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Alex787 [66]
3 years ago
8

A mountain climber is at an elevation of 10,354 feet. After 4 hours, he is at an elevation of 8,090 feet. Find the climber’s ver

tical speed using this formula:
Mathematics
2 answers:
never [62]3 years ago
8 0
The answer is -566ft/hr
Tamiku [17]3 years ago
3 0

Answer:

Vertical distance of the climber is 566 feet per hour.

Step-by-step explanation:

Mountain climber is at an elevation = 10354 feet.

After 4 hours, elevation of the climber = 8090 feet

Distance covered in 4 hours = 10354 - 8090

                                               = 2264 feet

Since speed is represented by the formula

Speed = \frac{\text{Distance covered}}{\text{Time taken}}

           = \frac{2264}{4}

           = 566 feet per hour

Therefore, vertical distance of the climber is 566 feet per hour.

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The volume of this rectangular prism is 8 cubic feet. What is the surface area?
Nataliya [291]

Answer:

28

Step-by-step explanation:

V = 4 * 1 * b = 8

b = 2

SA = 2(4 + 1) * 2 + 2(4)1)

SA = 28

Answer: 28 ft²

4 0
3 years ago
Read 2 more answers
A recently negotiated union contract allows workers in a shipping department 24 minutes for rest, 10 minutes for personal time,
Alik [6]

Answer:7.125 min

Step-by-step explanation:

Given

Resting time =24 min

Personal time=10 min

Delay=14 min

Observed Time=6min/cycle

Performance Rating=95%

Allowance Time=Rest time+Personal time+delay

Allowance time=24+10+14=48 min

Allowance %=\frac{Allowance Time}{Total Time}=\frac{48}{4\times 60}=20 \%

Allowance Factor=\frac{1}{1-0.20}=\frac{5}{4}

Calculate the Normal Time

Normal time=Observed time\timespersonal Time=6\times 0.95=5.7 min

Standard time=Normal time \times Allowance Factor

Standard time =NT\times Allowance factor=5.7\times 1.25=7.125 min

3 0
3 years ago
Vertical and Adjacent Angles (3 Activities)<br> 100 POINTS+BRAINLIEST
Yakvenalex [24]

Answer:

Problem B: x = 12; m<EFG = 48

Problem C: m<G = 60; m<J = 120

Step-by-step explanation:

Problem B.

Angles EFG and IFH are vertical angles, so they are congruent.

m<EFG = m<IFH

4x = 48

x = 12

m<EFG = m<IFH = 48

Problem C.

One angle is marked a right angle, so its measure is 90 deg.

The next angle counterclockwise is marked 30 deg.

Add these two measures together, and you get 120 deg.

<J is vertical with the angle whose measure is 120 deg, so m<J = 120 deg.

Angles G and J from a linear pair, so they are supplementary, and the sum of their measures is 180 deg.

m<G = 180 - 120 = 60

7 0
3 years ago
Read 2 more answers
WILL AWARD BRAINLIEST! NUMBER 9 PLEASE! AND PLEASE SHOW ALL WORK
Andreas93 [3]
In order to find the volume of a triangular pyramid, you must use the formula (abh)/6. Therefore, I believe the answer is 12 (if [a = a] [b = h] and [c = b]).
8 0
4 years ago
What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small
liraira [26]

Answer:

  • 51/100

Step-by-step explanation:

<em>The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square</em> is equal to the ratio of the area of interest to the total area:

<em>P(inside larger square and outside smaller square)</em> = area of interest / total area

<em>P(inside larger square and outside smaller square)</em> = area inside the larger square and outside the smaller square / area of the larger square

<u>Calculations:</u>

<u />

1. <u>Area inside the larger square</u>: side² = (10 cm)² = 100 cm²

2. <u>Area inside the smaller square </u>= side² = (7cm)² = 49 cm²

3. <u>Area inside the larger square and outside the smaller square</u>

  • 100 cm² - 49 cm² = 51 cm²

4.<u> P (inside larger square and outside smaller squere)</u>

  • 51 cm² / 100 cm² = 51/100
5 0
3 years ago
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