Answers
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the given angle, we know the opposite side and want to know the hypotenuse. Therefore, we should use the sine function.
sin(54) = 16/AB
AB = 16/sin(54)
AB = 19.78 units
Hope this helps!
Related Questions
Use the elimination method to solve this system. − 4 x − 2 y = − 12, 4 x + 8 y = − 24
Answers
Answer:
x = 6; y = -6
Step-by-step explanation:
-4x - 2y = -12
4x + 8y = -24
Add the two equations, so x is eliminated:
6y = -36
6y/6 = -36/6
y = -6
Plug in y, to solve for x
-4x - 2y = -12
-4x - 2(-6) = -12
-4x +12 = -12
-4x = -12 -12
-4x = -24
-4x/-4 = -24/-4
x = 6
Answer from Gauthmath
solve the equation[tex]x^3+\left(y^'\right)^3-3xy^'\:=0[/tex]
Answers
Answer:0
Step-by-step explanation:
3x=3xy
x=0
y=0
3 times 0 = 0
What is the first step to solve the equation 16x-21 = 52?
1 Add 52 to both sides
2 Add 21 to both sides
3 Subtract 21 from both sides
4 Subtract 52 from both sides
Answers
Answer:
2) Add 21 to both sides
Step-by-step explanation:
When solving [tex]16x-21=52[/tex] for [tex]x[/tex], our goal to isolate [tex]x[/tex] such that we have [tex]x[/tex] set equal to something.
Therefore, we want to start by adding 21 to both sides. This leaves us with [tex]16x=73[/tex] and we are one step closer to isolating [tex]x[/tex].
Which phrase describes the linear relationship between the values of x and y shown in the table?
x l y
-3 l 9
0 l 0
3 l -9
A. y is 3 times x
B. x is 6 more than y
C. y is 12 more than x
D. y is -3 times x
Answers
Answer:
The answer is D. Y is -3 times x
The phrase which describes the linear relationship between the values of x and y is y is -3 times x.
What is linear relationship between two variables?
A linear relationship is any relationship between two variables that creates a line when graphed in the x y -plane.
According to the given question.
We have a linear relationship between x and y.
From the first we can see that
When,
x = -3 and y = 9
⇒ y = -3x = -3 × (-3) = 9
when,
x = 0, and y = 0
⇒ y = -3x = -3 × 0 = 0
when,
x = 3, and y = -9
⇒ y = -3x = -3 × 3 = -9
Hence, this shows that y is -3 times x.
Thus, option D is correct.
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SOMEONE PLS HELP ME!!!
Answers
Answer:
No
Step-by-step explanation: Bye
ANSWER NOW IM TIMED Louie uses 10 feet of wood, 16 wheels and one can of paint for every 4 skateboards he builds.
A 4-column table with 3 rows. Column 1 is labeled Skateboards with entries 1, 4, 10. Column 2 is labeled Wood with entries blank, 10 feet, blank. Column 3 is labeled Wheels with entries blank, 16, blank. Column 4 is labeled paint with entries blank, 1 can, blank.
Use the table to find how much of each item Louie needs to build 10 skateboards.
Louie needs
feet of wood,
wheels, and
cans of paint.
Answers
Answer: 25 feet of wood
40 wheels and 2.5 cans of paints
Step-by-step explanation:
Answer:
25 feet of wood
40 wheels and
2.5 cans of paints
Step-by-step explanation: I did this before Also can i get brainlyist please
For the right angle, find the missing quantity indicated below the figure.
Answers
Answer:
The Answer is 28.........
What is the order of rotational symmetry for the figure?
A. 4 or more
B. 2
C. 1
D. 3
Answers
9514 1404 393
Answer:
C. 1
Step-by-step explanation:
The only rotation that maps the figure to itself is rotation by 360°. The rotational order is 1.
Solve for x
6x + 11= - (6x + 5)
Answers
Answer:
x = -4/3
Step-by-step explanation:
6x + 11 = -6x - 5
12x = -16
x = -4/3
Answer:
x = -4/3
Step-by-step explanation:
6x + 11= - (6x + 5)
Distribute the minus sign
6x+11 = -6x-5
Add 6x to each side
6x+11 +6x = -6x-5+6x
12x+11 = -5
Subtract 11 from each side
12x+11-11 = -5-11
12x = -16
Divide by 12
12x/12 = -16/12
x = -4/3
The retail of a price of an LCD TV was $7000 what was the original price before the GST of 10% was added?
