Answer:
24/25
Step-by-step explanation:
Sin indicates the trigonometric function sine.
The sine ratio is opposite over hypotenuse, referring to the side lengths. An easy way to remember this is: SOH CAH TOA (sine-opposite-hypotenuse | cosine-adjacent-hypotenuse| tangent-opposite-adjacent)
Here we are dealing with sinC.
The side opposite of angle C is 48. The hypotenuse of this right triangle is 50.
Therefore, our ratio is 48/50.
This ratio can be simplified by dividing both the numerator and denominator by 2.
24/25
This is your fully simplified answer.
Hope this helps!
The area of a rectangle is 33ft, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle
Hi there!
[tex]\large\boxed{\text{ L = 6 ft, w = 5.5 ft}}[/tex]
Use the following equation for the area of a rectangle:
A = l × w
Since the length is 5 ft less than twice the width, we can write an expression for the length in terms of the width:
l = 2w - 5
Plug the given area and expression into the equation:
33 = (2w - 5) × w
Distribute:
33 = 2w² - 5w
Move everything over to one side:
0 = 2w² - 5w - 33
Factor the equation:
0 = (2w - 11)(w + 3)
Find each w value by setting each expression equal to 0:
0 = 2w - 11
11 = 2w
w = 5.5
0 = w + 3
-3 = w
Since dimensions must be positive, the width is 5.5 ft.
Plug this value into the initial equation to solve for length:
33 = 5.5l
33/5.5 = l
l = 6 ft.
The dimensions are length = 6ft, and width = 5.5ft.
Need help in math and explain to me step by step
Answer:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]y = 4x - 1[/tex]
Required
Create a function table for inputs -2, 0, 2 and 4
When x = -2
[tex]y = 4*-2 - 1 = -9[/tex]
When x = 0
[tex]y = 4*0 - 1 = -1[/tex]
When x = 2
[tex]y = 4*2 - 1 = 7[/tex]
When x = 4
[tex]y = 4*4 - 1 = 15[/tex]
So, the table is:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
Calculate the value of each expression by writing the decimal factors as fractions the writing their product as a decimal (1.2) times 5
Answer:
A
Step-by-step explanation:
How many unit cubes would you need to make a model of a rectangular prism that is 6 units long, 2 units wide, and 5 units high?
Answer:
60
Step-by-step explanation:
Volume = 6*2*5 = 60
Answer:
C
Step-by-step explanation:
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Please help me i need it right now please
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiply both sides by 100.
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Divide both sides by 50.
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
The amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
Pls me me plsss help and show work
Answer:
Here ya go!
Step-by-step explanation:
Domain:___
Range:___
Function:___
Answer:
Domain: {-4,-2,1,3}
Range: {3,2,-1,-5}
Function: (-4,-5);(-2,-1);(-2,3);(1,2);(3,-1)
Jaunita bought a square calculator that has a measurement of 8.2 sq cm on one side?
What is the area of the calculator?
Answer:
67.24
Step-by-step explanation:
If it's a square it must have all equal sides so if one side is 8.2then all the sides are. And we are finding the AREA so L x W = A....... 8.2 x 8.2 =67.24
So 67.24 is the answer. Btw I need help on a question I asked.... Anyone minds?
Answer:
67.24cm^2
Step-by-step explanation:
Area of square=leangh×leanth since all sides are equal.
area= 8.2×8.2
=67.24cm^2
Please show your work
Answer:
a = 9
Step-by-step explanation:
a^2 = 41^2 - 40^2
a^2 = 1681-1600 = 81
a = 9
A clothing manufacturer would like to determine whether celebrity endorsements influence a customer's decision to buy its products. In order to estimate this potential​ influence, the manufacturer premieres its latest series of commercials privately to two separate groups of potential buyers. One group will see a series of commercials without​celebrities, and one group will view a series of commercials with celebrities. The potential buyers are further divided by gender. Who is in the control​ group?
A.The women who see the commercials without celebrities.
B.The men and women who see the commercials without celebrities.
C.The 100 potential buyers.
D.The men and women who see the commercials with celebrities.
E.The men who see the commercials without celebrities.
Answer:
8
Step-by-step explanation:
The women who see the commercials without celebrities is in the controler group. Correct option is A.
In an experiment, the control group is a group of individuals who do not receive the specific treatment or intervention being studied. The purpose of the control group is to serve as a baseline for comparison, allowing researchers to evaluate the impact of the treatment by comparing it to the group that did not receive the treatment.
In this scenario, the clothing manufacturer is trying to determine whether celebrity endorsements influence a customer's decision to buy its products. To evaluate this influence, they are conducting an experiment with two separate groups of potential buyers:
Group A: Potential buyers (women) who will see a series of commercials without celebrities.
Group B: Potential buyers (men and women) who will view a series of commercials with celebrities.
The control group, in this case, is Group A - the women who see the commercials without celebrities. They do not receive the treatment (celebrity endorsements) being studied. Their responses and behavior will serve as a baseline against which the effects of celebrity endorsements on the buying decision can be compared in Group B.
By comparing the responses and behavior of the two groups, the clothing manufacturer can determine whether celebrity endorsements have a significant influence on the customers' decision to buy their products. The control group is essential for ensuring that any observed effects in Group B are not due to other factors but rather can be attributed to the presence of celebrity endorsements.
To know more about commercials:
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rewrite y-340.2=-8.1(x-7) in point slope equation.
it only accepts answers in the form of for example, y=500/3(x+4)+800
The four members of a singing quartet are buying new outfits. The shirts are $21 , the pants are $26 , the hats are$6 and the canes are$13 . What is the total cost of the new outfits for all the members?
Answer:
here'
Step-by-step explanation:
mate ur answer is 16.5 hope u got it
Answer:
$66
Step-by-step explanation:
$21 + $26 + $6 + $13 = $66
pls help
plsssssssssssss
Answer and Step-by-step explanation:
Because of the vertical angles theorem, the angle that is 65 degrees would be equal to y.
y = 65°
X and Y are supplementary angles, which form a linear lair. This linear pair will add up to 180 degrees.
TO find x, we subtract 65 from 180.
180 - 65 = 115
x = 115°
X and Z are vertical angles, so they are equal to each other.
z = 115°
x = 115°
y = 65
z = 115°
To solve for the length of PQ, we would use the Pythagorean theorem equation.
[tex]a^{2} +b^{2}= c^{2} \\\\\\a = PQ\\\\b = QR\\\\c = PR\\\\\\a^{2} + 24^{2} = 25^{2} \\\\a^{2} + 576 = 625\\\\a^{2} = 49\\\\a = 7[/tex]
The length of PQ is 7.
#teamtrees #WAP (Water And Plant)
Answer:
y = 65 degrees
x = 115 degrees
z = 115 degrees
Step-by-step explanation:
the angle between c and a will be the same as y because of vertical angles
the same goes for x and z
y and x are supplementary angles, so if y is 65 then you do 180 - 65 to get 115
$8,000 is invested in an account earning 8.7% interest (APR), compounded continuously. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
i believe it would be 8k divided by 8.7 pie
Write an equation for the n th term of the arithmetic seqeuence. Then find a{10}. 100,110,120,130
Answer:
100+10n
Step-by-step explanation: a(10)
100+10(10)
100+100 = 200
The length of one wall in Mr. Shelby‘s classroom and 29 feet. What is the length of this wall in inches.
Answer:
348 inches
Step-by-step explanation:
29x12=348
The length of Mr. Shelby's wall is 348 inches.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, the length of one wall in Mr. Shelby's classroom and 29 feet, we need to convert it into inches.
So,
1 ft = 12 inches
Therefore,
29 ft = 29 × 12
= 348 inches
Hence, the length of Mr. Shelby's wall is 348 inches.
Learn more about unit conversion, click;
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Lynette and Amber are planning their eighth-grade graduation ceremony. They are shopping for decorations for the stage.
They want to buy a balloon arch that costs $89.95.
They also want to buy some flower arrangements that cost $9.75 each.
They can spend no more than $250.
Lynette thinks that they can buy the balloon arch and 16 flower arrangements, but Amber thinks they can buy the balloon arch and 20 flower arrangements. Which girl's estimate is more reasonable?
