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pshichka [43]
4 years ago
8

20 POINTS! WILL MARK BRAINIEST FOR FIRST CORRECT ANSWER!

Mathematics
2 answers:
Neko [114]4 years ago
5 0

Answer:

brainly.com/question/8182874

Step-by-step explanation:

Harrizon [31]4 years ago
3 0

Answer:

Area: 5π/2 in²

Perimeter: (3π+2) in

step-by-step explanation:

Area =

larger semicircle + small semicircle

= ½(pi × r1²) + ½(pi × r2²)

r1 = 2 in

r2 = 2/2 = 1 in

Area:

½(pi × 2²) + ½(pi × 1²)

= 2pi + ½pi

= 5pi/2 in²

Perimeter:

½(2pi × r1) + ½(2pi × r2) + r1

½(2pi × 2) + ½(2pi × 1) + 2

2pi + pi + 2

3pi + 2

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Write a general formula to describe the variation: M varies jointly with the cube root of the difference B and b.
MAXImum [283]
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{M varies jointly with the cube root of the difference B and b}}{M=k\sqrt[3]{B-b}}
8 0
3 years ago
What is the value of the x variable in the solution to the following system of equations? (5 points) 2x − 3y = 3 5x − 4y = 4 Sel
Rama09 [41]

Answer:

D. There is no x value as there is no solution to this system

Step-by-step explanation:

2x − 3y = 3                                  5x − 4y = 4

5x - 4y = 4               -4y = -5x + 4                         y = 5/4x - 1

2x - 3(5/4x - 1) = 3

2x - 15/4x + 3 = 3

-7/4x = 0

x = 0

8 0
3 years ago
the sum of kate's age and her mother's age is 52. Kates mother is 20 years older than kate. how old is each
Anna35 [415]
<span>The sum of Kate age and her mother's age is 52, so 
K + M = 52 
Kate's mother is 20 years older then Kate, so 
M = 20 + K 
How old is each person? 
Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K 

So, K + (20 + K) = 52 
K + 20 + K = 52 
2K + 20 = 52 
Subtract 20 from both sides: 
2K = 52 - 20 
2K = 32 
divide both sides by 2 to get 
K = 16 
Now we can find M, since M = 20 + K = 20 + 16 = 36 
Kate is 16 years old and her mother is 36 years old.
Hope this helps!!1</span>
6 0
4 years ago
Given the system of equations presented here:
ziro4ka [17]
The third one correctly eliminates the y-value from the equation. 
5 0
3 years ago
Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,
Damm [24]

Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.

<u><em>Medicare tax = 1.45% of $70,000.</em></u>

=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

70,000-(12,000+4,000+4340+1015)

=70,000-(21,355)

=70,000-21,355

=\$48,645.

Therefore, Susan's take-home pay $48,645.

7 0
3 years ago
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