Answers
Answer:
22.3
Step-by-step explanation:
By the law of Sines, since angle XYZ is 90 degrees,
[tex]\frac{XZ}{\sin 90^{\circ}}=\frac{YZ}{\sin X} \\ \\ XZ=\frac{1}{0.0448} \\ \\ XZ \approx 22.3[/tex]
Related Questions
Write the equation for a parabola with a focus at (9,0) and a directrix at y=-4y
Answers
The required equation of parabola is y = (-1/4)(x-9)² +4
What is a Parabola ?
A parabola is a U shaped Curve , whose all point are at same distance from a point called as Focus and a line called as Directrix.
Let (x,y) be any point on the parabola.
the distance between (x,y) and the focus and the distance between (x,y) and directrix is equal.
The focus is at (9,0) and a directrix at y= - 4
[tex]\rm \sqrt {(x-9)^2 + (y -0)^2[/tex] = | y +4|
[tex]\rm {(x-9)^2 + (y -0)^2 = (y-4)^2[/tex]
(x-9)² + y² = y² +16 -4y
On solving this
4y = - (x-9)² +16
y = (-1/4)(x-9)² +4
Therefore this is the required equation of parabola .
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You withdraw $140 from your savings account. then you withdraw $49 more. using an integer, which number represents your balance?
Answers
The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.
Total rupees withdraw from saving account is $149
Let total amount in account before withdrawing is X= $500
Amount left after withdraw the money is calculated by a
AMOUNT LEFT = TOTAL AMOUNT - WITHDRAW AMOUNT
So, put the values then
Y= X($500) - $149
Y= $500 - $149
Y= $351
If we represent the balance of saving account in the integer form then it become the Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.
So, The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.
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AD= in
Help me please, stuck on this question. Thankss
Answers
Using the cosine ratio, the value of AD in the diagram is: 2√3π in.
How to Apply the Cosine Ratio?If we have the following given in a right triangle like triangle ADC in the diagram:
AC = 4π (hypotenuse)
AD = ? (adjacent side)
The cosine ratio, CAH would be applied, which is:
Cos 30 = adjacent/hypotenuse
Cos 30 = AD/4π
AD = cos 30 × 4π = √3/2 × 4π [cos 30 = √3/2]
AD = 2√3π in.
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George has opened a new store and he is monitoring its success closely. He has found that this store's revenue each month can be modeled by r(x) = x² + 5x + 14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x) = x² - 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r-c) (5) mean about George's new store?
A. the new store will sell 5400 items in its fifth month in business
B. The new store will have a profit of $5400 after its fifth month in business
C. The new store will have a profit of $900 after its fifth month in business
D. The new store will sell 900 items In its fifth month in business
Answers
Answer:
The new store will have a profit of $5400 after its fifth month.
(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9
(Use 5 for x)
(R-C)(5) = 9(5) + 9 = 45+9 = 54
Please help me with this questions. I am stuck on them. Whoever help I will mark brainlest.
Answers
The graph has been shifted to the left and moved up and stretched as scaling is done ,
What is Transformation ?Reflecting , Rotating , Dilating a function to form a new function is called Transformation.
The graph of the function f(x) = 1/ x is given
and a transformed function is given
The graph has been shifted to the left and moved up and stretched as scaling is done ,
Therefore three types of transformation are done on the parents function.
The transformation can be seen through the graph attached.
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What are the solutions to the equation x-7/x=6
Answers
Answer:
x=7 and x = 1
Step-by-step explanation:
This is pretty much a quadratic in disguise.
If we multiply both sides by x, we get:
x^2-7=6x
move 6x to the left
x^2-6x-7 = 0
We can either use the quadratic formula, or we can use factoring.
with factoring*, we get:
(x-7)(x+1) = 0 , and so the solution to the equation is x=7, and x=-1
*in a equation: x^2+ax+b = (x+c)(x+d), c+d equals a, and c*d equals b
On to the quadratic formula, a=1, b=-6, and c=-7, so:
(6±sqrt(36+4*7))/2 = x
=(6±8)/2
=3±4
x=7 and x = 1
To enroll in a 30 hour spanish class, students must pay $480.50. If the language center collected a total of $19,260, how many people enrolled in the Spanish class?
