What is the area of this trapezoid?A) 108 in²
B) 139.5 in²
C) 166 in²
D) 171 in²
What is the area of this trapezoid? A) 108 in² - 1

Answers

Answer 1
Answer:

Answer:

B)139.5

Step-by-step explanation:

Right-angled triangle formula A=ab/2 so find the area of both triangles left side: 2*9/2=9 right side 5*9/2= now find the area of the rectangle 9*12= add all them together 9+22.5+108=139.5


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Yoko earns 48 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let A be the amount (in dollars) that Yoko earns in a week if she sells B books. Write an equation relating A to B. Then use this equation to find the amount of money Yoko earns if she sells 21 books.
the area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 mile what is the width in miles of the park?

The area of the polygon is 48 mi2. What is the length of side a? miles

Answers

Answer:

Length of side a = 4.30 miles

Incomplete question:

The area of the regular polygon is 48 mi2. What is the length of side a? miles

Step-by-step explanation:

The number of sides of sides of the polygon is not given, so we will assume the polygon is an hexagon as shown in the attached image;

Given;

Area = 48 mi^2

Area of an hexagon using side a can be written as;

A = (3/2)√3×a^2

Making a the subject of formula

a = √(2/3√3 ×A)

Substituting the values

a = √(2/3√3 ×48)

a = √(32/√3)

a = 4.30 miles

To find the Length of Polygon Sides ('a') of a square polygon with an area of 48 mi², we apply the formula a = √Area. This gives a = √48 miles. This formula applies specifically to squares.

Given the area of the polygon is 48 square miles, to find the length of a side, we would first need to know the type of polygon.

For instance, if it's a square, the area is calculated by squaring one of its sides (Area = side²).

Here, to find the side length ('a'), we take the square root of the area. So, a = √Area.

Applying this to the given area, a = √48 miles.

However, please note that this formula is for a square.

Other polygons have different formulas for calculating such dimensions.

Learn more about Length of Polygon Sides here:

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Andy buys a computer that costs $575. The sales tax is 5%. Describe a method he could use to estimate the sales tax. Will the estimates tax be greater than or less than the actual tax? Explain.

Answers

One Method) Multiply 575 by .05 (5%=.05) then add the answer by 575

What is 12 divided by one third

Answers

12 divided by 1/3 is the same as doing 12x3 so it's 36
(12)/( (1)/(3) )=12÷ 1/3=12*3=36

The points (4,t) and (5,-
4) fall on a line with a slope of
-
7. What is the value of t?
t=

Answers

Answer:

t = -3

Step-by-step explanation:

To answer this problem, first you have to know how to calculate the slope of a line. Since we know that y1-y2/x1-x2 is the equation to calculate slope, we are ready to tackle this problem.

Because y1 is t, y2 is 4, x1 is 4, and x2 is 5, we can now plug this in to our equation. The equation becomes t-4/4-5. And because we know the slope is 7, the equation is now (t-4)/(4-5)=7. If you solve this equation, you will get that t=-3

Find the axis of symmetry and the vertex of the graph of f(x) = -5x^2 +20x -9.

Answers

Answer:

Axis of Symmetry:

x=2

Vertex:

(2,11)

Step-by-step explanation:

Finding the derivative:

f'(x)=-10x+20

Setting the slope equal to zero:

-10x+20=0      x-2=0    x=2

Finding vertex:

f(2)=-5*(2)^2+20*2-9

=-20+40-9=20-9=11

(2,11)

What are the excluded values of the function y= -2/5x+40

Answers

Answer:

subtraction & multiplication

Step-by-step explanation: