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3 years ago

Determine which prostulate or theorem can be used to prove

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

S.A.S

EXPLANATION:

SQ=SQ(Common side)

<Q=<Q. (Common angle)

PQ=RQ.

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What is the area of the triangle?

alexandr402 [8]

Answer:

15/2

Step-by-step explanation:

Hello,

the area of a triangle is b*h/2

we can set BC as the base because AC is harder to calculate.

Then we draw an imaginary height.

There's no way to really explain, but the height would be 5 here, since 3 - -2 = 5

The base is 3

3*5/2 = 15/2

Thanks,

lacampanella

3 0

3 years ago

A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d

Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.

Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

$V=\dfrac{1}{3}b\times h,$

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

$\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.$

Therefore, the volume of the pyramid is

$V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.$

Thus, the required volume is $V=324~\textup{cm}^3.$ This makes (C) as the correct option.

5 0

4 years ago

Evaluate 4a-3b when a=5 and b=-2

den301095 [7]

4a - 3b

4(5) - 3(- 2)
20 + 6
26

26 is your answer.

6 0

3 years ago

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The figure shows a net of a cube. Which expression can be used to find the total surface area of the cube?

sergij07 [2.7K]

Answer:

Option C: 6(7 * 7)

Step-by-step explanation:

There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.

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1 year ago

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What is distributive property

fomenos

The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses. Take a look at the problem below. 2(3 + 6)

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3 years ago

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