Answer:
Step-by-step explanation:
<u>Given </u>
<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>
- tanθ = sinθ / cosθ =
θ / cosθ =
/ 4/5 =
/ 4/5 = - 3/5*5/4 =
- 3/4
Let n be the number of lbs of nuts.
Let r be the number of lbs of raisins.
9n + 3r = 60 * 5 = 300 .............(1)
n + r = 60
n = 60 - r ...............(2)
Plugging the expression for n in (2) into (1) we get:
9(60 - r) + 3r = 300
which expands to:
540 - 9r + 3r = 300 .............(3)
Simplifying and rearranging (3) we get:
-6r = -240
Therefore r, the weight of raisins = 40 lbs
and the weight of nuts is 60 - 40 = 20 lbs
Answer:
The area of the figure is 7.5 m².
Step-by-step explanation:
Given the lengths of diagonals
The area of the given figure can be computed by multiply the lengths of the diagonals and then divide by 2.
so
Area = (2.5 × 6 ) ÷ 2
= 15 ÷ 2
= 7.5 m²
Therefore, the area of the figure is 7.5 m².
Answer:
12 units
Step-by-step explanation:
Allow me to revise your question for a better understanding and I hope it will fit the original one.
The parallelogram shown below has an area of 72 units squared. The base is 6 and the other side is 13 Find the missing height.
Here is my answer:
Given:
The area: 72 units squared.
The base: 6 units
As we know that the area of the parallelogram is represented by below formula:
A = b*h where h is the height and b is the base
In this situation, we know:
72 = 6*h
<=> h = 12
So the missing height is 12 units
Step-by-step explanation:
Answer:
slope formula is rise over run / rise divided by run .
Step-by-step explanation:
y2-y1 divided by x2-x1