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2 years ago

7

What are the ratio of 1:6 and 3:8, 2:14and 3:42

1 answer:

GrogVix [38]2 years ago

3 0

The ratio of 1:6 is 1/6

The ratio of 3:8 is 3/8

The ratio of 2:14 is 1/7

The ratio of 3:42 is 1/14

<em>Please mark brainliest if that helped!</em>

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What is the measure of angle 1?<br> 36°<br> 86°<br> 89°<br> 94°

den301095 [7]

Answer:

94°

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle is 180°. To do it the easier (but longer) way, simply do the following. Add all the interior angles up, and subtract it from 180 to get the angle you do not know, and then solve for angle 1:

180 = (29 + 65 + m∠2)

= 180 - 94 = m∠2

= m∠2 = 86°

Next, note that ∠1 & ∠2 are directly next to each other. When this occurs, solve for their supplementary angle. We know that m∠2 = 86°. Supplementary Angle = 180°:

180 - 86 = 94°

m∠1 = 94°.

The simpler way to solve this, is to first note that it is a triangle. To solve for the outlier angle, simply add the two opposite angles together to get your answer:

m∠1 = 29 + 65

m∠1 = 94°.

~

3 0

2 years ago

Read 2 more answers

ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval

SIZIF [17.4K]

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is $0.748 < p < 0.842$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of people that watched the educational television is $k = 159$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{159}{200}$

=> $\^ p = 0.795$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.645 * \sqrt{\frac{0.795 (1- 0.795)}{200} }$

=> $E = 0.04696$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.795 -0.04696 < p < 0.795 + 0.04696$

=> $0.748 < p < 0.842$

3 0

2 years ago

Help please I need to find the area I don’t know how thanks

otez555 [7]

Answer:

49.62

Step-by-step explanation:

You can start by dividing the shape into 2 separate rectangles to make calculating the area easier.

9.3 x 2.4 = 22.32

10.5 x 2.6 = 27.3

Then, add the areas of the two separate rectangles to find the total area of the shape.

22.32 + 27.3 = 49.62. Hope that helped

4 0

2 years ago

Bert has already read 5 pages, and he knows he can read 11 more pages during every additional hour he spends reading. In all, ho

lukranit [14]

Answer:

4 hours

Step-by-step explanation:

11 x 4 equals 44 plus he read 5 pages so its 49

7 0

3 years ago

Read 2 more answers

When making a book cover, Anwar adds an additional 20 square inches to the surface area to allow for overlap. How many square in

e-lub [12.9K]

Answer:

234 square inches

Step-by-step explanation:

We are given that

Length of book, l=11 in

Width of book, w=8 in

Height of book, h=1in

Additional area required to overlap=20 square inches

We have to find how many square inches of paper to make cover of one book.

We know that surface area of cuboid

$S=2(lb+bh+hl)$

Using the formula

Surface area of book

$S=2(11\times 8+8\times 1+1\times 11)$

$S=214 in^2$

Total paper used to make cover of one book

=Surface area of book +additional surface area

= $214+20$

$=234in^2$

Hence, Anwar will use paper to make cover of one book=234 square inches

3 0

2 years ago