Answer:
At least 328 points
Step-by-step explanation:
and all of Sawyer's points up and subtract that number (1473) from Roger's total score.
Answer:
The radius of the circle is half its diameter. It's the length from the center point straight out to the edge.
Answer:
(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Step-by-step explanation:
The lateral faces of the building are the 4 sides of the building consisting:
2 rectangles of 120 ft by 80 ft
Area of the two rectangular faces = (2)(120)(80)
And
2 rectangles of 120 ft by 50 ft
Area of the two rectangular faces = (2)(120)(50)
✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)
Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.
Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building
Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)
✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Answer:
m<A = 69°
m<C = 69°
Step-by-step explanation:
From the question given above, the following data were obtained:
AB = AC
m<B = 42°
m<A =?
m<C =?
Since:
AB = AC
Therefore,
m<A = m<C
A + B + C = 180 (sum of angles in a triangle)
C + 42 + C = 180
Collect like terms
C + C = 180 – 42
2C = 138
Divide both side by 2
C = 138 / 2
C = 69°
Finally, we shall determine m<A. This can be obtained as follow:
m<A = m<C
m<C = 69°
Therefore,
m<A = 69°
Answer:
P = 16x + 8
Step-by-step explanation:
Perimeter of a rectangle
= 2(L + W)
Given
L = 5x + 4 and
W = 3x
Therefore
Perimeter = 2(5x + 4 + 3x)
Rearrange the expression
P = 2(5x + 3x + 4)
P = 2(8x + 4)
Now expand the bracket
P = 2 x 8x + 2 x 4
P = 16x + 8
