All categories

3 years ago

Find the area of the right triangle.. height is 8cm and the hypotenuse is 10cm

2 answers:

8 0

Area of a triangle is one-half times base times height so the answer is 24 and I got the base by using the pythagroem therom

katrin [286]3 years ago

5 0

Alright!

The formula of area of a triangle is base x height /2

so you're given the height and hypotenuse.

Do the reverse of the pythagorean theorem to find the base

a^2= c^2 -b^2

c^2 is the hypotenuse and b^2 is the height

a^2= 10^2 - 8^2
a^2 = 100 - 84
a^2 = 16
a= (square root the 16)
a= 4 cm

now put these numbers into the formula for area of a triangle
bxh / 2
(4x8)/ 2
= 16 cm squared !!

hope that makes sense :)

You might be interested in

Tony buys a pair of running shoes f 80$ he pays 9%sales tax how much does the pair of shoes cost in total?

Sindrei [870]

Answer:

$87.20

Step-by-step explanation:

5 0

4 years ago

What is the value of a?<br> A. 12<br> B. 15<br> C. 17.25<br> D. 21.25

dimaraw [331]

Answer:

C 17.25

Step-by-step explanation:

i think aanswer its c

8 0

2 years ago

In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Com

OleMash [197]

Answer:

a) 272 used at least one prescription medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription medication.

Question b:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 3149, \pi = 0.866$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876$

For the percentage:

0.856*100% = 85.6%

0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

7 0

3 years ago

Three less than one-half a number is -71

morpeh [17]

3-1/2x=-71

when you solve it, the answer is 37

4 0

4 years ago

Read 2 more answers

A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates empl

denis-greek [22]

Answer:

A*B= $\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]$

Step-by-step explanation:

Given A= $\left[\begin{array}{cc}5&25\\1&4\end{array}\right] \left[\begin{array}{cc}41&6\\20&2\end{array}\right]$ = B

Finding A*B means multiplying the first row with the first column and first row with the second column would give the first row elements. The second ro0w elements are obtained by multiplying the second row with the 1st column and second row with the second column.

so A*B= $\left[\begin{array}{cc}5*41+ 25*20&5*6 + 25*2\\ 1*41+4*20 & 1*6+ 4*2\end{array}\right]$

Now multiply and add the separate elements of the matrix A*B=

$\left[\begin{array}{cc}205+500&30+50\\41+80&6+8\end{array}\right]$

A*B= $\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]$

b. The 1st element of the 1st row shows the salaries of the managers and 2nd element of the 1st row the salaries of associates at the restaurant . The second row 1 st element shows the benefits of the managers and 2nd element the benefits of the associates at the food truck.

c. The total cost of salaries for all employees (managers and associates) at the restaurant = 705 + 80 = 785

Total cost of benefits for all employees at the food truck= 121 + 14= 135

6 0

3 years ago