Answer: D) 10 jerseys
Step-by-step explanation:
Let j represent the number of jerseys and C for total cost
Local company eqn: C = 5.25j + 45
Online company eqn: C = 7.75j + 20
Set both sides equal to solve:
5.25j + 45 = 7.75j + 20
5.25j - 7.75j = 20 -45
- 2.5j = -25
j = 10
Therefore, the cost is the same for both companies when 10 jerseys are sold
Answer:
D. 22,417 feet
Step-by-step explanation:
Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.
Hypotenuse = x and Opposite = 15,000feet
According to SOH;
Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet
Here's a tip Subtracting a fraction is the same as multiplying it's reciprocal so for 3/4 - 3/8 you can do 3/4 x 8/3. Multiplying its reciprocal mean turn the 2nd fraction around
Answer:
Area = 142.5 square inches
Step-by-step explanation:
So your shape is kind of a little house. The bottom part is a rectangle 9 × 9.5. The area of the rectangle is
Area = length×width
= 9 × 9.5
= 85.5
The "roof" of the little house is a triangle. The area of a triangle is 1/2×base×height
Now, the base of the "roof" is the same as the floor of the house, 9.5 inches.
The height of the whole thing is 21 inches. If we take away the rectangle's wall-height, we'll get the height of the "roof".
Roof height= 21 - 9
= 12 inches
Area_roof
=1/2 × base × height
=1/2 × 9.5 × 12
= 57 square inches
Total area is bottom plus roof (the rectangle and the triangle)
Total Area
= 85.5 + 57
= 142.5 sq in
