The trigonometric ratios for this problem are given as follows:
sin(L) = y/x.cos(L) = z/x.tan(L) = y/z.What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.For the triangle, we have that:
x is the hypotenuse.z is the adjacent side to angle L.y is the opposite side to angle L.More can be learned about trigonometric ratios at brainly.com/question/24349828
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How to find the range with only the domain?
Answer:The average person walks past at least 16 murderers in their lifetime.
Step-by-step explanation:duhhhhhhhhhhh
A new youth activity center is being built in pagosa springs. The perimeter of the rectangular playing field is 328 yards. The length of the field is 4 yards less than double the width. What are the dimensions of the playing field?
Answer: Width: 56 yards, Length: 108 yards
Step-by-step explanation:
What we know:
- Perimeter is 328 yards
- The length is 4 less than double the width
In this answer, I will use w as the variable for width.
Find the equation for the length.
The length of the field is double the width, 2w, minus 4.
We get: 2w - 4
A rectangle has four sides, two for width, two for length. So now we need to add width to width and length to length
Length: (2w - 4) + (2w - 4) = 4w - 8
Width: w + w = 2w
To find perimeter, you need to add all sides. So now we add our length and width
4w - 8 + 2w = 6w - 8
Now that we have our final equation, we need to solve for w.
6w - 8 = 328
Add 8 to both sides.
6w - 8 + 8 = 328 + 8
Combine like terms.
6w = 336
Divide 6 from both sides.
w = 56
The width is 56, now that we have solved w, we can plug it into our length equation
2(56) - 4 = 108
The length is 108.
Answer: 56 yards x 108 yards (width x length)
To check your work, you can easily add up all the sides and see if it matches the perimeter given.
108 + 108 + 56 + 56 = 328
I hope this helped!
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
Which table shows values for the equation y=3x+2
?
Answer:
Answer is option D
Step-by-step explanation:
Hope this helps:)
PLEASE HELP ME FAST!!!
The volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches
Answer:
D. 16 in²Steps:
given:
V = 32 in³
h = 2
Ab = V/h
Ab = 32/2
Ab = 16 in²
Answer:
D. 16 square inches
Step-by-step explanation:
Hope this helps
need an answer for this
add (5y - 1)+ (-2y + 4)
Answer:
3y+3
Step-by-step explanation:
"Simplifying
(5y + -1) + (-2y + 4) = 0
Reorder the terms:
(-1 + 5y) + (-2y + 4) = 0
Remove parenthesis around (-1 + 5y)
-1 + 5y + (-2y + 4) = 0
Reorder the terms:
-1 + 5y + (4 + -2y) = 0
Remove parenthesis around (4 + -2y)
-1 + 5y + 4 + -2y = 0
Reorder the terms:
-1 + 4 + 5y + -2y = 0
Combine like terms: -1 + 4 = 3
3 + 5y + -2y = 0
Combine like terms: 5y + -2y = 3y
3 + 3y = 0
Solving
3 + 3y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 3y = 0 + -3
Combine like terms: 3 + -3 = 0
0 + 3y = 0 + -3
3y = 0 + -3
Combine like terms: 0 + -3 = -3
3y = -3
Divide each side by '3'.
y = -1
Simplifying
y = -1 "
Answer:
3y + 3
Step-by-step explanation:
(5y - 1) + (-2y + 4) =
3y + 3
Which statement best describes the relationship between x and y in the equation y = 6 + x? Algebraic Representations
Answer:
Step-by-step explanation:
Y is 6 more than x
y=6+x y is 6 more than x . Because
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
Answer:
To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:
A = (-3, 3 + 3) = (-3, 6)
B = (0, 7 + 3) = (0, 10)
C = (-3, 0 + 3) = (-3, 3)
Therefore, the coordinates of the vertices for the image triangle A'B'C' are A(-3, 6), B'(0, 10), and C(-3, 3).
So the correct answer is: A(−3, 6), B(0, 10), C(−3, 3).
art sculpture composed of 3,880 craft sticks and 960 pieces of balsa wood. What is the ratio of craft sticks to balsa wood?
