Pythagorean theorem = a^2 + b^2 = c^2
2^2 + b^2 = 4^2
4 + b^2 = 16
-4 -4
b^2 = 12
Square root
b = 3.5 rounded to the tenths place
The leg is 3.5 units
Hope this helps!
Answer:
Solution given:
length[a]=3cm
base(b)=7cm
hypotenuse [c]=?
we have
by using Pythagoras law
a²+b²=c²
3²+7²=c²
c=√58=7.61m
<u>the length of the hypotenuse is 7.61m.</u>
Answer:
26.14 ft/s
Step-by-step explanation:
Assume that the acceleration was constant throughout the whole fall and equal to the acceleration of gravity which is roughly 32.17 ft/s.
If the distance travelled was 26 ft, the time it took him to land was:
At the apex, just before the fall, the skateboarder velocity is zero. The velocity of an object, initially at rest and accelerating at a constant rate, is:
The skateboarder's velocity at the moment he touched down onto the ramp was 26.14 ft/s.
Answer:
Adult = $7
Kids = $4
Step-by-step explanation:
Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.
Let x = Price of kids tickets
Let y = Price of adults tickets
For this week the expression is:
3x + 9y = 75
For the last week the expression is:
8x + 5y = 67
Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.
3x + 9y = 75
8x + 5y = 67
Now we need to remove either the x or y by multiplying the whole expressions by a certain number.
8(3x + 9y = 75)
24x + 72y = 600
3(8x + 5y = 67)
24x + 15y = 201
Now that we have our equations and we can eliminate the x by subtracting both expressions.
24x + 72y = 600
<u>- 24x + 15y = 201</u>
57y = 399
To find the value of y, we divide both sides by 57.
y = 7
Now that we have the value for y, we simply substitute the value in any of our expressions.
3x + 9y = 75
3x + 9(7) = 75
3x + 63 = 75
3x = 75 - 63
3x = 12
Now we divide both sides by 3 to find the value of x.
x = 4
So the ticket prices are:
Adult = $7
Kids = $4