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3 years ago

I NEED HELP!!!!

Mathematics

1 answer:

Ratling [72]3 years ago

7 0

Answer:

8. False.

11 and 13 are consecutive prime numbers, but 11 + 13 = 24 and 24 isn't prime.

9. True.

10. True.

11. True

12. False.

$|-3+1|= 2\\|-3|+|1|=4$

13. True.

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An open box is to be made from a six inch by six inch piece of material by cutting equal squares from the corners and turning up

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8 inch³

Step-by-step explanation:

Side should be 2 inch

Volume = side³ = 2³ = 8 inch³

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3 years ago

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if f(x) = [sqrt{1-x^2}] and g(x) = [sqrt{x}] What is the domain and range for (f+g)of and go(f*g)=?

alisha [4.7K]

We are given with two equations bearing a square root sign within. In this case, the goal of f(x) is to have a value of x not greater than 1 and not less than -1. g(x) should have x only equal to positive numbers. Hence the domain for (f+g) is equal to the positive numbers greater than or equal to 1.in 2. we multiply both functions to give sqrt of x*(1-x2). the domain should be also positive numbers greater than or equal to 1.

3 0

3 years ago

What is the answer? Please help. Urgent.

MArishka [77]

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

$V_1=Length\times Width \times height$

$V_1=16\times 7 \times 3$

$V_1=336$

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

$B=\dfrac{1}{2}\times Base\times Height$

$B=\dfrac{1}{2}\times 3\times 5$

$B=7.5$

The volume of a prism is:

$V_2=Bh$

Where, B is the base area and h is the height of the prism.

$V_2=(7.5)(6)$

$V_2=45$

The volume of combined figure is:

$V=V_1+V_2$

$V=336+45$

$V=381$

Therefore, the volume of the figure is 381 cubic in.

7 0

3 years ago

Help solving this math problem

daser333 [38]

Diagram of two triangles

The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).

The diagram on the left is missing its hypotenuse - the variable c. The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.

Note: The hypotenuse is the longest side of a right triangle.

Word Problen

The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

${a}^{2} + {b}^{2} = {c}^{2}$