Answers
Answer:
9.7 cm
Step-by-step explanation:
[tex] \frac{ \sin(82) }{c} = \frac{ \sin( 55)}{8} \\ c = \frac{8 \times \sin(82) }{ \sin(55) } = \\ c = \frac{7.922}{0.819} = 9.67 = 9.7[/tex]
Related Questions
I have 15 pounds of flour. How many batches of pizza dough can I make from 1 bag of flour?
Answers
Answer:
with one pound of pizza dough you can make one large pizza or two 10-inch pizzas.
so 15 Large pizzas or 30 10 in pizzas
Step-by-step explanation:
1. Sprint PCS offers a monthly cellular phone plan for $39.99. It includes 450 anytime minutes and charges $.45 per minute for additional minutes. a. x represents __________________ (2 points) b. f(x) represents ___________________ (2 points) c. Write out your piecewise function, including the domain.
Answers
Answer:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
Step-by-step explanation:
Given
Charges: $39.99 for first 450 minutes
Charges: $0.45 for additional minutes
(a): What is x
x represents the total minutes
(b): What is f(x)
f(x) represents the total monthly cellular charges
(c): The piecewise function
For the first 450 minutes, the function is:
[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]
For additional minutes.
In (a), the total minutes is x.
So, we have:
Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)
[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]
[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]
Open bracket
[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]
[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]
Collect Like Terms
[tex]f(x) = 0.45x+39.99 - 202.5[/tex]
[tex]f(x) = 0.45x-162.51[/tex]
The range of the above function is: x > 450.
So, the piecewise function is:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
PLASE ANSWER THISSSSSSS WILL GIVE BRAINLIST TO WRITE ANSWER
Answers
Answer:
B: 15.7 inches
Step-by-step explanation:
Sam buys 3 different types of fruit in 3-fourths pound baskets. Maria has 1 and 1-fourth pounds fruit.
How many pounds of fruit do they have altogether?
Answers
Please help me answer this:)
Will give you brainlst ^
Answers
Okay, got it!
Here's the graph (sorry if it's confusing I'm going to try my best)
Print Electronic Total
Youths 33 28 61
Adults 33 37 70
Total 66 65 131
Hope this helps!
Roshanda was curious if students in her class would complete a maze faster if fast-paced music was playing in the background. She randomly assigned each student in her class to one of three groups: fast-paced music, slow-paced music, or no music. She timed each student as they individually completed a maze with their corresponding music (or no music) in the background. Students who worked with the fast-paced music, on average, completed the maze significantly faster than students in the other groups.
Can we conclude that the fast-paced music caused her classmates to finish the maze faster? Why?
(A) Yes, because the study included each student in her class
(B) Yes, because the adults were randomly selected
(C) Yes, because the students were randomly assigned to treatment and control groups
(D) Not necessarily, because the sample size was too small
(E) Not necessarily, because this wasn't an experiment
Answers
Answer: (E) Not necessarily, because this wasn't an experiment
Step-by-step explanation:
As much as the results would suggest that the fast-paced music was responsible for the faster finishing time, this conclusion cannot be authoritatively made because this was not technically an experiment but rather a test to satisfy curiosity.
An experiment is planned and is scientific. It has more stringent requirements that ensure causation that Roshanda did not meet before she engaged in this trial so we cannot say for a fact that her findings are objective.
Answer: C. yes, the students were randomly assigned to treatment and control groups.
Step-by-step explanation:
Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?
Answers
Answer:
48 dimes and 62 quarters
Step-by-step explanation:
Find the 53rd term of the arithmetic sequence -12,-1,10
Answers
Answer:560
Step-by-step explanation:
Answer: 560
Step-by-step explanation:
PLEASE HELP ME WITH BOTH QUESTIONS ASAP!!!!!!!!!
Answers
Answer:
I have #1, answer is 400
Step-by-step explanation:
80% of 500 is 400
Answer:
First one is 400
Step-by-step explanation:
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order
Answers
Answer:
0.0309
Step-by-step explanation:
Faces on dice ( 1, 2, 3, 4, 5, 5)
Number of outcomes = 6
With 5 repeated twice
P(event A) = Required outcome / Total possible outcomes
Required outcome :
Number of 5's = 2 * distinct faces!
Required outcome = 2 * 5! = 2 * 120 = 240
Total possible outcomes = (number of faces)^distinct Numbers = 6^5 = 7776
Required / total possible = 240 / 7776
= 0.0308641
= 0.0309
HELPPPP PLZ. I NEED HELP PLZ I WILL GIVE MORE POINTS AND BRAINLIEST FOR CORRECT ANSWER.
