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2 years ago

A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The

Mathematics

1 answer:

MariettaO [177]2 years ago

7 0

The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

<h3>What are the dimensions of the rectangle base?</h3>

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let x represent the width of the rectangular base.

Width w = x
Length = l = 3x-75
Perimeter P = 810ft

Plug these values into the equation above.

P = 2( l + w )

810 = 2( (3x-75) + x )

810 = 6x - 150 + 2x

810 = 8x - 150

8x = 810 + 150

8x = 960

x = 960/8

x = 120

Hence,

Width of the rectangle = x = 120ft

Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft

Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

Learn more about rectangles here: brainly.com/question/17043956

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Helppppppp math !!!!!!!!!!

zhannawk [14.2K]

We conclude that the profit if the company produces 10 units is 1,040 dollars.

<h3></h3><h3>How to find the profit?</h3>

The profit is defined as the difference between the revenue and the costs.

In this case, we know that the revenue and costs are defined by:

R(x) = 200x - 5x^2

C(x) = 360 + 6x

Then the profit equation is:

P(x) = R(x) - C(x).

P(x) = 200x - 5x^2 - (360 + 6x)

P(x) = -5x^2 + 194x - 360

Now we want to find the profit when x = 10, then we will get:

p(10) = -5*10^2 + 194*10 - 360 = 1,040

We conclude that the profit if the company produces 10 units is 1,040 dollars.

If you want to learn more about profit:

brainly.com/question/19104371

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5 0

2 years ago

If anyone could help me with this last problem, I would greatly appreciate it.

il63 [147K]

Answer:

From the given information, the value of a is 3 and the measurement of ∠R is 25°

Step-by-step explanation:

For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.

This means that all of the angles and all of the sides of each triangle are going to be equal to each other.

So, knowing this, let;s find the measurement of ∠R first.

All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.

65 + 90 + m∠R = 180

Add 65 to 90.

155 + m∠R = 180

Subtract 155 from 180.

m∠R = 25°

So, the measurement of ∠R is 25°.

Now let's find the value of a.

KL is equal to PQ so we will set up an equation where they are equal to each other.

7a - 10 = 11

Add 10 to 11.

7a = 21

Divide 7 by 21.

a = 3

So, the value of a is 3.

4 0

4 years ago

Is y=6|x|-5 a function

Paul [167]

Yep it is, it has an input and an output or whatever

3 0

3 years ago

Find three consecutive even integers such that the<br> sum of the smallest and the largest is 36.

erastova [34]

n= smallest integer

n+2= middle integer

n+4= largest integer

n + n + 4 = 36

2n+ 4 = 36

2n=32

n= 16 which means that the smallest integer is 16

then you substitute it into the equation for the largest integer

n+4=20

16, 18, 20 is the answer

5 0

3 years ago

25 points to whoever answers ASAP!!!! Find the measure of arc DF. Circle A with chords EF and CD that intersect at point G, the

vlabodo [156]

Answer:

Answered: Visitor

Answers:

k = 13The smallest zero or root is x = -10

===============================

Work Shown:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

m∠EGC=70°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite

m∠EGC=(1/2)[arc EC+arc DF]

Find the value of x

we have

m∠EGC=(7x+7)°

arc EC=50°

arc DF=10x°

substitute and solve for x

(7x+7)°=(1/2)[50°+10x°]

14x+14=50+10x

14x-10x=50-14

4x=36

x=9

Find the measure of angle EGC

m∠EGC=(7x+7)°

substitute the value of x

m∠EGC=(7(9)+7)°=70°.

Step-by-step explanation:

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8 0

4 years ago