Answer:
3880 ÷ 960 = 4.041
ratio = 4:1
Yasmien wants to give her friends 3/4 of a banana cake in her birthday party .She was able to bake 12 banana cake.How many people can share the banana cake?
Answer:
She can share it with 9 people
Step-by-step explanation:
75% of 12 =9
50% of 12= 6
25% of 12= 3
which of the following functions represent the graph g(x) above
The function represented by the graph given is equivalent to -
g(x) = (x - 4)².
The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -
f(x, y) → f(x - 4, y)
So, we can write the function as -
g(x) = (x - 4)²
So, the function represented by the graph given is equivalent to -
g(x) = (x - 4)²
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A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
Dertermine the quotient of 3/7 divided by 2/3 pls help
Answer: 9/14
Step-by-step explanation:
hope this helps!
Pedro’s salary was increase by 5.2% after the increase, his salary was £28141 work out his salary before the increase
Answer:
£26750
Step-by-step explanation:
x = salary before the increase
x + x(1.052) = 28141
1.052x = 28141
x = 28141/1.052 = 26750
This means he got a £1391 raise
1. Write the angles in order from smallest to largest
45
40.5
R
P
57
Hello!! :D
Answer: 40.5, 45, 57
Hope this helps! Have a wonderful day! :D
-2/3c-9/5+14c+3/10 please help so confused!
Answer:1 4
Step-by-step explanation:
araceli renta un local rectangular de 4.2 metros de frente y 7.3 metros de largo para su panaderia, ¿cuantos metros cuadrados tiene el local que rento?
The number of square meters that the space that Araceli rents is, is 30. 66 square meters.
How to find the area ?The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.
The given width is 4. 2 meters and the length is 7. 3 meters.
The area of the space in square meters is therefore :
Area = Length × Width
Area = 7. 3 meters × 4. 2 meters
Area = 30. 66 square meters
In conclusion, the space that Araceli rents has an area of 30. 66 square meters.
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whats 56-123x + 78 when x = 3
I want someone to try to diss me
Answer:
56-123x+78 = -235
Step-by-step explanation:
too lazy for a diss.
56-123(3)+78
56-369+78
-313+78
-235
(could be wrong)
Answer:
-235
Step-by-step explanation:
56 - 123(3) =
56 - 369 = -313
-313 + 78 = -235
MEH SORRY AGAIN
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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What is 3 p +2 ( 5p - 3 )
Answer:
15p + -6
Step-by-step explanation:
4.
A principal estimated that 100 students attended the school's play. Select
all of the statements that could represent this estimate.
65% of 150 students
24% of 394 students
52% of 140 students
78% of 211 students
the jacket is
Answer:
Step-by-step explanation:
The statement "65% of 150 students" could represent the estimate that 100 students attended the school's play.
To see this, we can calculate 65% of 150:
0.65 x 150 = 97.5
Since 97.5 is close to 100, it is possible that the estimate was based on 65% of 150 students.
The other statements do not come close to 100, so they are not likely to represent the estimate that 100 students attended the school's play.
36 divided by m over x times 9
Answer:
Step-by-step explanation:
4/mx
PLEASE HELP A cylinder with radius 6 feet and height 6 feet has its radius doubled. How many times greater is the volume of the larger cylinder than the smaller cylinder? How many times greater is the volume of the larger cylinder than the smaller cylinder?
Answer:
16 Times Greater
Step-by-step explanation:
Smaller cylinder:
radius = 6 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)6^2(8)
radius = 24 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)24^2(8)
.
[(3.14)6^2(8)] / [(3.14)24^2(8)]
[6^2(8)] / [24^2(8)]
[6^2] / [24^2]
[36] / [576]
16 times greater
Answer:
Step-by-step explanation:
Smaller cylinder:
h = 6 ft
r = 6 ft
Volume of smaller cylinder = πr²h
= π * 6 * 6 * 6 cubic ft
Bigger cylinder:
r = 6 * 2 = 12 ft
h = 6 ft
Volume of bigger cylinder = π * 12 * 12 * 6 cubic ft
Volume of bigger cylinder = π * 12 * 12 * 6
Volume of smaller cylinder π * 6 * 6 * 6
= \(\frac{2 * 2}{1*1}\\\)
= 4 : 1
The volume of greater cylinder is 4 times than the smaller cylinder.
The distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 miles. Assuming that the distribution of lifetimes is approximately normally distributed and rounding your answers to the nearest thousandth, find the probability that a randomly selected tire lasts: A) Between 55,000 and 65,000 miles B) Less than 48,000 miles C) At least 41,000 miles D) A lifetime that is within 10,000 miles of the mean
Answer:
a) 0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.
b) 0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.
c) 0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.
d) 0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean
Step-by-step explanation:
Problems of normally distributed distributions are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 51200, \sigma = 8200\)
Probabilities:
A) Between 55,000 and 65,000 miles
This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 55000. So
X = 65000
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{65000 - 51200}{8200}\)
\(Z = 1.68\)
\(Z = 1.68\) has a pvalue of 0.954
X = 55000
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{55000 - 51200}{8200}\)
\(Z = 0.46\)
\(Z = 0.46\) has a pvalue of 0.677
0.954 - 0.677 = 0.277
0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.
B) Less than 48,000 miles
This is the pvalue of Z when X = 48000. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{48000 - 51200}{8200}\)
\(Z = -0.39\)
\(Z = -0.39\) has a pvalue of 0.348
0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.
C) At least 41,000 miles
This is 1 subtracted by the pvalue of Z when X = 41,000. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{41000 - 51200}{8200}\)
\(Z = -1.24\)
\(Z = -1.24\) has a pvalue of 0.108
1 - 0.108 = 0.892
0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.
D) A lifetime that is within 10,000 miles of the mean
This is the pvalue of Z when X = 51200 + 10000 = 61200 subtracted by the pvalue of Z when X = 51200 - 10000 = 412000. So
X = 61200
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{61200 - 51200}{8200}\)
\(Z = 1.22\)
\(Z = 1.22\) has a pvalue of 0.889
X = 41200
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{41200 - 51200}{8200}\)
\(Z = -1.22\)
\(Z = -1.22\) has a pvalue of 0.111
0.889 - 0.111 = 0.778
0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean
DON'T SOLVE IT
I know the answer. I just need to know the TOPIC in geometry.
What is the topic???
Answer:
Triangles in Geometry
Step-by-step explanation:
A bank loaned out $30,500, part of it at the rate of 5% annual interest, and the rest at 4% annual interest. The total interest earned for both loans was $1,405.00. How much was loaned at each rate?
$What was loaned at 5% and
$ What was loaned at 4%.
Step-by-step explanation:
Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:
.04(x) + .09(17500 - x) = 1100
Multiply the .09 times the inside of the parentheses:
.04x + 1575 - .09x = 1100
Simplify:
-.05x + 1575 = 1100
-.05x = -475
x = 9500
Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.
To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.
I hope this helps!
Threefourths of the fudge at the fudge shop on Monday morning contain nuts. Helena works at the fudge shop and prepares 12 3/4 pounds of fudge containing walnuts to fulfill a special order Monday afternoon. With this 29 5/8 pounds of fudge containing nuts at the fudge shop on additional amount of fudge, there are at least Monday (a) Write an inequality that represents the scenario. Begin by defining your variable (b) Solve the inequality Show your work . (C) Fudge is packaged into 1-pound boxels. What is the fewest number of boxes of fudge at the fudge shop Monday morning?
Answer:Threefourths of the fudge at the fudge shop on Monday morning contain nuts. Helena works at the fudge shop and prepares 12 3/4 pounds of fudge containing walnuts to fulfill a special order Monday afternoon. With this 29 5/8 pounds of fudge containing nuts at the fudge shop on additional amount of fudge, there are at least Monday (a) Write an inequality that represents the scenario. Begin by defining your variable (b) Solve the inequality Show your work . (C) Fudge is packaged into 1-pound boxels. What is the fewest number of boxes of fudge at the fudge shop Monday morning?
Step-by-step explanation:
12 3/4 pounds of fudge containing walnuts to fulfill a special order Monday afternoon. With this 29 5/8