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2 years ago

Hey! This is due at like 11 pm!

Mathematics

2 answers:

rewona [7]2 years ago

7 0

Answer:

$7$

Step-by-step explanation:

Use the Pythagorean Theorem

$a^2 + b^2 = c^2$

$a$ and $b$ are either opposite or adjacent

$c$ is the hypotenuse.

1. Look for the right angle. (the little box). The right angle "points" to the hypotenuse. In this case, the hypotenuse is 25.

2. Because we know the hypotenuse is 25. We know that 24 is our adjacent. Meaning our missing side is the opposite.

3. Plug in the numbers. $24^2 + b^2 = 25^2$

4. Solve:

$24^2 + b^2 = 25^2$

$576 +b^2=625$

$b^2 = 625-576$

$b^2 = 49$

$\sqrt{b^2} = \sqrt{49}$

$b = 7$

Hope this helps! Lmk if you have questions.

dmitriy555 [2]2 years ago

6 0

It’s seven you use square root plug in and you got your answer

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What is the square root

shusha [124]

Answer:

Step-by-step explanation:

Trying to factor as a Difference of Squares :

1.1 Factoring: r2-96

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 96 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step 1 :

r2 - 96 = 0

Step 2 :

Solving a Single Variable Equation :

2.1 Solve : r2-96 = 0

Add 96 to both sides of the equation :

r2 = 96

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

r = ± √ 96

Can √ 96 be simplified ?

Yes! The prime factorization of 96 is

2•2•2•2•2•3

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 96 = √ 2•2•2•2•2•3 =2•2•√ 6 =

± 4 • √ 6

The equation has two real solutions

These solutions are r = 4 • ± √6 = ± 9.7980

Two solutions were found :

r = 4 • ± √6 = ± 9.7980

Processing ends successfully

4 0

3 years ago

Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Which t

kap26 [50]

D) Train A by a factor of 1.1
Train A: 17/35 = 34.6

Train B: Rate is the slope of the equation, 31.35

Thus,34.6/31.35 = 1.1036

4 0

3 years ago

Read 2 more answers

The difference of two numbers is more than 12,and one of the numbers is 3

klio [65]

X+y = 12
x-y = 3
x = 3+y

Substitute it in 1st equation,
3+y+y=12
2y = 9
y = 4.5

Substitute it in 1st eq.,
x = 12-4.5 = 7.5

So, the two numbers are 7.5 & 4.5

Hope this helps!

6 0

3 years ago

Hi guys can you guys answer this pls and explain plss

mario62 [17]

Answer:

Symmetry is correspondence of the form and arrangement of elements or parts on opposite sides of a dividing line. imagine that this ractangle is a piece of paper, you need to fold it two times, different ways. in this case when you fold it over the horizontal colored line all colored parts will match, same case when you fold it vertically.

4 0

3 years ago

34,000 people attended a ballgame at a stadium that offers two kind of seats: general admission and reserved. The day's receipts

hoa [83]

Answer:

The number of people who paid $ 12 for reserved seat is 5,000

The number of people who paid $ 4 for general seat is 29,000

Step-by-step explanation:

Given as :

The total number of people attending a ballgame = 34,000

The total receipt of the ticket's seat = $ 176,000

The amount pad for reserved seat = $ 12

The amount paid for general admission = $ 4

Let The number of people for reserved seat = r

And The number of people for general admission = g

Now, According to question

The total number of people attending a ballgame = The number of people for reserved seat + The number of people for general admission

or, r + g = 34,000 ...........1

The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission

Or, $ 12 × r + $ ×4 g = $ 176,000 .........2

or, $ 12 × ( r + g ) = $ 12 × 34000

Or, $ 12 r + $ 12 g = $ 408,000

Solving equation

( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000

Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000

Or 0 + 8 g = 232,000

∴ g = $\frac{232000}{8}$

I.e g = 29,000

So , The number of people for general admission = g = 29,000

Put the value of g in Eq 1

I.e r + g = 34,000

or , r = 34,000 - g

∴ r = 34000 - 29000

I.e r = 5,000

So, The number of people for reserved seat = r = 5,000

Hence The number of people who paid $ 12 for reserved seat is 5,000

And The number of people who paid $ 4 for general seat is 29,000 Answer

6 0

3 years ago