Answer:
Step-by-step explanation:
So, to begin the altitude of a triangle is the line segment that starts at the top vertex and ends at the base of the triangle forming a right angle. If we want to find the volume of the of the prism the formula is Ab*h. This is the area of the base, times the height of the prism. This is true because a simple expination of volume is a box filled with stuff. To count how much stuff we have in the box the formula uses layers. Volume is just like a lot of 2 dimential areas stacked on top of each other. So taking the area of the flat base and puting it on top of it self 10 time will give you the same prism thats in the problem. Now we just have to apply the consept. Since the base is a triangle and we need to find the area. The formula is b*h*1/2. Base time height times 1/2. The reason for this is also simlar to area. A triangle is half of a square, so to find the area of a square the formula is L*W. Since a triangle is half of a square you just multipuly it by 1/2. When solved you will get 4*3.5*1/2=7, the area of the base is 7 cm^2. Now appling the topic above we stack the base 10 times, so 7*10=70. In conculstion the volume of the prism would be 70 cm^2.
Y=Mx+B -> slope intercept form
The answer would be -3y=-5x-9
Divide the -3 on both sides and you get
y=5/3x+3
Angle B is HALF of the sum of the two angles it intercepts.
Since it intercepts 48 and 142 degrees, simply add them add divide by 2:
B = (48 + 142)/2
B = 190/2
B = 95
The measure of angle B is 95 degrees.
-T.B.
Its a square pool and its perimeter is 100 yards.
We know that a square has 4 sides with the same length so we can give a square perimeter by the sum of their 4 sides
Lets call the side "l" and since we have 4 of them we need to sum it 4 times
l + l + l + l = perimeter
4l = perimeter
We know the perimeter
4l = 100
Divide both sides by 4
4l/4 = 100/4
l = 25
So the side length is equal to 25 yards
Answer:
875 ft²
Step-by-step explanation:
Finding area of similar rectangles:
Scale factor = EF : AB
= 25 : 5
= 5 : 1
Area or rectangle EFGH = 875 ft²
