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3 years ago

What is the solution to the equation below? Round your answer to two

1 answer:

n200080 [17]3 years ago

4 0

X=2.77 Explanation: log
(
3
x
)
=
log
(
21
)
(Take log of both sides)
x
*
(
log
(
3
)
)
=
log
(
21
)
x
=
log
(
21
)
log
(
3
)
x
=
2.77

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s344n2d4d5 [400]

The answer would be B, because you would just multiply 116.22 by 500

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3 years ago

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Find the least number by which 1470 must be divided to get a number which is the perfect square?

Nutka1998 [239]

$1470|2\\.735|5\\.147|3\\.\ 49|7\\.\ \ \ 7|7\\.\ \ 1|\\\\1470=2\times5\times3\times7^2=30\times49\\\\Solution:this\ a\ number\ equal\ 30,\ because\ 1470:30=49=7^2$

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3 years ago

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

kompoz [17]

Answer: [911,∞)

Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since, Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So, $S+178+S\geq2000$

$\\\Rightarrow\ 2S\geq2000-178\\\Rightarrow2S\geq1822\\\Rightarrow\ S\geq911$

Hence, the solution set of the inequality will be [911,∞)

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3 years ago

Based on the diagram shown, find θ to the nearest degree.

sattari [20]

Answer:

θ = 38°

Step-by-step explanation:

The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...

sin(θ)/9 = sin(20°)/5

sin(θ) = (9/5)sin(20°)

θ = arcsin(9/5·sin(20°)) ≈ 38°

___

Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.

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3 years ago

Find the distance between -6,5 and -3,1

Elenna [48]

Answer:

11.7

Step-by-step explanation:

$\sqrt{(-6-5)^2(-3-1)^2 }\\$

=11.7

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3 years ago