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3 years ago

What is the midpoint of AB

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

Therefore, the coordinates of the midpoint of AB are (x1+x22, y1+y22). ... That is the middle point of the line segment joining the points (x1, y1) and (y2, y2) has the coordinates (x1+x22, y1+y22). Solved examples on midpoint formula: 1.

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What two consecutive while numbers does square root of 68 lie?

Fynjy0 [20]

You want to know the two numbers that squared are on either side of 68.

8^2 and 9^2=64 and 81

So the two consecutive numbers are 8 and 9

7 0

3 years ago

9 times the sum of b and 2 is 8

Ksivusya [100]

I suppose you want to solve the following equation for b:

$9(b+2)=8$

First of all, you need to divide both sides by 9:

$b+2 = \dfrac{8}{9}$

Then, subtract 2 from both sides:

$b = \dfrac{8}{9}-2 = \dfrac{8}{9}-\dfrac{18}{9} = -\dfrac{10}{9}$

7 0

3 years ago

Given: ∆ABC, m∠C = 90°

Galina-37 [17]

Answer: 16 units

Step-by-step explanation:

Given that in triangle ABC, m∠C=90,

it means m∠A +∠B= m∠BAC + m∠ABC = 90

m∠ABC = 90 - m∠BAC

Also given that;m∠BAC = 2m∠ABC

So,

m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC

m∠BAC +2m∠BAC = 180

3m∠BAC = 180

m∠BAC=180/3 = 60

m∠ABC = 60/3 = 30

thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,

AC=24/√3=8√3AL bisects angle A =>m∠LAC=30

ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16

8 0

3 years ago

Find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie

Savatey [412]

Answer:

Volume of the cone is 120 π cm³

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

$\\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\$

On Substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\$

Volume of a cone is 120 π cm³

6 0

2 years ago

Given f(x) = x − 7 and g(x) = x^2 . Find g(f(4)).

garri49 [273]

So basically -3 x 16. Yeilds -48

7 0

4 years ago

Read 2 more answers