Answer:
Step-by-step explanation:
Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be successful is
Jack made 7 out of 15 shots, so the probability that Jack's next shot will be successful is
The probability that they both make their next shot successfully is
Answer:
262 square feet of the ramp will be painted red.
Step-by-step explanation:
The lateral surface is surface area of the sides of the ramp without including the top and bottom faces
The ramp shown has three surfaces
The 2 sides are triangles with length 20 and height 8.5
The back is a rectangle shape with length 12 and height 8.5
Step 1: Finding the Area of triangle
The area of the triangle =
The area of the triangle =
The area of the triangle =
The area of the triangle = 85 square feet
Area of 2 triangles = = 170
Step 2: Finding the Area of Rectangle
Area of rectangle =
so,
Area of back rectangle = = 102 square feet
Step 3: Finding the total lateral surface area
Total Lateral Surface Area
= Area of triangle + Area of Rectangle
= 272 square feet
Answer:
goes with
goes with
goes with
Step-by-step explanation:
by the addition identity for cosine.
We are given:
which if we look at the unit circle we should see
.
We are also given:
which if we look the unit circle we should see
.
Apply both of these given to:
by the addition identity for cosine.
Apply both of the givens to:
by addition identity for sine.
Now I'm going to apply what 2 things we got previously to:
by quotient identity for tangent
Multiply top and bottom by bottom's conjugate.
When you multiply conjugates you just have to multiply first and last.
That is if you have something like (a-b)(a+b) then this is equal to a^2-b^2.
There is a perfect square in 12, 4.
Divide top and bottom by 4 to reduce fraction:
Distribute: