3 years ago

Translate ”twice the sum of four times a number and six” into a variable expression and simplify

Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer:

2 x (4 times X + 6)

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Prove that . 1+cot2 theta = cosec2theta

igor_vitrenko [27]

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

$\frac{sin^20}{sin^20}$ + $\frac{cos^20}{sin^20}$ = $\frac{1}{sin^20}$ , that is

1 + cot²θ = cosec²θ ← as required

6 0

3 years ago

find the volume of the cone. either enter exact answer in terms of pi or use 3.14 for pi and round your final answer to the near

SCORPION-xisa [38]

Answer:

$6\pi u^3 = 18.8u^3$

Step-by-step explanation:

the information we have is:

the radius of the circle in the base: $r=3u$ (u for units)

and the height of the cone: $h=2u$

to find the volume we need the formula for the volume of a cone:

$V=\frac{\pi r^2h}{3}$

where r is the radius and h is the height.

Substituting the known values to find the volume:

$V=\frac{\pi (3u)^2(2u)}{3} \\\\V=\frac{\pi (9u^2)(2u)}{3}\\ \\V=\frac{18\pi u^3}{3}\\ \\V=6\pi u^3$

the volume in terms of $\pi$ is $6\pi u^3$

and if we substitute the value of pi: $\pi=3.14$ we get:

$V=6(3.14)u^3\\V=18.8u^3$

5 0

3 years ago

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What is the measure of angle D? A. 75° B. 80° C. 95° D. 110°

lana66690 [7]

Answer:

110%

Explanation:

8 0

3 years ago

Someone Please help me

DIA [1.3K]

1) x1= -8 , x2=16
2) x= 11
3) 7/8 or 0.875

5 0

2 years ago

Type the missing numbers

andrew11 [14]

Answer:

-8, -4, 2

Step-by-step explanation:

-8, -4, 2

6 0

2 years ago

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