analyze the diagram below and complete instructions that follow find the value of x in the value of y
Answers
Answer:
The values are [tex]x=2\sqrt{2}[/tex] and [tex]y=2\sqrt{6}[/tex].
Step-by-step explanation:
A right triangle is a type of triangle that has one angle that measures 90°.
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
[tex]\sin(\theta)=\frac{opposite \:site}{hypotenuse}[/tex]
To find the value of x we use the above definition. From the diagram we can see that the angle is 30º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,
[tex]\sin(30)=\frac{x}{4\sqrt{2} }\\\\\frac{x}{4\sqrt{2}}=\sin \left(30^{\circ \:}\right)\\\\\frac{8x}{4\sqrt{2}}=8\sin \left(30^{\circ \:}\right)\\\\\sqrt{2}x=4\\\\\frac{\sqrt{2}x}{\sqrt{2}}=\frac{4}{\sqrt{2}}\\\\x=2\sqrt{2}[/tex]
To find the value of y we use the above definition. From the diagram we can see that the angle is 60º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,
[tex]\sin(60)=\frac{y}{4\sqrt{2} }\\\\\frac{y}{4\sqrt{2}}=\sin \left(60^{\circ \:}\right)\\\\\frac{8y}{4\sqrt{2}}=8\sin \left(60^{\circ \:}\right)\\\\\sqrt{2}y=4\sqrt{3}\\\\\frac{\sqrt{2}y}{\sqrt{2}}=\frac{4\sqrt{3}}{\sqrt{2}}\\\\y=2\sqrt{6}[/tex]
Answer:
C.
Step-by-step explanation:
trust me its correct on EDGE2021
Related Questions
If 5+20-22-3x = 10-2-2x + 5, what is the value of x?
-3
-2
2
3
Answers
Answer: 3
Step-by-step explanation: edge (other girl is obviously challenged if she didn’t see the possible answers...)
Find the constant of proportionality k. Then write an equation for the relationship between x and y.
Answers
Answer:
k= 5
Equation is: y=5x
The drama club at Del Rosa Middle School is having a production.
Tickets cost $3 for students and $5 for adults. A total of 500 tickets
were sold, bringing in $1860. How many of each kind of ticket was
sold?
Answers
Answer:
320 Student Tickets
180 Adult Tickets
Step-by-step explanation:
You can solve this problem by using system of equations. First, we need to figure out our equations.
Equation 1: x as students and y as adults
[tex]x+y=500[/tex]
We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.
Equation 2:
[tex]3x+5y=1850[/tex]
We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.
Now that we have out equations, we can use system of equations to find our students and adults.
[tex]x+y=500[/tex]
[tex]3x+5y=1860[/tex]
Typically elimination is the easiest strategy because you are able to cross out variables.
[tex]3(x+y=500)[/tex]
[tex]3x+5y=1860[/tex]
Becomes:
[tex]3x+3y=1500[/tex]
[tex]3x+5y=1860[/tex]
We see that both equations now have 3x. We can cancel out 3x.
[tex]-2y=-360[/tex]
[tex]y=180[/tex]
Now that we know y=180, we can plug it back into one of our equations to find x.
[tex]x+180=500[/tex]
[tex]x=320[/tex]
320 student tickets and 180 adult tickets were sold.
WHICH OF THE FOLLOWING EQUATIONS REPRESENTS A LINE THAT IS PERPENDICULAR TO y= -2x + 4 and passes though the point, (4,2)? HELP!!!!
Answers
Answer:
Step-by-step explanation:
the slope perpendicular is 1/2
y - 2 = 1/2(x - 4)
y - 2 = 1/2x - 2
y = 1/2x
Use substitution to solve the system of equation. 2x+2y=8 x+y=-2
Answers
Answer:
Step-by-step explanation:
find the value of y in the second equation
x + y = -2,
but y = -2-x as well
so take the value that we have found for (x) into the first equation
2x + 2(-2-x)= 8
-2x + -4-2x = 8
-4x-4=8
-4x = 12
x=-3,
now just substitute x value into either equation
x + y =-2
-3 + y = -2
y =1
Using coordinates in proofs 2
Simplify QP
Answers
Answer:
First Slot is B and the second slot is A
Step-by-step explanation:
B is in the x coordinate
A is in the y coordinate
And when you look at the formula it should make sense ;D
Use angles shown to make other angles ... Please help.. I know I have a lot of these but help ...
