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yanalaym [24]
2 years ago
9

A rectangular building is surrounded by a rectangular parking lot. The width of the building is w, and the length is twice the w

idth. The
width of the parking lot is 8 units longer than twice the width of the building. The length of the parking lot is 3 units longer than the length of the
building. What is the area of the parking lot in terms of w? Write the expression in standard form.
Mathematics
1 answer:
slavikrds [6]2 years ago
4 0

Answer:

Parking area = (2W + 8) (2W + 3) = 4W² + 22W + 24

Step-by-step explanation:

BW = W

BL = 2W

PW = 2W + 8

PL = BL + 3 = 2W + 3

Parking area = (2W + 8) (2W + 3) = 4W² + 22W + 24

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A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats
sweet-ann [11.9K]

Answer:

h=48

Step-by-step explanation:

You should create an even proportion. So you could do seconds over heartbeats or the other way around. I decided to do the other way around. Since yu want to see h in m minutes and in a minute there are 60 seconds, I did 8/10 = h/60. Instead of cross multiplying, I saw that 10 times 6 is 60 so 8 x 6=h. 8 x 6 = 48 so h=48.

6 0
1 year ago
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


3 0
2 years ago
Read 2 more answers
If sin(2x + 7) = cos(4x - 7)º, what is the value of x?​
ella [17]

Answer:

x = 15°

Step-by-step explanation:

<u>We are given;</u>

sin(2x + 7) = cos(4x - 7)

We are required to solve for the value of x

  • We need to know that for complementary angles;

Sin θ = Cos (90-θ) where, θ  and 90-θ are complementary angles.

  • Complementary angles are angles that add to 90°
  • Therefore;

(2x +7) + (4x - 7) = 90

 6x = 90

   x = 15°

Therefore, the value of x is 15°

6 0
2 years ago
On a coordinate plane, a rectangle has points K prime (1, 3), L prime (2, 3), M prime (2, negative 3), N prime (1, negative 3).
Sidana [21]

Answer:

M(3,2) and N(3,1)

Step-by-step explanation

trust me

7 0
2 years ago
Royce is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled
Sindrei [870]

Answer:

(0, 2)

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(2,8)

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6 0
2 years ago
Read 2 more answers
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