All categories

3 years ago

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 5, 13

Mathematics

2 answers:

Lesechka [4]3 years ago

6 0

Answer:

Leg= Leg- hypotenuse

Step-by-step explanation:

5 suquared= 25

13 squared= 169

25+169 =194

194 square root is 13.9

How to determine each side of a right triangle

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

liq [111]3 years ago

5 0

Answer:

13.9 (rounded)

Step-by-step explanation:

The pathaegorean theorem is A²+B²= C²

5²=25

13²= 169

169+25=194

√194=13.9

You might be interested in

Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation ca

pentagon [3]

Division is the answer

4 0

3 years ago

Describe how to determine the solution of a system of two linear equations by graphing.

levacccp [35]

Using the graphing you graph the two equations and then find the point where the two lines of the equation meet.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Mary makes f dollars the first day of her new job. She makes $25 ¾ the second day of her job. In total, Mary made $60.00. Solve

Whitepunk [10]

All you have to do is: 60-25.75 = 34.25.

f = 34.25

7 0

3 years ago

Read 2 more answers

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean s

Tcecarenko [31]

Answer:

The most appropriate null hypothesis for this situation is

$H_0$ : The mean sales volume is equal to 24.

the most appropriate alternative hypothesis for this situation is

$H_a$ : The mean sales volume is greater than 24.

Step-by-step explanation:

The null hypothesis $H_0$ is the fact that is established and consider as true fact.

Since the established mean sales volume is 24 automobiles per month this should be considered as the null hypothesis.

So, the most appropriate null hypothesis for this situation is

$H_0$ : The mean sales volume is equal to 24

The alternative hypothesis is a fact that intends to reject or refute the null by collecting data that could contradict it.

In this case, since the manager wants to conduct a research study to see whether the new bonus plan increases sales volume, he wants to see if the data collected after the new bonus plan can show that the new average is greater than the established one.

So, the most appropriate alternative hypothesis for this situation is

$H_a$ : The mean sales volume is greater than 24.

To try and prove that $H_a$ shows enough evidence as to assure the new plan actually increases sales volume, he must fix a significance level $\alpha$ , for example 0.1 or 0.05, which gives the probability that $H_a$ is not wrong in case that it rejects $H_0$ .

This confidence level defines an $\alpha$ -score $z_\alpha$ which is a point such that the area under the normal curve N(0;1) to the right of $z_\alpha$ is less than $\alpha$ .

In this case we considered the right side because you want to see the new average is greater than the established one.

If the z-score obtained through the sample is greater than $z_\alpha$ then you can say the new bonus actually increases sales.

If the z-score obtained through the sample is less than or equals to $z_\alpha$ then you do not have enough evidence showing that the new bonus actually increases sales.

6 0

3 years ago

Fay has a lemonade stand. She spends £35 on ingredients. She sells each glass of lemonade for £2.10. If she sells 50 glasses of

Zarrin [17]

Answer:

£70.00

Step-by-step explanation:

You basically want to find what she spent in total, then subtract the amount she spent on ingredients.

50 glasses of lemonade at £2.10 each would be £105. (50*2.1)

Subtract the cost of ingredients, which is £35, with the total she made, £105, to get £70 (105-35)

6 0

3 years ago