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3 years ago

The hypotenuse of a 45°-45°-90° triangle measures 4 miles. What is the measure of the leg?

Mathematics

1 answer:

mina [271]3 years ago

5 0

Answer:

USE Pythagoras theorem

its 14 units

-Hops

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What is the inverse of the function g(x) = x^3/8 + 16 ?

lesya692 [45]

Answer:

$\hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\$

• let f(x) be m:

${ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\$

• make x the subject of the function:

${ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}$

• therefore:

${ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\$

6 0

3 years ago

Show what you know: work out the problems below and submit a photo of your work to receive full credit.

Alexxandr [17]

The model for representing the ratio of the number of orange and green rolls are $\dfrac{3}{2}$ .

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

<h3>What is ratio?</h3>

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

$\dfrac{O}{G}=\dfrac{3}{2}$

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O and D=2G

3O=2G

Hence the models are $\dfrac{O}{G}=\dfrac{3}{2}$ and 3O=2G.

To know more about Ratios follow

brainly.com/question/4931057

#SPJ1

6 0

2 years ago

A past study claims that adults in America spend an average of 17 hours a week on leisure activities. A researcher wanted to tes

8090 [49]

Answer:

The claim is false.

Step-by-step explanation:

Given the data :

13 24 21 37 15 25 18 22 40 32

The sample mean and standard deviation can ben calculated for the given sample.

Using calculator :

Sample mean, xbar = 24.7

Sample standard deviation, s = 9.04

Sample size, n = 10

The hypothesis :

H0 : μ = 17

H1 : μ ≠ 17

The test statistic :

(xbar - μ) ÷ (s/√(n))

(24.7 - 17) ÷ (9.04/√(10))

7.7 / 2.8586990

Test statistic = 2.694

We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9

Pvalue = 0.0246

Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure

5 0

3 years ago

Sally makes $9.15 per hour. If she works 3.5 hours, how much money will she make?

liraira [26]

Answer:

$12.65

Step-by-step explanation:

i caculated that

5 0

3 years ago

Find | P |<br><br> a. 15<br> b. 22<br> c. 24<br> d. 8

ankoles [38]

Answer:

c. 24

Step-by-step explanation:

15+9=24

5 0

3 years ago