MATHEMATICS HIGH SCHOOL

The height of a trapezoid is 8 ft and its area is 116 ft2. One base of the trapezoid is 1 ft shorter than twice the length of the other base. Find the length of each base.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

h = 8 ft

b₁ = 2b₂-1

area = h(b₁+b₂)/2 = 116

8((2b₂-1)+b₂)/2 = 116

3b₂-1 = 29

3b₂ = 30

b₂ = 10 ft

b₁ = 2b₂-1 = 19 ft

The bases are 19 ft and 10 ft

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Solve for x. 1/36=6^(x-3)

Answers

(1)/(36)=6^(x-3)\n6^(-2)=6^(x-3)\n-2=x-3\nx=1

Which expression correctly represents the product 12(8 5) after applying the distributive property?

Answers

Answer:

Distributive Propety

Step-by-step explanation:

We are given the following information in the question:

Distributive Property:

  • It helps us to perform complicated maths problem easily.
  • The distributive property allows us to multiply a sum by multiplying each addend separately and then adding the products separately.
  • a* (b+c) = (a* b) + (a* c)
  • Example:

5* 8 =5* (2+6) = (5* 2) + (5* 6) = 10 + 30 = 40

The given problem can be solved as:

12* (8+5)\n=(12* 8) + (12* 5) \n= 96 + 60\n=156
u don't use the distributive property here order of operations says do operations in parentheses FIRST 12(8 +5) = 12(13) = 156 12(8 +5) = 12(8) +12(5) = 96 +60 = 156

The volume of a prism is 230 mm3. Which statements are true about the same prism measured in cubic centimeters?

Choose all answers that are correct.

A.
The number representing the volume would decrease.

B.
The number representing the volume would increase.

C.
The actual volume would decrease.

D.
The actual volume would increase.

E.
The actual volume would stay the same.

Answers


A).  Yes.  When you convert to a larger unit, you need less of them
to hold the same volume, so the number decreases. 
(You have less gallons of gas in the tank than cups of gas.)

B).  No, for the same reason.

C).
D).
No,no !  Both are absurd.  The volume doesn't know or care what unit you're
using to describe it, and certainly doesn't depend on the unit you use.
(Changing the number of kilometers to Grandma's house to miles
doesn't change the distance.)

E).  Yes. As I've been trying to say all along, the actual volume doesn't change.

A runner has a track lap of one minute while at a run, five minutes while at a jog, 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog and 1/10 at a walk what is the total track lap time of the runner. Write the solution as a mixed number or a fraction in lowest terms

Answers

24 seconds running
2 minutes 30 seconds jogging
42 seconds walking
3 minutes 36 seconds in that lap

Final answer:

The total track lap time of the runner is 2 2/5 minutes or 2.4 minutes.

Explanation:

The total track lap time of the runner can be calculated by summing up the individual time spent at each pace (run, jog, walk). Each pace's time is first multiplied by the fraction of the lap completed at that pace.

For the run, the calculation is 2/5 of 1 minute which is 2/5 minute.

For the jog, the calculation is 1/2 of 5 minutes which is 5/2 = 2 1/2 minutes or 2.5 minutes in decimal form.

For the walk, the calculation is 1/10 of 7 minutes which is 7/10 = 0.7 minutes.

Adding these times together gives a total of (2/5) + (5/2) + (7/10) = 12/5 = 2 2/5 minutes or 2.4 minutes in decimal form.

Learn more about Total Track Lap Time Calculation here:

brainly.com/question/32029408

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What is the next number in the sequence of 12, 13, 15, 17, 111, 113, 117, 119, 123 ?

Answers

The next number in the sequence will be 129.

rob owns 6 green t-shirts and 15 t-shirts in other colors. if rob randomly selects a t-shirt to wear, what is the probability it will be green?

Answers

The probability that Rob will randomly select a green t-shirt, given that he has 6 green and 15 of other colors, is 2/7.

Answer:

2/7

Step-by-step explanation:

P (probability) = number of successful events / number of all events

P = 6 / (6+15) = 6 / 21 = 2 / 7
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