Answer:
I don't really understand but Hope's this helps
Step-by-step explanation:
what is the question
The measure of the value of x is 70.52 degrees.
Given
A 12-foot ladder is placed 4 feet away from a house as shown.
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.
<h3>What is cos angle?</h3>
The cos theta is defined as the ratio of the side adjacent to the angle and the hypotenuse.
The following formula is used to calculate the value of x;
![\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Crm%20Cosx%3D%5Cdfrac%7BSide%20%5C%20adjacent%20%5C%20to%20%5C%20angle%7D%7BHypotenuse%7D%5C%5C)
Where the side adjacent to angle = 4 and hypotenuse is 12.
Substitute all the values in the formula;
![\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\\\rm Cosx=\dfrac{4}{12}\\\\\rm Cosx=\dfrac{1}{3}\\\\x=Cos{-1}(\dfrac{1}{3}\\\\x= 70.52 \ degrees\\\\](https://tex.z-dn.net/?f=%5Crm%20Cosx%3D%5Cdfrac%7BSide%20%5C%20adjacent%20%5C%20to%20%5C%20angle%7D%7BHypotenuse%7D%5C%5C%5C%5C%5Crm%20Cosx%3D%5Cdfrac%7B4%7D%7B12%7D%5C%5C%5C%5C%5Crm%20Cosx%3D%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5Cx%3DCos%7B-1%7D%28%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5Cx%3D%2070.52%20%5C%20degrees%5C%5C%5C%5C)
Hence, the measure of the value of x is 70.52 degrees.
To know more about Trigonometric ratios click the link given below.
brainly.com/question/3630461
To solve we have to write 12x as 2x+10x
<span><span>x2</span>+2x+10x+20</span>
taking x and 10 as a common
x(x+2)+10(x+2)
now (x+2) is common
<span>(x+2)(x+10) answer</span>
Hi! Here are notes on unit rates!
•A rate is a ratio that compares two quantities with different measures.
•A unit rate is when the ratio has a second term (a denominator) of one.
Calculating:
To calculate a unit rate, divide the numerator (1st number of a fraction) of the ratio by the denominator(2nd number)
•Hint : when dealing with costs, the money will be a numerator.
Some practice:
Ratio: $6 for 8 erasers:
6/8 divided by 2 equals 3/4
Then when you divide the fractions divide it by doing: 3 divided by 4 (4 outside 3 inside) which equals.... 0.75! So then your final answer will be $0.75 per eraser
•don’t forget the unit!
You can ask me for more examples :)
38773 - 14056 = 24717
24717 + 14056 = 38773