Solve for θ if sinθ = 0.45. Round answer to the nearest degree.
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Related Questions
If guy walks from his house to school and back,how far does he walk?
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I hope this helped! :-)
Final answer:
The total distance walked by someone from home to school and back depends on the distance covered in each direction, for example, if a person walks 2 kilometers to school and 2 kilometers back, the total distance walked is 4 kilometers.
Explanation:
The total distance walked by the guy from his house to school and back depends on the exact distance he covers in each direction. If he walks 2 kilometers to school and 2 kilometers back, then the total distance walked would be 4 kilometers.
Select the graph that represents the following: -5
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A particular fruit's weights are normally distributed, with a mean of 611 grams and a standard deviation of 28 grams. The heaviest 2% of fruits weigh more than how many grams? Give your answer to the nearest gram.
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When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 less than x. What is the value of x?
can someone help me i am confused
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expand the rhs to get
2x+8 = 8x-40
now we minus 2x and add 40 to make one side without the unknown and the other with the unknown. you have
48 = 6x
x = 48/6
= 8
Answer:
It is 8
Step-by-step explanation:
If 8 cakes cost £4.00 how much would 3 cakes cost?
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To calculate how much 3 cakes would cost, we must first find the cost of each individual cake.
To do this, we must divide the cost of 8 cakes by 8 cakes.
4.00 ÷ 8 = 0.5
This means that each individual cake costs $0.50. Multiply this by 3 to find the cost of 3 cakes.
0.50 × 3 = 1.50
Therefore, 3 cakes would cost $1.50.
1) Simplify x + 2x by adding the like terms.
x
2x
3x
2) Simplify y - y + y + y by adding the like terms.2y
3y
4y
5y 4x
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2)2y
hope this helps you!
Can someone help my sister Kathy with this
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I hope this helped! :-)
X over five equals three over four
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Hope this helps :)
Final answer:
The equation 'x over five equals three over four' is solved by cross-multiplying to get 4x = 15, and then dividing both sides by four to find x = 3.75.
Explanation:
The equation presented by the student 'x over five equals three over four' translates to the algebraic equation x/5 = 3/4. Solving this involves finding the value of x that makes the equation true. To solve for x, we can cross-multiply to get 4x = 15, and then divide both sides of the equation by four to isolate x, giving us x = 15/4 or x = 3.75. Thus, the solution to the equation x/5 = 3/4 is x = 3.75.
a 25000 gallon swimming pool is being filled. Two hundred and fifty gallons are in it after 30 minutes. How many hours will it take to fill the pool?
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In 30 minutes, 250 gallons are filled in the swimming pool. In the same rate in 1 hours (which means 60 minutes), 500 gallons will be filled.
Let x be the number of hours it will take to fill the entire swimming pool which has the capacity of 25,000 gallons.
We need to set up a proportion like given below:
[tex] \frac{Number \; of \; Hours }{Amount \; of\; water \; in\; gallons} =\frac{x}{25,000} =\frac{1}{500} [/tex]
Solving the equation for x:
[tex] \frac{x}{25000} =\frac{1}{500} \\ Multiply \; 25000\; on\; both\; sides\; of\; the \; equation\\ \\ 25000 \times \frac{x}{25000} =\frac{1}{500} \times 25000\\ Simplify \; on \; both \; sides\\ \\ x \; = \; \frac{25000}{500} \; = 50 \; hours [/tex]
Conclusion:
The number of hours that will take to fill the pool is 50 hours !
what value of c makes the statement true? -2x^3(cx^3+x^2)=-10x^6- 2x^5
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-2x^3(5x^3+x^2)= -10x^6 - 2x^5
answer
c = 5
19 tens + 11 tens equal
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11 tens is equal to 11 · 10, which equals 110.
190 + 110 = 300.
So, 19 tens + 11 tens is equal to 300 (or 30 tens).
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep. What is the volume of the box ?
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Answer:
The volume of the box is 0.09375 inches cube.
Step-by-step explanation:
Given : This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
To find : What is the volume of the box ?
Solution :
The dimension of the box is,
Length = [tex]l=\frac{3}{4}[/tex] inches
Breadth = [tex]b=\frac{1}{2}[/tex] inches
Height = [tex]h=\frac{1}{4}[/tex] inches
The formula of volume of the box is
[tex]V=l\times b\times h[/tex]
[tex]V=\frac{3}{4}\times \frac{1}{2}\times\frac{1}{4}[/tex]
[tex]V=\frac{3}{4\times 2\times 4}[/tex]
[tex]V=\frac{3}{32}[/tex]
[tex]V=0.09375in^3[/tex]
Therefore, The volume of the box is 0.09375 inches cube.
