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lana [24]
3 years ago
13

Complete the parts in each step to find the area of each trapezoid?

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

$A=\frac{b_{1}+b_{2}}{2} \times h

Step 2: Substitute the given values in the formula.

$A=\frac{7+3}{2} \times 4

Step 3: Add 7 and 3.

$A=\frac{10}{2} \times 4

Step 4: Divide 10 by 2, we get

A=5 \times 4

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

The area of the trapezoid is 20 in².

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A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in
Scorpion4ik [409]

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = \frac{1}{2} * base * height = \frac{1}{2} * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

7 0
3 years ago
a $35 decrease followed by a $25 increase is it same as the origional price,is it less the the origional ,or is it greater than
velikii [3]
It is less than original
8 0
3 years ago
-4/3x-6=-26 <br><br>A. -27<br>B. -15<br>C. 15<br>D. 27
JulsSmile [24]

Answer:

C. 15

Step-by-step explanation:

-4/3x-6=-26


The first step is to add 6 to each side

-4/3x-6+6=-26+6

-4/3x =-20  

Now multiply by -3/4 to isolate x.

-3/4 * -4/3x = -3/4 * -20

x = 60/4

x = 15

5 0
3 years ago
In order to be admitted for a certain ride at an amusement park, a child must be greater
Daniel [21]

Child must be higher than 36 which means any number between or above 36 isn't  allowed . graph that.

7 0
3 years ago
In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat
monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

f(t) = 10000(0.9407)^t

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

f(t) = f(0)(1-r)^t

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that f(0) = 10000, thus:

f(t) = 10000(1-r)^t

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

f(2) = 8850

We use this to find 1 - r.

f(t) = 10000(1-r)^t

8850 = 10000(1-r)^2

(1-r)^2 = \frac{8850}{10000}

(1-r)^2 = 0.885

\sqrt{(1-r)^2} = \sqrt{0.885}

1 - r = 0.9407

Thus

f(t) = 10000(1-r)^t

f(t) = 10000(0.9407)^t

7 0
3 years ago
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