Answers
The right answer is <DEF and <GHJ.
EXPLANATION:
if we add 40 degree and 50 degree then it will result to 90 degree .
Right angles are those angles which is exactly 90 degree.
Hope it will help you.....
Follow me for more....-pragya~~
Step-by-step explanation:
angles GHJ and DEF
50+40=90
A top swimmer would be able to swim across a 25-meter pool in about 1/5
of a minute. How fast can a top swimmer go?
Answers
Answer:
125 m/min
Step-by-step explanation:
Find the rate (speed) as follows:
25 meters
--------------------- = (125/1) meters/min = 125 m/min
(1/5) minute
This is equivalent to about 380 ft/min
Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph
Answers
Answer:
Sally ran an average of 3 mph
Step-by-step explanation:
If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph
Here are ten numbers
3 ,7,2,4,7,5,7,1,8,8
(a) write down the mode
(b) Work out the median
(c) Calculate the mean
(d) What is the range ?
Answers
Answer:
Mode:7
Median:2
Mean:5.2
Range:7
Step-by-step explanation:
see the picture attached
The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.
Given :
Numbers -- 3, 7, 2, 4, 7, 5, 7, 1, 8, 8
a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.
b) The median of the given series is 5 and 7.
c) The formula of mean is used in order to determine the mean of the given series.
[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]
[tex]\rm Mean = \dfrac{52}{10}[/tex]
[tex]\rm Mean = 5.2[/tex]
d) The range of the given series is calculated as:
[tex]\rm Range = 8-1[/tex]
[tex]\rm Range = 7[/tex]
For more information, refer to the link given below:
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Find the distance between the points (-2, 3) and (5, -1). Round to the nearest
tenth.
Answers
Answer:
8.062258
Step-by-step explanation:
d = 8.062258
For:
(-2, 3)
(5, -1)
Distance Equation Solution:
d=√(5−(−2))2+(−1−3)2
d=√(7)2+(−4)2
d=√49+16
d=6–√5
I belive the answer is
d=8.062258
Which graph matches the equation y+3=2(x+3)? Mark this and return
Answers
Answer:
x= y+3/2 -3
Step-by-step explanation:
y+3/2=x+3
y+3/2-3=x
The line y = 2x + 3 on plotted graph.
Given that,
To determine whether the graph matches the equation y+3=2(x+3)
The line is a curve showing the shortest distance between 2 points.
The standard form of the equation of the line can be given as y = mx +c
Here,
y+3=2(x+3)
Simplifying the equation
y = 2x + 6 - 3
y = 2x + 3
The above-simplified equation represents the equation of line with slope and y-intercept as 2 and (0,3) respectively.
Thus, the line y = 2x + 3 on plotted graph.
Learn more about lines here:
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Felix calcutaed the area of a triangle with a base of 3 inches and a height of 1.5 inches Edith calculated the area of aa trapezoid with a height of 2 inches and parallel beaded of 4 inches and 6 inches their work is shown below what error did they both make in this work
Answers
Answer:
C), they didn't multiply by one half
Step-by-step explanation:
just did it on edge
Answer:
The answer is C
Step-by-step explanation:
G = 3t2 - 5t + 6
P = -8t2 + 7t - 9
G + P =
Your answer should be a polynomial in standard form.
Answers
Answer:
-5t^2+2t-3
Step-by-step explanation:
Find the midpoint for the segment with endpoints of (3, 2) and (9,6).
Answers
» Which expression is not equal to 30?
|(120 : 20) x (2+3)
(9 x 10) : (4 + 1) +12
(2 x 60 : 30) x (24 + 2)
2 + (30 - 8:4)
Answers
Answer:
Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
Step-by-step explanation:
We want to find which of the expression is not equal to 30.