The volume of the box is 3/32 cubic inches.
Given
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
The volume of the box;The volume of the box is given by-product of length, width, and height.
The volume of the box is determined by the following formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length[/tex]
Substitute all the values in the formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length\\\\\rm Volume \ of \ box =\dfrac{3}{4}\times \dfrac{1}{2} \times \dfrac{1}{4}\\\\\rm Volume \ of \ box =\dfrac{3}{32} \ cubic \ inches[/tex]
Hence, the volume of the box is 3/32 cubic inches.
To know more about the Volume of the box click the link given below.
https://brainly.com/question/13749063
Algebra problem #1 help (pic included)
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16 - 4 (0)(-6)
= 16 - 0 (-6)
= 16
16 would be the answer.
Hope this helps!
if you vertically compress the absolute value parent function f(x)=|x| by a factor of 3 what is the equation of the new function
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Answer:
The equation for new function is [tex]y=\frac{1}{3}|x|[/tex]
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is [tex]y=\frac{1}{3}|x|[/tex]
Answer:
g(x) = 1/3 |x| !
Step-by-step explanation:
I hope this helps!
Can someone please answer this question here are the answers to the question:
A. 1,209 square feet
B. 1,298 square feet
C. 869 square feet
D. 699 square feet
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------------------------------------------------------
Work Shown:
Area of Rectangle on the Left = length*width = c*d = 24*20 = 480
Area of Rectangle in the center = length*width = c*b = 24*10 = 240
Area of Rectangle on the Right = length*width = c*e = 24*17 = 408
Area of top triangle = (base*height)/2 = b*a/2 = 10*17/2 = 170/2 = 85
Area of bottom triangle = (base*height)/2 = b*a/2 = 10*17/2 = 170/2 = 85
Add up the individual areas to get:
480+240+408+85+85 = 1298
The units are in square feet since this is dealing with area.
A scooter can travel 72 mi per gallon of gasoline and holds 2.3 gal. the function d(x)-72x represents the distance d(x), in miles, that the scooter can travel with x gallons of gasoline. How many miles can the scooter go with a full tank of gas ?
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beer Bottles are filled so that they contain an average of 475 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 8 ml.
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We use the normal distribution density function f(z) to find the probability of a specific range of values.
Z= ((X-μ)/σ)
μ = 475
σ = 8
a) X< 470 ml
P[X<470] = P[Z<(470-475)/8] = P[Z<(470-475)/8] = P[Z<-0.625] = 0.2659
b) 6 pack with a mean of less than 470ml
Z = ((X-μ)/(σ/√n))
Z = (470-475)/(8/√6)
P [Z<-1.53] = 0.063
c) 12 pack with a mean of less than 470ml
Z = ((X-μ)/(σ/√n))
Z = (470-475)/(8/√12)
P [Z<-2.165] = 0.0152
Final answer:
The question is related to the mathematics subject area and addresses the high school grade level. It involves understanding the normal distribution, mean, standard deviation, and the application of these concepts in quality control and filling volumes for beverage containers.
Explanation:
The subject of the question relates to the concept of normal distribution, which is a fundamental concept in statistics, a branch of mathematics. The student is provided with the information that beer bottles are filled so that they contain an average of 475 ml of beer, with the amount of beer being normally distributed and having a standard deviation of 8 ml. This scenario involves understanding concepts like mean, standard deviation, and the properties of a normal distribution.
To visualize similar quantities, consider that an eyedropper holds about 1 milliliter, a juice box holds about 25 centiliters (or 250 milliliters), and a soda bottle holds about 1 liter. The provided beer bottle contains roughly half the amount of a typical soda bottle. Knowledge of standard units such as liters and milliliters is essential in this context.
Furthermore, the question can be connected with practical scenarios such as the filling volumes for beverage containers, where manufacturers need to ensure that the bottles and cans contain the labeled amount of liquid. Quality control relies on statistics to test whether the actual amounts meet the desired standards, factoring in variations from measurement processes or filling mechanisms.
Graph the set of points. Which model is most appropriate for the set? (-2, 10), (-1,1), (0, -2), (1, 1), (2, 10)
Quadratic
Quadratic
Liner
Exponential
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it's quadratic
Answer:
The model that is most appropriate for the set is:
Quadratic.
Step-by-step explanation:
Clearly after looking at the graph of the function which is made from the given set of points ; we observe that the graph is similar to a graph of the quadratic function whose vertex is at (0,-2) and also the line x=0 is the axis of symmetry of the graph.
Since, the graph is symmetric to this line.
Hence, the model is:
Quadratic.
3 and 1/3x + 5.3 = -2. What is x?
