Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answers
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:
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
You are going on a road trip over a distance of 3000 miles with three friends. The car consumes 6 gallons of gas per 150 miles and gas costs $1.20 per gallon. If you want to split the cost of gas evenly between the four of you, how much should each of you pay? Please show step by step. Please HELP!! Answer soon.
Answers
Answer:
$54
Step-by-step explanation:
[3,000 / 100] x 6 = 180 - Liters of gas will be used on a 3,000 Km trip.
180 x 1.20 = 216 - total cost of gas over 3,000 Km trip.
216/4 = $54 - share of each one of the 4 people
what is the answer for 1/3x+y=4 and if you use big ideas math program and you got the right answer lemme know
Answers
Answer:
x=-3y+12
Step-by-step explanation:
Yes.
Can someone help me with this right now? :(
Answers
Answer:
A- 6/x^2
Step-by-step explanation:
Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73
Answers
Answer:
I think its 2.73 not sure tho
Step-by-step explanation:
Answer:
I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)
Step-by-step explanation:
Find the range of the data. 26, 21, 27, 33, 24, 29
Answers
Answer:
33-21=9
Step-by-step explanation:
Work out
44.09
% of
78.76
cm
Answers
Answer:
34.72
Step-by-step explanation:
44.09/100 × 78.76
=34.72
A publisher has orders for 600 copies of a certain text from San Francisco and 400 copies from Sacramento. The company has 700 copies in a warehouse in Novato and 800 copies in a warehouse in Lodi. It costs $5 to ship a text from Novato to San Francisco, but it costs $10 to ship it to Sacramento. It costs $15 to ship a text from Lodi to San Francisco, but it costs $4 to ship it from Lodi to Sacramento. How many copies should the company ship from each warehouse to San Francisco and Sacramento to fill the order at the least cost
Answers
Answer:
Ship : 600 copies from Novato and 400 copies from Lodi to fulfill order at least cost ( $4600 )
Step-by-step explanation:
Order size :
600 Copies of texts from San Francisco and
400 Copies of texts from Sacramento.
Available notes in the company
700 copies of texts in Novato
800 copies of texts in Lodi
Cost of sending copies of texts
Novato to San Francisco = $5
Novato to Sacramento = $10
Lodi to San Francisco = $15
Lodi to Sacramento = $4
considering Novato
700 copies are available hence the the least cost will be
600 * $5 ( to Francisco ) = $3000
considering Lodi
800 copies are available hence the least cost will be
400 * $4 ( to Sacramento ) = $1600
Therefore the least cost = $3000 + $1600 = $4600
Hunh put $3000 into a savings account that earns 6% simple interest annually. After six years, how much money will Hunh have?
Answers
Answer:
4,080.00
Step-by-step explanation:
The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 6% per year for 6 years is $4,080.00.
You had $25 to spend on eight avocados.
After buying them you had $9. How
much did each avocado cost?
Answers
Answer:
Each avocado costs $2
Step-by-step explanation:
subtract 9 from 25 and get 16
divide 8 by 16 and you have $2
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer: clockwise 90 degrees
Step-by-step explanation:
Answer:
Clockwise 90º
Step-by-step explanation:
270º/90 = 3
This means to rotate the quadrilateral 3 times amongst the x and y axis.
Counterclockwise 90º x1 = y at (0,-3)
Cc90º x2 or cc180º = y at (3,0)
Cc90º x3 or cc270º = y at (0,3)
If you wanted to move clockwise to (0,3), you'd only have to move 90º
Counterclockwise 270º = Clockwise 90º
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answers
Answer:
Omg im a big fan anything for you the answer is d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
.
help me plz.................
Answers
Answer:
[tex]\frac{1}{8}[/tex] cup
Step-by-step explanation:
[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]
[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]
[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]
[tex]y=\frac{1}{8}[/tex]
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points) 30 pointss pls answer hurry
Answers
Answer:
The other guy's correct!
