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3 years ago

Can you draw an isosceles triangle with only one 80 degree angle?

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

The triangle is 50,50 80

Step-by-step explanation:

The three angles of a triangle equal 180 degrees

We only want one 80 degree angle. That means the other two angles have to be the same, since it is an isosceles triangle. Call the other angle x

x+x+80 = 180

2x+80 =180

Subtract 80 from each side

2x+80-80=180-80

2x =100

Divide by 2

2x/2=100/2

x = 50

Each of the other angles in the triangle would have to equal 50 degrees

The triangle is 50,50 80

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

2 years ago

Read 2 more answers

Please Help!!! 10 Points! Brainliest Answer

Crank

The answer is b.) 120 degrees

8 0

2 years ago

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If m^2 − n^2 = 117, where m and n are prime numbers, find m and n.

astraxan [27]

Step-by-step explanation:

subtract

5 0

3 years ago

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What’s the volume of 1.) V=txrxrxh = 3.14 X 3 X 3 X 4 5 cm 12 cm

KonstantinChe [14]

9514 1404 393

Answer:

A) (3 cm x 4 cm ÷ 2) x 3 cm

Step-by-step explanation:

The volume is the product of the area of the triangular bases and the distance between them.

Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...

A = (1/2)bh

A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2

The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...

V = Bh

V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A

There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.

It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.

7 0

2 years ago

Taylor read 32 pages on Monday. On Tuesday, she read twice as much as she read on Monday. On Wednesday, she read 14 fewer pages

pickupchik [31]

Answer:

Taylor read 146 pages during these three days.

Step-by-step explanation:

32 pages on Monday.

On Tuesday twice, as much as Monday. So 2*32 = 64 on Tuesday.

On Wednesday, 14 less pages than Tuesday. 64 - 14 = 50. So he read 50 pages on Wednesday.

How many total pages did Taylor read during these three days?

32 + 64 + 50 = 146

Taylor read 146 pages during these three days.

8 0

2 years ago