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3 years ago

Find the value of 4^2 + 6^2

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

Answer:

Step-by-step explanation:

4^2=4×4=16

6^2=6×6=36

16+36=52

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If you help me I’ll love you forever <3

eimsori [14]

Answer:

translation

Step-by-step explanation:

because a reflection across the x-axis is not right, and neither is across the y-axis. The triangle was also not rotated 90 degrees. It was translated 8 units to the right and 4 units up.

5 0

3 years ago

What is the volume of the right triangular prism shown?

ollegr [7]

Given:

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.

Area of the base of the triangle:

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.

Volume of the right triangular prism:

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

Ralph invested in a mutual fund and at the end of 20 years he has $14,300 in his account. If the mutual fund returned an average

Semenov [28]

Answer:

$\$5,500$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=?\\ A=\$14,300\\r=8\%=8/100=0.08$

substitute in the formula above

$14,300=P(1+0.08*20)$

$14,300=P(2.6)$

$P=14,300/(2.6)$

$P=\$5,500$

7 0

3 years ago

(m 5/6) (m1/6) ^7 = m^x

nadezda [96]

Answer:

x = 2

Step-by-step explanation:

Here, we want to find the value of x

(m^5/6)(m^1/6)^7 = m^x

= (m^5/6)(m^7/6) = m^x

Using the law of indices for power multiplication

m^(5/6 + 7/6) = m^x

m^(12/6) = m^x

m^2 = m^x

we simply equate the powers in this case since the base are equal

Thus we have

x = 2

3 0

3 years ago

What is the radian measure of an angle of 230º?

asambeis [7]

Correct answer is the last one.

8 0

3 years ago