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2 years ago

If f(x) = x and g(x) = X + 2, which statement about the graphs of the functions is true?

Mathematics

1 answer:

Liula [17]2 years ago

7 0

Answer: D

Step-by-step explanation: +2 would be an upwards translation

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What is the surface area of cone below Diameter AB=21 and distance from B to C =36

Vesnalui [34]

Answer:

1533.88261311522

Step-by-step explanation:

Let r be the radius of the (base/circle)

and L be the slant height of the cone

Formula ………………………………………………………………………………………………………

The surface area of a cone = the (curved/lateral) surface area + the base

$=\pi r^{2}\ \ \ +\ \ \ \pi Lr$

=========================================

$r=\frac{21}{2} =10.5$

L = BC = 36

$\text{surface area} =\pi \left( 10.5\right)^{2} +\pi \times 36\times \left( 10.5\right)$

$=346.360590058275 + 1187.52202305694$

$=1533.88261311522$

6 0

1 year ago

If a ball is dropped from 160 cm and rebounds to 120 cm on the first bounce, how high will the ball be on the 2nd bounce

notka56 [123]

The answer is 80 cetemeters

6 0

3 years ago

Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0

3 years ago

A right triangle with a keg 3mi and hypotenuse 5mi

kolbaska11 [484]

Answer:

Step-by-step explanation:

this is a famous triangle :) known as the 3-4-5 triangle...

it has an angle of 53.73... on the side with the 3

and an angle of 36.869... on the side with the 4

hope that helps with what ever the question is :)

4 0

3 years ago

Find the measure of each angle indicated. Round to the nearest whole degree.

IceJOKER [234]

D. 48 degrees
on calculator: 2ND SIN (72/97) = about 47.92

3 0

3 years ago