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:
x = -8
<XCE = 30
Step-by-step explanation:
Remark
In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.
We have a little bit of both in this question.
Solution
3x + 174 = - 7x + 94 Alternate exterior angles. Add 7x to both sides.
3x+7x +174 = 94 Combine
10x + 174 = 94 Subtract 174 from both sides
10x = 94 - 174
10x = - 80 Divide by 10
x = - 80/10
x = - 8
===================
Check
3x + 174 = -24 + 174 = 150
-7x + 94 = -7*-8 + 94
-7x + 94 = 56 + 94 = 150
<XCE
<XCE = 180 - (3x + 174)
<XCE = 180 - (-24 + 174)
<XCE = 180 - (150)
<XCE = 30
Answer:
1,2,3,4,6,8,12,24
Step-by-step explanation:
Step-by-step explanation:
"There are several flights that have very long delays."
True. On the boxplot, we can see several outliers greater than the maximum.
"More than 25% of flights are either exactly on time or arrive early."
False. According to the 5 number summary, 25% of the flights are between -55 and 13. So less than 25% of the flights are on time or early.
"About 50% of flights are delayed between 13 and 35 minutes."
False. According to the 5 number summary, 25% of the flight times are less than 13 minutes, and 50% of the flights are less than 35 minutes. So 25% of the flights are delayed between 13 and 35 minutes, not 50%.
"About 25% of flights are delayed by more than 78 minutes."
True. According to the 5 number summary, 75% of the flights are delayed less than 78 minutes. Which means 25% of the flights are delayed more than 78 minutes.
The denominator is the one on the bottom so 9 is the denominator the top is the numerator
