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3 years ago

Which of the following triangles are impossible to draw? Choose all that apply.

2 answers:

8 0

These triangles are impossible:

a triangle with sides of 3 inches, 4 inches, and 8 inches
(the longest side is greater than the sum of the other 2 sides)

an obtuse equilateral triangle
(all angles in an equilateral triangle are acute)


a triangle with two right angles
The angles of ALL triangles must sum exactly to 180 degrees. Two right angles sum to 180 degrees so the third angle would have to be zero degrees.

IrinaVladis [17]3 years ago

3 0

A triangle with angles of 30, 45, and 115 cannot be drawn. The interior angles of a triangle have to add up to 180, and 30+45+115=190.
A triangle with two right angles cannot be drawn because the sum of the interior angle must be 180, and 90+90 is already 180, and we still need a third angle.
A triangle with sides of 3 in, 4 in, and 8 in cannot be drawn because the sum of two sides in a triangle must be greater than the third. 3+4=7 and 7<8

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a drawing of a surboard in a catalog shows it's length as 8 4/9 inches. find the actual length of surfboard if 1/2 inch length o

Delvig [45]

$\frac12 in -\frac38 ft \\
8\frac48 in - x\ ft\\
\\
\frac12x=\frac38 \cdot 8\frac49\\
\frac12x=\frac38 \cdot \frac{76}9\\
\frac12x=\frac{76}{24}\ /\cdot 2\\
x=\frac{76}{12}=6\frac13 ft\\\\
Answer:Actual\ lenght\ is\ 6\frac13ft.$

8 0

3 years ago

Add the following fractions. 3/8 + 5/12 = a 8/20 b 19/24 c 8/24 d 1/3

loris [4]

3/8 + 5/12 =

B. 19/24

8 0

3 years ago

Read 2 more answers

Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of

zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

$H_{0}: p = 0.29$

We want to test the hypothesis that this is true, so the alternate hypothesis is:

$H_{a}: p \neq 0.29$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that $\mu = 0.29, \sigma = \sqrt{0.29*0.71}$

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that $n = 100, X = 0.21$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}$

$z = -1.76$

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0

3 years ago

What is 5/8 divided by 32

Citrus2011 [14]

First you need to convert 32 into a fraction, so just add 1 as the denominator; 5/8 ÷ 32/1. But you can't divide fractions, so multiply by the reciprocal. 5/8 · 1/32. You should get 5/256 as your answer. I hope that helped!

7 0

3 years ago

Find the perimeter and area of the parallelogram shown below

Alona [7]

Answer:

The perimeter of the rhombus is 218. And I think the area is 4320. Wait for more responses to be sure also for the trapezoid I used 54 as my base added them two times then multiplied it by 55 I didn't know if I had to do multiply it by 50 so after I multiplied it by 55 then divided it by two and added it to the area of the triangle in the figure. I'm not sure if I make sense but I know for sure the perimeter is 218.

Step-by-step explanation:

6 0

3 years ago