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3 years ago

What is the area of the object above?

Mathematics

2 answers:

Mariana [72]3 years ago

8 0

Answer:

Step-by-step explanation:

First, the object is a composite polygon. Its a shape with a bunch of shapes in it. This one has 2 rectangles in it.

One is 12x8, the other is 6x5.

To get the total area, you have to add the area of the smaller shapes.

(12x8)+(6x5)=area

12x8=96

6x5=30

96+30=126

area=126in^2

Ludmilka [50]3 years ago

3 0

C. 126 is the correct answer

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Evaluating integral by net area

N76 [4]

The graph of $f(x)=2$ is a horizontal line. So the area under $f(x)$ on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of $g(x)=\sqrt{64-x^2}$ is the upper half of a circle with radius $\sqrt{64}=8$ . It's symmetric about $x=0$ , so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is $\frac{\pi 8^2}4=16\pi$ .

Then use the fact that the definite integral is distributive over sums, meaning

$\displaystyle\int_0^8f(x)+g(x)\,\mathrm dx=\int_0^8f(x)\,\mathrm dx+\int_0^8g(x)\,\mathrm dx=16+16\pi$

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3 years ago

On the teacher’s desk there were 5 boxes of pencils, j pencils in each. How many pencils were there on the desk?

sesenic [268]

Answer:

Step-by-step explanation:

Multiply the number of boxes time the pencils in each box

4 0

3 years ago

A 30-year, $1,000 strip bond was traded for $167, four years after it was issued. What was the semi-annually compounded nominal

Anna007 [38]

Answer:

The semi-annually compounded nominal rate at that time is 7%

Step-by-step explanation:

In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:

PV= FV/(1+r)^n

According to the given data we have the following:

PV=$167

FV=$1,000

n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52

Therefore, 167= $1,000/( 1+r)^52

167/$1,000 =1/(1+r)^52

0.167 =1/(1+r)^52

r =3.50%

Therefore, The semi-annually compounded nominal rate at that time=3.50%*2

The semi-annually compounded nominal rate at that time=7%

The semi-annually compounded nominal rate at that time is 7%

4 0

3 years ago

Can someone help me with this

Leona [35]

Step-by-step explanation:

1. cd and dg

2. angle 2

3. angle gde

4. angle cdh

5. cde is st line

6.cdf = cdh+hdf = 42+117= 159

7. angle fde = 90-73=17

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2 years ago

terracE baked 15 cookies he gave 6 to his sister what percentage of the cookies did he give his sister

torisob [31]

Answer:

40%

Step-by-step explanation:

6 is 40% of 15

3 0

3 years ago