Answers
ANSWER
x = 30 degrees and y = 5
EXPLANATION
The figure is made up of two triangles: one is equilateral and the other is isoceles.
The equilateral triangle is:
It is equilateral because the three angles are equal. This means that the three sides are of equal length as well.
So:
8y = 40
Divide through by 8:
y = 40 / 8
y = 5
The second triangle is given below. Let us label it as such:
The angle So, we have that:
Since the triangle is isoceles, it means that two sets of angles are equal (and two sets of sides are equal):
The sum of angles in a triangle is 180 degrees, so:
x + x + 120 = 180
2x = 180 - 120 = 60
Divide through by 2:
x = 60 / 2
x = 30 degrees
So, x = 30 degrees and y = 5
Related Questions
find the surface area of the prism
Answers
Answer: 132 cm cubed
Step-by-step explanation:
0.5*3*4*2=12
10*5=50
4*10=40
3*10=30
30+40+50+12=132 cm cubed
15 less than 4G leaves 34
Answers
Answer:
4g - 15 = 34
4g = 49
g = 12.25
Answer:
G = 12 1/4
Step-by-step explanation:
4G - 15 = 34
4G = 34 + 15
4G = 49
G = 49/4 = 12 1/4.
if you answer my question I'll give you a cookie also I'll give you five stars
Answers
Let's simplify each expression
1.\(\frac{10\pi\sqrt[]{2}-8\pi\sqrt[]{2}}{2\sqrt[]{2}}=\frac{(10-8)\pi\sqrt[]{2}}{2\sqrt[]{2}}=\frac{2\pi}{2}=\pi\)2.\(\frac{\sqrt[]{24}-\sqrt[]{54}}{\sqrt[]{6}}=\frac{\sqrt[]{6\cdot4}-\sqrt[]{6\cdot9}}{\sqrt[]{6}}=\frac{2\sqrt[]{6}-3\sqrt[]{6}}{\sqrt[]{6}}=\frac{(2-3)\sqrt[]{6}}{\sqrt[]{6}}=-1\)3.\(\pi\sqrt[]{\frac{3}{5}}\cdot\pi\sqrt[]{\frac{5}{3}}=\pi^2\sqrt[]{\frac{3}{5}\cdot\frac{5}{3}}=\pi^2\sqrt[]{1}=\pi^2\)Using the results above, we can say that the right order is\(\frac{\sqrt[]{24}-\sqrt[]{54}}{\sqrt[]{6}}<\frac{10\pi\sqrt[]{2}-8\pi\sqrt[]{2}}{2\sqrt[]{2}}<\pi\sqrt[]{\frac{3}{5}}\cdot\pi\sqrt[]{\frac{5}{3}}\)Find an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together. y = 8 , (4,16) y = Choose the correct graph of the curve and the tangent below.
Answers
The equation of tangent to the curve y = 8√x at the point (4,16) is y = 2x + 8 .
We have to find equation of tangent line to the curve y = 8√x at the point (4, 16), we first find the slope ;
So , slope of the tangent line is derivative of function y = 8√x at point (4, 16).
which means : y' = 4\(x^{-\frac{1}{2} }\) ;
At the point (4, 16), the value of x is 4.
So , y' = 4 × \(4^{-\frac{1}{2} }\) = 2 .
By Using the point slope form, the equation of the tangent line is ;
⇒ y - 16 = (2)(x - 4) ;
Simplifying this equation, we get:
⇒ y - 16 = 2x - 8
⇒ y = 2x + (16 - 8)
⇒ y = 2x + 8 .
Therefore, the equation of the tangent line to the curve is y = 2x + 8 .
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The given question is incomplete , the complete question is
Find an equation for the tangent to the curve y = 8√x at the point (4,16) .
At Marco’s school, 5/8 of the students are in the band. What percent of the students are in the band?
Answers
Management of Oriole, Inc., is planning to raise $1,397,000 in new equity through a private placement. If the sale price is $22.00 per share, how many shares does the company have to issue?
