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mr Goodwill [35]
3 years ago
13

PLEASE HELP!!!

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

t^2+4

Step-by-step explanation:

The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:

4t-6+2w=2t^2+4t+2

4t+2w=2t^2+4t+8

2w=2t^2+8

w=t^2+4

This means that the table's width is t^2+4

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Identify the area of the trapezoid.
Vlad1618 [11]

Option B: The area of the trapezoid is 157.5 m²

Explanation:

We need to determine the area of the trapezoid.

The area of the trapezoid can be determined by the formula,

Area=\frac{h}{2} (a+b)

where h is the height, a and b are the base of the trapezoid.

From the figure, it is obvious that a=14 , b=7 and h=15

Substituting these values in the formula, we have,

Area=\frac{15}{2} (14+7)

Simplifying the terms, we have,

Area=\frac{15}{2} (21)

Multiplying the terms in the numerator, we have,

Area=\frac{315}{2}

Dividing, we get,

Area= 157.5 \ m^2

Thus, the area of the trapezoid is 157.5 m²

Hence, Option B is the correct answer.

4 0
3 years ago
What are the factors of 42
Kaylis [27]
42|2 \\ 21|3 \\ 7 \ |7 \\ 1 \\ \\ \\ \boxed{42=2*3*7}
7 0
2 years ago
Write 11/75 as a decimal
Maru [420]

Answer:

0.147

Step-by-step explanation:

This is rounded to the nearest thousandths place. 11 divided by 75 is 0.147.

3 0
3 years ago
Read 2 more answers
Which is an equation in slope intercept form of the line that contains the points (7,-9) and (8,-7)
jeyben [28]

Answer:

y=2x-23

Step-by-step explanation:

m=(-9+7)/(7-8)=-2/-1=2

y=2x+b

-7=2(8)+b

-7-16=b

b=-23

y=2x-23

7 0
3 years ago
A 9,000-lb load is suspended from the roof in a shopping mall with a 16-ft-long solid aluminum rod. The modulus of elasticity of
Westkost [7]

Answer:

Step-by-step explanation:

Given:

elongation, x = 0.50 in

Force, f = 9000 lb

Young modulus, E = 10,000,000 psi

Maximum Stress, Sm = 30000 psi

Length, L = 16 ft

Converting ft to in,

12 in = 1 ft

=16 × 12 = 192 in

Young modulus, E = stress/strain

Stress = force/area, A

Strain = elongation, x/Length, L

E = f × L/A × E

1 × 10^7 = stress/(0.5/16)

= 26041.7 psi

Minimum stress = 26041.7 psi

Maximum stress = 30,000 psi

Stress = force/area

Area = 9000/26041.7

= 0.3456 in^2

Stress = force/area

Area = 9000/30000

= 0.3 in^2

Using minimum area of 0.3 in^2,

A = (pi/4)(d^2)

0.3 in^2 = (pi/4)(d^2)

d = 0.618 inches

diameter, d = 0.618 inches

7 0
3 years ago
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