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xz_007 [3.2K]
2 years ago
8

tom and tammy race cross country on motor bikes to drive 450 miles in 9 hours. Tammy took 7 1/2 hours to travel the same distanc

e as tom compute the unit rate that describes toms average driving speed and tammy's average driving speed show how your decisions below
Mathematics
1 answer:
Scilla [17]2 years ago
7 0

Answer:

50 and 60 mph respectively

Step-by-step explanation:

Step one:

given data

total distance= 450 miles

time take= 9 hours

Required

Tom and Tammy's average speed

Step two:

Tom's average speed= 450/9

= 50 miles per hours

Tammy's average speed= 450/7.5

= 60 miles per hours

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How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
Contact [7]

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

  two equilateral triangles with side length 7 ft

  two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

                                        = 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

8 0
3 years ago
Read 2 more answers
What kind of angle is formed by the tangent to a circle and a radius of that circle?
Vsevolod [243]
A tangent is always perpendicular to the radius at the point of tangency.

A right angle.
6 0
3 years ago
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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

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2 years ago
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2 years ago
cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a nu
IRISSAK [1]

Answer:

\frac{1}{6}

Step-by-step explanation:

Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events.  This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.  

The probability of getting tails on a coin toss is: \frac{1}{2}

The probability of getting a number less than 3 (so 1 or 2) on a number cube is: \frac{1}{3}

Since we are combining these events, we need to multiply the fractions together to get our overall probability:

\frac{1}{2}*\frac{1}{3}=\frac{1}{6}

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3 years ago
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