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3 years ago

What is the measure of an exterior angle of a regular nonagon

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

A regular nonagon is 9-sided polygon with all congruent sides and congruent interior angles.

The sum of exterior angles of n-sided polygon is 360°. If all interior angles of regular nonagon are congruent, then all exterior angles are congruent too.

Then each exterior angle has the measure of

$\dfrac{360^{\circ}}{9}=40^{\circ}.$

Answer: $40^{\circ}$

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Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

kipiarov [429]

Answer: 37

Step-by-step explanation:

As per given description in the question, we have

Population standard deviation : $\sigma=2.6\text{ miles per gallon}$

Critical value for 98% confidence interval = $z_{\alpha/2}=2.33$

Margin of error : E= 1 mile per gallon

Formula we use to find the sample size :

$n=(\dfrac{z_{\alpha/2}\cdot \sigma}{E})^2$

i.e. $n=(\dfrac{(2.33)\cdot(2.6)}{1})^2$

$\Rightarrow\ n=36.699364\approx37$

Therefore , the number of automobiles should be used in the test =37

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3 years ago

In the diagram below, line segment bc is an altitude of triangle abd. To the nearest whole unit what is the length of cd.

Georgia [21]

Answer:

A. 23

Step-by-step explanation:

All of the right triangles are similar, so we can write the proportion ...

(short leg)/(long leg) = CD/CB = CB/CA

CD = CB²/CA = 32²/44 ≈ 23 3/11

The length of CD is about 23 units.

3 0

4 years ago

3.05 is greater than or less than 3.024

asambeis [7]

Answer:

3.024 is greater.

Step-by-step explanation:

3.05 is greater because it expanded is 3.050 vs. 3.024. 3.024 is closer to 1, so it's greater.

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3 years ago

Ava was making muffins. She used 1 1/3 tsp of cinnamon and 1/2 tsp of nutmeg. How many teaspoons of spice did Ava use?

Aleks04 [339]

Actually your answer is wrong. Ava has already use 1 teaspoon of spice plus 1/3 teaspoon plus another 1/2 teaspoon of spice. 1/3 + 1/2 = 5/6 so the answer is 1 5/6 teaspoons of spice.

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