Answer:
A) 16
Step-by-step explanation:
y = kx
16 = k*8
16/8 = k
k = 2
y = 2x
32 = 2x
32/2 = x
16 = x
Finding the area would be length x width, but to find the width we'd need to use Area / Length
The area = 44
The Length = 3 and 2/3
Solve
44 ÷ 2 and 2/3 = 12
12 is your answer
Answer:
r^2 = 45÷2 x^2
Step-by-step explanation:
Details of cone:
Radius(r) = 5x cm
Height(h) = 12x cm
Slant height(l) = √(12x^2 + 5x^2)
l = 13x cm
Total surface area of a cone (T. S. A) = πrl + πr²
T. S. A = π * 5x * 13x + π5x^2
T.S.A = π65x^2 + π5x^2
T.S.A = π65x^2 + π25x^2
T.S.A = 90πx^2 - - - - - (1)
Details of sphere:
Radius (r) = r cm
Total surface area = 4πr²
Total Surface area of sphere= 4πr²cm - - - (2)
Equating (1) and (2) to calculate r
4πr² = 90πx^2
r^2 = 90πx^2 / 4π
r^2 = 90π (x^2) / 4π
r^2 = 45/2 (x^2) ;
r^2 = 45÷2 x^2
Hence the proof
Answer:
graph f(x) passes through the y-axis at 1:00 whereas g(x) passes through the origin.
Answer:
B. The ratio of the area of the scale drawing to the area of the painting is 1:16
C. The ratio of the perimeter of the scale drawing to the perimeter of the painting is 1:4
Step-by-step explanation:
The ratio of the area of similar figures/shapes = the square of the ratio of any of their side lengths
Since the scale drawing of the rectangular painting and the actual rectangular painting are similar, therefore,
The ratio of the area of the scale drawing to the painting = 1²:4²
= 1:16
Also, comparing the ratio of the perimeter of the scale drawing to the perimeter of the painting will be the same as the scale factor = 1:4
