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4 years ago

Find and explain how to find D.

Mathematics

1 answer:

almond37 [142]4 years ago

8 0

A = 80/2 = 40
b = 100/2 = 50

d = 180 - (a+b)
d = 180 - (40+50)
d = 180 - 90
d = 90

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If f(x)=|3x-4|+2 find f(-10)

Nat2105 [25]

Answer:

$f(-10)=36$

Step-by-step explanation:

$f(x)=|3x-4|+2\\f(-10)=|3(-10)-4|+2\\f(-10)=|-30-4|+2\\f(-10)=|-34|+2\\f(-10)=34+2\\f(-10)=36$

Rgds!

6 0

3 years ago

3√12•√6<br><br>please show a step by step explanation

Oduvanchick [21]

Answer: $18\sqrt{2}\\\\$

This is the same as saying 18*sqrt(2) or you could say 18√2

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Explanation:

We'll be using this square root rule: $\sqrt{A}*\sqrt{B} = \sqrt{A*B}$

So we could have this as our steps:

$3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\$

Therefore, $3\sqrt{12}*\sqrt{6} = 18\sqrt{2}$

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

5 0

3 years ago

Find the perimeter of the polygon. Round your answer to the nearest tenth.

lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

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Perimeter refers to sum of lengths of all the sides.

Perimeter = $5.4+8.5+7.1+7+10.8=38.8$

Or approximately 39 units

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Sphinxa [80]

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