Answer:
sin(70°) =10/x
The distance Jeremy jumps from the ramp to the fire escape is <u>10.6</u> feet
Step-by-step explanation:
From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft
A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.
From sine definition:
sin(70°) = opposite/hypotenuse
sin(70°) = 10/x
x = 10/sin(70°)
x = 10.6 ft
Answer:
Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
Straight Angle-A straight angle is 180 degrees. This is a straight angle.
Step-by-step explanation:
180 is a straight angle and 90 is a Right angle
Answer:
That day 51 child tikets were sold
Step-by-step explanation:
To do this problem we have to make 2 equations, one that represents the number of entries and the other that represents the money
x = child tickets
y = adult tickets
x + y = 132
x * $5.20 + y * $9.00 = $994.20
First we have to solve for the x in the first equation
x + y = 132
x = 132 - y
Now we replace the x with (132 - y) in the second equation
x * $5.20 + y * $9.00 = $994.20
(132 - y) * 5.20 + y * 9.00 = 994.20
686.4 - 5.2y + 9y = 994.2
-5.2y + 9y = 994.2 - 686.4
3.8y = 307.8
y = 307.8/3.8
y = 81
We replace y with its value in the first equation
x = 132 - y
x = 132 - 81
x = 51
That day 51 child tikets were sold
Answer:
4082
Step-by-step explanation:
Given
The composite object
Required
The volume
The object is a mix of a cone and a hemisphere
Such that:
<u>Cone</u>
---- radius (r = 20/2)
<u>Hemisphere</u>
The volume of the cone is:
The volume of the hemisphere is:
So, the volume of the object is:
