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andre [41]
3 years ago
14

50 points,

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

Sum of the areas of the three circles is 91.06 units².

Step-by-step explanation:

Given:

Let the  radius of the circle with center D  = x

Let the radius  of the circle with center E  = y  

Let the radius  of the circle with center F  = z

To Find:

Sum of the areas of the three circles = ?

Solution:

So we have these equations

DE =x + y = 5............( 1 )\\EF = x + z = 6..........( 2 )\\DF =y + z = 7...........( 3 )

Subtract the second equation from the  first  and we have that

y- z=-1

Add this to equation to the third equation  and we have that

\therefore 2y= 6\\\\\therefore y= 3\\\\\therefore x = 2\\\\\therefore z = 4

Now we have Area of Circle

\textrm{Area of Circle}=\pi (Radius)^{2}

Substituting Radius we get

\textrm{Area of Circle with center D}=3.14\times 2^{2}=12.56\ units^{2}

\textrm{Area of Circle with center E}=3.14\times 3^{2}=28.26\ units^{2}

\textrm{Area of Circle with center F}=3.14\times 4^{2}=50.24\ units^{2}

∴ \textrm{Sum of the areas of the three circles}=12.56+28.26+50.24=91.06\ units^{2}

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HELP PLS!! INCLUDE EXPLAINING THANK YOU
kap26 [50]

Answer:

Lucy paid the least amount of money and she paid $770

Step-by-step explanation:

The way to find dylans is

1000-80= $920

920 x .15= $782

for lucy you do:

1000 x .15= $150

150 + 80= $230

1000-230= $770

5 0
3 years ago
Larissa argued that since log2(2) = 1 and log2(4) = 2, then it must be true that log2(3) = 1.5. Is she correct?
mestny [16]

Answer:

2^{1.5} = 2.8284. This means that Larissa is not correct.

Step-by-step explanation:

To solve logarithms, we have to consider the following:

\log_{a}(b) = c means that a^{c} = b.

So, for example:

log_{2}(2) = 1 because 2^{1} = 2.

log_{2}(4) = 2 because 2^{2} = 4.

If 2^{1.5} = 3, then Larissa is correct. However, 2^{1.5} = 2.8284. This means that Larissa is not correct.

6 0
3 years ago
Question 14(Multiple Choice Worth 1 points)
Kryger [21]

Answer: mike traveled 34 miles

3 0
2 years ago
A black-tailed jackrabbit hops about 7 feet in a single hop how far can a hop in 5 seconds
valkas [14]
The answer for this is 35 you have to multiply 5 by 7 and you will get your answer
4 0
3 years ago
Read 2 more answers
Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 /kmh faster than the other. If
Nat2105 [25]
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15

speed = distance/time

distance = speed * time

366 = (2s + 15) * 2

183 = 2s + 15

168 = 2s

s = 84

The slower bus travels at 84 km/h.

s + 15 = 84 + 15 = 99

The faster bus travels at 99 km/h.

Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
6 0
3 years ago
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