Answers
Answer:
\(x=23.8\)Step-by-step explanation:
Trigonometric ratios are represented by the following equations:
\(\begin{gathered} sin(angle)=\frac{opposite}{hypotenuse} \\ cos(angle)=\frac{adjacent}{hypotenuse} \\ tan(angle)=\frac{opposite}{adjacent} \end{gathered}\)Then, to solve for x use the sin relationships since it is given the angle and the hypotenuse of the right triangle, solve for the opposite side:
\(\begin{gathered} sin(48)=\frac{x}{32} \\ x=32*sin(48) \\ x=23.8\text{ } \end{gathered}\)Related Questions
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d
Answers
The average rate of change for the interval from x = 7 to x = 8 is 35.
To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.
Let's calculate it step by step using the given table
For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35
Difference inx-values Δx = x2- x1 = 8- 7 = 1
Average rate of change = Δy/ Δx = 35/ 1 = 35
Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.
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What is the value of (2/3)^4 ?
Answers
Answer:
THE ANSWER IS 81/16 OR C
A step by step would be nice.
what does y =
Answers
Answer:
y=42°
Step-by-step explanation:
We see the big triangle is split into 2 triangles.
The lower triangle is composed of 90°, 48°, and y.
since the angles must add to 180°,
180°-90°=90° 90°-48°=42°
y=42°
Check:
42+48=90
90+90=180°
Please give brainliest if possible.
What is the value of the expression?
3 • [(30 - 8) ÷ 2 + 2]
Answers
Answer: 39
Step-by-step explanation:
30-8=22
22/2=11
11+2=13
13 times 3 =39
Help please!!!!!!!!!!!!!!!!1
Answers
Answer:
Parts A and B : See below
Part C: (20, 15)
Step-by-step explanation:
Part A
To compute the data uploaded just plug in values for t = 0, 1, 2, 3, 4, 5 into the equation D = 0.75t. This is a simple equation, you should be able to do it
For t = 0, D = 0.75(1) = 0MB
For t = 1, D = 0.75(1) = 0.75MB
For t = 4, D= 0.75(4) = 3MB
etc
Part B
To plot the graph take any two sets of values to plot two points and draw a straight line. I would choose (0, 0) and (4, 3) and draw a line through these points.
Part C
Use the equation 15 = 0.75t
==> t = 15/0.75 = 20 seconds
Answer: (20, 15)
a merry go round has a radius of 18 ft if a passenger gets on a horse located at the edge of thevwheel and travels 38 ft find the angle of rotation to the nearest degree
Answers
Answer
Angle of rotation for the merry go round = 121°
Explanation
The distance travelled by the wheel by moving/rotating through an angle is the length of the arc that would subtend the angle moved through at the center of the circle.
\(\text{Length of an arc = }\frac{\theta}{360\degree}\times2\pi r\)where
Length of the arc = 38 ft.
θ = Angle that the circular figure moves through = ?
π = pi = 3.14
r = radius of the circle involved in the motion = 18 ft.
\(\begin{gathered} \text{Length of an arc = }\frac{\theta}{360\degree}\times2\pi r \\ \text{38 = }\frac{\theta}{360\degree}\times2\pi\times(18) \\ 38=0.3143\theta \end{gathered}\)We can rewrite this as
0.3143θ = 38
Divide both sides by 0.3143
(0.3143θ/0.3143) = (38/0.3143)
θ = 120.9° = 121° to the nearest degree.
Hope this Helps!!!
determine the domains of each of the following logarithmic functions. state your answers using any accepted notation. be sure to show the inequality that you are solving to find the domain and the work you use to solve the inequality.
Answers
1. y = log_2(x-7)
Domain: x > 7
To determine the domain of this logarithmic function, we must solve the inequality x > 7. We can do this by subtracting 7 from both sides of the inequality.
x > 7
-7 -7
x - 7 > 0
The domain of this logarithmic function is x > 7. This means that x must be greater than 7 in order for the function to be defined.
The opposite of exponential functions are logarithmic functions. The exponential function y = axe has the inverse, x = ay. The exponential equation x = ay is declared to be identical to the logarithmic function y = log ax. y = logax only applies when x = ay, a > 0, and a 1. The logarithmic function with base an is what it is known as.
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Based on the information in the two-way table, what is the probability that a person
selected at random both bikes and runs?
Round your answer to the nearest tenth of a percent.
