The height of the ramp is 9 meter
<u>Solution:</u>
It is given that a skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point.
If we look at the sum, closely we understand that the ramp is a right angled triangle.
Which has a base length of 12 metres and a hypotenuse of 15 metres.
We need to find its height.
To do so we can use the Pythagoras theorem
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition, we get
Since we already know the lengths of the hypotenuse and base we can substitute them in the formula and solve for the height.
Let height of the ramp be denoted by ‘h’
Therefore, the height of the ramp is 9 meter
Answer:
yes
Step-by-step explanation:
The variable is in the exponent, so this is considered to be an exponential expression. (yes)
The pitcher for the Robin's throws faster. You know this because you can multiply 112.2 by 60 seconds to equal one minute. You want to get equal minutes, so multiply the answer of 112.2 x 60(6,732) by 60 once again to equal one hour, or sixty minutes. The answer you get(403,920), you divide by 5280 since there are 5280 feet in one mile. You should see that the Bluebird's pitcher throws 76.5 mph which s slower than the Robin's.
Vertical angles are equal
7x - 19 = 4x + 2
7x - 4x = 2 + 19
3x = 21
x = 21/3
x = 7
m∠ABC = 4x + 2 = 4*7 + 2 = 28 + 2 = 30°
With scientific notation remember this rule; if the exponent is positive, move the decimal point that many places to the right. If it is negative move it that many places to the left. What that will do is make the number larger or smaller to the correct value.
So for example, if you had to solve 1.02 x 10^4 you would move the decimal four places to the right. So you would end up with 10200.
As another example if you had to solve 1.02 x 10^-2 you would move the decimal two places to the left. That would give you .0120.
So now we are onto your problem. 2.606 x 10^7.
You would move the decimal seven places to the right, because the exponent is positive, that will make your number larger(which would make more sense if you were adding populations, right?).
That would give you 26,060,000 people living in Texas.
From there simply add the two populations together and you will have your answer!
