Answer:
b)
Step-by-step explanation:
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.
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Step-by-step explanation:
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Answer: Option A
Step-by-step explanation:
To get from A to A', what is done?
A is at the point (2,6) and A' is at the point (2,-1)
The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)
Now let us take a look at options A and B which both concern the y value
The y-value of A is 6 and A' is -1
To get from 6 to -1, do you
a) subtract 7
or b) = multiply by -1
Let us test it out:
a) 6 - 7 = -1 (yes, it equals -1)
b) 6 * -1 = -6 (no, it does not equal the intended value of -1)
Thus correct choice is A, we subtract 7
Answer:
5 /448
Step-by-step explanation:
Radius in drawing = 1 9/16 in
The actual length of rope = 11 2/3 feets
Converting actual length to inches :
1 feet = 12 inches
11 2/3 feets = (11 2/3) * 12 = 140 inches
To obtain the scale used, we divide the Radius in the drawing by the actual length :
1 9/16 ÷ 140
25 /16 ÷ 140
25 /16 * 1 /140
= 25 / 2240
= 5 /448
Hence, scale is 5 /448 times the actual length of drawing
Hence :
The scale used is :
1 feet = 7.4666 inches
