2 years ago

What is the area of the rectangle?

Mathematics

1 answer:

avanturin [10]2 years ago

6 0

C
I believe is the right one

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How many ways can 4 pizza toppings be chosen from 12 available toppings

Arisa [49]

Answer:

There are 495 different ways to choose 4 pizza toppings from 12.

Step-by-step explanation:

12!/8!4! = 12*11*10*9/(4*3*2) = 11*9*5 = 495

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2 years ago

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Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)

kifflom [539]

Answer:

$\displaystyle y=\frac{2}{3}(x+5)+2$

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

$\displaystyle y=-\frac{3}{2}x+4$

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}$

$\displaystyle m_2=-\frac{1}{-\frac{3}{2}}$

$\displaystyle m_2=\frac{2}{3}$

Now we know the slope of the new line, we use the slope-point form of the line:

$y=m(x-h)+k$

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

$\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}$

6 0

3 years ago

There are about 6,600,000,000 people living in the world. the male to female ratio is 107 to 100. about how many males are there

seropon [69]

3,300,000,000 would be you answer so A.

8 0

3 years ago

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What is the GCF of 35 and 42

zzz [600]

The greatest common factor of 35 and 42 is 7

35/7 is 5 and 42/7 is 6

Hope this helps!

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3 years ago

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There is a total of 25 bicycles. If the ratio of gray bicycles to black bicycles is 6 to 9, how many of them are black?

sveta [45]

the ratio is 6 to 9, 9 out of (6+9) 15 bicycles will be black.

25 * 9/15 = 15

there will be 15 black bicycles

8 0

2 years ago