Answers
Answer:
Step-by-step explanation:
Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
Answers
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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Write the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3. Include all of
your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answers
Answer:
y - 1 = -3(x - 6)
Step-by-step explanation:
Use the point-slope equation:
y - b = m(x - a)
where the line passes through the point (a, b) and has slope m:
y - 1 = -3(x - 6)
Julia has 9 one pound bags of sand each a different color. For a art project she will use 1/8 lb of each bag of sand to create sand art jar. How much sand will be in the jar?
a. 8/9, b. 1/72, c. 1 1/9, d. 1 1/8
Answers
factor this polynomial x^2 -3x^3 +10x^7
Answers
pls mark brainliest if correct
volume of a sphere when radius is 50
Answers
Answer:
Step-by-step explanation:
Givens
r = 50
Formula
V = 4/3 pi r^3
Solution
V = 4/3 * 3.14 * 50^3
V = 4.19 * 50^3
V = 4.19 * 125000
V = 523750
Daniel puts some wheat flour into an empty bowl. Then he add 2/3 cup rye flour to make a total of 2 5/12 cups of flour. How much wheat flour is in the bowl.
Answers
Answer:
1 3/4 cups of wheat flour is in the bowl
Step-by-step explanation:
x + 2/3 = 2 5/12
First, convert the 2/3 to 12ths by multiplying numerator and denominator by 4 = 8/12
Then convert the 2 5/12 to an improper fraction 29/12
x + 8/12 = 29/12
subtract 8/12 from both sides
x = 21/12 = 1 9/12 = 1 3/4
Simplify using the order of operations. 2+6*8=
Answers
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
I will give brainliest and ratings if you get this correct
Answers
Using Cramer's rule for first-order condition:
x₁ = -149/444x₂ = -69/222x₃ = 139/444Using Hessian for the second-order condition, critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.
How to determine 1st and 2nd order condition?(a) Using Cramer's rule for the first-order condition:
To optimize the function y, find the critical points where the gradient is equal to zero. The gradient of y is given by:
∇y = [6x₁ - x₂ - 3x₃ - 5, -x₁ + 12x₂ + 2x₃ - 4, 2x₂ + 8x₃ + 2 - 3x₁]
Setting the gradient equal to zero:
6x₁ - x₂ - 3x₃ - 5 = 0 (1)
-x₁ + 12x₂ + 2x₃ - 4 = 0 (2)
2x₂ + 8x₃ + 2 - 3x₁ = 0 (3)
Using Cramer's rule to solve this system of linear equations, the determinant of the coefficient matrix is:
|A| =
| 6 -1 -3 |
|-1 12 2 |
|-3 2 -3|
|A| = 444
The determinant of the matrix obtained by replacing the first column of A with the constants on the right-hand side of the equations is:
|A₁| =
| 5 -1 -3 |
| 0 12 2 |
| 0 2 -3|
|A₁| = -149
The determinant of the matrix obtained by replacing the second column of A with the constants is:
|A₂| =
| 6 5 -3 |
|-1 0 2 |
|-3 0 -3|
|A₂| = -138
The determinant of the matrix obtained by replacing the third column of A with the constants is:
|A₃| =
| 6 -1 5 |
|-1 12 0 |
|-3 2 2|
|A₃| = -278
Therefore, using Cramer's rule:
x₁ = |A₁|/|A| = -149/444
x₂ = |A₂|/|A| = -69/222
x₃ = |A₃|/|A| = 139/444
(b) Using the Hessian for the second-order condition:
To check whether the critical point found in part (a) is a maximum, minimum or saddle point, we need to use the Hessian matrix evaluated at the critical point. The Hessian of y is given by:
(y) =
| 6 0 -3 |
| 0 12 2 |
|-3 2 8 |
Evaluating H(y) at the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444):
H(y) =
| 6 0 -3 |
| 0 12 2 |
|-3 2 8 |
The eigenvalues of H(y) are 2, 6, and 18, which are all positive. Therefore, H(y) is positive definite, and the critical point is a minimum.
Therefore, the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.
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What are the step by step math problem to -(64/8)^2
Answers
Answer:
Step-by-step explanation:
This problem always do them first ( )
-(64/8)^2 is - ( 8 )
So it will be like this
-1 (8)^2
I put -1 in front because it is easier to understand.
so -1 (8)^2 is -1* 64
Answer is -64
Answer: -64
Step-by-step explanation:
Do the numbers in the brackets first: 64/8 = 8
So, we have -(8)^2
Leave the negative sign alone for now, we have (8)^2
Now, (8)^2 = 8 x 8 = 64
Then we add the negative sign to the final answer, 64
-64
What are the coordinates of the turning point of the parabola whose equation is y = -x² + 4x + 1?
