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3 years ago

12

The sum of the measures of angle A and angle B is 180 degrees. The measure of angle A is (4x + 12) The measure of angle B is 60

degrees What is the value of x?

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

Rolf prepares four solutions using different solutes as shown in the table be❤️low.

Which solution is unsaturated?

Solution A

Solution B

Solution C

Solution D

Step-by-step explanation:

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Please help me, on small sentence.

enot [183]

Answer:

no tengo ningún drama

Step-by-step explanation:

i dont have any drama !!!

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3 years ago

How many square feet of outdoor carpet will we need for this hole?

Gwar [14]

Answer: 66 sq ft

Step-by-step explanation:

Break up the shape into three separate shapes

8 * 3 = 24 for the rectangle

There are 2 triangles

The formula for the area of a triangle is 1/2(b)(h)

1 of the triangles has a base of 4 and height of 12

1/2(4)(12) = 24

The other triangle has a base of 3 and height of 12

1/2(3)(12) = 18

24 + 24+ 18 = 66

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3 years ago

baherus [9]

I didn't understood the question in my view the question must be (6x + 4) = 82

Answer:

x = 13

Step-by-step explanation:

6x = 82 - 4

6x = 78

x = 78/6

therefore; x = 13

6 0

3 years ago

Match the numerical expressions to their simplest forms.

Aloiza [94]

Answer:

$(a^6b^1^2)^\frac{1}{3}$ = $a^2b^4$

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$ = $a^3b^2$

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$ = $a^2b$

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$ = $ab^3$

Step-by-step explanation:

Simplify each of the expressions:

1

$(a^6b^1^2)^\frac{1}{3}$

Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.

$(a^6b^1^2)^\frac{1}{3}$

$a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}$

Simplify,

$a^2b^4$

2

Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$

Rewrite as square roots:

$\frac{\sqrt{a^5b^3}}{\sqrt{(ab)}^-^1}$

A negative exponent indicates one needs to take the reciprocal of the number. Apply this here:

$\frac{\sqrt{a^5b^3}}{\frac{1}{\sqrt{ab}}}$

Simplify,

$\sqrt{a^5b^3}*\sqrt{ab}$

Since both numbers are under a radical, one can rewrite them such that they are under the same radical,

$\sqrt{a^5b^3*ab}$

Simplify,

$\sqrt{a^6b^4}$

Since this operation is taking the square root, divide the exponents in half to do this operation:

$a^3b^2$

3

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$

Simplify, to simplify the expression in the numerator and the denominator, the base must be the same. Remember, the base is the number that is being raised to the exponent. One subtracts the exponent of the number in the denominator from the exponent of the like base in the numerator. This only works if all terms in both the numerator and the denominator have the operation of multiplication between them:

$(\frac{a^8}{b^-^4})^\frac{1}{4}$

Bring the negative exponent to the numerator. Change the sign of the exponent and rewrite it in the numerator,

$(a^8b^4)^\frac{1}{4}$

This expression to the power of the one forth. This is the same as taking the quartic root of the expression. Rewrite the expression with such,

$\sqrt[4]{a^8b^4}$

SImplify, divide the exponents by (4) to simulate taking the quartic root,

$a^2b$

4

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$

Using all of the rules mentioned above, simplify the fraction. The only operation happening between the numbers in both the numerator and the denominator is multiplication. Therefore, one can subtract the exponents of the terms with the like base. The term in the denomaintor can be rewritten in the numerator with its exponent times negative (1).

$(a^3^-^1b^(^-^6^*^(^-^1^)^))^\frac{1}{2}$

$(a^2b^6)^\frac{1}{2}$

Rewrite to the half-power as a square root,

$\sqrt{a^2b^6}$

Simplify, divide all of the exponents by (2),

$ab^3$

7 0

3 years ago

Which equation gives the value of the circumference, CC, of a circle with a diameter of 5656 feet?

Kaylis [27]

The standard equation for circumference
CC= 2pi(D/2)
plug in variables
CC=2pi(5656/2)
so the equation would be
CC=(2)(pi)(2828)

7 0

4 years ago