<u>Answer:
</u>
If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter
<u>Solution:
</u>
Given that a rug was 5 times than the record sheet.
Let assume the length of the record sheet = x units
Then from given information,
Length of the rug = 5x units
Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.
Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is
x meter =
= 100x cm
Conversion factor will change accordingly to the unit of given length which needs to be convert into centimeter.
Question 7: Option 1: x = 33.5°
Question 8: Option 3: x = 14.0°
Step-by-step explanation:
<u>Question 7:</u>
In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle
So,
Perpendicular = P = 32
Hypotenuse = H = 58
So,

Rounding off to nearest tenth
x = 33.5°
<u>Question 8:</u>
In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x
So,
Perpendicular = P = 5
Base = B = 20
So,

Rounding off to nearest tenth
x = 14.0°
Keywords: Right-angled triangle, trigonometric ratios
Learn more about trigonometric ratios at:
#LearnwithBrainly
Answer:
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Step-by-step explanation:
Example: If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Note: the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.
Let's set it up like this:

Multiply both sides by



We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:

The variable

can be both positive or negative.
We have found successfully our answer.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />