{20}\pi }{2\pi }$ ( r is the radius )

given arc = 63.48π , then

2πr × $\frac{\frac{23}{20}\pi }{2\pi }$ = 63.48π ( cancel 2π on numerator/ denominator )

r × $\frac{23}{20}$ π = 63.48π ( divide both sides by π )

$\frac{23r}{20}$ = 63.48 ( multiply both sides by 20 to clear the fraction )

23r = 1269.6 ( divide both sides by 23 )

r = 55.2 cm

7 0

3 years ago

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independe

enot [183]

Answer:

$n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$ , in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that $\pi = 0.16$

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which $M = 0.03$ . So