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sveta [45]
3 years ago
10

Select the equivalent expression. (a^-3/b^2)^4=? Choose 1 answer: A. b^2/a^7 B. (b/a)^20 C. 1/a^12*b^8

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

           1

C =   --------

        a¹² b⁸

Step-by-step explanation:

(a⁻³/b²)⁴

( (1/a³) / (b²))⁴

( 1/a³  ÷ b² )⁴

therefore,

      1

=   ------

   a¹² b⁸

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If master chief has three and a half cookies, and the arbiter has five and three quarters of a cookie, how many cookies do they
nikklg [1K]

Answer:

9\dfrac{1}{4}

4\dfrac{5}{8}

Step-by-step explanation:

The master chief has three and a half cookies i.e. 3\dfrac{1}{2} = \dfrac{7}{2} numbers of cookies.

Again the arbiter has five and three quarters of a cookie i.e. 5\dfrac{3}{4} = \dfrac{23}{4} number of cookies.

Therefore, in total there are (\dfrac{7}{2} +\dfrac{23}{4} ) = \dfrac{37}{4} = 9\dfrac{1}{4} numbers of cookies.

If we divide the total number of cookies in to equal parts and distribute to then then each of them will get \dfrac{37}{4 \times 2} = \dfrac{37}{8} = 4\dfrac{5}{8} numbers of cookies. (Answer)  

3 0
3 years ago
a spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 27 cm to 17 cm
Phoenix [80]

Answer:

3.30=90

17/1=17

90+17=107

Step-by-step explanation:

7 0
2 years ago
Please help with this question
barxatty [35]

slope=<u>y</u><u>2</u><u> </u><u>-</u><u> </u><u>y</u><u>1</u>

x2 - x1

= <u>-</u><u>1</u><u> </u><u>-</u><u> </u><u>-</u><u>3</u>

-7 - -9

= <u>-</u><u>2</u>

-2

= 1

I think the answer is D

3 0
3 years ago
Twenty-one fish are swimming in an aquarium. Eleven are removed, leaving 10 fish. Which number is the additive inverse of the nu
agasfer [191]

The additive inverse: The usage of addition with a negative number.

The original equation is 21 - 11 = 10

To use the additive inverse, change it so that there is an addition sign.

21 + (-11) = 10

B) -11 is your answer

hope this helps

7 0
3 years ago
Read 2 more answers
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
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