Solve for x rounded to the nearest tenth.
X
18
cos 70 =x/18
Answers
Answer:
6.2 =x
Step-by-step explanation:
cos 70 =x/18
Multiply each side by 18
18cos 70 =x/18 *18
18cos 70 =x
6.15636258 = x
To the nearest tenth
6.2 =x
Answer:
x = 1260
Step-by-step explanation:
Related Questions
Find the elapsed time
1:12 p.m. to 8:11 p.m.
A. 7 h 1 minute
B. 7 h 59 minutes
C. 6 h 59 minutes
Answers
what expression is not equivalent to this expression: 75a + 50b
Answers
Factor out 25 from the expression
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
Answer the questions to solve the problem.
1. How many students did the teacher survey?
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth. Show your work.
3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium?
4) Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium. Show your work.
Answers
Devon had his two friends over for pizza. Devon ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left? I need help with this question
Answers
Answer:2/8
Step-by-step explanation:Well if there is 8/8 slices of pizza to start first your gonna add 3/8 and 1/8 which is 4/8 and now you convert 1/4 to 8ths which would be 2/8 basically you multiply 1x2=2 and 4x2=8 and that make 2/8 now 4/8 plus 2/8 equals 6/8 meaning 2/8 pizza is left.
Fraction of the pizza is left is 1/4
Given that;Devon ate 1/4 of the pizza
Friends ate 3/8 of the pizza
Other friend ate 1/8 of the pizza
Find:Fraction of the pizza is left
Computation:Fraction of the pizza is left = 1 - 1/4 - 3/8 - 1/8
Fraction of the pizza is left = [8 - 2 -3 -1 ] / 8
Fraction of the pizza is left = [2] / 8
Fraction of the pizza is left = 1/4
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How many letters are in my abc
Put the abc’s
Answers
Answer:
Let me guess it is 26 letters
A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z
Depends what alphabet you're talking about but the English one consists of 26 letters
Hope this helped you- have a good day bro cya)
Helpp plssssssssssssssssssssssssssssss
Answers
b) A quarter, a dime, and a nickel are 40% of a dollar
c) 20 nickels are 100% of a dollar
d) 15 dimes are 150% of a dollar
e) I don’t know the answer
Hope this helps :)
Answer:
just look at explanation
Step-by-step explanation:
so basically the first blank is “dollar” since its 100/100. the next blank in fraction is 1/100. for the decimal spots it’s 0.25 and 0.05. for percent it’s 10%.
Six nickels are 30% of a dollar
A quarter, dime, and nickle are 40% of a dollar.
twenty nickels is 100% of a dollar
15 dimes is 150% of a dollar
Plz Help me I am learning Slope
Answers
The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, working on it. It takes 6 hours for 16 children to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together? How many children are needed to put the same jigsaw puzzle together in 4 hours?
Answers
Answer: up to 120 pieces
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Alan has to pay Robin $48, but he has only $36 with him. Alan overdraws the remaining amount from the bank to pay Robin. After paying Robin, what will Alan's account balance be?
Answers
Answer:
$-12
Step-by-step explanation:
First, we subtract to see how much money Alan still owed.
48 - 36 = 12
Next, we subtract this number to Alan's account balance because this is the amount of money he needs to borrow from the bank, and which we know to be 0.
0 - 12 = -12
Alan's account balance after paying Robin will be $-12
A regular polygon is shown, with the measure of one of its angles labeled 3x − 15.
8 sided regular polygon with one angle labeled 3 times x minus 15
Determine the value of x.
x = 40
x = 65
x = 50
x = 135
Answers
Answer:
x = 50
Step-by-step explanation:
The interior angle at each vertex of regular octagons are 135°.
3(50) - 15 = 135
For the polygon to be an 8 sided regular polygon like you said, the angle must equal 135, and so x must equal 50.
The required value of the x in the given expression is 50°.
Given that,
A regular polygon is shown, with the measure of one of its angles labeled 3x − 15.
What is a polygon?
A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
For the octagon,
The angle of a vertex is 135°.
Equating the angles,
3x -15 = 135
3x = 135 + 15
3x = 150
x = 50
Thus, the required value of the x in the given expression is 50°.
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Which items are discounted less than 15%? Select all that apply.
A. $199.99 smartphone on sale for $167.99
B. $28,100 car on sale for $24,750
C. $58 jeans on sale for $50
D. $1.99 song download on sale for $1.75
E. $129 pair of shoes on sale for $105
Answers
Answer:
B C D
Step-by-step explanation:
ratio of discount (d) over original price(P)
d/P
B. (28100-24750)÷28100= 11.92%
C. 8/58 = 13.79%
D. (1.99-1.75)÷ 1.99= 12.06%
while A. is 16.08%
E. is 19.05%
What is the distance from (5, −18) to (5, 24)?