A-Amber's, because the flower arrangements will cost about $100
B-Lynette's, because 16 flower arrangements will be about $160
C-Lynette's, because the arch will cost about one-half of their funds
D-Amber's, because $160 will be left for the flowers after buying the arch
Answer:
B
Step-by-step explanation:
Paul was thinking of a number. Paul subtracts 8 from it and gets an answer of 20.6. What was the original number?
Answer:
28.6 is the answer as when you subtract 8 from 28.6 you get 20.6 which Paul got
what is the area of 30' long by 3/4' wide?
Answer:
A = 22.5 ft^2
Step-by-step explanation:
This shape is a rectangle of length 30' and width 3/4'.
The area of a rectangle of length L and width W is A = L * W.
Here, with L = 30' and W = (3/4)', A = (30')(3/4') = 45/2 ft^2, or A = 22.5 ft^2
Please help me.......
Answer:
I think its c but not entirely sure...
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
A
Step-by-step explanation:
M = 17 x
The total cost = cost of t-shirts (number of t-shirts)
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
make a number line and show all values of x such that... x<-1 and x>1
if this makes sense
Step-by-step explanation:
<_____* *________>
<---|------|-----|-----|-----|-----|----->
-2 -1. 0. 1. 2. 3
Answer:
1+1=2
ur name rhymes with p**
Step-by-step explanation:
PLEASE HELP!!!!!! A certain transformation is applied to a line segment. The new segment shifted to the left within the coordinate plane. What was the transformation?
A rotation
A reflection
A translation
It cannot be determined.
A natural history museum surveyed the people visiting the museum for one month and created a circle graph to show the age of the visitors for that month.
a. Find the number of degrees for each part of the museum visitors graph.
1. Age 18 and under:
2. Age 19 – 44:
3. Age 45 – 64:
4. Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how many visitors were there for each age group?
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
Answer:
the right answer is 18 and under for part a for part b the answer is 45 -64
Answer:
I KNOW Prart b not still looking for a if help witha would help but here is b
Age 18 and under: 175
Age 19 – 44: 1750
Age 45 – 64: 1500
Age 65 and over: 1000
4.5/5.5 simplified ? thanks!
Answer:
Step-by-step explanation:
You can multiply the numerator and denominator by 2
(4.5/5.5)(2/2)=9/11
a city has a population of 32000 people supposed each year the population Grows by 4% what will the population be after 12 years
Answer:
Step-by-step explanation:
32,000 × 1.04¹² = 51,233
[tex]\huge\colorbox{pink}{An§wer}[/tex]
32,000 × 1.04¹² = 51,233Step-by-step explanation:
hope it helps ( ꈍᴗꈍ)PLEASE IVE DONE THIS 3 TIMES EASY MATH CHALLENGE NEED EXPLANATION 20 POINTS The board game Kings crown has, red, green, and gold gems for the players to earn as they play. The game has 1/3 as many green games as red gems. It has 1/6 as many red gems as gold gems. What fraction of the game's gems are gold?
Answer:
9/11
Step-by-step explanation:
The green gems are red gems divided by three. The red gems are gold gems divided by six. Make the number of gold gems, g. The red gems would be g/6, and the green gems (g/6)/2=g/18. So, the total marbles would be g+g/6+g/18=18g/18+3g/18+g/18=22g/18=11g/9. Now you have to find what percent of 11g/9 is g. (11g/9)(percent)=g. The percent as a fraction is 9/11.
Guys please help me I don’t understand and my test is due at 12 I only have 40min HELP GREATLY APPRECIATED!!!
Answer:
{9} Slope: -1
Y-intercept = 0
Step-by-step explanation:
Slope-----
Recall slope-intercept form
y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0
We see that our slope, or coefficient on x, is −1.
Y-intercept-----
We can rewrite this equation as:y=1x+0
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
Hope this helps!
What is the solution to this equation?
2x + 3(x - 10) = 45
A. X = 15
B. x = 11
C. X = 3
D. x = 7
SUBM
Answer:
A. X= 15
Step-by-step explanation:
2x + 3(x - 10) =45
2x + 3x - 30 = 45
5x = 45 + 30
X = 75/5
X = 15