Answers
Answer:
$636.36
Step-by-step explanation:
7000 = 110% of total cost
Try to get it to 100 percent
700/11 = 63.(63)
63.(63)*10= 636.36
Find 900 ÷ 90.
plz help
Answers
Answer:
the answer is 10
Step-by-step explanation:
900 ÷ 90
=> 10 [tex]\sf{}[/tex]
Answer:
The answer is 10.
Step-by-step explanation:
900/90=cut 0 of numerator and denominator then 90 divide by 9 is 10.
find the missing side length in the image below
Answers
Let missing side be x
Using basic proportionality theorem
[tex]\\ \sf\longmapsto \dfrac{18}{14}=\dfrac{27}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{7}=\dfrac{27}{x}[/tex]
[tex]\\ \sf\longmapsto 9x=7(27)[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{7(27)}{9}[/tex]
[tex]\\ \sf\longmapsto x=21[/tex]
lyng
whose zeros and
Zeros: - 4, 4, 8; degree: 3
Need this in polynomial form
Answers
(x+4)(x-4)(x-8)
Expand:
x^3-8x^2-16x+128
As you can notice, the degree — as mentioned in the original question — is in fact 3. Let me know if you have further questions.
time in months it would take for a $1500 dollar investment in a TFSA to grow to $1545 if the simple interest at a rate paid was 2% per annum.
Answers
It would take 17 months and 14 days for the investment to grow to $1545.
To determine the time in months it would take for a $ 1500 dollar investment in a TFSA to grow to $ 1545 if the simple interest at a rate paid was 2% per annum, the following calculation must be performed:
First, you must obtain 2% of 1545 to determine the interest generated per year.
1545 x 2/100 = X 30.9 = XThen, a cross multiplication must be carried out considering the number of months it took to generate said interest, and compare it with the interest that arises from the subtraction of 1545 - 1500, that is, 45.
30.9 = 1245 = X45 x 12 / 30.9 = X540 / 30.9 = X17.47 = X 1 = 300.47 = X14 = XTherefore, it would take 17 months and 14 days for a $ 1500 dollar investment in a TFSA to grow to $ 1545.
Learn more about interest in https://brainly.com/question/19903178.
give that 1/x+2/y=1/2, express y in terms of x and 2
Answers
9514 1404 393
Answer:
y = 4x/(x -2)
Step-by-step explanation:
Subtract 1/x
2/y = 1/2 -1/x
Combine terms
2/y = (x-2)/(2x)
Cross multiply
4x = y(x -2)
Divide by the coefficient of y
y = 4x/(x -2) . . . . simplest
y = 2^2/(x -2) . . . . in terms of x and 2
Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m = 8 normal subjects was 1.71 mm, and the sample standard deviation was .53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.53 and .87, respectively.
Required:
a. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects?
b. State and test the relevant hypotheses using a significance level of 0.01.
Answers
Answer:
Hence, data does not suggest the true average gap detection threshold for CTS subjects exceeds that for normal subjects.
Step-by-step explanation:
H0 : μ1 = μ2
H1 : μ1 < μ2
Given :
m = 8 ; x1 = 1.71 ; s1 = 0.53
n = 10 ; x2 = 2.53 ; s2 = 0.87
The test statistic :
(x1 - x2) / √(s1²/m + s2²/n)
(1.71 - 2.53) / √(0.53²/8 + 0.87²/10)
-0.82 / √0.1108025
Test statistic = - 0.82 / 0.3328700
Test statistic = - 2.463
The degree of freedom using the conservative approach :
Smaller of (10 - 1) or (8 - 1)
df = 7
TCritical value(0.01, 7) = 2.998
Decision region :
Reject H0 if |Test statistic| > |critical value|
Since, 2.463 < 2.998 ; WE fail to reject H0 ; Hence result is not significant at α = 0.01
A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours beyond 8 hours). For up to 8 hours worked, the equation for total pay (y) for hours worked (x) is y = 20x. For over 8 hours worked, what is the equation for total pay (y) as a function of total hours worked (x)?
Answers
Answer: y = 30x
Step-by-step explanation:
Because we are talking about over 8 hours. The question states that you get 30$ per hour for overtime hours. That means if you work over 8 hours your dollars per hour increases to 30. So because the amount of dollars increases to 30 you can infer that all you have to do is make the same equation as the 20 dollar's per hour equation. Except you put 30 making it y = 30x.
Does the function f(x) = (0.68)^x represent exponential growth, decay, or neither?
Answers
Answer:
The function is always Decreasing
Step-by-step explanation:
By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.
In each figure below, find m<1 and m<2 if a is parallel to b. You don't have to show work.
please help i need this by tonight will give brainliest
Answers
Answer:
m <5 = 71 degrees.
m <8 = 109 degrees.