1) (120 : 20) x (2+3)
Using BODMAS, we will solve the brackets first. So, we have;
(120/20) × 5
Note that a ratio implies division.
So, we have;
6 x 5 = 30
2) (9 x 10) : (4 + 1) + 12
Again, using BODMAS, solve the brackets first.
90 : 5 + 12
Ratio symbol is division and so it come before addition in BODMAS.
So, we have;
(90/5) + 12 = 18 + 12 = 30
3) (2 x 60 : 30) x (24 + 2)
Again, using BODMAS, solve the brackets first.
In the first bracket, we'll use division first before multiplication.
(2 x 60/30) x (26) =
2 x 2 x 26 = 104
4) 2 + (30 - 8:4)
Again, using BODMAS, solve the brackets first.
In the second bracket, division goes first. So,
2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30
So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
The sphere has a radius of 4 cm.
The sphere has a radius of 16 cm.
The diameter's length is twice the length of the radius.
The radius's length is twice the length of the diameter.
2048
The volume of the sphere is
3
cm.
256
The volume of the sphere is
cm?
Plzzz help
Answers
Answer:
first is true
second is false
third is true
fourth is false
the last few questions about the volume are a little choppy, but the correct volume is 268cm³.
Step-by-step explanation:
hope this helps<<3
The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute. Use the critical value method of testing hypotheses. 87 89 69 63 70 65 88 84 58 53 66 70Ho= H1=Critical value=P Value=Test Value=
Answers
Answer:
We conclude that the mean resting pulse rate for men is 72 beats per minute.
Step-by-step explanation:
We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.
A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;
87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.
Let [tex]\mu[/tex] = mean resting pulse rate for men.
SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 72 beats/minute {means that the mean resting pulse rate for men is 72 beats per minute}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 72 beats/minute {means that the mean resting pulse rate for men is less than 72 beats per minute}
The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean mean resting pulse rate = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}[/tex] = 71.83 beats/minute
[tex]\sigma[/tex] = population standard deviation = 2.6 beats per minute
n = sample of men = 12
So, the test statistics = [tex]\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }[/tex]
= -0.23
The value of z test statistics is -0.23.
Also, P-value of the test statistics is given by;
P(Z < -0.23) = 1 - P(Z [tex]\leq[/tex] 0.23)
= 1 - 0.59095 = 0.40905
Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.
Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.
What is the approximate area of the shaded sector in the circle shown below
A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2
Answers
Answer:
Option A. 283 cm²
Step-by-step explanation:
to find the area of the shaded sector, we use the formula:
[tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]
where area of the circle = πr²
∴ for the given circle,
[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]
= [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]
= [tex]\frac{100}{360}\times 1017.36[/tex]
= 282.6
≈ 283 cm²
The approximate area of the shaded sector is 283 cm².
what is it called when writing a number by adding the value of each digit
Answers
Answer:
Expanded form
Step-by-step explanation:
Expanded form or expanded notation is a system of writing numbers to see the value of each individual digits. The number are written in the form of tens, hundreds and ones etc. The expanded form of 44 will be 40 +4 where 4 is at ones place and 40 is at tens place.
A graphic designer makes a sketch for an image that will appear on a poster. The width of the sketch is 14 in. She figures that it should be enlarged to 220% to make the final image. How wide will the final image be?
Answers
Answer:
220
Step-by-step explanation:
Question 1) A 6-pack of DVDs costs $10.80. What is the unit price? *
5 points
$1.08
$64.08
$64.80
$1.80
Answers
Answer:
the answer will might be A yeah I'm sure the answer is A
Daniel works for a pest control company and is spraying all the lawns in a neighborhood. Each lawn in a neighborhood is approximately 0.2 acres in size and takes the same amount of time to spray. He started at the first house at 9:00 AM and the sixth house at 10:00 AM, and Daniel sprays 21 houses in total. How many minutes will it take Daniel to spray all of the lawns in the neighborhood?
Answers
Answer:
252 minutes
Step-by-step explanation:
All lawns are the same size, so it doesn't matter the exact size of the each lawn. Ignore the 0.2 acre size.
He started the first house at 9:00 AM and the sixth house at 10:00 AM.
