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Lina20 [59]
2 years ago
9

B

Mathematics
1 answer:
Tom [10]2 years ago
8 0

Answer:

(a) 320 cm²

(b) 75 cm³

Step-by-step explanation:

The scale factor from A to B is 8/4 = 2.

The scale factor of the areas is 2² = 4.

The scale factor of the volumes is 2³ = 8.

(a)

80 cm² * 4 = 320 cm²

(b)

600 cm / 8 = 75 cm³

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a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)
Marizza181 [45]

Answer :

A = 452.16  \: {ft}^{2}

step-by-step explanation:

From the question,

the diameter:

d = 24 \: ft

The radius :

r =  \frac{diameter}{2}=  \frac{24}{2}=12 \: ft

\pi = 3.14

Area of a circle is given as

A = \pi {r}^{2}

By substitution,

A = 3.14( {12}^{2} )

\implies \: A = 3.14 \times 144

\implies \: A = 452.16  \: {ft}^{2}

Hence the area of the home is

A = 452.16  \: {ft}^{2}

8 0
3 years ago
Help w number 8, will mark brainliest !!!
eimsori [14]

Answer:

d

Step-by-step explanation:

because both the measurement and the congruent side are opposite in sentence

3 0
3 years ago
If a is directly proportional to b/2 and a=1 when b=10, what is the value of a when b=35
iris [78.8K]
The value of a would be 3.5, as a=1 when b=10 means that a is worth 1/10 of b's value. 
5 0
3 years ago
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius
Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0
3 years ago
At a restaurant, you order a meal that costs $8. you leave a 15% tip. the sales tax is 6%. what is the total cost of the meal?
Oksi-84 [34.3K]
Easy! multiply the 6% by $8 then add it to the $8, now, multiply the 15% by the total of the cost with tax. then you all that to the total. ($9.75)
8 0
3 years ago
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