The perimeter of a rectangular Garden is 80 feet the garden is three times as long as it is wide the system of equation can be used to find the width in the length
Answers
Answer:
10 wide 30 long
Step-by-step explanation:
1. Start guess and check.
2. When you get to 10 follow this:
10x3=30. 30+30+10+10=80
80=80
13. Find the smallest number which when divided by 21,28,36 and 44 leaves a
remainder of 3 in each case?
Answers
Answer:
2775
Step-by-step explanation:
Well of course since the problem is not restricted, the smallest number is 3. I'm almost sure that's not what you mean. The next smallest number is 2775. I found that using a programing language. I'm sure as well that does not satisfy the question, either.
I think you are intended to do this by finding the lowest common multiple and adding 3.
21: 3 * 7
28: 2 * 2 * 7
36: 2 * 2 * 3 * 3
44: 2 * 2 * 11
LCM = 2 * 2 * 3 * 3 * 7 * 11 = 2772
Now add 3 and the number you want is 2775
Hey good morning I need help ASAP thank you guys
Answers
Answer:
A 59
Step-by-step explanation:
Higher sample size is generally always more accurate
Given the following coordinates complete the glide reflection transformation.
Answers
9514 1404 393
Answer:
A"(-1, -2)B"(4, 0)C"(6, -3)Step-by-step explanation:
The reflection over the x-axis is ...
(x, y) ⇒ (x, -y)
The shift left 3 units is ...
(x, y) ⇒ (x -3, y)
So, the two transformations together will be ...
(x, y) ⇒ (x -3, -y)
A(4, 2) ⇒ A"(1, -2)
B(7,0) ⇒ B"(4, 0)
C(9, 3) ⇒ C"(6, -3)
You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a month. Agency A charges 50 percent of the first month's gross salary. Agency B charges 10 percent of your monthly salary for the first six months. Agency C charges a $100 up-front fee and a flat fee of $500 when you are placed. Compare the three choices. Which of these offers the least expensive overall fee?
Answers
Answer:
Agency C offers the least expensive overall fee
Step-by-step explanation:
Alone from gross salary, you would make 24000 a year.
Agency A
24000 - ( 2000 x 0.5)
= 23,000
$1000 fee
Agency B
24000 - ( 2000 x 0.1 ) x 6
= 24000 - 200 x 6
= 24000 - 1200
= 22,800
$1200 fee
Agency C
24000 - (500 + 100)
= 24000 - 600
= 23,400
$600 fee
PLZ HELP ASAP
A student poll on campus wanted to analyze the correlation of the Number of calories consumed per day to the weight of a student. in the form of a paragraph describe which visual display is most appropriate to represent the data. explain your reasons for choosing this type of visual display.
Answers
Answer:
Each kids weight in a chart
Step-by-step explanation:
I chose this because its the most organized way of doing that
Evaluate the expression when x=6 and y=-3.
-x+7y
Answers
Answer:
-27
Step-by-step explanation:
Let x = 6 and y = -3
[tex]-(6)+7(-3)\\-6-21\\-27[/tex]
What percent of 30 is 3?
Answers
Answer:
10%
Step-by-step explanation:
3/30 × 100 = 100
Therefore 3 is 10% of 30
3 is 10 percent of 30.
To determine what percent of 30 is 3, we can use the concept of finding a proportion or ratio.
The proportion can be set up as follows:
3 is what percent of 30?
Let x represent the unknown percentage.
Using the formula for finding the percentage, we can write:
x/100 = 3/30
To simplify the equation, we divide both sides by 3:
x/100 = 1/10
To isolate x, we multiply both sides by 100:
x = (1/10)100
Simplifying the expression, we have:
x = 10
Therefore, 3 is 10% of 30.
To understand this calculation, we can interpret it as follows: If we consider 30 as the whole or 100%, then 3 is a fraction of that whole. By dividing 3 by 30 and multiplying by 100, we find that 3 is equivalent to 10% of 30.
To learn more about the percentage;
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Use AABC to find the value of sin B.
Answers
Answer:
35/37
Step-by-step explanation:
sin(B)=(AC)/(AB) = 35/37
A ball is kicked from the ground. At 1 second it is 3 m off the ground. At 2 seconds it is 12 m off the ground, at 3 seconds it is 27 m off the ground After 3 bounces, how high is the ball
Answers
Answer:
the correct answer is 3 m............
PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)
–6
3
–59
26
Answers
Answer:
1st option
Step-by-step explanation:
Evaluate f(- 5) then substitute the value obtained into g(x)
f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then
g(3) = - 4(3) + 6 = - 12 + 6 = - 6
