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3 years ago

The county fair is a popular field trip destination. This year the senior class at High

Mathematics

1 answer:

Alexxandr [17]3 years ago

7 0

A bus can carry 59 students while a van can carry 18.

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Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

From your conclusions in part E, how many triangles can be constructed based on the given conditions?

cricket20 [7]

What are the given conditions?

6 0

3 years ago

Read 2 more answers

Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)

Maru [420]

Answer:

x = all real numbers because this equation is an identity

Step-by-step explanation:

9 (1/3) = 9*1/3 = 3

3 + 8x = 4(2x + 3/4)

3 + 8x = 8x + 3

x = all real numbers because this equation is an identity

7 0

2 years ago

Read 2 more answers

What is the perimeter of triangle with side lengths of 29, 15, and 4xy?

ASHA 777 [7]

Answer:

P =44 + 4xy

Step-by-step explanation:

To find the perimeter of a triangle, add up the three sides

P = 29+15+4xy

P =44 + 4xy

4 0

3 years ago

111111111111111111111111111111111111111111111111111

Illusion [34]

Answer:

x = 4

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

5x+4−4=24−4

5x=20

Step 2: Divide both sides by 5.

x=4

you welcome love

6 0

3 years ago

Read 2 more answers