Answers
Answer:
40 people
Step-by-step explanation:
480.80 times 40 this equals 19,220
Is this graph a function ?
Please help
Answers
Answer:
Yes
Step-by-step explanation:
To find out whether or not a graph is a function, we can do the vertical line test. If the vertical line only touches one point, then the graph is a function. This is because in a function, an input can only have one output.
Help ASAP pls
Which of the following statements is true?
B
A
D
E
C
A. the segment BD bisects segment EC
B. segment AC is a perpendicular bisector
C. the segment DE is perpendicular to segment AC
D. the segment BD should be parallel to segment AE
Answers
the segment DE is perpendicular to segment AC
==========================================================
Explanation:
The tiny square marker indicates we have a 90 degree angle, which in turn means the two segments DE and AC are perpendicular.
Furthermore, DE is a perpendicular bisector of AC because AC is broken into two equal pieces (AE and EC). The term "bisect" means "split in equal halves". We know that AE = EC due to the small tickmarks on each mentioned segment.
Choice B states "AC is a perpendicular bisector". This is incorrect because AC does not split any segments into two equal pieces. If choice B said "DE is a perpendicular bisector", then it would be correct.
The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 30 meters. Find the length and width of the rectangle.
Answers
The length of the rectangle is 8m and width of the rectangle is 7m
The perimeter of a rectangle is the total length around the outside of rectangle. The total boundary of the rectangle is its perimeter If length of the rectangle is l and breadth of the rectangle is b, then perimeter ofvthe rectangle is given by P = 2 (l+b)Given that the length and width of a rectangle are consecutive integers
Let the length of the rectangle be x+1 meter
Let the breadth of the rectangle be x meter
Also given that perimeter of the rectangle is 30 meters
To find length and breadth of the rectangle
We know that perimeter of the rectangle is P = 2 (l+b)
30 = 2 (x+x+1)
15 = 2x + 1
2x = 14
x = 7
x+1 = 8
Hence, the length of the rectangle is 8m and width of the rectangle is 7m
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Use the law of sines to find the length of side c
Answers
Answer:
B. 44.93
Step-by-step explanation:
The law of sines states
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
where a, b and c are the 3 sides of the triangle and A is the angle opposite side a, B the angle opposite side b and C the angle opposite side c
In this particular problem we have
side a = 44, angle A = 46.7
side c = ? , angle C = 48
So 44/sin(46.7) = c/sin(48) or by multiplying both sides by sin(48)
c = sin(48) * 44/sin(46.7) = 44.92937 which is 44.93 rounded to 2 decimal places
A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.
f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).
Answers
The true statements about the function are:
f(x) ≤ 0 over the interval [0, 2].f(x)>0 over the interval (-2,0)f(x) ≥ 0 over the interval [2,∞)How to determine the true statement?The table of values is given as:
x f(x)
-3 -15
-2 0
-1 3
0 0
1 -3
2 0
3 15
From the table, the function values do not exceed 0 at the interval 0 to 2.
This means that f(x) ≤ 0 over the interval [0, 2].
Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0
This means that f(x)>0 over the interval (-2,0)
Also from the table, the function values are at least 0 at the intervals greater than 2
This means that f(x) ≥ 0 over the interval [2,∞)
Hence, the true statements are (b), (d) and (e)
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Answer:
The answers are B, C, and D
Step-by-step explanation:
Edge 2023
Find the first four terms of the sequence given by the following. an=6 x (-4)^n-1, n= 1, 2, 3...
Answers
The first four terms of the sequence are 6, -24, 96 and -384
How to determine the first four terms?
