The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.
Sine ruleSine rule is used to show the relationship between the angles of a triangle and the sides opposite to the angles. It is given by:
a / sin(A) = b / sin(B) = c / sin (C)
where A, B, C are the angles and a, b, c are the sides opposite to the angles.
From the question:
let a = 8 in, A = 30°, b = 6 in, hence:
a / sin(A) = b / sin(B)
8 / sin(30) = 6 / sin(B)
B = 22°
The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.
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To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.
This system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit
and x is the shirt price,
p < -15x2 + 6003 + 60
P5,000
Complete the statements about the system's possible solutions.
When the price of the shirt is $15, the company
When the price of the shirt is $25, the company
its profit goals.
its profit goals.
Reset
Next
Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
What is the profit goal?The profit goal is met when the price of a good or service exceeds the costs of its production and sales.
At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.
Thus, we can conclude that:
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843
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Clara has 3 bottles of paint. She buys 5 more bottles of paint. If she uses 1/4 bottle of paint to paint a picture, how many similar paintings can she paint with all the paint?
ANSWER:
She has 3+5=8 bottles of paint. 1/4 bottle paints a picture.
8 divided by 1/4 = 32 paintings possible with all the paint
Answer:
32 Paintings
Step-by-step explanation:
8 Bottles 4 per one bottle so 8x4 =32
Hoped this helped.
What value of c makes x2 + 6x + c a perfect square trinomial?
3
6
9
12
9514 1404 393
Answer:
(c) 9
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)² = x² +(2a)x +a²
You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...
c = (6/2)² = 9
Answer:
9
Step-by-step explanation:
help lol sjdnwkfnnsnfnsndnwmdn
Answer:
m<2 = 40°
Step-by-step explanation:
<1 and <2 area corresponding angles. Corresponding angles are congruent.
m<1 = 40° (given)
Therefore,
m<2 = m<1 = 40°
m<2 = 40°
Identify the 3D shape shown below. Choose 1 answer: A Cone B Cylinder © Sphere
Answer:
Cylinder
Step-by-step explanation:
A cone is a 3D triangle with a circular base, and a sphere is a 3D circle
Answer:
CYLIDER
Step-by-step explanation:
How many diagonals does a 12-sided convex polygon have? What is the general
rule for a convex polygon with n sides?
Answer:
goodluck!
Step-by-step explanation:
well is 12 sided and has digonal so
Answer:
54
Step-by-step explanation:
No of diagonals in a n sided polygon
[tex]= \frac{n(n-3)}{2} [/tex]
Therefore,
No of diagonals in a 12 sided polygon
[tex]= \frac{12(12-3)}{2} [/tex]
[tex]= 6\times 9[/tex]
[tex]= 54[/tex]
Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
9514 1404 393
Answer:
53
Step-by-step explanation:
The area of the pool is ...
A = πr²
A = 3.14×(10 ft)² = 314 ft²
The number of bags of sand required is ...
(314 ft²)/(6 ft²/bag) ≈ 52.33 bags
53 bags of sand are needed.
Can someone help me with this
(show work)
Answer:
16
Step-by-step explanation:
$500 ÷ $31.25 = the number of the calculator that the school bought
It is because each calculator cost RM31.25 and the school used $500 to buy plenty of number of them.
According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?
The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.
How to calculate LCD TV depreciation?To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.
A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:
700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39Learn more about depreciation in: https://brainly.com/question/15085226
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help with math thanks so much!!!!
Answer:
The answer is 7
What is the value of the exponential expression below?
36 1/2
Answer:
D. 6
Step-by-step explanation:
[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]
Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s
A and C are separated by 21.14 miles. The right answer is A.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.
Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.
The following formula will be used to determine how far A is from C:
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC=√(325+300 cos 66)
AC = 21.17 m/s
As a result, A and C are separated by 21.14 miles. The right
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Help- this is also due tomorrow-
Answer:
46
Step-by-step explanation:
n 1990, the mean height of women 20 years of age or older was 63.7 inches based on data obtained from theCDC. Suppose that a random sample of 45 women who are 20 years of age or older in 2015 results in a meanheight of 63.9 inches with a standard deviation of 0.5 inch. Does your sample provide sufficient evidencethat women today are taller than in 1990
Answer:
The sample does not provide sufficient evidence that women today are taller than women in 1990.
