Complete the statement to describe the expression (a + b + c) (d + e + f)

Mathematics

1 answer:

Gnesinka [82]3 years ago

3 0

Answer:

The expression consists of 2 factors, and each factor contains 3 terms.

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A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them

charle [14.2K]

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$

$\sin \ \theta = \frac{60,000}{90,000}$

$\sin \ \theta = \frac{2}{3}$

$\sin \ \theta = 0.667$

∴ $\theta = \sin^{-1 }(0.667)$

= 41.83°

3 0

2 years ago

The volume of a cylindrical soap dispenser is modeled by the expression below.select the true statement.a. the expression (x + 1

bulgar [2K]

Answer:

The expression $(x+1)^2$ represents the radius of the soap dispenser.

The expression $4x+1$ represents the height of the soap dispenser.

Step-by-step explanation:

The question says that the soap dispenser is in the form of a cylinder.

Now, we find the volume of the cylinder by using the given formula:

$V= \pi r^2 h$ , where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.

Now, the volume is the product of radius squared and the height, if they both are functions of $x$ , then the function to represent the volume must have cubic exponents.

Since, the radius is squared in the formula and it is a function of $x$ that implies that the function of radius must have square as the exponent of $x$ , therefore, the expression $(x+1)^2$ will represent the radius of the soap dispenser and the expression $(4x+1)$ represents the height of the soap dispenser.