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tatiyna
2 years ago
14

Simplify (3^-2)^4A: 3^8B: 1/3^2C: 1/3^8D: 3^2​

Mathematics
1 answer:
Andreyy892 years ago
6 0
Answer: c

explanation: (3^-2)^4 equals 1.5x10^-4
find which choice equals the same as the given equation.
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HELP PLEASE HELP!!!!!!!
Ket [755]
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3 0
3 years ago
Tan(2 sin^-1 0.4)<br> Find the Exact value
stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0
3 years ago
One leg of a right triangle has a length of 7 m. The other side have lengths that are consecutive integers. Find these lengths
Darina [25.2K]

Answer:

6 and 5

Step-by-step explanation:

Consecutive means that it is continuous, and since the triangle largest side (7) has to be less than the additive of two other sides. Therefore 6 and 5. Hope this helps.

4 0
2 years ago
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For the 2015 Intel Science Fair, two brothers in high school recruited 47 of their classmates to take part in a two-stage study.
kvv77 [185]

Answer:

a) 47

b) 3

c)  1

d) 2

e) 47

f) 3

Step-by-step explanation:

read the textbook

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3 years ago
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mars1129 [50]

To graph the new shape, you must move each vertex down 3 units. This causes Q to become (1, 0), L to become (5, -2), and Q to become (1, 0). These values can be found by simply counting down by three for each point.

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