The sequence is given as:
an=6(-4)^n-1
When n = 1, we have:
a(1)=6(-4)^(1-1)
This gives
a(1) = 6
When n = 2, we have:
a(2)=6(-4)^(2-1)
This gives
a(2) = -24
When n = 3, we have:
a(3)=6(-4)^(3-1)
This gives
a(3)=96
When n = 4, we have:
a(4)=6(-4)^(4-1)
This gives
a(4)=-384
Hence, the first four terms of the sequence are 6, -24, 96 and -384
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Which graph represents the function f (x) = StartFraction 3 x minus 2 Over x minus 2 EndFraction?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = negative 2, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.
Answers
The graph which represents the rational function is; On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.
Which graph represents the rational function?It follows from the task content that the rational function given is; f(x) = 3x-2/x-2.
Hence, since the numerator and denominator polynomials are of the same order, it follows that the horizontal asymptote is the quotient; 3/1 = 3.
Additionally, the vertical asymptote of the function is the value of x which renders the denominator equal to 0 and consequently, the function undefined.
Hence, x -2 = 0 and x= 2.
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Answer: THE PERSON ABOVE IS CORRECT!!
The answer is D.) On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.
Two mechanics worked on a car. the first mechanic worked 10 hours the second mechanic worked for 15 hours together
Answers
The rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.
Given mechanic first worked 20 hours and mechanic second worked 15 hours and they charged $1650. The sum of rates of first mechanic and second mechanic is $95 per hour.
let the rate charged by first mechanic be x .
let the rate charged by second mechanic be y.
According to question
x +y=95-----------1
20x+15y=1650----------2
Multiply equation 1 by 20 and subtract equation 2 from 1.
20x+20y-20x-15y=1900-1650
5y=250
y=50
put the value of y=50 in 1 to get the value of x.
x +y=95
x+50=95
x=95-50
x=45
Hence the rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.
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Question is incomplete as it should be as under:
Two mechanics worked on a car, the first mechanic worked 20 hrs. and the second mechanic worked 15 hours together. They charged a total of $ 1650. What is the rate charged per hour for each mechanic if the sum of the two rates per hour was $95 per hour?
Hamza buys a car for £900 and sells it for £1,280. Write the sale price as a percentage of the original price. Give your answer to the nearest whole percent and include the % symbol.
Answers
The sale price of the car as a percentage of the original price is 142%
PercentageCost of buying = £900Cost of selling = £1,280Sale price as a percentage of the original price = sale price / buying price
= 1280/900 × 100
= 1.42222222222222 × 100
= 142.22%
Approximately,
142%
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1. If f={(-1,6), (0,3), (2,9), (6,10)} and g={(0,2), (3,7), (12,3)}, what is (fog)(0)?
(a) 9
(b) 3
(c) 2
(d) 7
Answers
Answer: 9
Step-by-step explanation:
[tex](f \circ g)(0)=f(g(0))\\\\g(0)=2\\\\\implies f(g(0))=f(2)=\boxed{9}[/tex]
What values of a and b make this equation true?
Answers
Answer:
a = -4
b=-29
Step-by-step explanation:
Complex number:First write the radicals in simplest form.
i² = -1
[tex]\sf (4 + \sqrt{-49}) -2\left(\sqrt{(-4)^2}+\sqrt{-324}\right)=4 + \sqrt{49i^2} - 2\left(\\\sqrt{16}+\sqrt{324i^2}\right)[/tex]
[tex]\sf =4 + \sqrt{7*7*i*i}-2\left(\sqrt{4*4}+\sqrt{18*18*i*i}\right)\\\\= 4 + 7i - 2(4 + 18i)\\\\= 4 + 7i - 2*4 - 2*18i\\\\= 4 + 7i -8-36i\\\\= 4 - 8 +7i - 36i\\\\= -4 - 29i[/tex]
[tex]\sf \boxed{a = -4 }\\\\\boxed{b=-29}[/tex]
When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? does the result suggest that a sample proportion is an unbiased estimator of a population proportion? for the entire population, assume the probability of having a boy is , the probability of having a girl is , and this is not affected by how many boys or girls have previously been born.