Answers
The coordinates of the turning point of the parabolic equation is solved to be
(2, 5)How to find the coordinates of the turning point of the parabolic equationThe turning point of parabola refers to the saddle point this is the point that the curve changes course of increasing or decreasing
Solving the equation
y = -x² + 4x + 1
differentiating the equation
y' = -2x + 4
solve for x when y' = 0
0 = -2x + 4
2x = 4
x = 2
substitute x = 2 and solve for y as follows
y = -x² + 4x + 1
y = -(2)² + 4 * 2 + 1
y = -4 + 8 + 1
y = 5
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X + 2 y > - 12
Y < 6x + 7
Answers
Answer:
subtract 2y from both sides of the inequality
your always welcome cuz my job is to help you
Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answers
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
The scale drawing of a building has a height of 10 centimeters. The actual building is 20 feet high. How many centimeters in the scale drawing represent one foot on the actual building?
A. 1/2
B. 2
C. 10
D. 30
Answers
1/2cm in the scale drawing represents one foot on the actual building.
What is the scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). When both the original dimensions and the new dimensions are known, the scale factor may be determined. The following is a basic formula to determine a figure's scale factor: Scale factor is equal to the difference between the dimensions of the old and new shapes.
Here, we have
Given: The scale drawing of a building has a height of 10 centimeters. The actual building is 20 feet high.
we have to find how many centimeters in the scale drawing represent one foot on the actual building.
The answer will be 1/2 because 1 centimeter is equal to 2 feet in reality. But since we want to know the answer of how many centimeters is in 1 foot, we will divide that in half, to get an answer of 1/2 centimeter.
Hence, 1/2cm in the scale drawing represents one foot on the actual building.
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Write an equation of the line in slope-intercept form. (3, 3)
(0, 2)
Answers
Answer:
Step-by-step explanation:
3-2 change in y = 1
3-0 change in x= 3
y=1/3x+ c
Pls help asap RSM QUESTION!!!
Answers
F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answers
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
Evaluate the expression below if m = 350.
3.5m =
Answers
Answer:
1,225
Step-by-step explanation:
3.5×350=1225
its saying m is 350 and the question is asking 3.5 times 350
In polnt-slope form for the line that passes Through (-2,-4) and (2,8)
Answers
Answer:
y+4=3(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-(-4))/(2-(-2))
m=(8+4)/(2+2)
m=12/4
m=3
y-y1=m(x-x1)
y-(-4)=3(x-(-2))
y+4=3(x+2)
a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm
Answers
Answer:
A. 31 cm
Step-by-step explanation:
Hopefully its right :)
help i dont know this i have this test i have 30 min
Answers
Answer:
Step-by-step explanation:
The Value of Y is 3 MORE than X.
For example, Because the equation is x+3=y
x is any number on the top row,
y is any number on the bottom row,
Meaning 1 + 3 = 4 Because 1 is on the x row, and 4 is on the y row.
You find the number you want to try and do x+3=y
Anyway answer is at the top.
Question
Each of two bike shops charges a set fee plus an hourly rate for each rental. The cost of renting a bike from two shops is
shown in the table.
Hours Rented Shop A Cost ($) Shop B. Cost ($)
7
9
25
27
How many more dollars does Shop B charge per hour than Shop A? Do not include units in your answer.
Answers
Based on the information provided, it can be concluded that Shop B charges $1.08 more than shop A.
How much does each shop charge per hour?To calculate this, the formula that can be used is total cost/number of hours. Based on this, let's calculate the rate for each shop:
Shop A: 25/9 = 2.77 (rate per hour in shop A)
Shop B: 27/7 = 3.85 (rate per hour in shop B)
What is the difference in the rates?To know the differences, let's use subtraction:
3.85 - 2.77 = 1.08
Based on this, shop B charges $1.08 more than shop A.
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solve the system of equation without graphing and show your reasoning write the answer as (x,y)
5x+y=7
20x+2=y
Answers
The solution of given system of equations is (1/5, 6).
What is system of equation?
A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.
Given equations : 5x+y=7
20x+2=y
We can solve it by using substitution method:
Now, we have 5x+y=7
it can be written as,
y = 7 - 5x .... equation 1
Similarly, we have 20x+2=y
can be written as,
y = 20x+2 ..... equation 2
Subtracting equation 1 from equation 2
we get, 20x+2 - ( 7 - 5x ) = 0
20x + 5x + 2 - 7 = 0
25x = 5
x = 1/5
Putting x=1/5 in equation 1,
we get, y = 20 × 1/5 + 2
= 4 +2
= 6
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