All categories

2 years ago

I need help with 2 plz help

Mathematics

1 answer:

Tatiana [17]2 years ago

7 0

Answer:

a=31.61

Step-by-step explanation:

Pythagorean theorem states that square hypotenuse side is equal to square opposite side plus square adjacent side

Hyp²= Opp²+Adj²

the opposite is represented by a in the question, so

60²=a²+51²

3600=a²+2601

combine the like terms

3600-2601=a²

999=a²

a²=999

square root both sides to remove the square

√a²=√999 {square cancels the square root

a=√999

a=31.606

a=31.61 approximately

You might be interested in

Item 13<br> Factor out the coefficient of the variable.<br><br> The expression 14y+38 factored is

klemol [59]

Answer:

2(7y+19)

Step-by-step explanation:

14y+38=2(7y+19)

8 0

2 years ago

Brainliest if correct

Ira Lisetskai [31]

the answer does be A

7 0

2 years ago

Read 2 more answers

I’m Really lost if I could get a answer it would be greatly appreciated

Nataly [62]

<h3>Answers:</h3>

$f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}$

================================================

Work Shown:

Part 1

$f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\$

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

$g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\$

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out $\left(\sqrt{x-1}+5\right)^2$

6 0

2 years ago

What is 6/25-63/125<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B16%7D%7B25%7D%20%20-%20%5Cfrac%7B63%7D%7B125%7D%20" id="Te

juin [17]

6/25-63/125

Make the denominator the same:

= 30/125 - 63/125

Subtract:

= -33/125

Answer: -33/125

6 0

2 years ago

a store has apples on sale for $3.00 on two pounds . how many pounds of apples can you buy for $9 if an apple is approximately 5

stepan [7]

Answer: You can get 6 pounds of apples and approximately 19 apples.

Step-by-step explanation:

There are 16 ounces per pound so 6 pounds is 96 ounces

96/5 = 19.2

7 0

3 years ago