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Lubov Fominskaja [6]
3 years ago
12

Find the area of the following triangle. Round your answers to the nearest tenth. a = 44 in, b = 66 in, c = 88 in

Mathematics
1 answer:
swat323 years ago
6 0
P=44+66+88/2=198/2=99
With Heron formula:
S=root 99*(99-44)(99-66)(99-88)=root 99*55*33*11=root 1976535= 1405.8929.....=1405.9
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The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.
notka56 [123]

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

Height of bottom of is then

Height = h - b

Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

8 0
3 years ago
Use the figure below to find the value of y and each angle shown.
igomit [66]

5y - 16 + 3y + 20 = 180 degrees

Combine like terms on the left side

8y + 4 = 180

Subtract 4 from both sides.

8y = 176

Divide both sides by 8

y = 22

Plug 22 into y for each angle.

3y + 20 = 3(22) + 20 = 66 + 20 = 86 degrees

5y - 16 = 5(22) - 16 = 110 - 16 = 94

The angle opposite 5y - 16 also equals 94 because they are vertical angles.

The angle opposite of 3y + 20 also equals 86 because they are vertical angles

6 0
3 years ago
Can someone please help and please show work
pychu [463]

Answer:


Step-by-step explanation:

4 and a half

8 0
3 years ago
Find the slope of the line that contains the points named.
8090 [49]

Answer:

M= 0

Step-by-step explanation:

the ys are the same

6 0
2 years ago
From a pack of 9 cards numbered 1-9, three cards are drawn at random and laid on a table from left to right.
Andreas93 [3]
Answer: 1/6
Explanation: Since we need to draw three cards from a pack of 9 and the digits require an order, then our sample space becomes: 9P3.
Now, we don't care about picking an order when picking three cards to analyse, as there is only 1 way in arranging the three cards in descending order.

Thus, we get:

\frac{^{9}C_3}{^{9}P_3} = \frac{1}{6}
4 0
3 years ago
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