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Keith_Richards [23]
3 years ago
12

Can I please have help on number six?

Mathematics
2 answers:
HACTEHA [7]3 years ago
6 0
I really don’t know but I know you
daser333 [38]3 years ago
6 0

The answer is -60.5. Hope this helps!

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Given: triangle LNK, m of angle NLK =72 degrees. m of angle N=58 degrees. MP is perpendicular bisector of side LK and intersects
sweet-ann [11.9K]

Answer:

  • 50°

Step-by-step explanation:

<u>Given triangle LNK </u>

  • m∠NLK = 72°
  • m∠LNK = 58°
  • m∠LKN = ?

<u>Interior angles sum to 180°</u>

  • m∠NLK + m∠LNK + m∠LKN = 180°
  • 72° + 58° + m∠LKN = 180°
  • m∠LKN = 180° - 130°
  • m∠LKN = 50°
4 0
3 years ago
Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?
oksano4ka [1.4K]
We are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x. 
6 0
3 years ago
Read 2 more answers
Last year, the average monthly revenue at stamford times newspaper was 35,700. So far this year, the average has been 29% more t
monitta

Answer:

$46,053

Step-by-step explanation:

  1. Convert 29% into a decimal, which is 0.29.
  2. Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.
  3. Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.
6 0
3 years ago
Write a story that could represent this math problem.
jeyben [28]

Answer:

Macey has 4 friends and only 4 chocolate bars. She wants to give 3 slices to each friend. Each bar is 8 slices. How many slices does she have left after she gives three slices each to her friends?

4 0
2 years ago
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1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa
Firdavs [7]

Answer:

0.0239\frac{in^{3}}{min}

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

r'=\frac{1/1000in}{3min}

which yields:

r'=\frac{1}{3000}\frac{in}{min}

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

V=\pi r^{2}h

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

V=\pi r^{2}(6)

or

V=6 \pi r^{2}

We can now take the derivative to this formula so we get:

\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}

Which simplifies to:

\frac{dV}{dt}=12\pi r \frac{dr}{dt}

We can now substitute the data provided by the problem to get:

\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})

which yields:

\frac{dV}{dt}=0.0239\frac{in^{3}}{min}

3 0
3 years ago
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