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Mathematics

1 answer:

White raven [17]2 years ago

5 0

The area of the polygon with the given vertices is of 7.5 square units.

<h3>What is the area of a right triangle?</h3>

The area of a right triangle is given by half the multiplication of the lengths of it's sides.

The polygon in this problem is a right triangle with sides 3 and 5, hence the area is given by:

A = 0.5 x 3 x 5 = 7.5 square units.

More can be learned about the area of a right triangle at brainly.com/question/17335144

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You drive 140 miles in 2.5 hours and 300 miles in 5.5 hours. What is the rate of change ?

Sveta_85 [38]

The answer is one and five elevenths, or: 1 5/11

this is because 140/2.5 is 56 and 300/5.5 is 54 6/11.

56 - 54 6/11= 1 5/11

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3 years ago

TIMED QUESTION NEED HELP FASTWhat values of b satisfy 3(2b + 3)2 = 36?

egoroff_w [7]

Answer:

$\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}$

Step-by-step explanation:

$3(2b+3)^{2}=36\\\frac{3(2b+3)^{2}}{3}=\frac{36}{3}\\(2b+3)^{2}=12$

Taking square root both sides, we get

$\sqrt{(2b+3)^{2}}=\pm \sqrt{12}\\2b+3=\pm \sqrt{4\times 3}\\2b+3=\pm 2\sqrt{3}\\2b+3-3=\pm 2\sqrt{3}-3\\2b=-3\pm 2\sqrt{3}\\b=\frac{-3\pm 2\sqrt{3}}{2}\\b=\frac{-3+ 2\sqrt{3}}{2}\textrm{ or }b=\frac{-3- 2\sqrt{3}}{2}$

Therefore, the values of $b$ are:

$\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}$

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3 years ago

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3 sisters are each 2 years apart in age. The youngest sister is Emily the middle sister Samantha and the older sister is Lauren

Jet001 [13]

Emily is 12, Samantha is 14, and Lauren is 16. Basically all you do to solve this problem is add numbers that are two apart until you find something.

Ex. 2+4+6=12 4+6+8=18 so on and so forth.

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3 years ago

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Luda [366]

Answer:

y=(14-8x) divided by 2

Step-by-step explanation:

minus 8x from both side you get

2y=14-8x

then you divide by 2

y=(14-8x) divided by 2