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3 years ago

Describe the cross section that will result if the pyramid is sliced horizontally (parallel to the base).

Mathematics

1 answer:

Brut [27]3 years ago

6 0

Answer:

Pentagon

Step-by-step explanation:

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Find all solutions of each equation on the interval 0 ≤ x<2π.

Aleksandr [31]

Answer:

$x = 0 \: or \:x = \pi$

Step-by-step explanation:

The given equation is

$\tan^{2} (x) \sec^{2} (x) + \sec^{2} (x) - \tan^{2} (x) = 2$

Subtract 2 from both sides and factor by grouping to get:

$\sec^{2} (x)(\tan^{2} (x) + 2) -1( \tan^{2} (x) + 2)$

$(\tan^{2} (x) + 2) (\sec^{2} (x) - 1) = 0$

By the zero product principle:

$(\tan^{2} (x) + 2) = 0 \: or \: (\sec^{2} (x) - 1) = 0$

$(\tan^{2} (x) = - 2 \: or \: \sec^{2} (x) = 1$

When

$\sec^{2} (x) = 1 \implies\cos^{2} (x) = 1$

$\implies \: \cos(x) = \pm1$

This implies

$x = 0 \: or \:x = \pi$

When

${ \tan }^{2} (x) = - 2$

We have

$\tan(x) = \pm \sqrt{ - 2}$

hence x is not defined for all real numbers

6 0

3 years ago

Read 2 more answers

A coin weighs about 14^−2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.

navik [9.2K]

1000 of the coins weigh about 5 pounds

8 0

4 years ago

Read 2 more answers

Multiply to find the product. 64.7 x 28 = ______

Crazy boy [7]

Answer:

1811.6

Step-by-step explanation:

647x28

18116

move once to the left bc of the point in 64.7

1811.6

7 0

2 years ago

Read 2 more answers

Mr. Jones purchased two sodas.

kondaur [170]

Answer:

the prices were $0.05 and $1.05

Step-by-step explanation:

Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...

a + b = 1.10 . . . . the total cost of the sodas was $1.10

a - b = 1.00 . . . . one soda costs $1.00 more than the other one

Adding these two equations, we get ...

2a = 2.10

a = 1.05 . . . . . divide by 2

1.05 -b = 1.00 . . . . . substitute for a in the second equation

1.05 -1.00 = b = 0.05 . . . add b-1 to both sides

The prices of the two sodas were $0.05 and $1.05.

_____

Additional comment

This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, the larger value is half the sum of the sum and difference: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find the smaller value is half the difference of the sum and difference: b = (1.05 -1.00)/2 = 0.05.

This result is the general solution to sum and difference problems.

5 0

3 years ago

What is 32.8 divided by 20 15/8 is 32.8 divided by 20 15/8 ?

aivan3 [116]

1.49942857 is the answer to ur question

6 0

3 years ago