Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
or, 
[ by cross multiplication]
or, 
or, 
Hence,
The value of x is 144.
This question tests one's knowledge of states of matter. Kim would have to classify the water as gaseous matter in this case.
<h3>Why should Kim classify the water as gaseous?</h3>
Remember, she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.
Matter can exist in various states. They are:
- Solids;
- Liquids;
- Gaseous;
- Plasma; and
- Bose-Einstein condensate. (which is Man-made).
Learn more about states of matter at:
brainly.com/question/16982523
Answer:The number of dollars that he will receive if he exchanged 42.7 pesos is $2.3058
Step-by-step explanation:
The current exchange rate is
1 peso = 0.054 dollars.
After a trip to Mexico, Jose converted all his pesos back to dollars. The number of dollars that he will receive if he exchanged 42.7 pesos would be 42.7×0.054 = $2.3058
Answer: $13,846.02
Step-by-step explanation:
The car cost $29,750 when it was first bought.
It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.
To find the value of the car in the 6th year, you can use the compound interest formula:
= Value of car * ( 1 - rate) ^ no. of years
= 29,750 * ( 1 - 12%)⁶
= 13,816.021581824
= $13,846.02
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