Answers
Answer:
N = 63,500 shares
the company have to issue 63,500 shares
Step-by-step explanation:
Given;
Total amount in new equity to be raised T = $1,397,000
Sales price per share R = $22.00
The number of shares the company need to issue is;
N = Total amount in new equity/Sales price per share
N = T/R
Substituting the given values, we have;
N = $1,397,000/$22.00
N = 63,500 shares
the company have to issue 63,500 shares
Assume that a sample is used to estimate a population mean . Find the 99.5% confidence interval for a sample of size 353 with a mean of 75.7 and a standard deviation of 6.8. Enter your answer as a tri-linear inequality accurate to 3 decimal places.
Answers
The 99.5% confidence interval for a sample of size 353 with a mean of 75.7 and a standard deviation of 6.8 is: (74.94, 76.46)
Hope to calculate the valueTo calculate the confidence interval, we can use the following formula:
CI = x ± tα/2 * s / √n
In this case, the critical value of the t-distribution for a confidence level of 99.5% is 2.776. Plugging in the other values, we get the following confidence interval:
CI = 75.7 ± 2.776 * 6.8 / √353
CI = (74.94, 76.46)
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Five people are going to the
amusement park where parking costs
$22 and the total cost overall for
admission and parking was $234.50.
Create an equation to solve for the
cost of a ticket.
Answers
223.50-22=212.50
5/(212.50)=42.50
Ticket is 42.50 per
1. In the number 0.08 the digit 8 is in the...
Tenths
Hundreds
Thousands
Answers
Answer:
hundreds
Step-by-step explanation:
ITS IN THE HUNDREDS, 100 has two zeros and .08 has two decimal places
Answer:
Hundreds
Step-by-step explanation:
because
0.1 is tenths
0.01 is hundred
0.001 is thousandth
Can someone help me?
Answers
Answer:
B
Step-by-step explanation:
The answer is B because if you move two times to the right it gives you 0.09 like the eqution.
But scientific notation requires number without decimal, so the answer cannot be E because 0.9 is a decimal.
Just reminder: B and D have the same result!! just different coefficient
Step-by-step explanation:
The answer is B) 9 x 10^ -2
2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
Answers
An Annual is not an example of an agreement.
DJ Jacqueline is making a playlist for a friend; she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 10 pop, 25 reggae, and 10 blues songs, and she wants to play an equal number of pop, reggae, and blues songs, how many different playlists are possible
Answers
Answer:
\(P=4.41205084*10^2^1\)
Step-by-step explanation:
From the ques ton we are told that
Total amount N=15
Choices within 10 pop, 25 reggae, 10 blues
Generally for equal amount in her play list she's mathematically Going to have 5 of each kind Pop,Reggae,Blues
Therefore
Let the amount of differnt playlist be given as P
\(P=^1^0C_5*^2^5C_5*^1^0C_5*15!\)
\(P=252*53130*252*1307674368000\)
\(P=4.41205084*10^2^1\)
Therefore \(P=4.41205084*10^2^1\) different playlists are possible
A water wheel is designed in the shape of a regular octagon. What is the perimeter of the water wheel?
yft
(3,3)
2-
(4,0)
2xft
-
o
2
-2
OA BVIO ft
OB. VIO ft
OC. 80 ft
OD 8ft
Answers
The perimeter of the water wheel \(8\sqrt{10}\)
The correct option is (A)
What is Distance Formula?
The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. To derive the formula, let us consider two points in 2D plane A( x, a) and B(y, b).
So, the distance between two points be: \(\sqrt{(y-x)^{2}+(b-a)^{2}}\)
As water wheel is designed in the shape of regular octagon.
To find the perimeter of the water wheel.
Since the water wheel is in the shape of regular octagon all sides are equal.
Using Distance Formula,
D= \(\sqrt{(4-3)^{2}+(0-3)^{2}}\)
= \(\sqrt{10}\)
So, the side of regular octagon will be \(\sqrt{10}\).
Perimeter of Regular Octagon = 8 x side
= \(8\sqrt{10}\)
Hence, the perimeter of the water wheel \(8\sqrt{10}\)
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Answer:
A
Step-by-step explanation:
Find the values of x and y. The diagram is not to scale.
Answers
Answer:
51+x-5+y-6=180
x+y=180-51+5+6
X+y=140
Answer x=77 y=63
(those 2 lines with the arrows are perpendicular so their angles are the same 72° and (x-5)=77-5= 72°)
The values of x and y are 77 and 63 respectively.
