Answer:
PQ = 3.58, and RQ = 10.4
Step-by-step explanation:
We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.
Hypotenuse = 11,
Opposite side is PQ
Adjacent side is RQ
x = 19
Sin x = (opposite side)/(hypotenuse)
Cos x = (adjacent side)/(hypotenuse)
For PQ, this is the side opposite to the angle, so use sin,
Sin 19 = x/11
11(Sin 19) = x
3.58 = x (rounded to the nearest hundredth)
For RQ, this is the side adjacent to the angle, so use cos,
Cos 19 = x/11
11(Cos 19) = x
10.4 = x (rounded to the nearest hundredth)
Answer:
x = 6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: 17.75 pounds
Step-by-step explanation:
After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds
Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds
Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds
The number of pounds of soil that they put in the first flower bed altogether will be:
= 6.25 + 4 + 7.5
= 17.75 pounds