Read the sentence above carefully. He started the first lawn at 9:00 AM. Since he started the sixth lawn at 10:00 AM, that means he finished the fifth lawn at 10:00 AM. In 1 hour, from 9:00 AM to 10:00 AM, he did 5 lawns.
1 hour = 60 minutes
60 minutes per 5 lawns = 60/5 minutes/lawn
which can be reduced to
12 minutes per lawn
His unit rate is 12 minutes/lawn.
Now you multiply his unit rate by the number of lawns, 21 of them, to find the number of minutes to spray 21 lawns.
12 minutes/lawn * 21 lawns = 252 minutes
Answer: 252 minutes
From a batch of 13 students who had appeared in an examination, 4 students
were failed. The marks of passed students were 43, 57, 45, 61, 75, 64,53,50 and
40. Calculate median marks of all students.
Answers
Answer:
37 7/13
Step-by-step explanation:
there are 13 students
total marks of students is488
therefore we are finding the median
=488/13
=37 7/13
Casey was asked to find XY. What is Casey error?
Answers
Answer:
[tex]XY=2YZ\\XY=2\times4\\XY=8[/tex]
The value of XY is given by the trigonometric relation and the measure of side of the triangle is XY = 8
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as XYZ
Let the measure of the side XY of the triangle be A
The measure of side YZ = 4
Now , from the trigonometric relations , we get
sin θ = opposite / hypotenuse
when θ = 30°
Substitute the value of θ in the equation , we get
sin θ = YZ / XY
On simplifying the equation , we get
sin 30° = 4 / XY
Multiply by XY on both sides of the equation , we get
XY ( sin 30° ) = 4
The value of sin 30° = 1/2
So , XY / 2 = 4
Multiply by 2 on both sides of the equation , we get
XY = 8
Hence , the measure of side XY of triangle is XY =8
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HELP ME PLEASE, I will help you too
Answers
Answer:
M
Step-by-step explanation:
1 and 7/8 is between 1 and 2
Answer:
Point M.
Step-by-step explanation:
Each number is divided into fourths. 7/8 is in the middle of a fourth, and it is 1/2 of a fourth, or 1/8, away from 2. Therefore, Point M is the correct answer.
The data in which table represents a linear function that has a slope of zero? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 4, 3, 2, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries 5, 5, 5, 5, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1.
Answers
Answer:
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.
Step-by-step explanation:
The table with all y-values the same will graph as a horizontal line, a line with a slope of zero.
Apparently, the first table is like that.
Answer:
A is the answer
Step-by-step explanation:
just took the test
ASAP! ALGEBRA 1! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! No guessing. Show your work or give an explaination.
Answers
Answer:
The first one is B because it does pass the vertical line test... (there is no explanation because it does pass the line test)
the second one is D or B... I don't know which one but there you go!!
I tried!!!
Step-by-step explanation:
I want brainliest
a culture started with 3000 bacteria. After 5 hours it grew to 3900 bacteria. Predict how many will be present after 9 hours
Answers
Answer:
4811
Step-by-step explanation:
The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...
n(t) = (initial number)·(growth factor)^(t/(time for growth factor))
n(t) = 3000·1.3^(t/5)
Then the number present after 9 hours is ...
n(9) = 3000·(1.3^9/5) ≈ 4811
Answer:
4811
Step-by-step explanation:
FOR PLATO
Use the regression line for the data in the scatterplot to answer the question. On average, how many more goals will a player score for every additional hour of practice? of a goal of a goal 1 goal goals
Answers
Answer:
3/4th of a goal
Step-by-step explanation:
just answered the question
The number of goals that a player would score in every additional hour would be 3/4th of a goal.
How to solve for the goalThe equation of the slope of a line =
y2-y1/x2-x1
= 6-2/6.5 -1.5
= 4/5
This is the best option that is closest to the goal that would be scored based on the regression line that is contained in the question.
Complete questionUse the regression line for the data in the scatter plot to answer the question. On average, how many more goals will a player score for every additional hour of practice?
A. )1/2 of a goal
B. )3/4of a goal
C.) 1 goal
D.) 4/3 goals
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