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sergij07 [2.7K]
2 years ago
10

Perpendicular lines intersect to form right angles. What is true about the statement? Check all that apply. The hypothesis is “i

f perpendicular lines.” The hypothesis is “if lines are perpendicular.” The conclusion is “then right angles.” This is a compound statement. This is a conditional statement.
Mathematics
1 answer:
love history [14]2 years ago
6 0

Answer:

1. The Hypothesis is "If lines are perpendicular" 2. This Is a Compound Statement 3. This is a Conditional Statement

Step-by-step explanation:

I just did this and It showed me the answers

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On average, water flows over a particular water fall at a rate of 2.05 x 105 cubic feet per second. One cubic foot of water weig
iren [92.7K]

Answer:

5.024 × 10^8 tons /day

Step-by-step explanation:

This question has to deal with conversion

We are told in the question that:

On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.

Water flow rate = 2.05 × 10^5 ft³/s

From the question,

One cubic foot of water weighs 62.4 lb.

1 ft³ = 62.4 lb

1 ton = 2200 lb

We are to calculate the flow rate in tons per day

Hence,

1 ft³ = 62.4 lb

2.05 × 10^5 ft³ =

Cross Multiply

2.05 × 10^5 × 62.4

= 12792000lb

Hence the water flow rate = 12792000lb/s

From the question,

2200 lb = 1 ton

12792000 Ib =

Cross Multiply

12792000lb × 1 ton/2200 lb

= 5814.5454545 tons

Hence the water flow rate = 5814.5454545 tons/second

We want the flow rate to be in tons/day

1 ton / second = 86400 tons / day

5814.5454545 tons/second = x tons/ day

Cross Multiply

x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second

= 502376727.27 tons/day

= 5.0237672727 × 10^8 tons/day

Approximately ≈ 5.024 × 10^8 tons /day

Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day

7 0
2 years ago
Follow this link to view Jamie’s work. Critique Jamie’s work by explaining the reasonableness of the scenario and the accuracy o
Stella [2.4K]

Answer:

See  below

Step-by-step explanation:

This graph could describe a relay race.

Jamie writes a scenario that can be modeled by the piecewise function on the graph.

The graph has time, in minutes on the x-axis and the distance, in miles on the y-axis.

The first part of the graph is the line starting from the origin through to the point (12, 1) then the second part starts from the point (12, 1) and ends on the point (20, 2).

1. A runner begins the race and runs at a steady pace for 1 minute.

  • This is incorrect as describes the wrong axis.

It should say: a runner begins a race and runs at a steady pace for 12 minutes, completing 1 mile distance.

<u>The equation for this part:</u>

  • y = mx + b
  • b = 0 as it starts at origin.
  • m = 1/12
  • y = 1/12x
  • x = [0, 12], y = [0, 1]

2. His partner then takes over and runs at a steady, but faster, pace for another 1 minute.

  • Again, as above, wrong axis is described.

It should say: his partner then takes over and runs at a steady, but faster, pace for another 8 minutes, completing the last 1 mile of the race.

<u>The equation for this part:</u>

  • b =1, as a starting point
  • m = (2-1)/(20-12) = 1/8
  • y = 1/8x + 1
  • x = (12, 20], y = (1, 2]

7 0
2 years ago
A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses
dangina [55]

Answer:

8% or 0.08

Step-by-step explanation:

Probability of missing the first pass = 40% = 0.40

Probability of missing the second pass = 20% = 0.20

We have to find the probability that he misses both the passes. Since the two passes are independent of each other, the probability that he misses two passes will be:

Probability of missing 1st pass x Probability of missing 2nd pass

i.e.

Probability of missing two passes in a row = 0.40 x 0.20 = 0.08 = 8%

Thus, there is 8% probability that he misses two passes in a row.

5 0
2 years ago
Read 2 more answers
7. Certain car manufacturers install a gauge that tells the driver how many miles they can drive
nalin [4]

Answer:

A) Slope - 1.1889. The Predicted distance the drivers were able to drive increases by 1.1889

Step-by-step explanation:

5 0
2 years ago
Carla packed this box with 1 centimeter cubes what is the volume of the box
shusha [124]

Answer: 60\ cm^3

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

V=lwh

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

 l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

V=(4\ cm)(3\ cm)(5\ cm)

Finally, evaluating, you get that the volume of the box is:

V=60\ cm^3

4 0
2 years ago
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