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4 years ago

What is the sum of the interior angles in this shape?

Mathematics

2 answers:

tino4ka555 [31]4 years ago

5 0

Answer:

270

Step-by-step explanation:

90+45+45+110

so that is wat i think ooo

Westkost [7]4 years ago

5 0

It’s 540 degrees- all pentagons, whether irregular or regular, have interior angles summing up to that amount. Hope this helps!

You might be interested in

Find the surface are of the pyramid

Greeley [361]

Answer:

Step-by-step explanation:

SA=1/2(Perimeter of Base)(slant height) + Area of Base

SA=1/2(14X4)(25) + (14X14)

SA=1/2(56)(25) + (196)

SA=1/2(1,400) + 196

SA=700+196

SA=896 square meters

6 0

3 years ago

Suppose that scores on a test are normally distributed with a mean of 80 and a standard deviation of 8. Which of the following q

Ilia_Sergeevich [38]

Answer:

a) 86.73

b) 90.24

c) 10.56% scoring more than 90

d) 75.8

e) 50% probability that a randomly selected student will score more than 80.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 80, \sigma = 8$

a. Find the 80th percentile.

This is the value of X when Z has a pvalue of 0.8. So X when Z = 0.841.

$Z = \frac{X - \mu}{\sigma}$

$0.841 = \frac{X - 80}{8}$

$X - 80 = 8*0.841$

$X = 86.73$

b. Find the cutoff for the A grade if the top 10% get an A.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 80}{8}$

$X - 80 = 8*1.28$

$X = 90.24$

c. Find the percentage scoring more than 90.

This is 1 subtracted by the pvalue of Z when X = 90. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{90 - 80}{8}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.8944.

1 - 0.8944 = 0.1056

10.56% scoring more than 90

d. Find the score that separates the bottom 30% from the top 70%.

This is the value of X when Z has a pvalue of 0.3. So X when Z = -0.525.

$Z = \frac{X - \mu}{\sigma}$

$-0.525 = \frac{X - 80}{8}$

$X - 80 = 8*(-0.525)$

$X = 75.8$

e. Find the probability that a randomly selected student will score more than 80.

This is 1 subtracted by the pvalue of Z when X = 80.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80 - 80}{8}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5.

1 - 0.5 = 0.5

50% probability that a randomly selected student will score more than 80.

8 0

3 years ago

Sean drive 258 miles in 8 hours. On average, how fast did he drive in miles per hour? Give your answers in simplest from.

abruzzese [7]

The answer closest to 258 is A 31 mph

4 0

3 years ago

Translate to a quadratic equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches l

balu736 [363]

Answer:

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle $=527\ inches^{2}$

Solution:

We know that the area of the rectangle.

$Area\ of\ rectangle = length\times width$

$w(2w-3)=527$

$2w^{2}-3w-527=0$

Now, we first find the root of the above equation.

Use quadratic formula with $a=2, b=-3, c=-527$ .

$t=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put a, b and c value in above equation.

$w=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(2)(-527)}}{2(2)}$

$w=\frac{3\pm \sqrt{9+8\times 527}}{4}$

$w=\frac{3\pm \sqrt{9+4216}}{4}$

$w=\frac{3\pm \sqrt{4225}}{4}$

$w=\frac{3\pm 65}{4}$

For positive sign

$w=\frac{68}{4}$

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

$Length = 2\times w-3$

$Length = 2\times 17-3$

$Length = 34-3$

Length = 31 inches

So, length of the rectangle is 31 inches.

Therefore, width and length of the rectangle is 17 inches and 31 inches.

5 0

4 years ago

• Check your work when you're done.

Triss [41]

If Glen get a yellow marble first then we have 2 yellow marbles...probability that Glen will get yellow marble is 2/5(we have just 2 yellow now and the total is 5)
2/5-answer☺️

3 0

3 years ago