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Paladinen [302]

4 years ago

14

Which relationship describes angles 1 and 2? Select EACH correct answer. Thank You!

1 answer:

kkurt [141]4 years ago

5 0

Well they are congruent at 45° each....

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What is the volume of the right triangular prism shown?

ollegr [7]

<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

<u>Area of the base of the triangle:</u>

The area of the base of the triangle can be determined using the Heron's formula.

$S=\frac{a+b+c}{2}$

Substituting a = 8, b = 15 and c = 17. Thus, we have;

$S=\frac{8+15+17}{2}$

$S=\frac{40}{2}=20$

Using Heron's formula, we have;

$Area = \sqrt{S(S-a)(S-b)(S-c)}$

$Area = \sqrt{20(20-8)(20-15)(20-17)}$

$Area = \sqrt{20(12)(5)(3)}$

$Area = \sqrt{3600}$

$Area = 36$

Thus, the area of the base of the right triangular prism is 36 square units.

<u>Volume of the right triangular prism:</u>

The volume of the right triangular prism can be determined using the formula,

$V=\frac{1}{2}A_b h$

where $A_b$ is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

$V=\frac{1}{2}(60\times 15)$

$V=450$

Thus, the volume of the right triangular prism is 450 cubic units.

8 0

3 years ago

PLEASE PLEASE ANSWER QUICKLY

ipn [44]

Answer:

Step-by-step explanation:

perimeter of rectangle=2(length+width)

=2(70+65)

=2*135

=270 feet

4 0

3 years ago

Read 2 more answers

Find the f^-1(x) and it’s domain

borishaifa [10]

Answer:

$f^{-1}(x) = (x + 8)^2$

$x \ge -8$

Step-by-step explanation:

Given

$f(x) = \sqrt x - 8$

Solving (a): $f^{-1}(x)$

We have:

$f(x) = \sqrt x - 8$

Express f(x) as y

$y = \sqrt x - 8$

Swap x and y

$x = \sqrt y - 8$

Add 8 to $both\ sides$

$x + 8 = \sqrt y - 8 + 8$

$x + 8 = \sqrt y$

Square both sides

$(x + 8)^2 = y$

Rewrite as:

$y = (x + 8)^2$

Express y as: $f^{-1}(x)$

$f^{-1}(x) = (x + 8)^2$

To determine the domain, we have:

The original function is $f(x) = \sqrt x - 8$

The range of this is: $f(x) \ge -8$

The $domain$ of the $inverse$ function is the $range$ of the $original$ function.

<em>Hence, the domain is:</em>

$x \ge -8$

3 0

3 years ago

Six less than three times a number is eighteen. What is the number?

Snezhnost [94]

Answer: 6-3x=18

Step-by-step explanation: You just have to read what the question says for example Six less than three times a number is 6-3x=18

7 0

3 years ago

Karla is ordering a pizza. The cost of the pizza is $8.99, plus she must pay $1.50 for each additional topping. Write an equatio

icang [17]

Answer:

8.99+1.50t

Step-by-step explanation:

hope this helps

3 0

3 years ago

Read 2 more answers