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dem82 [27]
3 years ago
15

7. (3 pt) What is the distance between points (−2, 8) and (6, −2)? Round to the nearest tenth of a unit.

Mathematics
1 answer:
inysia [295]3 years ago
8 0
The Exact answer is 12.80625, Rounded to the tenth is 12.8
You might be interested in
If you can walk 4.9 miles in 2.9 hours, how many minutes does it take to walk 8.73 miles? Round to 1 decimal.
gavmur [86]

Step-by-step explanation:

2.9 hours = 174mins

174 mins = 4.9miles

1 miles = 1740/49 mins

8.73 miles = 310.0mins (1dp)

Topic: Rate & Proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

3 0
3 years ago
In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.<br> What is the length of a diagonal?
slega [8]

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

6 0
3 years ago
A right cylinder has a radius of 6 m and a surface area of 84 m². Find the surface area of a similar cylinder with a radius of 2
dlinn [17]

Answer:

The surface area of the second cylinder is equal to 9.33\ m^{2}

Step-by-step explanation:

we know that

If two figures are similar then

the ratio of their surfaces areas is equal to the scale factor squared

Let

z-------> the scale factor

x------> the surface area of the smaller cylinder (second cylinder)

y-------> the surface area of the original cylinder (first cylinder)

so

z^{2}=\frac{x}{y}

Step 1

Find the scale factor

z=\frac{2}{6}=\frac{1}{3}

Step 2

Find the surface area of the second cylinder

we have

z=\frac{1}{3}

y=84\ m^{2}

substitute and solve for x

(\frac{1}{3})^{2}=\frac{x}{84}

x=\frac{1}{9}*84=9.33\ m^{2}


5 0
3 years ago
Can you please help with this please
Hatshy [7]
Mammals: If the number of Mammal exhibits is 25 and there are 75 total exhibits, the Mammal exhibits are 1/3 of the total exhibits at this Zoo. The ratio for 1/3 is 1:3, which is 25:75 in most complex form. That's 33.3 as a percentage, or 33.3%.

Reptiles: If the number of Reptile exhibits is 15 and there are 75 total exhibits, the reptile exhibits are 1/5 of the total exhibits here. The ratio for 1/5 is 1:5, which is 15:75 fully written out. This as a percentage is 20%.

I'll message you the other half of the answers.
8 0
3 years ago
Carrie can inspect a case of watches in two hours. Jerry inspects a case in five hours. After inspecting a case for a half an ho
masha68 [24]
Write the hours as ratio

Carrie : Jerry
   2      :    5

Put this ratio in words, we say 'for every two hours Carrie takes to inspect a case, Jerry would need 5 hours'

Carrie has done 30 minutes on a case before taking a break. It means Carrie has 1.5 hours left on the case if she was to continue it. 

We need to work out the proportion of the time Jerry would take in comparison to 1.5 hours that Carrie would have taken.

First, we divide 2 by 1.5 ⇒ \frac{2}{1.5}= \frac{4}{3}

Then we divide 5 by 4/3 ⇒ \frac{5}{4/3} = \frac{5*3}{4} =3.75 hours

Jerry would have taken 3.75 hours to finish the rest of the case
3 0
4 years ago
Read 2 more answers
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