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3 years ago

Hello! I really need some help on this.

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

Answer:

The area is 51 units squared.

Step-by-step explanation:

Since you are finding the area of a triangle, you first start with 12 x 8.5 = 102.

Then, you divide 102 in half, since the shape is a triangle. So, 102 ÷ 2 = 51.

So the answer is 51 units squared.

Hope this helps!

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Plz tell me someone know how to do this!!<br> I'll mark brainliest

anygoal [31]

Answer:

It would be the second option

Step-by-step explanation:

z:28 is the ratio of the shorter triangle's side to the larger triangle's side, so is 27:45.

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3 years ago

What is the definition of "constant of proportionality"? Define or show an expression to prove your answer

Feliz [49]

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

(G o o g l e)

Step-by-step explanation:

I hope this helps!

7 0

3 years ago

Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

7 0

4 years ago

A rectangle that is 6 feet by 9 feet has been scaled by a factor of 1/3.

OleMash [197]

The side lengths of the scaled copy are 2 feet by 3 feet and to scale the copy back to its original size, the scale factor to use is 3

<h3>1. What are the side lengths of the scaled copy? feet by feet</h3>

The given parameters are:

Length = 6 feet

Width = 9 feet

The scale factor is given as:

k = 1/3

So, the side lengths of the scaled copy are

Length = 1/3 * 6 feet = 2 feet

Width = 1/3 * 9 feet = 3 feet

Hence, the side lengths of the scaled copy are 2 feet by 3 feet

<h3>2. Suppose you want to scale the copy back to its original size. What scale factor should you use?</h3>

In (1), we have:

The scale factor is given as:

k = 1/3

To scale the copy back to its original size, the scale factor to use is:

Scale = 1/(1/3)

Evaluate

Scale = 3

Hence, to scale the copy back to its original size, the scale factor to use is 3