3 years ago

What is the area of the triangle?

Mathematics

1 answer:

elixir [45]3 years ago

3 0

Area are all sides multiplied the formula can be found online

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Part a I think sorry if I’m wrong

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If the sum of a number and seven is doubled, the result is one less than the number. find the number

lawyer [7]

(n + 7)2 = n - 1
2n +14 = n - 1
2n - n +14 = n - n - 1
n + 14 -14 = -1 - 14
n = -15
(-15 + 7)2 = -15 - 1
(-8)2 = -16
-16 = -16

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3 years ago

Every 3 weeks 8 students will lose their metro cards... How many will lose it in 9 weeks

Marina86 [1]

First we must divide 9 by 3.

9/3 = 3

Then multiply it by 8

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3 years ago

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The height of a person in a scale drawing is 4 inches. The person's actual height is 64 inches.

Mariana [72]

I assume you're asking for the scale? It would be 4:64, which simplifies to 1:16.

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Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ

bixtya [17]

Answer:

$AB=2\sqrt{ab}$

Step-by-step explanation:

From figure,

$OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)$

In triangle $OO'D$

$(OO')^2=(OD)^2+(O' D)^2$

$\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]$

Hence, $AB=2\sqrt{ab}$

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3 years ago