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3 years ago

The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find

Mathematics

1 answer:

vodka [1.7K]3 years ago

6 0

Answer: 49°, 49°, 82°

<u>Step-by-step explanation:</u>

Let x represent the base angles

then 2x - 16 is the vertex angle.

Triangle Sum Theorem states that the sum of the angles is 180°

(x) + (x) + (2x - 16) = 180

4x - 16 = 180

4x = 196

x = 49

Base angles: x = 49

Vertex angle: 2(49) - 16 = 82

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Find the degree of the term -5x to the power of 4

marysya [2.9K]

Answer:

4 or -625x^4 (Just in case I misunderstood)

Step-by-step explanation:

The degree is always the power of something. Since -5x has a power of 4, its degree is 4.

Just in case I misunderstood the question, I will solve it another way that I think you meant. (-5x)^4 is -5^4 times x^4.

-625 times x^4 is -625x^4.

5 0

3 years ago

⦁ The population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. Using the expo

a_sh-v [17]

Answer:

The exponential growth model for the population of the Tallahassee metropolitan area is $y=382627(1.0278)^t$ .

Step-by-step explanation:

The exponential formula is

$y=b(1+r)^t$

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

$y=382627(1+0.0278)^t$

$y=382627(1.0278)^t$

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

$y=382627(1.0278)^8$

$y=476479.828188\approx 476479$

Therefore the projected population in 2025 is 476479.

7 0

4 years ago

Which of the following phrases translates to the expression n - 8?

const2013 [10]

Notice that in the expression n - 8,
the eight is the thing being subtracted.
We could read it like this: "Eight subtracted from a number."

So we can immediately see that the last option is not correct. It's the opposite of what we want. The third option is the same as the last, just worded differently: The number 8, decreased by a number n.

The second option is correct: A number n, but eight fewer than that.
n - 8

6 0

4 years ago

Read 2 more answers

What is the area of this polygon? Enter your answer in the box. units²

Gemiola [76]

Answer:

The area of the polygon is $39\:units^2$

Step-by-step explanation:

Sketch the polygon to obtain the figure in the attachment.

The polygon can then be divided into a rectangle and a triangle.

The area of the polygon

$=|VE|\times |DE|+\frac{1}{2}\times |DE|\times |AM|$

We use the absolute value method to find the lengths

$=|3--2|\times |3--3|+\frac{1}{2}\times|3--3|\times |5-2|$

$=5\times 6+\frac{1}{2}\times 6\times 2$

$=30+9$

$=39\:units^2$

4 0

4 years ago

Read 2 more answers

If you divide 7/8 by 3/4, will the quotient be greater than<br> or less than 7/8

Verizon [17]

I believe that the quotient of 7/8 divided by 3/4 is 1.6 repeating and 1.6 repeating is 1 and 2/3 as a fraction so that means that the quotient of 7/8 by 3/4 is greater than 7/8. I hope this helped.

8 0

4 years ago