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sashaice [31]
3 years ago
7

The diagram shows a right-angle triangle.

Mathematics
1 answer:
timurjin [86]3 years ago
8 0

Answer:

Step-by-step explanation

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Which value for x makes the following number sentence true? 12x = 6x + 24
denis23 [38]
To solve this, first subtract 6x from both sides.

That is because there cannot be the same variable on both sides of the equation. The new equation would be:

6x=24

Now divide by both sides of the equation by 6

x=4

Hope this helped! Tell me if you have any more questions!
5 0
3 years ago
selim is ordering concrete spheres to place as barriers in the city park. the spheres cost $2 per square foot, and selim can spe
hoa [83]

The maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

<h3>How to determine the diameter</h3>

The formula for area of a sphere is expressed as;

Area = 4 πr²

If Selim paid $2 per square foot and have a maximum of $20 per square

The area he can purchase is;

= $20/$2

= 10$

Substitute the value into the formula

10 = 4πr²

10 = 4 × 3. 142 ×  r²

10 = 12. 568r²

Make 'r²' the subject

r² = 10/ 12. 568

r² = 0. 79

Find the square root of both sides

r = √0. 79

r = 0. 89

But diameter = 2(radius)

Diameter = 2 × 0. 89 = 1. 78 ft

Thus, the maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

Learn more about spheres here:

brainly.com/question/10171109

#SPJ1

8 0
1 year ago
Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
White raven [17]
A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}&#10;a+b=26500\implies \boxed{b}=26500-a\\&#10;0.04a+0.09b=1510\\&#10;----------------\\&#10;0.04a+0.09\left( \boxed{26500-a} \right)=1510&#10;\end{cases}&#10;\\\\\\&#10;0.04-0.09a+2385=1510\implies -0.05a=-875&#10;\\\\\\&#10;a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
7 0
3 years ago
SEND HELP!!!!!!!!<br><br> (image is attached)
Mars2501 [29]

Answer:

y=x+20

Step-by-step explanation:

we have to find the slope

y2-y1/x2-x1

3-2/23-22

1/1

y=1x+b

y-22 = 1(x-2) + b

y=x+20

5 0
3 years ago
Please help asap! Due tonight!
Contact [7]

Answer:

A, \sqrt{17}

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = \sqrt{17}

4 0
3 years ago
Read 2 more answers
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