Answers
The probability illustrates that the mean of the sample proportions equal the proportion of girls in two births.
How to calculate the probability?The table that describes the sampling distribution of the sample proportion of girls from two births will be:
Girls Probability
0. 0.25
0.5. 0.5
1. 0.25
The mean of the sample proportions equal the proportion of girls in two births. This is illustrated as 1/2.
Also, the result suggest that the sample proportion is an unbiased estimator big the population proportion because rye sample proportion and population proportion are not the same.
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Can someone help me?
Alex and Bobby are in the woods and are standing 240
yards apart.. Both boys spot a plane with angles of
elevation of 40 degrees and 45 degrees respectively. How
far from the plane is Bobby? Round to the nearest tenth of
a yard. Enter a number answer only.
Answers
The distance from Bobby to the plane is 154.7 yards.
How to find the distance of the plane to Bobby using angle of elevation?Sine law can be used to find the distance of the plane to Bobby.
Therefore,
x / sin 40 = 240 / sin 95
cross multiply
Hence,
x sin 95 = 240 sin 40
divide both sides by sin 95
x = 240 sin 40 / sin 95
x = 240 × 0.64278760968 / 0.99619469809
x = 154.08 / 0.9961
x = 154.683264732
x = 154.7 yards
Therefore, the distance from Bobby to the plane is 154.7 yards.
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Is it possible to have a polygon whose sum of the interior angles is 850 degrees
Answers
Answer: No
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is given by [tex]180(n-2)[/tex]. Setting this equal to 850 degrees,
[tex]180(n-2)=850\\\\n-2=\frac{85}{18}\\\\n=\frac{121}{18}[/tex]
Since this gives n to be a non-integer value, this is an impossible situation since a polygon must have an integer number of side lengths.
Write a formula that will help Eli determine
how much money he will earn in one week.
Let's let
a = total amount earned
h = hours worked in one week
n = number of items repaired
b = bonus amount for each item
Use the curved parenthese '()', if required.
Do not use other parentheses like '{}' or '[]'.
Answers
The formula that will help eli determine how much money he will earn in one week is a = 9h + nb
FormulaLet
a = total amount earnedh = hours worked in one weekn = number of items repairedb = bonus amount for each itemAmount earned per hour = $9a = (9 × h) + (n × b)
a = 9h + nb
Complete question:
Eli works in an electronics repair shop. he earns 9 dollars an hour plus a bonus for each item her repairs.
write a formula that will help eli determine how much money he will earn in one week
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three pieces of piping are needed on construction site. The second piece needs to be 2m longer than the first, and the third piece needs to be 7m longer than the first, the combined length of the piping is 72m. Determine the lengths of the three pieces of pipe
Answers
Step-by-step explanation:
x + 2x + 7x
72 = 9x
72 - 9 = x
63 = x
63 ÷ 3 = 21
piece 1 = 21
piece 2 =21+2 = 23
piece 3 =21+7 = 28
21+23+28 = 72 This proves the above is correct.
An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than 13 pounds. A consumer activist decides to test the authenticity of the claim. She follows the progress of 30 women who recently joined the weight-reduction program. She calculates the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds. The test statistic for this hypothesis would be __________.
Answers
The test statistic for the hypothesis would be 1.413.
Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.
The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.
Hypothesis:
Null hypothesis:H₀:μ=13
Alternative hypothesis:Hₐ:μ>13
Here, μ be the mean weight loss of all participants.
n=30,
Degree of freedom n-1=30-1=29
[tex]\bar{x}[/tex]=13.8 and s=3.1
To test the null hypothesis H₀, the value of test static would be calculated as follows:
[tex]\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end[/tex]
Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.
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These triangles
are congruent by
the triangle
congruence
postulate [ ? ]
A. SSS
B. SAS
C. Neither, they are not congruent
Answers
Answer:
ksb said did bud did did it did did gc victory in suf did did zudbxudng jc fn facing did fjgduf bdyrut during their fyrhfb hi f f7djdufj fhdf. Is A
Triangle QRS is dilated according to the rule DO,2 (x,y).
