Answer:
52/3
Step-by-step explanation:
Use basic Thales therom,

Cross multiply,
3*(5x-8)=4*(3x+7)
3*5x - 3*8 = 4*3x + 4*7
15x - 24 = 12x +28
Add 24 to both sides
15x = 12x + 28 + 24
15x = 12x + 52
Subtract 12x from both sides
15x-12x =52
3x = 52
Divide both sides by 3
x = 52/3
The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.
<h3>
What is a Stem-and-Leap Plot?</h3>
In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.
The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:
- Minimum
- First Quartile
- Median (Second Quartile)
- Third Quartile; and
- Maximum.
It is to be noted that referenced plots are not indicated hence, the general answer.
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Answer: Yes the ladder will reach the fire
Step-by-step explanation: Please refer to the attached diagram for details.
The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.
The angle of the ladder with the top of the truck is 75 degrees. Therefore,
Sin 75 = opposite/hypotenuse
Sin 75 = 16/b
By cross multiplication we now have
b = 16/Sin 75
b = 16/0.9659
b = 16.56
If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.
The APR on the loan will be $13. The APR is found by the standard formula. It is calculated annually.
<h3>What is APR? </h3>
APR is an annualized cost indication for a loan that includes all costs.
Suppose there is an initial amount as P. The interest, or say charge on it, is applied annually as 'C' amount.
The given data in the problem is;
Loan payment = $400
Fees = $52
APR=?
The value of the APR is found as;

Hence, the APR on the loan will be $13.
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Answer:
35*
Step-by-step explanation:
IT IS THE SAME ANGLE