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Aliun [14]
3 years ago
13

What is the measure of AC?

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0

Answer:

5 blocks

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for AC

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AC² = AB² + BC² ← substitute values

AC² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

AC = \sqrt{25} = 5

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–2x – 4 + 5x = 8
andriy [413]

Answer:

4

Step-by-step explanation:

-2x- 4 + 5x = 8

Collect like terms

-2x + 5x = 8 +4( when a variable crosses over equality sign it becomes either negative or positive depending on the sign)

3x = 12

Divide via by coefficient of x

X = 12/3

= 4

5 0
4 years ago
Read 2 more answers
An above-ground swimming pool is leaking. The function h(d) = 48 - 1. 5d gives the height of the water in the pool in inches d d
MAXImum [283]

Answer:

A) 48 in : initial height of the water

B) 40.5 in : height of the water after 5 days

C) 32 days

D) Yes, should be restricted.

Domain: 0 ≤ d ≤ 32

Step-by-step explanation:

h(d) = 48 - 1. 5d

A)  

h(0) = 48 - 1. 5(0)=48

48 in is the initial height of the water

B)

h(5) = 48 - 1. 5(5)=48-7.5=40.5

40.5 in is the height of the water after 5 days

C) when the pool is empty, h = 0.

So set the equation to zero and solve for d.

\implies 48 - 1. 5d=0\\\\\implies 1.5d=48\\\\\implies d=\dfrac{48}{1.5}\\\\\implies d=32

D) Yes, the domain should be restricted because when d > 32, h < 0 and the height of the water in the pool cannot be negative

Domain: 0 ≤ d ≤ 32

5 0
2 years ago
(6 x 10^2) divide (3 x 10^-5)
Hunter-Best [27]

Answer:

=20000000 (let me know if it's incorrect)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A bandleader randomly select's two students out of 100 bandmembers if you and your brother are both bandmembers what is the prob
kherson [118]
<span>There are 100 * 99 = 9900 different ways to choose two students out of 100 bandmembers. You and our brother are 2 of that ways: you being selected first and you being selected second. Therefore the probability that you two are selected is 2 / 9900 = 0,000202. You can also think as the probability of you being selected among 100 bandmembers, which is 1/100, times the probability of your brother being selected among 99 members, which is 1/99 => (1/100) * (1/99) = 1/ (100*99) = 1 / 9900; plus the same for your brother being selected first and you second => [1/9900] * 2 = 2/9900, which is the same calculated above.</span>
6 0
3 years ago
Tell whether the given value is a solution of the inequality.<br><br> a/6 &gt; -4; a = -18
balandron [24]

First we simplify the inequality

1. <em>multiply 6 by the other side of the inequality (-4) </em>

Now we have ...

a > -24

Anything that can be a solution to the inequality <u>must be greater than -24</u>

-18 is greater than -24

This means that, YES! a = -18 IS a solution to the inequality

3 0
2 years ago
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