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elena55 [62]
3 years ago
14

Find the measure of angle K. ​

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

m∠K = 97°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360

127 + 5x + 3 + 10x + 7 + 88 = 360

15x + 225 = 360

15x = 135

x = 9

m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°

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The volume of a cube is 8000 cubic feet, what is the area of one of its faces?
eimsori [14]

Since a cube is l x w x h, find the length of one side first:

∛8,000 = 20

The length of one side is 20 feet. This can represented as "s".

To find the area of one of the faces, use s²:

20²   or   20 x 20 = 400

The area of one face is 400 ft²!

4 0
3 years ago
What number is less than -2 4/5 and greater than -31/5
IgorC [24]

Using a calculator, you should find that

-2 & 4/5 = -(2 + 4/5) = -(2+0.8) = -2.8

-31/5 = -6.2

So the unknown number is between -6.2 and -2.8

<h3>Possible whole number answers could be: -6, -5, -4, -3, or -2</h3>

If your teacher allows decimal answers, then there are infinitely many possible ways to answer.

8 0
3 years ago
Please if ur good at pre calc stop to help with the first question please
vova2212 [387]

Answer:

Step-by-step explanation:

The first thing you ought to do is find out what you are trying to get. Desmos is an ideal program to do that if you don't have a graphing calculator. Just search for Desmos. It is pretty obvious once you get there.  I've enclosed the graph to show you what it looks like.

Notice what happens around 5.  The graph splits because effectively, you are dividing by 0 when you put 5 into the denominator. The question arises why doesn't the same thing happen at 0. It should: There is a discontinuity but it is very tiny. So the domain numbers that you should graph are

-1   0™  1   2   3   4   4.5    4.8   5.3    5.4  6 7

™I wouldn't make 0 a part of this domain.  But you can indicate with a dot where the graph goes.

I haven't filled in the range numbers. That's your job. All you have to do is fill in the table with points. Or you can put them on the graph that I have enclosed just to see where they points belong.

A graph is not to convey accuracy. It is to show the shape of function in question.

5 0
3 years ago
12+8n find the 50th term
nalin [4]

Answer:

412

Step-by-step explanation:

Substitute 50 for <em>n</em>:

12+8(50)

Simplify:

12+8(50) = 12+400 = 412

6 0
4 years ago
The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ou
GalinKa [24]

Answer:

The right solution is:

(a) 0.8849

(b) 12.28%

(c) 4.9935

(d) 28004

Step-by-step explanation:

Given:

Mean,

= 4.5

Standard deviation,

= 0.3

(a)

P(x > 4.14)

As we know,

⇒ z = \frac{4.14-4.5}{0.3}

      =-1.20

then,

⇒ P(z>-1.20) = P(z

                          =0.8849

(b)

P(4.8 < x < 5.04)

= P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )

= P(1

= P(z

= 0.9641 -0.8413

= 0.1228

or,

= 12.28 (%)

(c)

P(x > x) = 0.05

z value will be,

= 1.645

⇒ 1.645 = \frac{x - 4.5}{0.3}

         x = 4.9935

(d)

P(x < 5.01)

⇒ z = \frac{x- \mu}{\sigma}

      =\frac{5.01-4.5}{0.3}

      =1.7

P(z < 1.70) = 0.9554

⇒ n = \frac{27875}{0.9954}

       =28004

3 0
3 years ago
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