Answers
Nicole is more expansive
Step-by-step explanation:
x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24
Answer:
Step-by-step explanation:
Nicole is more expansive
Step-by-step explanation:
x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24
A softball has a radius of 3 inches. What is the volume of the softball? Round your answer to the nearest whole number.
Answers
Answer:
38
Step-by-step explanation:
V = 4/3 (pie) r(cube)
V = 4/3 (3.14) 3(cube)
V = 4/3 (3.14) (9)
V = 4/3 (28.26)
V = 37.68
V = 38 (Rounded up)
2. The value, v, of the hat is less than $9.
what is the inequality
Answers
Answer:
v < 9
Step-by-step explanation:
Since the value of the hat is less than 9, we will use a less than sign.
In the inequality, the less than sign has to be in front of 9.
So, put this together:
v < 9
The inequality is v < 9
What transformation is described by the
notation (x, y) —> x,-y)?
A : translation left 1 unit
B : translation down 1 unit
C : reflection across the x-axis
D : reflection across the y-axis
Answers
Answer:
C. reflection across the x-axis
Step-by-step explanation:
When a point is reflected across the x-axis, the x-coordinate stays the same while the y-coordinate turns into its opposite (positive to negative, negative to positive).
As we can see in the notation, the x-coordinate stayed the same while the y-coordinate went from positive to negative, which tells us that this notation is a reflection across the x-axis.
While Vivian was visiting her sister in Springfield, she bought a set of bunk beds that was marked down 25% from an original price of $80. If the sales tax in Springfield is 10%, what was the total cost of the set of bunk beds?
Answers
Answer:
66 i think
Step-by-step explanation:
Triangle PQR will be rotated 90° counterclockwise about the origin.
What will be the coordinates of R'?
A.
(6, 3)
B.
(3, 6)
C.
(−3, −6)
D.
(1, 2)
Answers
Here are the noon temperatures (in degrees Celsius) in a particular Canadian city on Thanksgiving Day for the 10 years from 2002 through 2011: 0, 3, 6, 8, 2, 9, 7, 6, 4, 5. Describe the typical temperature and the amount of variation to a person who has never had a course in statistics. Give three ways of describing the representative temperature and two ways of describing its variation, explaining the differences and how you figured each. (You will learn more if you try to write your own answer first, before reading our answer at the back of the book.)
Answers
Answer:
a) Three ways of describing the representative or typical temperatures are the mean, median, and mode.
The mean = 5. This is the average temperature. It is calculated by adding up the varying temperatures each year and dividing by 10.
Median = 5.5. This is the middle value in the temperature table. There are two middle numbers (5 and 6) in the dataset. They are added and divided by two.
Mode = 6. This is the value that occurs more than other values in the dataset. The value 6 occurred twice more than other values.
b) The two ways of describing the variation of temperatures are the variance and the standard deviation.
Variance = 7. This is a measure of how spread out a data set is. It is calculated as the average squared deviation of each number from the mean of a dataset.
Standard Deviation = 2.65. The standard deviation measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Step-by-step explanation:
a) Data and Calculations:
Noon Temperatures (in degrees Celsius) in a particular Canadian City on Thanksgiving Day:
Year Degree Difference Squared
Celsius Difference
2002 0 -5 25
2003 3 -2 4
2004 6 1 1
2005 8 3 9
2006 2 -3 9
2007 9 4 16
2008 7 2 4
2009 6 1 1
2010 4 -1 1
2011 5 0 0
Sum 50 70
Mean = 5 (50/10)
Variance = 7 (70/10)
Standard Deviation = 2.65 (Square root of variance)
Median = 0, 2, 3, 4, 5, 6, 6, 7, 8, 9 (the values are arranged numerically.)
= (5 + 6)/2 = 5.5
Mode = 6 (occurred twice more than other values)
Russell is purchasing a $175,000 home with a 30-year mortgage. He will put
down $15,000 down payment. Use the table below to find his monthly PMI
payment
Base-To-Loan %
Fixed-Rate Loan
30 yrs. 15 yrs.
ARM 2% + 1 Year Cap
30 yrs.
15 yrs.
