What is the length of side BC of the triangle?

Answer:

The percentage increase in [tex]T[/tex] is 20 %.

Step-by-step explanation:

Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:

Initial value

[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)

Final value

[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]

[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)

(1) in (2):

[tex]T_{ii} = 1.2\cdot T_{i}[/tex]

And the percentage increase in T is:

[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)

[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]

[tex]\%T = 20\,\%[/tex]

The percentage increase in [tex]T[/tex] is 20 %.

Answer:

Step-by-step explanation:

Lets subsitute k, x and y as  100 to make it easier for us

So k = 100, x = 100, y = 100

Step 1 :-   T = kx/y

- T = 100 * 100 / 100 = 100

Step 2 :- Increase by 20% = 100 * 20% = 20,    100 + 20 = 120

Step 3 :- Percentage Increase = Increased value OVER original calue          MULTIPLIED by 100%

SO = ( 120 - 100 ) ,,,,   20/100 * 100% = 0.2* 100 = 20%

Answer:

17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)

Step-by-step explanation:

18 .

21; 17.5; 14; 10.5; and 7

3 x 7 = 21

2.5 x 7 = 17.5

2 x 7 = 14

1.5 x 7 = 10.5

1 x 7 = 7

Answer:

question is???

Step-by-step explanation:

Answer:

183/25 is an equivalent fraction form for decimal 7.32

Step-by-step explanation:

Answer:

7 8/25

Step-by-step explanation: 183/25 = 7 8/25 = 7.32

9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 7.9[/tex]

The alternate hypothesis is:

[tex]H_{a}: \mu \neq 7.9[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The hypothesis tested means that [tex]\mu = 7.9[/tex]

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that [tex]\sigma = 0.2[/tex]

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that [tex]X = 7.3, n = 21[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}[/tex]

[tex]z = -13.74[/tex]

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

[tex]z = -13.74[/tex] has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Answer:

Step-by-step explanation:

20 times pop. of Panama = 20×(4×10⁶) = 80×10⁶ = 8×10⁷

Population of Thailand = 7×10⁷ < 8×10⁷

pop of Thailand is less than 20 times pop of Panama.

Answer:

2

Step-by-step explanation:

Answer:

Window :D

Step-by-step explanation:

Okay but it's 2 I gotchu bro

Answer:

i think it would be negative. -1/8

it's a prism that is good question it's a prism ok a prism

Answer:

A prism.  A pyramid would look a little different, and flat too.

Hope that helps!

Step-by-step explanation:

Answer:

The anwser i think it's D

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

x - 90 = 22

add (solve for x)

x = 112

Answer:

86

Step-by-step explanation:

Answer:

2(1.75+3.00) and 3.50x+6.00

Step-by-step explanation:

have a great day :D

Step-by-step explanation:

D

Answer:

your answer will be

2 and 1/12

Step-by-step explanation:

hope it helps you

have a great day!!

8.3 (repeating) percent or 2 out 24 children

Answer:

Radius of convergence is 1/10

Step-by-step explanation:

Answer:

x=6,1,5 is your answer look it once

Answer:

2/3

Step-by-step explanation:

Answer:

A = pi 9/16  cm^2

Step-by-step explanation:

The circumference is 3/2 pi

The circumference is given by

C = 2 * pi *r

3/2 pi = 2 * pi *r

Divide each side by 2 *pi

3/2 pi / 2 pi  = 2 pi r /2pi

3/4 cm = r

Now we can find the area

A = pi r^2

A = pi ( 3/4) ^2

A = pi 9/16  cm^2

Answer:

d) 9/16π cm²

Step-by-step explanation:

Circumference = 3/2π cm

diameter = 3/2 cm

radius = 3/2 ÷ 2 = 3/4 cm

area = π(3/4)² = 9/16 π cm²

Answer: 6

Step-by-step explanation:

Answer: 29 lbs

Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.

The required pounds of cat food Mr. Kramer get in all is 9.

given that,

First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.

In mathematics, it deals with numbers of operations according to the statements.

In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce

Thus, the required pounds of cat food Mr. Kramer gets in all is 9.

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9514 1404 393

Answer:

  A, D

Step-by-step explanation:

Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.

The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...

Answer:

B

Step-by-step explanation:

Add 8 to half the difference of 6 and 2, then subtract 1. Therefore, the option B is the correct answer.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given expression is 8+ 1/2×(6-2)-1

= 8+1/2×4-1

= 8+2-1

= 10-1

= 9

Therefore, the option B is the correct answer.

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Answer:

3

Step-by-step explanation:

I did the math

Answer:

3

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

numbers between 8 to 15 is 7

so d even numbers are 4

that is d answer is 4/7

The probability that the number is an even number is 1/2.

The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.

A number from 8 to 15 is drawn at random.

The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8

Total even number = 8, 10, 12, 14 = 4

The probability that the number is an even number is;

[tex]\rm Probability =\dfrac{Total \ even \ number }{Total \ numbers}\\\\ Probability =\dfrac{4}{8}\\\\ Probability =\dfrac{1}{2}[/tex]

Hence, the probability that the number is an even number is 1/2.

Learn more about probability here;

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