Answer:
The total cost of resurface the path is
Step-by-step explanation:
step 1
Find the area of the path
The area of the path is equal to the area of the path plus the swimming pool minus the area of the swimming pool
step 2
Find the cost of resurface the path
Multiply the area of the path by $2 per square foot
Step-by-step answer:
Please refer to attached image.
1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning
that
angles QPS and QRS are supplementary =>
QPS+QRS=180 =>
QRS = 180 - 74 = 106
2. Triangle RSQ is isosceles with RS=RQ =>
angles RSQ and RQS are congruent.
3. Angle RSQ = (180 - 106) /2 = 74 / 2 = 37
4. QP is a diameter => angle QSP is a right-angle.
5. From (3) and (4) above,
angle RSP = 37+90 = 127
6. Since PQRS is cyclic, angles RQP and RSP are supplementary =>
RQP+RSP = 180 =>
x + 127 = 180 =>
x = 180 - 127 = 53 degrees.
Answer:
Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.
Step-by-step explanation:
Given, the volume of the box, V = 180 feet cube
Let the height of the box, h = x feet
Therefore, length is, l = ( 9+x ) feet
And width is, b = ( x-4) feet
so volume of the box is
V = l x b x h
Factorizing we get
(x+5)(x-6)(x+6)=0
Therefore,
x = -5, -6, 6
Now since the height of the box cannot be negative, so taking the positive value of x, we get
Height of the box, h = x = 6 feet
Length , l = ( 9+x ) = 9+6 = 15 feet
Width , b = ( x-4) = 6-4 = 2 feet
Answer:
slope =
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 3 )
y = x - 4 ← in slope- intercept form
with slope m =