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max2010maxim [7]
4 years ago
10

A person is purchasing a new golf club bag. The compartment for the golf balls is approximately the shape of a rectangular prism

with the dimensions of 8 inches by 11 inches by 5 inches. Assuming golf balls are spherical with a 1.68 inch diameter, how many golf balls should fit in the compartment bag?
Mathematics
1 answer:
Lerok [7]4 years ago
8 0

Answer:

The answer to your question is: ≈ 178 balls

Step-by-step explanation:

Data

rectangular prism = 8 in x 11 in x 5 in

golf balls = 1.68 in diameter

Formula

Volume rectangular prism = l x w x h = 8 x 11 x 5 = 440 in³

Volume of ball = (4/3) πr³ = (4/3) (3.1416) (0.84)³ = 2.48 in³

# of balls inside the compartment = volume rectangular prism / volume ball

# of balls = 440 / 2.48

               = 177.4 ≈ 178 balls

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You are trying to heat up a cup of water with a butane lighter.
algol13

Answer:

Step-by-step explanation:

Remark

The formula for this is

Heat = m * c * Δt

Givens

Heat = unknown

m = 200 grams

c = 4.184 Joules / grams oC

Δt = the change in temperature = 35.7 - 22.3 = 13.4

Solution

Heat = 200 * 4.184 * 13.4

Heat = 11213 Joules

Heat = 11.2 Kj

It's hard to get the correct number of sig digs because the 200 is not qualified in any way.

Part 2.

This can really puzzle you until you know that heat given up = the heat taken on. The heat taken on was 11.2 Kj. The Butane lighter must have given that heat on.

Heat of Combustion = Heat Given Up / Number grams burned.

Heat of Combustion = 11.2 Kj / 0.23 grams

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8 0
3 years ago
(4,-1). Parallel to y=-4x+2
allochka39001 [22]

Answer: x=1/2

Step-by-step explanation:

y= - 4x + 2

X=1/2

6 0
3 years ago
I can’t figure this out could u help me
djyliett [7]
I think it’s B and C. They are the same distance away from 0 but, they are on different sides. Therefore, they are opposites.
8 0
3 years ago
I need help with these two trigonometry problems.
Sloan [31]

Answer:

B \approx 32.1\°; A \approx 39.0\°

Step-by-step explanation:

Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant

\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c

In our case, for the left triangle,

\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°

Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get

sin\ B \approx 0.53 \rightarrow B \approx 32.1\°

Same difference with the right triangle. With the same calculations

sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°

5 0
2 years ago
What is the multiplicative inverse of 1/2
GuDViN [60]

   Multiplicative inverse of 1/2 = 2/1 = 2


Thus, the multiplicative inverse of 1/2 is 2.

4 0
3 years ago
Read 2 more answers
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