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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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Russell worked 45.75 hours this week at a rate of $7.86 per hour. what is his gross pay?

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Philip walked a total of 8 kilometers by making 2 trips to school. After 3 trips to school, how many kilometers will Philip have

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3 years ago

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Gelneren [198K]

Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = $\frac{adjacent}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{5}{7}$ , then

∠ A = $cos^{-1}$ ( $\frac{5}{7}$ ) ≈ 44.42° ( to the nearest hundredth )

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2 years ago

What is three more than the product of a number and 7 equals 8 . use the variable x for the unknown number?

Anastaziya [24]

(7x) + 3 = 8
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x = 5/7

7 0

2 years ago

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find

Evgesh-ka [11]

Answer:

The equation of the circle is $(x+3)^2+(y-5)^2 = 17$

Step-by-step explanation:

The complete question is

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the center of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation.

Find the center-radius form of the circle having the points (1,4) and (-7,6) as the endpoints of a diameter.

Consider that, if both points are the endpoints of a diameter, the center of the circle is the point that is exactly in the middle of the two points (that is, the point whose distance to each point is equal). Given points (a,b) and (c,d), by using the distance formula, you can check that the middle point is the average of the coordinates. Hence, the center of the circle is given by

$(\frac{1-7}{2}, \frac{4+6}{2}) = (-3,5)$ .

We will find the radius. Recall that the radius of the circle is the distance from one point of the circle to the center. Recall that the distance between points (a,b) and (c,d) is given by $\sqrt[]{(a-c)^2+(b-d)^2}$ . So, let us use (1,4) to calculate the radius.

$r = \sqrt[]{(1-(-3))^2+(4-5)^2} = \sqrt[]{17}$ .

REcall that given a point $(x_0,y_0)$ . The equation of a circle centered at the point $(x_0,y_0)$ is

$(x-x_0)^2+(y-y_0)^2 = r^2$

In our case, $(x_0,y_0)=(-3,5)$ and $r=\sqrt[]{17}$ . Then, the equation is

$(x-(-3))^2+(y-5)^2 = (x+3)^2+(y-5)^2 = 17$

4 0

2 years ago