On a coordinate plane, (0, 0) is the center of dilation. Triangle Q R S has points (negative 3, 3), (2, 4), and (negative 1, 1).
What is true about the image ΔQ'R'S'? Select three options.
Which statements are true?
DO,2 (x,y) = (2x, 2y)
Side Q'S' lies on a line with a slope of -1.
QR is longer than Q'R'.
The vertices of the image are closer to the origin than those of the pre-image.
The distance from Q' to the origin is twice the distance from Q to the ori
Answers
The correct options about the dilation are; Options A, B and E
How to interpret Dilated Objects?
From the given information, find attached a dilated image.
The scale factor is 2
QRS → Q'R'S' = (x,y) → 2(x,y)
The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)
To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.
2(x, y) = (2x, 2y)
The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)
To determine the statements that are true about the image ΔQ'R'S,
Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.
A) DO, 2 (x, y) = (2x, 2y)
A dilation about the origin with a scale factor 2 is described using the above notation.
Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)
R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)
S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)
Thus Option A is correct.
B) Side Q'S' lies on a line with a slope of -1
Q' (-6, 6)
S' (-2, 2)
coordinate (x, y)
Slope = m = (change in y)/(change in x)
m = (6-2)/[-6-(-2)]
m = 4/(-6+2) = 4/-4
m = -1
Option B is correct
c) QR is longer than Q'R'
Length of QR (-3 to 2) = 5
Length of Q'R' (-6 to 4) = 10
QR is not longer than Q'R'
Option C is false
d) The vertices of the image are closer to the origin than those of the pre-image.
From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.
Option D is False
e) The distance from Q' to the origin is twice the distance from Q to the origin.
The distance from Q' to the origin (6 to 0) = 6
The distance from Q to the origin (3 to 0) = 3
The distance from Q' to the origin = 2(the distance from Q to the origin)
Option E is correct.
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Jake packed 12 jars of paint in a wooden tool box. Each jar and its contents weigh 10 ounces. The empty box weighs 1 pound 14 ounces. What is the total weight of the packed box
Answers
The total weight of the packed box is 9 lb 6 oz
According to question:
The weight of 12 jars is 12 times the weight of one jar
The weight of jars and box together is the sum of those weights.
... 12 × (10 oz) + 1 lb + 14 oz = 1 lb + 134 oz
... = 1 lb + 8 × (16 oz) + 6 oz . . . . . . 1 lb = 16 oz
... = 9 lb 6 oz
How to convert Ounces to Pounds?1 ounce (oz) is equal to 0.0625 pounds (lb).
1 oz = (1/16) lb = 0.0625 lb
The mass m in pounds (lb) is equal to the mass m in ounces (oz) divided by 16:
m(lb) = m(oz) / 16
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Find the volume of the prism.
Answers
Answer:
V = 343
Step-by-step explanation:
V = lwh
= 7(7)(7)
= 49(7)
= 343
x/4+7=27 what is x? how do i find x if it is in a fraction?
Answers
Answer:
x=80
Step-by-step explanation:
So normally when x is in the numerator, you multiply both sides of the equation by whatever the denominator is to cancel out the fraction. But in this case since you don't have the fraction alone, you normally want to isolate it first So let's do that
Original equation:
[tex]\frac{x}{4}+7=27[/tex]
Subtract 7 from both sides
[tex]\frac{x}{4}=20[/tex]
Multiply both sides by 4 to cancel out the denominator:
[tex]x=80[/tex]
Mel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hours she has to work to have enough to buy the shoes is given by the inequality 10x + 45 > 120, where x is the number of hours she works.
The fewest number of hours she has to work to buy the shoes is
Answers
Step-by-step explanation:
[tex]10x+45 > 120\\10x+45-45 > 120-45\\10x > 75\\\frac{10x}{10} > \frac{75}{10} \\x > 7.5[/tex]
Therefore, Mel has to work at least 7.5 hours or 8 total hours.