Answer:
Dimension of room = 18 foot x 18 foot
Step-by-step explanation:
Let the square room is of side a foot,
The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot
Total cost is $1773.
Cost for re-finishing the hardwood floors = Area x 2.25
Area = a²
Cost for re-finishing the hardwood floors = 2.25 a²
Cost of purchasing and installing the new baseboards = Perimeter x 14.5
Perimeter = 4a
Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a
Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards
1773 = 2.25 a² + 58a
2.25 a² + 58a - 1773 = 0
a = 18 or a = -43.77(not possible)
Dimension of room = 18 foot x 18 foot
Answer:
3 to 5
Step-by-step explanation:
To find the number of boys, take the total students and subtract the girls
72 -45 =27
We want the ratio of boys:girls
boys:girls
27:45
Divide each number by 9
27/9:45/9
3 : 5
Answer:
the lost 22 yards altogether
they now have -22 yards i believe
Answer:
See below.
Step-by-step explanation:

Convert the cotangent to cosine over sine:

Use the cofunction identities. The cofunction identities are:

To convert this, factor out a negative one from the cosine and sine.

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

Answer:
Step-by-step explanation:
Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126