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ki77a [65]
3 years ago
10

HD, JD, and KD are the perpendicular bisectors of triangle EFG. Find each length

Mathematics
1 answer:
erik [133]3 years ago
6 0
Since all three are perpendicular bisectors, the segment it bisects is equal on both sides.

Let's do segment EF.
HD bisects EF, therefore EF is split in half. All you have to do is add 16 to itself. This will be the same for the remaining two sides of that triangle. I'm hoping that was the only lengths you needed.
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What is the mass of a solid ball of iron with a radius equal to 18 cm if it is known that the density of iron is 7800 kg/m
Shtirlitz [24]

Answer:

60.6528 kg

Step-by-step explanation:

Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:

V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\pi (\frac{18}{100})^3\\\\V=\frac{4}{3}\pi (0.005832)\\\\V=0.007776

Therefore, the volume of the solid ball is 0.007776 m³

Since we know that density is mass/volume, then we can find the mass of the iron:

\rho=\frac{mass}{volume}\\ \\7800\: kg/m^3=\frac{mass}{0.007776\: m^3}\\\\mass=60.6528\:kg

Thus, the mass of the solid ball of iron is 60.6528 kg

8 0
3 years ago
An office is divided into 8 cubicles. How many of the cubicles are carpeted if only 1/4 of the cubicles are carpeted?
djyliett [7]
U have to do it like this 1/4 and 8/100
6 0
3 years ago
Find all of the points of the form (x −1) which are 4 unit from the point (3,2)
Bond [772]

Answer:

(3+2\sqrt{2},2+2\sqrt{2}),(3-2\sqrt{2},2-2\sqrt{2})

Step-by-step explanation:

Points\ are\ of\ the\ form\ (x,x-1)\\\\Distance\ of\ these\ points\ from\ (3,2)=4\\\\\sqrt{(x-3)^2+(x-3)^2}=4\\\\\sqrt{(x-3)^2+(x-1-2)^2}=4\\\\\sqrt{2(x-3)^2}=4\\\\2(x-3)^2=16\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ square\ both\ the\ sides\\\\(x-3)^2=\frac{16}{2}\\\\(x-3)^2=8\\\\(x-3)=\pm 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ \ square\ root\ both\ the\ sides\\\\x=3\pm 2\sqrt{2}\\\\When\ x=3+2\sqrt{2}\ \ \Rightarrow x-1=3+2\sqrt{2}-1=2+2\sqrt{2}\\\\When\ x=3-2\sqrt{2}\ \ \Rightarrow x-1=3-2\sqrt{2}-1=2-2\sqrt{2}

4 0
3 years ago
HELP ASAP I give brainliest!
Bingel [31]
1. 5%

2. That’s the only answer I have, sorry.
8 0
3 years ago
What is the median of the following data values? 108,102,43,100,22
PolarNik [594]

<u>Answer:</u> 100

<u>Reasoning:</u> The median is the "middle value" and to find it put the numbers in order from least to greatest.

22, 43, 100, 102, 108.

now take a number from both sides

43, 100, 102

Once again.

100

So 100 is the median.

6 0
3 years ago
Read 2 more answers
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