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1 year ago

What is the value of x? If necessary leave your answer in the simplest radical form.

Mathematics

1 answer:

frutty [35]1 year ago

4 0

<h3>Answer: 32</h3>

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

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What is an rational number

Dafna1 [17]

A rational number is a number that can be written into a fraction. pi, some square roots, e, etc. are irrational numbers(opposite of rational numbers)(numbers that cannot be written into a fraction).

4 0

2 years ago

Read 2 more answers

Katelyn earned $205 from a holiday job to buy winter clothes. She found several items she would like to buy, but is trying to de

Lina20 [59]

Katelyn does not have enough money to buy items she likes.

Step-by-step explanation:

Amount Katelyn had = $205

Price of one sweater = $48

Price of 2 sweaters = 2*48 = $96

Price of one pair of pants = $34

Price of four pairs of pants = 34*4 = $136

Total price = Price of sweaters + price of pairs of pants

Total price = $96+136$

$Total\ price= \$232$

Sales tax = 6.5%

Sales tax = $\frac{6.5}{100}*232$

$Sales\ tax=\frac{1508}{100}\\Sales\ tax=15.08\ Dollars$

Total amount = Total amount of items + sales tax

Total amount = 232 + 15.08

Total amount = 247.08 Dollars

Therefore,

Katelyn does not have enough money to buy items she likes.

Keywords: Percentage, Sales tax

Learn more about sales tax at:

#LearnwithBrainly

5 0

2 years ago

Use the law of cosines to find the indicated missing side

max2010maxim [7]

Answer:

19.08

Step-by-step explanation:

c² = a² + b² - 2ab×cos(C)

a=10

b=22

C=60

cos(60) = 0.5

c² = 10² + 22² - 2×10×22×cos(60) =

= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =

= 364

c = sqrt(364) ≈ 19.08

7 0

2 years ago

What is the value of c?

BaLLatris [955]

Answer:

The value of C is 3

Step-by-step explanation:

all of the angles of a triangle add up to 180°. first you would add 92 and 46 and get 138. You then subtract 180 and 138 and get 42. then you divide 42 by 14 and get 3. then substitute 3 back into the equation and you get 180.

8 0

2 years ago

A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the po

brilliants [131]

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

4 0

2 years ago