10^(-10log3) How to solve this???

Answers

Answer 1

Answer: $a^(log_ab)=b\nand\nlog_ab^c=c\cdot log_ab\n\n\n10^(-10log3)=10^{log3^(-10)}=3^(-10)\n\n\n3^(-10)=(1)/(3^(10))=(1)/(59\ 049)$

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An 85-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot.

Answers

For this case we can model the problem as a rectangle triangle.
We have the hypotenuse and the angle.
We want to find the height.
For this, we use the following trigonometric relationship:
sine (x) = C.O / h
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Clearing C.O we have:
C.O = 85 * sine (45)
C.O = 60.1040764
Round to the nearest tenth of a foot:
C.O = 60 feet
Answer:
the top of the tree house is 60 feet high

Answer:

sin 45=x/85

85 sin 45=x

x=60.104

nearest 10th is 60.1 ft

What must the slope of a line be if it is parallel to the line 8y+12x=-6

Answers

Hello,

We know that patallel lines have the same slope, so we have to find the slope of that line and that is the answer:

The general formula of the line is: y=mx+b
where: m= slope

For example, in the line: y=2x+3, the slope is: m=2

So you have to put the equation in that form, and you'll have the answer there in front of you. I'm going to give you two options, so you can check your work:

Answer: m=-3/2 or m=-4/3

rearrange the equation into y=mx+b form so it is y=-3/2x-3/4. parallel lines have the same slope so the slope of the line that is parallel to 8y+12x=-6 is -3/2!

Which of the following correctly represents the set of numbers using interval notation?

Answers

(-∞,-2) and [2,5) will be the correct representation of the given number line.

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given a number line with arrows.

If a number is included then it is given in the middle bracket [ ] while if it is not included then it is given in the small bracket ().

Since in the given number line,

The line is coming through -∞ and at 2 not up to

So,

(-∞,-2) will be correct.

Now,

The right-hand sideline is going from 2 to 5(not included)

So,

[2,5) will be correct.

Hence "(-∞,-2) and [2,5) will be the correct representation of the given number line".