Find the value of x in this polygon. x =

Please help, greatly appreciated

fredd [130]

Take a look at the right triangle. The vertical leg has length 12 cm because the square is 12 cm on a side.

According to the Pyth. Thm., x^2 + (12 cm)^2 = (20 cm)^2. Then:

x^2 = 400 cm^2 - 144 cm^2, or x^2 = 56

Then the unknown side length, x, is +√56 = +7√8 = +14√2.

4 0

3 years ago

there is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200ml of 4.5% acid

disa [49]

Below are the choices:

A. 80 mL of the 3.5% solution and 120 mL of the 6% solution

B. 120 mL of the 3.5% solution and 80 mL of the 6% solution 

C. 140 mL of the 3.5% solution and 60 mL of the 6% solution 

D. 120 mL of the 3.5% solution and 80 mL of the 6% solution

Let fraction of 3.5% in final solution be p.

p * 3.5 + (1 - p) * 6 = 4.5 

3.5p + 6 - 6p = 4.5 

2.5p = 1.5 

p = 3/5 

3/5 * 200 = 120 

Therefore the answer is B. 120 ml of 3.5% and 80 ml of 6%.

6 0

3 years ago

1.

dsp73

2x^2-x+18x-9
=x(2x-1)+8(2x-1)
=(2x-1)(x+8)

I hope this helps

6 0

3 years ago

How are the gcf and the lcm alike and different

sdas [7]

Alike: They both find what's in common.
Difference: LCM finds the least common multiple while GCF finds the greatest common factor.

3 0

3 years ago

An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then li

Lelu [443]

Question:

An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses.

(a) What are the simple events in this ranking experiment? (Enter your answers as a comma-separated list.

What probability would you assign to each one?

(b) What is the probability that C is ranked first? (Round your answer to three decimal places.)

(c) What is the probability that C is ranked first and D is ranked last? (Round your answer to three decimal places.)

Answer:

(a)

Sample Space= {CDP, CPD,DCP,DPC,PCD,PDC}

Probability of each = 1/6

(b)

Probability of C ranking first = 0.333

(c)

Probability of C ranking first and D ranking last = 0.167

Step-by-step explanation:

Let C = Cup 1

Let D = Cup 2

Let P = Cup 3

(a) The possible events

Let SS = Sample Space = The possible outcomes

The possible outcomes are

CDP

CPD

DCP

DPC

PCD

PDC

So, SS = {CDP, CPD,DCP,DPC,PCD,PDC}

Possibly outcome = 6

Probability of each event = number of possible outcomes/Number of Total outcomes

Probability of each event = 1/6

(b)

Probability that C is ranked first

Looking at the sample space (SS), you'll notice that only two events starts with C

The events are CDP and CPD

So the probability = 2/6

Probability = 0.333

(c)

Probability that C ranks first and D ranked last.

Looking at the sample space, you'll notice that only one event satisfies the condition

The event is CPD

So, the probability is 1/6

Probability = 0.167

6 0

4 years ago

Find the value of x in this polygon.x =