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tekilochka [14]
3 years ago
9

The outside temperature decreases by 7F in 3 1 2hours. Part A How would you represent the temperature change as a unit rate? Exp

ress your answer as an integer. Part B If the temperature continues to decrease at this rate, what will be the change in temperature after 5 hours?, i got park a just need part b part a is 7°/3.5 hrs = 2°/hr
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

A)  2f / hour

B) 10 f

Step-by-step explanation:

outside temperature decreases by ; 7 F in 3 1/2 hours

a ) represent temperature change as a unit rate

To do this you will need to represent the temperature change per hour

7 f / 3.5 hours

= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour

b) Temperature change after 5 hours

Δ temperature  in 5 hours = temperature change per hour * 5

                             = 2 F * 5 =  10 F

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Approximately how many times greater is 1.2×103 than 4×10−1 ?
Galina-37 [17]
3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.

1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2 
*
10
^
3
=
÷
4
*
10
^
(-1) 
= The calculator should read 3000
That's one way to do it. Another way is just to do it all by hand. The numbers are easy enough
1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.

1200 * 10^1 
12000

Now you are still left with 4 in the denominator.
12000/4 = 3000. 

The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.
4 0
3 years ago
Irene can snap 48 times in 8 minutes at a constant rate. How many
vitfil [10]
6 snaps a minute if you multiply 9 x 6 is 54
8 0
3 years ago
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Complete the following proof.<br> Given: m ∠XOY = m ∠WOV<br> m YZ = m ZW<br> Prove: m XZ = m ZV
horsena [70]

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

     { If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW  ------- (ii)    {given}

Add (i) and (ii)

XY + YZ = WV + ZW

XZ = ZV    

Hence proved.

4 0
3 years ago
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A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Ainat [17]

Answer:

height of the cone  = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

V = \frac{1}{3} \pi r^2h             ....[1]

where,

r is the radius and h is the height of the cone.

As per the statement:

A cone with radius 5 units and ts volume is 105 cubic units

⇒r = 5 units and V = 105 cubic units

Substitute these given values and use \pi = 3.14 in [1] we have;

105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h

Multiply both sides by 3 we have;

⇒315 = 78.5 \cdot h

Divide both sides by 78.5 we have;

4.01273885 = h

or

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

6 0
4 years ago
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a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made
Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

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i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of  box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0
3 years ago
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