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FinnZ [79.3K]
3 years ago
13

What is the area of this trapezoid?

Mathematics
2 answers:
andre [41]3 years ago
5 0

Answer:

168in2

Step-by-step explanation:

I hope this helps...

sashaice [31]3 years ago
3 0

Answer:

A = 192 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 12, b₁ = AB = 14 and b₂ = DC = 2 + 14 + 2 = 18, then

A = \frac{1}{2} × 12 × (14 + 18) = 6 × 32 = 192 in²

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One ball is drawn at random from a bag containing 17 red r balls and 9 white w balls. what is the probability that the ball is g
Leokris [45]
If there are no green balls in the bag, the probability of drawing a green ball is zero.
6 0
3 years ago
Read 2 more answers
Nancy and Mark commute to work, traveling in opposite directions. Nancy leaves the house at 7:00 A.M. And average 20 miles per h
vladimir2022 [97]

Answer:

They will be 170 miles apart at 10 AM

Step-by-step explanation:

Nancy has 15´ of  head start which is 1/4 hr.

NHD = 20*(1/4) = 5 miles is her head start

Mark leaves at 7.15hs = starting point

Marks stop at when they are 170 miles apart = t

------------------------------

t = the time they are 170 miles apart

d= distance in miles Nancy travels in time t

170 - (d+5) = distance in miles Mark travels in time t

------------------------------

Nancy's equation:

(1) d = 20t

Mark's equation:

(2) 170 - (d+5) = 40t

---------------------------

(2) 170-d-5=40t

(2) d+40t=165

Substitute (1) into (2)

(2) 20t+40t=165

(2) 60t=165

(2) t=2.75

7:15 AM + 2.75 hrs (2:45hs) = 10 AM

They are 170 miles apart at 10 AM

check:

(1) d=20t

(1) d=20*2.75

(1) d= 55

---------------

(2) 170 - (d+5) = 40t

(2) 170 - (d+5) = 40*2.75

(2) 170 - d-5 = 110

(2) d=55

4 0
3 years ago
Complete the table by cubing each positive x-value.
Rama09 [41]
I think you forgot to add your table
5 0
2 years ago
What is the solution to –2(8x – 4) < 2x + 5?
ivolga24 [154]

Answer:

-8<2x+5

Step-by-step explanation:

-2 times 8x= -16x

-2 times 4=-8

-16-(-8)<2x+5

-16-(-8)=-8

-8<2x+5

8 0
2 years ago
Read 2 more answers
You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch. What is the ratio of t
swat32

Answer:

<u>2 : 5</u> is the ratio of the amount of juice to the amount of ginger ale.

Step-by-step explanation:

Given:

You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch.

Now, to get the ratio of the amount of juice to the amount of ginger ale.

Amount of juice = 1\frac{1}{2}=\frac{3}{2} \ quarts.

Amount of ginger ale = 3\frac{3}{4}=\frac{15}{4} \ quarts.

So, to get the ratio of amount of juice to amount of ginger ale:

\frac{3}{2} :\frac{15}{4}

=\frac{\frac{3}{2}}{\frac{3}{4}}

=\frac{3}{2} \times \frac{4}{15}

=\frac{12}{30}

On simplifying it:

=\frac{2}{5}

=2:5.

Therefore, 2 : 5 is the ratio of the amount of juice to the amount of ginger ale.

3 0
3 years ago
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