Step-by-step explanation:
The mean grade in Mathematics of Grade 11 students from school A is 83 with standard deviation of 4, while the mean grade in Mathematics of Grade 11 students from school B is 87 with standard deviation of 5. Using 49 samples from school A and 64 from school B, what is the probability that the mean grade of students from school B exceeds the mean grade of students from school A by at least 3 but less than 5?
Answers
Using the context surrounding the word trough in line 9 of "Concrete Mixers," explain what a trough looks like and what it does on a concrete mixer. .
sorry I can't delete it this not answer your question
solve the equation of the 18y = 144 to find the value of y
Answers
Answer:
y=8 i think
Step-by-step explanation:
Answer: y=8
Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8
I hope this helps you or anybody!
You want to be able to withdraw $40,000 each year for 15 years. Your account earns 9% interest. How much
do you need in your account at the beginning?
Answers
Answer:
40000×1×9%=3 600 this is for year
given that 16 ounces is 1 pound, how many ounces are in 12.4 pounds.
A. 192
b.198.4
c. 201.6
d. 208
Answers
Since there is 16 ounces in 1 pound you would do 12.4 x 16 which is equal to 198.4
Hope I helped
Which ordered pair is on the x axis?
Answers
Answer:
0,0
Step-by-step explanation:
need help ASAP plssssssssssssssssss
3,945 ÷ 45 = (?)
R (?)
Answers
Bart owns a neighborhood Kwik-E-Mart. At the end of the day on Wednesday, he counted total receipts in his store of $8,399.70. If the sales tax on food items is 2%, how much merchandise did Bart sell on Wednesday? How much sales tax did he collect?
Answers
please answer it's easy
Answers
Answer:
did not see that coming
Step-by-step explanation:
Got rickrolled
Solve for x: wx-x=d
w does not equal 1
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answers
Answer:
x=w/1+yz
Step-by-step explanation:
Hope this helped!
Solve for X if D = -9
3 + 6x · 5d = ?
Answers
Answer:
3-270x
Step-by-step explanation:
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)
Answers
Answer:
9 km/h or 48 km/hStep-by-step explanation:
Let the distance is d, speed is sAs per given we have:
d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4Substitute d with 5s and solve for s:
36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48 km/hThe original speed of grey wolf can be 9 km/h or 48 km/h
Pllllllllllllllllllllllllllllssssssssssssssssssssssssssss
Answers
Answer:
50.24 units^2
Step-by-step explanation:
Area of circle formula: [tex]\pi[/tex]r^2
r = 4, [tex]\pi[/tex] = 3.14
3.14 * (4^2) = 3.14 * 16 = 50.24
Answer:
Step-by-step explanation:
3.14*4^2
3.14*16= 50.24
True or False
You can only multiply exponents when the bases are the same.
Answers
Answer:
The answer is false
Answer:
False
Step-by-step explanation:
We run a terminating simulation 20 replications to estimate the average throughput of a manufacturing system. Suppose that the observed throughputs from these 20 replications are 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7. a. (0.1 point) What is the 99% t-confidence interval for the mean throughput
Answers
Answer:
[tex]CI =6.5 \± 1.09[/tex]
Step-by-step explanation:
Given
[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]
Required
Determine the 99% t-confidence interval
First, calculate the mean
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]
[tex]\bar x =\frac{130}{20}[/tex]
[tex]\bar x =6.5[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]
[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]
[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]
[tex]\sigma =\sqrt{7.15}[/tex]
[tex]\sigma =2.67[/tex]
The z score for 99% confidence interval is: 2.576
The confidence interval is calculated as:
[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]
[tex]CI =6.5 \± 1.09[/tex]
Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.
Answers
Answer: $240.75
Step-by-step explanation:
HELP WILL MARK BRAINLEST
no files nd no pictures
Answers
Answer:
6xsquared +9x + 12-
James ran mile on Monday. On
Tuesday, he ran 3 times as far. Which
equation can be used to determine x,
how far James ran on Tuesday?
Answers
Answer:
c
Step-by-step explanation:
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