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3 years ago

13

The measurement of one angle of a right triangle is 34°.

1 answer:

Svetllana [295]3 years ago

4 0

The third angle is 56 degrees because it is a right <u>triangle</u>, so the three angles will add up to 180 degrees. Since it is a right triangle, you know one angle is 90 degrees. All you have to do is add 90 and 34, and then subtract that from 180 to get your third angle.

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Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer

Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation $16x^4 - 24x^3 +9x^2 =0$

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation $16x^4 - 24x^3 +9x^2 =0$

$x^2(16x^2-24x+9)=0$

Either $x^2=0$ or $16x^2-24x+9=0$

When $x^2=0$

$x=0$

When $16x^2-24x+9=0$

Solve by quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}$

$x=\frac{24\pm\sqrt{0}}{32}$

$x=\frac{24}{32}$

$x=\frac{3}{4}$

$x=0.75$

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0

3 years ago

Solve for b.<br> 3-2(b - 2) = 2 - 7b

malfutka [58]

Answer:

b = -1

Step-by-step explanation:

use distributive property to multiply the -2 with the numbers in the parentheses

3 - 2b + 4 = 2 - 7b

7 - 2b = 2 - 7b

add 2b to both sides

7 = 2- 5b

subtract 2 from both sides

5 = -5b

divide by -5

b = -1

5 0

3 years ago

Read 2 more answers

39/28 express as a mixed number

xeze [42]

We can do this easily. Since we know that the numerator is more than the denominator, we need to know by how much.

39-28=11; It's only 11 more, which means 11/28 would be the fraction and the whole number is 1.

39/28= 1 11/28

5 0

3 years ago

A polling organization is asking a sample of U.S. Adults how many pets they own. The frequency distribution below shows the resu

fiasKO [112]

Answer:

The probability that the next person asked has two pets is 0.176

Step-by-step explanation:

The given parameters are;

The frequency distribution of the number of pets owned is presented as follows;

Number of Times ${}$ Frequency ${}$

None ${}$ 354

One ${}$ 981

Two ${}$ 352

Three ${}$ 200

Four ${}$ 113

The probability that the next person asked has two pets = Proportion of the sample that own two pets = 352/(354 + 981 + 352 + 200 + 113) = 0.176

Therefore, the probability that the next person asked has two pets = 0.176

7 0

3 years ago

0.24 scientific notation

Vikki [24]

Answer:

Step-by-step explanation: it is in scientific notation because there is one or no number in front of the decimal

7 0

3 years ago