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3 1/3x + 5.3 = -2
subtract 5.3 from both sides
3 1/3x = -7.3
write the mixed number as an improper fraction
10/3x = -7.3
rewrite
10x/3 = -7.3
multiply both sides by 3
10x = -21.9
divide both sides by 10
x = -2.19
To check:
3 1/3x + 5.3 = -2
3 1/3(-2.19) + 5.3 =?= -2
-7.3 + 5.3 =?= -2
-2 = -2
This proves that -2.19 is the answer
Hope this helps
Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints. If he spent a total of $23.65, what was the cost of the paints
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If we know he spent 23.65, we can do 23.65 - 17.70 = 5.95
So the paint must have cost $5.95.
Each pair of polygons is similar .Determine the transformation that maps one figure onto the other . Then find the missing side measures number 4 please
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Anna plants peas in 3/8 of her garden and herbs in 1/8 of it . She divides The rest of the garden into 6 sections. What fraction of the original garden is each section
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The six sections would be 1/12
A law firm has nine senior and six junior partners. A committee of three partners is selected at random to represent the firm at a conference. What is the probability that at least one of the junior partners is on the committee?
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what is the scale factor of 25ft by 75ft and 1:15
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We rewrite the expression:
25/75
We simplify the numerator and denominator:
25/75 = 5/15 = 1/5
The scale factor is:
k = 1/5
On the other hand:
For 1:15:
We rewrite the expression:
1/15
The scale factor is:
k = 1/15
which expression is equivalent to (5y+4) - 2 (7 - 2)
A. y-10
B. 9y+18
C.3y - 10
D. 9y-10
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What is the area of this figure?
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Knowing the base and the height, the area of the parallelogram is calculated by its formula:
A1 = b * h
Where
b: base
h: height.
We have then
b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
A1 = (6) * (1) = 6 units ^ 2
Rectangle area
A2 = L * W
Where
L: long
W: Wide
We have then:
L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
A2 = (3.16227766) * (6.32455532)
A2 = 20 units ^ 2
The total area is the sum of both ares:
A = A1 + A2
A = 6 + 20
A = 26 units ^ 2
Answer:
the area of this figure
A = 26 units ^ 2
1. A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. The cylinder has a diameter of 12 inches and a height of 14 inches. The cone has a height of 6 inches. What is the volume of the cake? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Show your work.
(Please show me how you get your answers)
I nEED HELP!
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1) The cylindrical part.
2) The cone of the tent.
Note: In order to find the total volume of the cake, we have to add the volumes of both of the above-mentioned part.
1.
The volume of the cylinder = [tex] \pi *r^{2}*h[/tex] --- (A)
We have the height = h = 14 inches.
Radius = r = Diameter / 2 = 12/2 = 6 inches.
and [tex]\pi [/tex]= 3.14
Put the above values in equation (A);
(A) => The volume of the cylinder = (3.14) * (6 x 6) * (14) = 1582.56 inches cubed
2.
The volume of the cone = [tex]\pi *r^{2}* \frac{h}{3} [/tex] --- (B)
Since the cake is in "circus tent" shape, therefore, the radius of the cone should be equal to the radius of the cylinder.
Radius of the cone = r = 6 inches.
Height of the cone = h = 6 inches.
and [tex]\pi [/tex]= 3.14
Put the above values in equation (B);
(B) => The volume of the cone = (3.14) * (6 x 6) * (6 / 3) = 226.08 inches cubed
The volume of the cake = Volume of the cylinder + Volume of the cone
[tex]V_{cake}[/tex] = 1582.56 + 226.08 = 1808.64 inches cubed
Ans: The volume of the cake = 1808.64 [tex]in^{3}[/tex]
-i
Caluculate the distance kris walks in 8 days if she walks 7/8 mile each day
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56 ÷ 8 = 7
Kris walked 7 miles in 8 days
7/8×8=42/8( you can reduce is needed)
What is the factor pairs of 78
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How do you convert a whole number to a percentage?
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3 = 3*100% = 300%
Final answer:
To convert a whole number to a percentage, multiply the number by 100 and add the percent symbol. For instance, converting the whole number 3 to a percentage results in 300%.
Explanation:
How to Convert a Whole Number to a Percentage
To convert a whole number to a percentage, you simply multiply the number by 100 and add the percent (%) symbol to the result. This is because a percentage represents a part per hundred. For example, to convert the whole number 3 to a percentage, you multiply it by 100, which equals 300%. Here's the step-by-step process:
Start with the whole number (e.g., 3).
Multiply the whole number by 100 (3 x 100 = 300).
Add the percent symbol to express the result as a percentage (300%).
This method is a straightforward percentage calculation, turning a whole number into its equivalent percentage form.