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ycow [4]
2 years ago
6

What is the value of a in the equation a = 2 + 3a + 10?

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
3 0

Answer:

a= -6

Step-by-step explanation:

Given

a=2+3a+10

In order to find the value of a, we have to isolate a on a single side of the equation

So,

subtracting 3a from both sides

a-3a = 2+10+3a-3a

=>a-3a=12

=> -2a = 12

Dividing both sides by -2

=> -2a/-2 = 12/-2

=> a = -6

The value of a in the given equation is -6 ..

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Solve the triangle. Round your answers to the nearest tenth.
sweet-ann [11.9K]

Answer:

  B.  m∠B = 118°, a = 17, c = 18

Step-by-step explanation:

The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.

We can verify angle B is ...

  ∠B = 180° -30° -32° = 118°

By the law of sines, ...

  a/sin(A) = b/sin(B)

Multiplying by sin(A), we get ...

  a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855

  a ≈ 17.0 . . . units . . . . . matches choice B

__

If you like, you can also verify side c:

  c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512

  c ≈ 18.0 . . . units

5 0
2 years ago
A bucket has 16 inches of water in it but there is a hole in the bottom. Use interval notation to write the domain and range of
Dennis_Churaev [7]

Answer: range:  {0in, 16in}

               domain {0min, 12.8 min}

Step-by-step explanation:

When we have a function:

f(x) = y.

The range is the set of possible values of y and the domain is the set of all the possible values of x.

In this case, our function is:

H(x) = 16 - 1.25*x

which is a linear equation, and we know that the linear equations are defined (for range and domain) in the set of all the real numbers, but this is a physical situation, so we must see at the real problem.

The bucket can not have more water than the initial amount, 16 inches, so this is the maximum in the range.

The minimum height of water that we can find in the bucket is 0 inches (so the bucket is empty) then this is the minimum of the range.

Then we can write the range as:

R: 0in ≤ y ≤ 16in. = {0in, 16in}

Now we can find the extremes of the domain by using the extremes of the range:

y = 16 = 16 - 1.25*x

       0 = -1.25*x

then we have x = 0min, this will be the minimum of the domain.

Now using the minimum of the range y = 0 we have:

y  = 0 = 16 - 1.25*x

      1.25*x = 16

            x  = 16/1.25 = 12.8 mins

This is the maximum time in the domain (because after this time, there is no water in the bucket)

Then the domain is:

D: 0min ≤ x ≤ 12.8 min

5 0
3 years ago
May I please have help from anyone thank you so much !
FrozenT [24]

Answer: Choice D

======================================================

Explanation:

The formula for the surface area of a cylinder is

SA = 2\pi*r^2 + 2\pi*r*h

We then replace r with 10 and h with 25. Keep in mind that the diameter is 20 mm, so the radius is half that at 10 mm.

So that's how we get to

SA = 2\pi*10^2 + 2\pi*10*25

8 0
2 years ago
Read 2 more answers
How many yards are in 7 miles? A. 12,320 B. 700 C. 252 D. 36,960
katrin [286]
The answer is A 
hope this helps
4 0
3 years ago
Read 2 more answers
Helpppp :,[ also stay safe and have a great day!!!!!!!!!!!!!!!!!!!!!!1111
serious [3.7K]

Answer:

35÷7=5

Step-by-step explanation:

we have 7 small boxes in an oval and there are 5 ovals

All the boxes add up to 35

4 0
3 years ago
Read 2 more answers
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