Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Given The Following Information, Find The Length Of The Missing Side. Leave Your Answer As A Simplified

Answers

Answer 1

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer 2

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3


Related Questions

pls pls pls :,) help me plssssssss no links no links NO LINKS pls and if you don’t know don’t answer because I really need help

Answers

Answer:

Step-by-step explanation:

use your calculator

A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?

Answers

Answer:

3 lessons

Step-by-step explanation:

available hours: 4 hrs 30 min

time per lesson: 1 hr 30 min

2 lessons is 3 hrs

which leaves even time for one more lesson after 2 lessons

So, she can schedule 3 lessons in 4 hrs in 30 min

In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?

Answers

The answer would be 12

60/5 = 12

Answer:

12

Step-by-step explanation:

fill in the blanks

[tex] {(x + 3)}^{2} - x - 3 = (x + 3) \times ............[/tex]
please answer my question I will mark you as brainliest and I will follow you ​

Answers

Answer:

Step-by-step explanation:

(x + 3)² - x - 3 = (x +3 )² - (x + 3)

                      = (x +3)(x + 3) - (x + 3)*1

                      = (x + 3) [ x + 3 - 1]

                      = (x + 3 (x + 2)

Which of the following is a sequence?
A 3, 6, 9, 18, ...
B 3, 6, 12, 18, ..
C 0.3, 0.7, 1.3, 1.5, ...
D 0.3, 0.6, 1.2, 2.4,​

Answers

Answer:

The answer of this question is D

Step-by-step explanation:

Time 2

Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd? OPTIONS:
F
He can use his credit card to buy the television now.
G
He can save money and pay cash for the television at a later date.
H
He can use his debit card to buy the television now.
J
He can save money and use his debit card to buy the television at a later date.

Answers

Answer:

The only option which is not available for Mr. Lloyd is to use his debit card to purchase the television now. The debit card can only be Used to make purchases when the account holder has funds or money in his or her account.

Step-by-step explanation:

9 times 10 to the power of minus 9. As a normal number.

Answers

First, write the expression. Then solve.

9 x 10^-9

9 x 0.0000000010

0.000000009

---

sorry if i'm wrong, I haven't done this in a while

PLEASE HELP WILL MARK BRAINLIEST!!! No links and serious answers only!!
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?​

Answers

Equation is at bottom with work above.

Turn 6/10 into an equivalent fraction with a denominator of 80.

Answers

Answer:

48/80

Step-by-step explanation:

In order to get a denominator of 80, we need to turn the current denominator, 10, into 80. We do this by multiplying it by 8. We then have to multiply the top by 8 to keep it equal.

hope this helped :)

What’s the answer and work for this? Someone please tell me

Answers

Answer:

Step-by-step explanation:

# 12

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12 is a median of a data

I BEG FOR MY LIFE EZ PLS

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Answers

Answer:

B and D

Step-by-step explanation:

This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!

the number value of 2 in the number 4256​

Answers

Answer:

200

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

The two is in the hundredths place

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

(2, 5)

Step-by-step explanation:

(x,y) -> )- y,x)

Corresponding Angles are congruent.
Which angle corresponds with <3?

Answers

Answer:

<5

Step-by-step explanation:

angle correspondant

F(x)=-x^2 find f(3)……………………………

Answers

Answer:

- 9

Step-by-step explanation:

[tex]F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9[/tex]

I have no clue how to do this! please help me!!!

Answers

Answer:

The equation has one solution.

A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10

A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10

Step-by-step explanation:

2x=10

Divide both sides by two:

2x/2=10/2

x=5. There is no other solution to the equation, because 5 is the only possible answer.

HELP AHHHHHHHHHHHHHHHH

Answers

Answer:

y = 3x+4

Step-by-step explanation:

slope formula is changes of y over the changes of x

[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]

m is slope in y = mx+b.

Substitute the coordinate points in.

[tex] \large{m = \frac{7 + 2}{1 + 2} } \\ \large{m = \frac{9}{3}} \\ \large{m = 3}[/tex]

Since we know the slope, we rewrite by substituting m = 3 in the slope-intercept form.

[tex] \large{y = mx + b} \\ \large{y = 3x + b}[/tex]

Then we either substitute one of given coordinate points to find the value of b. I will substitute (1,7) in the equation.

