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Lorico [155]
3 years ago
9

Find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).​

Mathematics
2 answers:
alekssr [168]3 years ago
7 0

Answer:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

gtnhenbr [62]3 years ago
3 0

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is A=\pi r^{2}. Pi is about 3.14, and radius (r) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

\pix3^{2}≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

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$13,168is invested, part at 13%and the rest at
Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

P = y

R = 5%

T = 1 year

I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0
3 years ago
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daser333 [38]
You can use the vertical line test to determine if the graph is a function.

A function must: for every x value have only one y value.

Vertical line test: if you draw a bunch of vertical lines each line only touches the graph once.

So a circle would not be a function, or a horizontally facing parabola, etc... Remember, if you draw a vertical line "|" and it touches the graph more than once at any point then it is not a function.

Now take a look at the graph in the question.
In this graph if we do the vertical line test there are no place where a vertical line touches the graph twice so this graph is indeed a function.

This means your answer is C. Yes
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Step-by-step explanation:

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