1. Determine if the two expressions are equivalent and explain your reasoning.

What is the volume of the rectangular pyramid?

Annette [7]

Answer:

Step-by-step explanation:

The formula of a volume of a pyramid:

$V=\dfrac{1}{3}BH$

B - area of a base

H - height

In the base we have the rectangle 12ft × 6ft.

Therefore

$B=(12)(6)=72\ ft^2$

H = 15 ft

Substitute:

$V=\dfrac{1}{3}(72)(15)=\dfrac{(72)(15\!\!\!\!\!\diagup^5)}{3\!\!\!\!\diagup_1}=(72)(5)=360\ ft^3$

5 0

2 years ago

50 points please give step by step instruction

fenix001 [56]

Answer:

 x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

Change cos2x to 1 - 2sin^2x:

1 - 2sin^2x + 2 sinx = sin^2x

Shift the terms to make it a quadratic equation:

3 sin^2x - 2sinx - 1 = 0

Factorise the quadratic equation:

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

Solve for sin x = 1:

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

x = 90, 270 degrees

Solve for sin x = -1/3

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

x = 199.5, 340.5

Hence, x = 90, 199.5, 270, 340.5 degrees

[Sorry if I am wrong :( ]

8 0

3 years ago

QUAMERE SUTHERLAND

nikitadnepr [17]

ANSWER: Hench, Range is 28.8 to 33.2

I hope this helps you :)

3 0

2 years ago

A Tv show had 3.5x10 to the 6th power viewers for their first episode and 8.5x10 to the 6th power viewers for their second episo

Sonbull [250]

is that x a variable or multiplication symbol?

Step-by-step explanation:

if multiplication the answer is 12 • 10 to the 6th power or 12,000,000 they are the same

5 0

2 years ago

I NEED HELP ASAP NOW I WILL MARK YOU BRAINLIST PLEASE

fenix001 [56]

Answer:

Mark the Mariana's Trench as 2 nick to the left of -5 and Mount Everest in the middle of positive 5 and 6.

Then, the absolute value equation is: |-6.9|+|5.5|

8 0

3 years ago