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Mamont248 [21]
3 years ago
5

Which of the following have two congruent parallel bases?

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0
Cylinder and prism.
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#3 is b

Step-by-step explanation:

because 100%as a decimal is 1.00

so 34% is .34

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A fair number cube is rolled what is the probability that an odd number is rolled ?
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Answer:

B)1/2

Step-by-step explanation:

<u>Step 1: Find the odd numbers in a fair cube</u>

Total numbers in cube: 1,2,3,4,5,6 = 6

Odd numbers in a cube: 1,3,5 = 3

<u>Step 2: Apply the formula of probability</u>

<em>Probability = Number of favourable outcomes/Total number of outcomes</em>

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After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an eve
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Which expression has a value of 51?
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The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. Find t
Hitman42 [59]

Answer:

Length of BE is \frac{36}{\sqrt2}units

Step-by-step explanation:

The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. we have to find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.

Now, the two parts of triangle have equal area ∴ ar(ADE)=ar(BDEC)

⇒ ar(ADE)=\frac{1}{2}ar(ABC)

⇒ \frac{ar(ADE)}{ar(ABC)}=\frac{1}{2}

In ΔABE and ΔABC,

∠A=∠A     (Common)

∠ABE=∠ABC   (Corresponding angles)

By AA similarity, ΔABE is similar to ΔABC.

Hence by area side proportionality theorem

\frac{ar(ADE)}{ar(ABC)}=(\frac{BE}{BC})^2

⇒ \frac{1}{2}=\frac{BE^2}{36^2}

⇒ BE^2=\frac{36^2}{2}

⇒ BE=\frac{36}{\sqrt2}units

Hence, length of BE is \frac{36}{\sqrt2}units

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