Ashley received a $70 gift card for a coffee shop. She used it in buying some coffee that cost $7.98 per pound.After buying the
1 answer:
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Answer:
Hence, the ratios are given by 5:7, 25:49, 125:343.
Step-by-step explanation:
We are given two spheres such that:
Volume of small sphere = 250
Volume of large sphere = 686
.
Then the ratio of volume = 250 : 686 = 125 : 343.
Since, the volume of a sphere = , this gives us that the ratio of the radius = ∛
: ∛
i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.
Further, as the surface area of a sphere = , this gives us that the ratioof surface area =
:
i.e The ratio of the surface area = :
= 25 : 49
So, the ratio of the surface areas = 25 : 49.
Hence, the ratios are given by 5:7, 25:49, 125:343.
Step-by-step explanation:
y= 5
x=3
.................
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC =
=
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base =
=
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