[tex] \large{7 = 3(1)+ b} \\ \large{7 = 3 + b} \\ \large{7 - 3 = b} \\ \large{4 = b}[/tex]

Then rewrite the equation from y = 3x+b by substituting the value of b.

[tex] \large{y = 3x + b} \\ \large{y = 3x + 4}[/tex]

Tom has seven blue Margaret Benny has four blue how many blue mop with two they have in all

Answers

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

7+4=11

Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?

Answers

4:15 he finished at 4:15

In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,025 and a standard deviation of $230. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 60 one-bedroom apartments and finding the mean to be at least $1,955 per month

Answers

Answer:

The probability is "0.9908". The further explanation is provided below.

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu=2025[/tex]

Standard deviation,

[tex]\sigma =230[/tex]

Sample,

[tex]n=60[/tex]

According to the question,

The probability of selecting a sample of 60 one-bedroom apartments will be:

=  [tex]P(\frac{\bar{x}- \mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{1955-2025}{\sqrt{\frac{230}{\sqrt{60} } } } )[/tex]

=  [tex]P(Z\geq -2.36)[/tex]

=  [tex]1-P(Z \leq -2.36)[/tex]

After placing the values, we get

=  [tex]0.0092[/tex]

or

=  [tex]09908[/tex]

10111011/111 binary division

Answers

Answer:

91090.1891892

Step-by-step explanation:

rounded it would be 91090

Patel bought a model rocket kit from a catalog. The
price of the kit was $125. A $10 charge for shipping will
be added. Patel received an allowance of $20 per
week. How many weeks will it take him to purchase
the kit?

Answers

Answer:

7 weeks

Step-by-step explanation:

add 10 to 125 then divide by 20

Answer: he will need to save to 7 weeks

Step-by-step explanation:

125+10=135

he needs 135 to get the kit

y=20x

135=20x

6.75=x

he will need to save to 7 weeks

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

D

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Pls help ignore my answers :v.

Answers

so u r already finished? don't post it next time

a city has a population of 34000. the value k is 0.0305. what is the population of the city after 9 years

Answers

Answer:

6

Step-by-step explanation:      6 9 0

For patients who have been given a diabetes test, blood-glucose readings are approximately normally distributed with mean 127 mg/dl and a standard deviation 10 mg/dl. Suppose that a sample of 4 patients will be selected and the sample mean blood-glucose level will be computed. Enter answers rounded to three decimal places.
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between
the lower-bound of [BLANK] and the upper-bound of [BLANK]

Answers

Answer:

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.

Step-by-step explanation:

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

Mean of 127, standard deviation of 10.

For the sample mean:

By the Central Limit Theorem, mean is 127, while the standard deviation is [tex]s = \frac{10}{\sqrt{4}} = 5[/tex]

According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?

By the Empirical Rule, within 2 standard deviations of the mean. So

127 - 2*5 = 117 mg/dl

127 + 2*5 = 137 mg/dl.

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

I believe its c

Step-by-step explanation:

Answer:

(4, -11)

Explanation:

The coordinate's signs just change (negative becomes positive and vise versa)

A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting 1 yellow marble, not replacing it, then selecting a green marble

Answers

Without replacement is very important

Xander needs to collect at least 180 cans for a food drive to earn community service credit. He has already collected 64 items. describe in words

Answers

Xander Needs to collect a total of 180 cans.He already has collected 64 cans.He need about 116 more cans to collect his total.

Given: ΔSTQ
ST=TQ
SD⊥TQ
m∠1=32°
find: m∠S, m∠T, m∠Q

Answers

Answer:

∠ S = 58° , ∠ T = 64° , ∠ Q = 58°

Step-by-step explanation:

the sum of the 3 angles in Δ DQS = 180° , that is

∠ Q + ∠ 1 + 90° = 180°

∠ Q + 32° + 90° = 180°

∠ Q + 122° = 180° ( subtract 122° from both sides )

∠ Q = 58°

given ST = TQ , then Δ STQ is isosceles with base angles congruent, that is

∠  S = ∠ Q = 58°

the sum of the 3 angles in Δ STQ = 180° , that is

∠ T + ∠ S + ∠ Q = 180°

∠ T + 58° + 58° = 180°

∠ T + 116° = 180° ( subtract 116° from both sides )

∠ T = 64°

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