What is Angle?Angle is defined as the figure formed by two lines or rays which has a common point of intersection where the angle is formed.
Sum of the interior angles of a triangle is supplementary.
That is three angles (y - 6)°, 72° and an unknown angle is supplementary.
We have two parallel lines given and a transversal line intersects the parallel lines.
So the unknown angle of the triangle and the angle 51° are alternate interior angles and are thus equal.
So the third angle of the triangle = 51°
(y - 6) + 72 + 51 = 180
y - 6 + 123 = 180
y + 117 = 180
y = 63
The angles (x - 5)°, 51° and (y - 6)° are supplementary.
(x - 5) + 51 + (y - 6) = 180
x - 5 + 51 + 63 - 6 = 180
x + 103 = 180
x = 77
Hence the value of x is 77 and the value of y is 63.
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In “The Oldest and Youngest Places on Earth,” what can be inferred about Hunga Tonga-Hunga Ha'apai?
Its lifespan is very typical of islands formed by underwater volcanoes.
It is home to animals that are found nowhere else on the planet.
It cannot yet support life because it is so young.
It is somewhat unusual for an island formed by an underwater volcano.
Question 2
Part B
Which two sentences from the text best support the answer in Part A?
"But in 2020, the island was not only still around, but had developed a thriving ecosystem."
“It is unknown whether the earth’s youngest island will last for long, but it has already exceeded expectations.”
"From above, much of the dark gray island is now lush and green, and birds, such as owls and seagulls, make it their home.
“Hunga Tonga-Hunga Ha'apai was expected to dissolve back into the Pacific Ocean shortly after it was formed.”
Answers
Answer:
Part A: D
Part B: A&D :)
Step-by-step explanation:
yw
Answer:
Part A:
It is somewhat unusual for an island formed by an underwater volcano.
Part B:
“It is unknown whether the earth’s youngest island will last for long, but it has already exceeded expectations.”
"But in 2020, the island was not only still around, but had developed a thriving ecosystem."
Step-by-step explanation:
Took the test!
Giving brainlest pls awnser quick
Answers
EASY 8TH GRADE MATH. 16 POINTS
Julie is 5 years older than Steve. The sum of their ages is 51. What are Julie and Steve's ages.
Answers
Answer:
steve is 23 and julie is 28
Step-by-step explanation:
51 - 5 = 46
46/2 = 23
steve is 23, but julie is 5 years older than him, so
23 + 5 = 28
28+23=51
hope this helps!!!
Answer: lol, I tried solving this but this is harder then what I had in 8th grade.
Step-by-step explanation:
It is necessary to
Change your oil every 3000
miles and each oil change.
will cost $19.95
How much is the cost of
4 years of oil changes
Answers
Let I represent the income (in millions of dollars) for a company.
A company posted a net income loss of $13,863 million for the fiscal year 2016.
I=? (millions of dollars)
Answers
In this case, I = -$13,863 million. The negative sign indicates a loss or negative income for the company.
What is net income loss ?
A corporation is said to be in a net income loss, sometimes known as a net loss, when its expenses outweigh its income or revenues. It is the outcome that is negative after all costs, such as operational costs, taxes, interest, and other charges have been subtracted from the total income obtained for a given time period usually a fiscal year.
If the net income loss for the fiscal year 2016 is given as $13,863 million, we can assign this value to the variable I, which represents the income in millions of dollars.
Therefore, in this case, I = -$13,863 million. The negative sign indicates a loss or negative income for the company.
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bhbb uhhbjh j jjb hi
Answers
Answer:
hey
Step-by-step explanation:
Please answer the attached question
Answers
The 5th term of the arithmetic series is 1179/ 19.
How to solve an arithmetic series?The 10th term of the arithmetic series , S is 66.
Using arithmetic formula,
aₙ = a + (n - 1)d
where
n = number of termsd = common differencea = first termTherefore,
66 = a + 9d
The sum of the first 20 terms of S is 1290.
