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Zielflug [23.3K]

2 years ago

9

What is the area, in square centimeters, of the shape below? Express your answer as a fraction in simplest form.

1 answer:

navik [9.2K]2 years ago

7 0

Answer:

1/48

Step-by-step explanation:

Area of triangle= 1/2*b*h

=0.5*1/4*1/6

=1/48

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Which of the following is a factor of 2xy + 8y − 8x − 32?

muminat

You could start by eliminating wrong answer(s):

(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,

(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)

On the other hand:

(b) 2 definitely divides evenly into </span>2xy + 8y − 8x − 32: 2(<span>xy + 4y − 4x − 16)

(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
We get 2(x +4) [y - 4]</span>

4 0

3 years ago

Mark earns $300 per month plus an additional 2% on all of his sales. Last month he sold $59,000. What was Mark's income for the

KatRina [158]

Answer:

59,000 times 0.02= $1,180 commission plus $300 = $1480

In order to get your answer you have to change the percent into a decimal and it’s commission so you have to add.

7 0

2 years ago

2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566

pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

$T_n=3n+17$

Subtract 17 from both the sides.

$T_n-17=3n$

Divide both sides by 3.

$\frac{T_n-17}{3}=n$

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

$n=\frac{80-17}{3}=21$

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

$n=\frac{170-17}{3}=51$

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

$n=\frac{217-17}{3}=66.67$

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

$n=\frac{312-17}{3}=98.33$

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

$n=\frac{278-17}{3}=87$

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

$n=\frac{3566-17}{3}=1183$

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

7 0

3 years ago

If one pint is the same amount as 2 cups, how many cups are in 6 pints?

dmitriy555 [2]

Answer:

12 cups

Step-by-step explanation:

cup 2:1 pint

cup 12:6 pint

the ratio stays the same

8 0

2 years ago

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In the scale used on a blueprint, 1/4 inch represents 3 feet. On the blueprint, what is the length of a room with an actual leng

Lerok [7]

Set up multiplication to cancel units you do not want in your answer...

24ft(.25in/3ft)=2in

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2 years ago

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