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lorasvet [3.4K]
3 years ago
13

a rectangle parking lot has an area of 1775 square meters and a perimeter of 192 meters what is it dimension

Mathematics
1 answer:
algol133 years ago
6 0

Answer:

71 & 25 m

Step-by-step explanation:

a • b = 1775

2a + 2b = 192

substitution:

a = 1775/b

2(1775/b) + 2b = 192

distribute the 2

(3550/b) + 2b = 192

subtract 192 from both sides

(3550/b) + 2b - 192 = 0

transform the expression by dividing all terms by b

(3550 + 2b² - 192b) / b = 0

when the quotient of expressions equals 0, the numerator has to be 0

3550 + 2b² - 192b = 0

reorder the terms

2b² - 192 b + 3550 = 0

divide by sides by 2

b² - 96b + 1775 = 0

rewrite -96b as a difference using factoring X

b² - 25b - 71b + 1775 = 0

factor the expression (factor out b)

b (b-25) - 71b + 1775

factor out b - 25 from the expression

(b - 25) (b - 71) = 0

if b = 25 or 71, then a = 71 or 25

71 & 25 m

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schepotkina [342]

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Step-by-step explanation:y+5=-3(x-4)

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8 0
3 years ago
The volume of the truck 15 ft cubed. The area of the base of the container is 6 ft squared. What is the height of the clothing t
Helen [10]

Given Information:

Volume of truck = 15 ft³

Area of base of container = 6 ft²

Required Information:

Height of truck = h = ?

Answer:

Height of truck = h = 2.5 ft

Step-by-step explanation:

The volume of the truck is given by

V = l*w*h

Where l is the length, w is the width, h is the height

The area of the base of container is given by

A = l*w

Where l is the length and w is the width.

Substitute the equation of area into the volume of the truck equation.

V = l*w*h

V = (A)*h

Re-arrange for the height,

h = V/A

h = 15 ft³/6 ft²

h = 2.5 ft

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8 0
3 years ago
What is the simplified form of 8b^3c^ 2a + 4b^3c^2?
stiv31 [10]
8b^{3} c^2+4b^{3} c^2
= (8+4) b^{3} c^2
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Hope this helps !

Photon
8 0
3 years ago
<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2
MrMuchimi

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

<em>angle 1 + 2*angle 1 + 6 = 180</em>

<em>3*angle 1 = 174</em>

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

<em>angle 2 + 58 = 180</em>

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

7 0
4 years ago
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