95.01% to 97%
0.90% 0.79%
n/a
n/a
90.01% to 95%
0.78% 0.26%
0.92%
0.81%
85.01% to 90%
0.52% 0.23%
0.65% 0.54%
85% and Under
0.32% 0.19%
0.37% 0.26%
O A. $97.50
B. $1170
O c. $1248
O D. $104.00
Answers
104.00
vdybshdbdidbeuvei
heydubeuheisnsndu
~!!!! HELP IM IN 7TH GRADE LEARNING 9TH AND 8TH PLEASE HELP !!!!~
QUESTION~
The graph of g(x) = 4|x| − 3 maps a
person’s path from their house to
school, and their path from school
to a friend’s house. At what point
is the school located?
Answers
Answer:
It would be (0,-3) ^^you can see on the graph
he heights of adults in a certain town have a mean of 65.42 inches with a standard deviation of 2.32 inches. A random sample of 144 adults living in the center of the town was selected and their mean height was found to be 64.82 inches. Find the probability that a sample of this size would have a mean of 64.82 inches or less.
Answers
Answer:
0.001 = 0.1% probability that a sample of this size would have a mean of 64.82 inches or less.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The heights of adults in a certain town have a mean of 65.42 inches with a standard deviation of 2.32 inches.
This means that [tex]\mu = 65.42, \sigma = 2.32[/tex]
Sample of 144:
This means that [tex]n = 144, s = \frac{2.32}{\sqrt{144}} = 0.1933[/tex]
Find the probability that a sample of this size would have a mean of 64.82 inches or less.
This is the pvalue of Z when X = 64.82. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{64.82 - 65.42}{0.1933}[/tex]
[tex]Z = -3.1[/tex]
[tex]Z = -3.1[/tex] has a pvalue of 0.001
0.001 = 0.1% probability that a sample of this size would have a mean of 64.82 inches or less.
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answers
Answer:
The answer is A
30
F (x)=x+3x find f(2)
f(x)=3x-2 find f(-10)
help please
Answers
Answer:
f(x)=3x-2 is 4x i dont know bout the other one
Step-by-step explanation:
Answer:
1) f(2) = 8
2) f(-10) = -32
Step-by-step explanation:
Whenever you see a problem that asks something like what f(2) or f(-10) is, it is asking you to substitute whatever number is in the parentheses for every x in the given function.
1) So, to find f(2), substitute 2 for every x in the given function, f(x) = x + 3x and solve:
[tex]f(2) = (2)+3(2)\\f(2) = 2 + 6 \\f(2) = 8[/tex]
Thus, for this function, f(2) = 8.
2) Do the same with the second question. Substitute -10 for every x in the given function, f(x) = 3x - 2.
[tex]f(-10) = 3(-10) - 2 \\f(-10) = -30-2\\f(-10) = -32[/tex]
Thus, for this function, f(-10) = -32.
what is - 1/4 + 6 pls i need help
Answers
Answer:
Exact Form: 23/4
Decimal Form: 5.75
Mixed Number Form: 5 3/4
Step-by-step explanation:
Hope this helps! <3
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
84° 68° 95° x°
Answers
Answer:
x=113
Step-by-step explanation:
because 95 + 84 + 68 is 247 360 - 247 = 113
The cost of 7 chairs is equal to the cost of 2 tables. If the cost of 6 chairs and 5 tables is Rs.10,575, find the cost of 12 chairs.
Answers
Answer:
5,400
Step-by-step explanation:
7c = 2t; t = 7c/2
6c +5t = 10575
6c + 5(7c/2) = 10575
6c + 35c/2 = 10575
multiply all through by 2
12c + 35c = 21,150
47c = 21,150
c = 21150/47 = 450
12 chairs = 450 × 12 = 5,400
what is the length of the hypotenuse
Answers
Answer:
65 ft
Step-by-step explanation:
You can find the length of the hypotenuse using the formula a^2+b^2=c^2 where c is the hypotenuse and the other two sides are a and b.
16^2=256
63^2=3969
256+3969=4225
4225=c^2
Get c by itself by taking the square root of both sides.
This leaves you with c=65
The symbol used to seperate the tenths and ones is called a?
Answers
The answer you are looking for is called a
Decimal
Have a beautiful day!
An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
Answers
Answer:
22.5 Pounds
Step-by-step explanation:
This is correct because i did it on Big Ideas and got it correct with 22.5.
HELPPPPPPP MEEEEEEEEEEEE
Answers
Answer:
man thats hard
Step-by-step explanation:
Help Please! I'll Give Brainliest!
Answers
Answer:
A
Step-by-step explanation:
the answer is a