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kondor19780726 [428]
2 years ago
6

Please help me and thank you.

Mathematics
2 answers:
soldier1979 [14.2K]2 years ago
8 0

Answer:

482.5\:\mathrm{in^2}

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: 25\cdot 20=500\:\mathrm{in^2}

Area of the triangle: \frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}

Thus, the area of the figure is 500-17.5=\boxed{482.5\:\mathrm{in^2}}

elixir [45]2 years ago
7 0
It’s the last one 482.5
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Based on the work shown on the right, check all of the possible solutions of the equation.
Mazyrski [523]

Incomplete question. However, here is a similar question attached.

Solve 3x^2 + 17x - 6 = 0.

Based on the work shown to the left, which of these values are possible solutions of the equation? Check all of the boxes that apply

A X=-6

B X=6

C X=-1/3

D X=1/3

E X=0

Answer:

A and D

Step-by-step explanation:

Note that such question requires using completing the square method of solving equations. By using the values X= -6 and X= 1/3 we arrive at a solution.

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3 years ago
Six out of ten people reported they like coffee. What percent of people
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3 years ago
2x^2+5x+3/x^2-3x-4 divided by 4x^2+2x-6/x^2-8x+16
Masja [62]

Answer: \frac{x-4}{2x-2}

Step-by-step explanation:

\frac{2x^2+5x+3}{x^2-3x-4} divided by \frac{4x^2+2x-6}{x^2-8x+16} is the same thing as multiplying \frac{2x^2+5x+3}{x^2-3x-4} by \frac{x^2-8x+16}{4x^2+2x-6}.

The equation we get is:

\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}

With this equation, we can factor each equation:

\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}

We can cancel out like terms since they would be dividing each other:

\frac{x-4}{2x-2}

8 0
3 years ago
Ryan has deposited $100 into a retirement account at the end of every month for 50 years. The interest rate on the account is 1.
Andre45 [30]

Answer:

future payment is $77056.92

total interest is paid after 45 year is  $23056.42

Step-by-step explanation:

Given data

payment (P) = $100

No of installment (n) = 12

rate of interest ( r ) = 1.5 %  i.e. = 0.015

time period (t) = 45 years

to find out

future payment and interest after 45 year

solution

we know future payment formula i.e. given below

future payment = payment × (1+\frac{r}{n})^{nt} - 1) / (r/n)

now put all these value in equation

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total interest = future payment  - money paid

total interest = $77056.42 - $54000

total interest = $23056.42

4 0
3 years ago
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