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3 years ago

In triangle ABC shown below, side AB is 8 and side AC is 6:

Mathematics

2 answers:

lbvjy [14]3 years ago

8 0

Segment AD is 4, and segment AE is 3. This is because AB is 8, and half of 8 is 4, and then AC is 6, and half of 6 is 3.

Gekata [30.6K]3 years ago

4 0

Answer:

Segment AD is 4, and segment AE is 3.

Step-by-step explanation:

Given,

In triangle ABC,

AB = 8 unit,

AC = 6 unit,

We have to prove :

[tex]DE=\frac{BC}{2}{/tex]

By the Midpoint Theorem, the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

Thus, for proving the required statement we need to prove D and E are midpoints of AB and AC respectively,

That is, AD = DB and AE = EC

∵ AB = 8 ⇒ AD + DB = 8 ⇒ AD + AD = 8 ⇒ 2AD = 8 ⇒ AD = 4

Similarly,

2AE = 6 ⇒ AE = 3

Hence, LAST option is correct.

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Solve | 2x + 6 | = x

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Answer:

1) soln,

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2 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth

Vesna [10]

Answer:

V = 1206.3 $ft^{3}$

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = $\pi$ $r^{2}$ x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = $\pi$ x $8^{2}$ x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = $\frac{\pi r^{2}h }{3}$ . This is the area of the circular part of the cone ( $\pi r^{2}$ ), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = $\frac{\pi 8^{2} 6 }{3}$ (On the top it's $\pi$ x $8^{2}$ x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 $ft^{3}$

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3 years ago

How can we use a distributive property by a CALCULATOR

nika2105 [10]

You can't use distributive property by a calculator

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3 years ago

Read 2 more answers

Mia has a rectangle shape brownie. She cuts the brownie into 3 equal pieces.Which sentence is true ?

MAXImum [283]

Answer:

The whole brownie is 3/3

Step-by-step explanation:

Hello!

This is a classic fractions exercise.

The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.

If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1

-Options-

The whole brownie is 1/3.

The whole brownie is 3/3. 

The whole brownie is 2/3.

The whole brownie is 3/2.

I hope this helps!

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3 years ago

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