Therefore,
Sₙ = n / 2 (2a + (n - 1)d)
1290 = 10(2a + 19d)
1290 = 20a + 190d
combine the equation
66 = a + 9d
1290 = 20a + 190d
Hence,
a = 66 - 9d
1290 = 20(66 - 9d) + 190d
1290 = 1320 - 180 + 190d
1290 - 1320 + 180 = 190d
190d = 150
d = 150 / 190
d = 15 / 19
Hence,
a = 66 - 9(15 /19)
a = 66 - 135 / 19
a = 1254 - 135/ 19
a = 1119 / 19
Hence, let's find the fifth term.
a₅ = a + 4d
a₅ = 1119 / 19 + 4(15 / 19)
a₅ = 1119 / 19 + 60 / 19
Therefore,
a₅ = 1179/ 19
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• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Answers
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
Answers
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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Does the graph in Exercise 33 have a Hamilton path? If
so, find such a path. If it does not, give an argument to
show why no such path exist
Answers
;
Answer:
there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2
Step-by-step explanation:
a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .
If you rotated the shape around the line, which three-dimensional figure would be formed?
O A cone
O B. sphere
O C. cylinder
D. pyramid
Answers
Answer:
c cylinder
Step-by-step explanation:
2
The absolute value function, f(x) = x + 21, is shown.
4
3-
Mark this and return
~
--5-4-3-2-11- 1 2 3 4 5
77774
6
-2+
-3
10
If the graph is reflected over the x-axis, what is the
domain of the function?
TIME REMAINING
37:46
O all real numbers
O all real numbers greater than or equal to 0
Oall real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Save and Exit
Next
Submit
Answers
The correct option regarding the domain of the reflected absolute value function is given as follows:
All real numbers.
How to obtain the domain of a function?The domain of a function is the set that contains all possible input values for the function.
The absolute value function is defined for all real numbers, and the reflection does not change the domain, hence the domain is all real numbers.
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What is 3 + 1
What is it
Answers
uh it's 4 yes. the answer would be 4
Answer:
it's 4
hope it is helpful to you
What are two different types of comparisons that a ratio can be used to make?
Answers
Answer:
You can compare two quantities by using a ratio. A common way to express a ratio is as a fraction in simplest form. If the two quantities you are comparing have different units of measure, this kind of ratio is called a rate. A rate is in the form of a unit rate when the denominator is 1.
The solution is given below. & A rate is in the form of a unit rate when the denominator is 1.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
You can compare two quantities by using a ratio.
A common way to express a ratio is as a fraction in simplest form.
If the two quantities you are comparing have different units of measure, this kind of ratio is called a rate.
A rate is in the form of a unit rate when the denominator is 1.
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Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answers
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
SELF 5.32 The quality control manager of Marilyn's Cook-
Test ies is inspecting a batch of chocolate-chip cookies that
has just been baked. If the production process is in control, the
mean number of chocolate-chip parts per cookie is 6.0. What is the
probability that in any particular cookie being inspected
a. fewer than five chocolate-chip parts will be found?
b. exactly five chocolate-chip parts will be found?
c. five or more chocolate-chip parts will be found?
d. either four or five chocolate-chip parts will be found?
5.33 Refer to Problem 5.32. How many cookies in a batch of 100
should the manager expect to discard if company policy requires
that all chocolate-chip cookies sold have at least four chocolate-
chip parts?
Answers
Answer: This question is most likely assuming a poisson distribution; it is impossible to compute without some distribution clarified, as otherwise we don't have applicable information.
Poison distribution is:
(λke-k) / k!
Where k is the number of outcomes you are looking for, and λ is the accepted average number of outcomes. So, λ is 6 for this example, and we are looking for values of k to use.
Solving problem b is simply substituting the value.
Prob of 5 parts: (65e-5) / 5!, using a calculator and working it out, this approximates to 0.437.
Solving problem a can be used for c; to get a, do the above equation 5 times for k = 0, 1, 2, 3 and 4, and add them all together. Though somewhat tedious, this would lead to the solution. To get part c, you would use the property of complements:
The cumulative probability here would be 1 - (total prob of all scenarios with k = 0, 1, 2, 3, 4, 5). You can get that total probability by adding the answers to part a and b together.
Finally, regarding part d, the above work can be redone with a new formula, now (λke-k) / k! would have λ as 5. This would reduce the answer for a, but increase it for b and c, which you can verify by running the calculations.
Step-by-step explanation: