What values of b satisfy 3(2b + 3)2 = 36?

2 answers:

4 0

To find the answer, you need to solve for b.

2(2b + 3) = 12 divide both sides by 3
2b + 3 = 6 divide both sides by 2
2b = 3 subtract 3 from both sides
b = 1.5 divide both sides by 2

b = 1.5 satisfies the equation. if you plug 1.5 in, you get that the equation is true.

zaharov [31]3 years ago

3 0

Answer:

Everyone is simplifying too far. The answer is A. b = (-3 +- 2 square root 3) / 2

Step-by-step explanation:

+-square root 3 - 3/2 is correct but that is not one of the options.

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Find the exact value of x

Galina-37 [17]

Answer:

8.94 (Rounded would be 9)

Step-by-step explanation:

By using the Pythagorean Theorem formula,

A^2+B^2 = C^2

You have the hypotenuse (c) = 12

and you have a leg (a) = 8

and you're trying to find another leg (b) = x

In order to find this, you'll have to change up the formula in order to find (B) instead of (C)

B^2 = C^2 - A^2

(B) = (12)^2 - (8)^2

(B) = 144 - 64

(B) = 80

Square root of 80

B = 8.9

5 0

2 years ago

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The library has at least 5,000 books. Which inequality represents the situation an has an infinite number of solutions?

just olya [345]

MORE THAN OR EQUAL TO 5000<span>≥</span>

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3 years ago

A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?

Leya [2.2K]

The correct answer is 5460 cubic feet or 5460 $ft^{3}$

Explanation:

The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula $Volume =\pi r^{2} h$ . In this formula the symbol $\pi$ refers to the number 3.1415..., the letter $r$ refers to the radius of the base and the letter $h$ refers to the height.

Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula $Area = \pi r^{2}$ , which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process: