Part A)
Using the Pythagorean theorem you can find the height:
17^2 = 8^2 + x^2
289 = 64 +x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
The height is 15 cm.
Part B)
Area of the triangular side: 1/2 x 16 x 15 = 120 square cm.
There are two triangles so 120 x 2 = 240 square cm.
One side = 20 x 17 = 340
There are 2 sides so 340 x 2 = 680 square cm.
The bottom is 16 x 20 = 320 square cm.
Total cardboard needed: 240 + 680 + 320 = 1,240 square cm.
Answer:
10
Step-by-step explanation:
distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
(x_1, y_1) = (5, 1)
(x_2, y_2) = (-3, -5)
\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }
\sqrt{ [-8]^2 + [-6]^2 }
\sqrt{ 64 + 36 }
\sqrt{ 100 }
= 10
Answer:
Yes
Step-by-step explanation:
To find the volume of something you use lengthxwidthxheight. 5x2x4 is equal to 10x4 which is equal to 40. Since the minimum is 35, this will meet the requirement.
Answer:
denominator
Step-by-step explanation:
The denominator tells how many equal parts the whole is subdivided into. The numerator tells the number of those parts that are under consideration.
Answer:
The amount paid by each house is $11.25
Step-by-step explanation:
Let the amount paid by each house is $K
Number of neighbors you worked for on Friday = 4
So the amount paid by all of them = 4K
Number of neighbors you worked for on Saturday = 5,
similarly amount paid = 5K
Number of neighbors you worked for on Sunday = 3,
here amount paid = 3K
Also, in total the amount paid = $135
So, Amount paid on {Friday + Saturday +Sunday} = Total Amount
or, 5K + 4K + 3K = $135
or, 12K = 135
⇒K =135/12 = $11.25
So, the amount paid by each house is $11.25
