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3 years ago

In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° and the 40° angle.

Mathematics

2 answers:

Gre4nikov [31]3 years ago

8 0

Answer:

the answer is 60° I think

777dan777 [17]3 years ago

6 0

ANSWER:

As angle x are in straight line with some degrees.

So, ∠x + 40° + 50° = 180°

∠x + 90° = 180°

∠x = 90°.

And ∠x and ∠y are vertically opposite angles, so they must be equal.

Therefore, ∠x = ∠y = 90°.

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3 years ago

Verify the identity

Thepotemich [5.8K]

<u>Given</u>:

Given that we need to prove the identity $\sin x+\sin x \tan ^{2} x=\tan x \sec x$

<u>Proof</u>:

Step 1: Factor out the common term sin x, we get;

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Step 2: Using the identity $1+tan^2 x=sec^2x$

$\sin x \sec ^{2} x=tan \ x \ sec \ x$

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3 years ago

It is proposed to build a raft of pine logs for carrying a cargo on a river. The cargo will weigh 500 kg, and it must be kept en

siniylev [52]

Answer:

They will need 200kg of pine logs.

Gauge pressure in the tank = 24045.29 Pa

Absolute pressure= 125370.29Pa

Step-by-step explanation:

Full question:sp.gr=0.8.The fluid in the nanometer is ethyl iodide with sp.gr =1.93. The manometric fluid height is 50 inches. What is the gauge pressure and absolute pressure in the tank?

Converting 50inches to metres. Multiply by 0.0254

50×0.0254=1.27m

Gauge pressure in tank is given by:

P = pgh

Where p= density,g= acceleration due to gravity, h= height

P= 1.93× 1000× 9.81× 1.27= 24045.29Pa

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4 years ago

What is the volume of a rectangular prism with a height of 22 1/2 centimeters and a base area of 562 1/2 square centimeters?

umka2103 [35]

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7 0

3 years ago

Read 2 more answers

Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

$T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326$

What is the probability that they are both queens?

$P = \frac{D}{T} = \frac{6}{1326} = 0.0045$

0.45% probability that they are both queens.

4 0

3 years ago