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n200080 [17]
3 years ago
6

The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases?
Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

5 and 11

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)*h

We know the height  is 8 and the area is 64.  

Let one of the bases is b and the other is b+6

64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

16 = 2b+6

Subtract 6 from each side

16-6 = 2b+6-6

10 =2b

Divide each side by2

10/2 =2b/2

5=b

The second base is

5+6 =11

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iogann1982 [59]

Answer:

3^9x=3^-2x

Step-by-step explanation:

27^3x=(1/9)^x

3^3×3x=(1/3^2)^x

3^9x=3^-2x

5 0
3 years ago
Help urgent, which functions are bounded below but not above? Choose all answers that apply.
evablogger [386]

Answer:

c, e, f, and i

Step-by-step explanation:

a. is bounded above at y = 1 and below at y = 0

b. is unbounded both above and below

c. is bounded below at y = 0 and unbounded above

d. is unbounded both above and below

e. is bounded below at y = 0 and unbounded above

f. is bounded below at y = 0 and unbounded above

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3 0
3 years ago
Which best describes the angles of some parallelograms?
Vinil7 [7]
The answer is C. 4 obtuse angles could not make a 4 sided figure such as a parrallelogram. 4 acute angles is not possible for creating parallelograms either.
7 0
2 years ago
Melanie's room measures 10 ft by 12 ft. Her rug covers 90 ft². Explain how to determine the percent of floor covered by the rug.
Inessa [10]

\huge \bf༆ Answer ༄

Here's the solution ~

Area of floor is ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10 \times 12

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:120 \: ft {}^{2}

Area covered by rug is ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:90 \: ft {}^{2}

So, the percentage of floor covered by rug is ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{90}{120}  \times 100

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{3}{4}   \times 100

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:3 \times 25

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:75  \%

5 0
2 years ago
Read 2 more answers
How many ways can Carlos choose 2 pizza toppings from a menu of 4 toppings if each topping can only be chosen once?
Ahat [919]

Answer:

30 different ways

Step-by-step explanation:

Hi

for the first topping she can choose 1 of 6 items

so she has 6 choices

and then the second topping she has 5 choices as each topping can only be chosen once

so it comes 6 * 5 = 30

3 0
3 years ago
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