A. −42 units B. −6 units C. 6 units D. 42 units
Answers
counting from -18 to 24 is 42
Answer:
Step-by-step explanation:
b
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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Please explain how you solved 5x+2=47
Answers
Answer:
Step-by-step explanation:
5x+2-2=47-2 subtract 2 from both sides
5x=45 simplify
5x/5 = 45/5 divide both sides by 5
x=9 simplify
If 45 cookies will serve 15 students, how many cookies are needed for 30 students?
Answers
Answer:
10
Step-by-step explanation:
45/15 = 3
30/3 = 10
Hope this helps:)
Jackson Middle School has 5 students in choir for every 1 student in band. If there are 47 students in band, how many students are in choir?
Answers
Step-by-step explanation:
5 students in choir <=> 1 student in band
If there are 47 students in band =>
47×5 = 235 students in choir (B)
Answer:
235 (Option B)
Step-by-step explanation:
GIVEN :-
There are 5 students in a choir for every 1 student in band.TO FIND :-
Number of students in choir if there are 47 students in band.SOLUTION :-
\(\boxed {Use \: \: unitary \: \: method \: \: to \: \:solve \: \: this \: \: question}\)
5 students in choir ⇔ 1 student in band. It can be also written as :-
⇒ 1 student in band ⇔ 5 students in choir
Now , multiply 47 to both sides.⇒ (1 × 47) students in band ⇔ (5 × 47) students in choir
⇒ 47 students in band ⇔ 235 students in choir.
CONCLUSION :-
There are 235 students in the choir.
1. A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
Answers
Answer:
72
Step-by-step explanation:
First, we will multiply the number of posts (7) by the posts' width (6) to get 42.
Since there is a chain between each post, there are 6 chains.
Multiplying the number of chains (6) by the chains' length (5), we get 30.
The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.
Hope this helps!
Trinity's science instructor entered the 7th students in a STEM competition. There was an enrollment fee of $50 and an additional fee of $12 for each packet of 10 tests. The total cost was $170. How many tests were purchased? Which of the following equations best models the situation? Question 1 options:
A12x + 50 = 170
B 50x + 12 = 170
C 12x - 50 = 170
D 50x - 12 = 170
Answers
Answer:
A
Step-by-step explanation:
Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers
1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number
Answers
Answer:
option 3.
Step-by-step explanation:
alright, ima explain each option.
1. "smallest odd numbers" 2 is an even number. that's out of the playing field.
2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.
3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]
4. they do multiply to 30, but this does not help break the composite numbers down.
5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.
sub to gauthmath sub reddit if ya can !
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 12 17 44 27
Which of the following graphs correctly displays the data?
Answers
Carley’s progress from a 5-kilometer race is displayed in the graph below.
Based on the graph, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
50 minutes
45 minutes
35 minutes
20 minutes
Answers
Answer:
35 minutes
Step-by-step explanation:
An account that yields 6% simple interest annually has $2,000
How much will be in the account after 3 years if no other deposits or withdrawals are made?
Answers
6% of $2,000 is $120. Multiply that by 3 (years) and add it to the starting amount.
The amount after 3 years is $2,360.
Given that,
An account that yields 6% simple interest annually has $2,000Based on the above information, the calculation is as follows:
\(= \$2,000 + (\$2,000 \times 6\% \times 3)\\\\\)
= $2,000 + $360
= $2,360
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A square rug has an area of 100 square feet. What is the length of one side of the rug?
Answers
Answer:
10 ft
Step-by-step explanation:
Square root of 100 = 10
Answer:
10 feet
Step-by-step explanation:
To find the length of a square side using the area, what you need to do is find the square root of the area because a square area is the side length squared soooo.
\(\sqrt{100} =10\)
in which number is the value of the 5 digit ten times greater than the digit 5 in 0.5
A). 7.05
B). 25.1
C). 53.6
D). 124.005
Answers
Answer:
the answer is B
Step-by-step explanation:
I don't know how to explain im sorry
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
.........................answer
Answers
Answer:
2b+24x
Step-by-step explanation:
Hey There!
So for this problem all we have to do is combine like terms
The like terms for this problem would be (7b and -5b) and (3x and 21x)
7b-5b=2b
3x+21x=24x
So the expression simplified would be equal too 2b+24x
Hope this helps :)
Just combine all the like terms together!
pls help me right quick im in an boss fight!!!!!!!!!!
Answers
60-32= 28
I don't understand this- (math is my really WEAK point :') )
Answers
Answer:
A. 1/10
Step-by-step explanation:
You have to switch the operations for division to multipliation
I need help on these 5 questions:
Answers
Step-by-step explanation:
(2x-3)² - (4x+1)(x − 4)
4x² - 12x + 9 - 4x² - 16x + x - 4
group like terms
4x² - 4x² - 12x+x+9-4
-11x + 5