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3 years ago

A 30° and 60° and 90° triangle is shown below. Find length of the hypotenuse.

Mathematics

2 answers:

choli [55]3 years ago

7 0

Answer:

Step-by-step explanation:

The ratio of sides in 30° x 60° x 90° triangle is:

1 : √3 : 2 (from least to greatest0

Hypotenuse is twice the side opposite to 30° angle:

PQ = 2*RQ = 2*5 = 10

Marysya12 [62]3 years ago

4 0

Answer:

Step-by-step explanation:I think it's 30degrees? I'm kinda rusty today sorry

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Calculate 5/9 of 50 give your answer correct to the nearest whole number

gizmo_the_mogwai [7]

Answer:

27 $\frac{7}{9}$ (rounded: 28)

Step-by-step explanation:

5/9 of 50 (of means multiply) = 5/9 x 50

= 27 $\frac{7}{9}$

Rounded: 28

7 0

3 years ago

Please help me with this!!

lidiya [134]

Answer:

5 3

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1/6

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Step-by-step explanation:

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3 years ago

The United states currently has 50 states.What fraction of the states had become a part of the United States by 1795? (15) Write

Kryger [21]

Answer:

There are currently 50 states in the United States.

The number of states in 1795 in the United States = 15

Now, the fraction of the states that had become a part of the United States by 1795 is given below:

$\frac{15}{50}=\frac{3}{10}$

4 0

3 years ago

How do you solve this

beks73 [17]

Answer:

In all x keep the value of x 5 then the answer can get.

4 0

3 years ago

Consider the following hypothesis test:

KengaRu [80]

Answer:

(a) $t= -1.540$

(b) $0.10 < p < 0.20$

Step-by-step explanation:

Given

$H_o: =18$ $H_a: \ne 18$

$n = 48$

$\bar x = 17$

$\sigma = 4.5$

Solving (a): The test statistic

This is calculated as:

$t= \frac{\bar x - \mu_o}{\sigma/\sqrt n}$

So, we have:

$t= \frac{17 - 18}{4.5/\sqrt{48}}$

$t= \frac{- 1}{4.5/6.93}$

$t= \frac{- 1}{0.6493}$

$t= -1.540$ --- approximated

Solving (b): Range of p value

First, calculate the degree of freedom (df)

$df = n - 1$

$df = 48 - 1$

$df = 47$

Using:

$\alpha = 0.05$ --- significance level

The p value at: $df = 47$ is:

$p = 0.065133$

and the range is:

$0.05 * 2 < p < 2 * 0.10$

$0.10 < p < 0.20$

Solving (c): The conclusion

Compare the p value to the level of significance value

We have:

$p = 0.065133$

$\alpha = 0.05$

By comparison:

$p > \alpha$

because:

$0.065133 > 0.05$

Hence, the conclusion is: fail to reject $H_o$

8 0

3 years ago