The difference in mean height is not significant to arrive at such a conclusion.
Step-by-step explanation:
Mean height of women 20 year of age or older in 1990 = 63.7 inches
Mean height of women 20 years of age or older in 2015 = 63.9 inches
The standard deviation of the mean height in 2015 = 0.5 inch
The difference between the two years' mean height is 0.2 (63.9 - 63.7) inch.
This difference is less than the standard deviation of the mean height in 2015.
Therefore, the difference does not provide sufficient evidence that women today are taller than women in 1990.
please help asap, i will mark as brainliest. please try to find the answer! asap
For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.
a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.
Answer:
1. T test for independent means
2. T test for dependent means
3. T test for dependent means
Step-by-step explanation:
In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.
- The groups in the experiment are unrelated
- The tests in the research are unrelated
- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.
In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.
What is -4^2 equal to?
Answer:
-16
Step-by-step explanation:
Negative four to the second power is equal to -4 x -4 which is -16
Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.
Required:
What is Jose’s cost basis for the delivery van?
Answer:
Jose's cost basis for the delivery van = $42,410
Step-by-step explanation:
Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.
Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:
Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410
Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.
Answer:
4d - c + 3
4(6) - 3 + 3
24 - 3 + 3
24
Step-by-step explanation:
24
Hope this helps :T
Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?
Answer:
The answer is 65%
Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)
Research studies show that the relationship between the tire pressure of a vehicle's tires and the life of the tires is
quadratic. The following table shows data for the tire pressure of a car's tires (in pounds per square inch) and its
average tire life (in thousands of miles)
Tire Pressure Tire Life
29
46.8
32
576
34
58.8
36
60.0
38
58.8
40
57.0
42
52.8
Use a graphing or online regression calculator to find the quadratic function of best fit for this set of data. Then predict
the tire life for this vehicle's tires given that the tire pressure is maintained at 30 psi (pounds per square inch)
47.800 miles
48.800 miles
Answer:
i dont know what is that explain that
who is involved in the stimulus check please help me i really need help please
Answer:
Go on the IRS website and fill out the form.... this is what heard beetween a conversion with my brother and dad
Step-by-step explanation:
What is the range for the set of data?
A. 4
B. 6
C. 3.5
D. 0
I don’t want a link, so if you were gonna send one, ignore this instead
The mean of ten numbers is 13. What eleventh number, if included with the original numbers, would result in a mean of 12?
Answer:
2
Step-by-step explanation:
To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.
Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.
130 + 2 = 132, meaning the answer is 2.
You're welcome!
The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2
Formula for mean is;
Mean = Sum of numbers/sample size
We are given;
Mean = 13
Sample size = 10
Thus, sum of numbers = 13 × 10 = 130
Now, we want to add an eleventh number so that the mean will be 12.
Thus, n = 11
12 = (130 + x)/11
Cross multiply to get;
12 * 11 = 130 + x
x = 132 - 130
x = 2
Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2
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54v–42w.
Write your answer as a product with a whole number greater than 1
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Answer:
6(9v -7w)
Step-by-step explanation:
The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:
54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)
find the least common factor of 4,5,6 no links or photo or I will report you
Answer:
60
Explanation:
The new superset list is
2, 2, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 5 = 60
In exponential form:
LCM = 22 x 31 x 51 = 60
LCM = 60
Therefore,
LCM(4, 5, 6) = 60
PLEASE HELP!!
All measurements are in inches when not given. Find the area of the
following: *
12
15
180 inches ^2
100 inches 12
300 inches ^2
Answer:
180 inches ^2
Step-by-step explanation:
12 x 15 = 180
also i like your profile
Anyone know how to do this
Answer:
ill help if u help with me with chemistry
Answer:
A: The conclusion is not valid. You must first be given that BC = AD
Step-by-step explanation:
Then again I could be Wrong. Math is not my strongest
giving brainliest!!
pls answer correctly
Answer:
DISCLAIMER:I'M NOT REALLY GOOD AT MATH
Surface area=¶r squared.
¶=3.14
Radius=D/2
=10/2
5
therefore,3.14×5×5
=78.5
If Brianna can read 1/4 of her book in 1/2 hour, how much of her book will she read in 1 hour?