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inn [45]
3 years ago
11

Matching quantities with units

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

1. Volume = length x width x height => cubic centimetres.

2. Perimeter = 2(length) + 2(width) => metres.

3. Speed = Distance /time => metres per second.

4. Area = length x width => square metres.

Step-by-step explanation:

1. Volume = length x width x height

If the length, width and height are measured in centimetre (cm) , then, the unit of the volume will be:

Volume = cm x cm xcm = cm3 i.e cubic centimetres.

2. Perimeter = 2(length) + 2(width)

If the length and width are measured in meter (m), then, the unit of the perimeter will also be in metre (m).

3. Speed = Distance /time

If the unit of distance is measured in metre (m) and the time is measured in second (s), then , the unit of the speed will be:

Speed = Distance /time = m/s i.e metres per second.

4. Area = length x width

If the length and width are measured in metres (m), then, the unit of the area will be:

Area = m x m = m2 i.e square metres

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Solving an Absolute Value Equation
Andre45 [30]

Answer:

Solution set = {-12, 12}

Step-by-step explanation:

Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

-\,|-x|=-\,12\\|-x|=12

Now we consider the two possible cases:

1) The expression inside the absolute value symbol is a positive number, then :

|-x|=-x\\

and replacing it in the equation, this becomes:

|-x|=12\\-x=12\\x=-12

which is our first answer.

2) The expression inside the absolute value symbol is a negative number, then :

|-x|=x\\

and replacing it in the equation, this becomes:

|-x|=12\\x=12

which is our second possible answer.

Then the set of solutions is: {-12, 12}

8 0
2 years ago
True or False: You can tell if two ratios form a proportion if their cross products are equal. True O False​
daser333 [38]

Answer:

Step-by-step explanation:

False

7 0
2 years ago
I need help with these three problems.... please help me????
viva [34]

12. Answer: 2130

<u>Step-by-step explanation:</u>

   T = -0.01y + 10.6

 9.2 = -0.01y + 10.6

<u>-10.6</u>    <u>            -10.6 </u>

 -1.4 = -0.01y

<u> ÷-0.01</u>  <u>÷-0.01 </u>

140  = y

"y" represents the number of years after 1990

 1990 + 140

= 2130

**************************************************************

13. Answer: -0.0036° per foot

<u>Step-by-step explanation:</u>

Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = \frac{28 - 63}{16405-6562}

      = \frac{-35}{9843}

      = \frac{-0.0036}{1}

**************************************************************

14. Answer: $0.28 per kWh

<u>Step-by-step explanation:</u>

Same reason as #13

(200, 55) and (500, 140)

rate = \frac{140-55}{500-200}

      = \frac{85}{300}

      = \frac{0.28}{1}

 

5 0
3 years ago
Robin Inc. feared that the average company loss is running beyond $34,000. It initially conducted a hypothesis test on a sample
kipiarov [429]

Answer

b. Type II error

Step-by-step explanation:

The hypothesis was formulated as  

the solution can be seen in the attached document

 

8 0
3 years ago
The volume of this triangular prism is 32 cubic inches. What is the value of d?
krek1111 [17]

Answer:

Divide the volume by the length of the prism to get the area of the face:

468/13 = 36 square yards.

The area of the face ( triangle) is 1/2 x base x height

Replace with what you have:

36 = 1/2 x 9 x g

Multiply both sides by 2 to remove the 1/2:

72 = 9 x g

Divide both sides by 9 to find g:

g = 72 /9

g = 8 yards.

3 0
2 years ago
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