The value of the hypotenuse is C = 11.73
How to find the value of C?
We can see that C is the hypotenuse of the right triangle.
We can see that the top angle measures 43°, and the opposite cathetus to that angle measures 8 units.
Then we can use the rule:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing what we know:
Sin(43°) = 8/C
Solving for C:
C = 8/Sin(43°) = 11.73
The value of the hypotenuse is C = 11.73
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plsssss help fast!!!!
Step-by-step explanation:
The value of x is
x = 118° < being corresponding angles>
Hope it will help :)❤
Select the correct answer from each drop-down menu. Astronomers can use geometry to measure the objects in space and describe their
Please Help.
Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
Who are astronomers?It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.
In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
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Answer:
distance between, motion
Step-by-step explanation:
plato, I got it right
The terminal ray of an angle with measure of 120 degrees intersect a unit circle at -1/2, square root of 3 /2. Find the EXACT VALUES for the sine and cosine of the given angle.
The Exact values for the sine and cosine of the given angles are : sin(120°) = √3/2, cos(120°) = -1/2
Given that the terminal ray of an angle with measure of 120 degrees intersects a unit circle at the point (-1/2, √3/2), we can use the definition of sine and cosine to find the exact values of these trigonometric functions for the given angle.
The sine of an angle is defined as the y-coordinate of the point on the unit circle that the terminal ray of that angle intersects. So, for this angle, the sine is:
sin(120°) = √3/2
The cosine of an angle is defined as the x-coordinate of the point on the unit circle that the terminal ray of that angle intersects. So, for this angle, the cosine is:
cos(120°) = -1/2
So, the exact values for the sine and cosine of the angle with measure of 120 degrees are:
sin(120°) = √3/2
cos(120°) = -1/2
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What is the difference between 4 and 62
2.
Answer:
6214
Step-by-step explanation:
you round up 62 and 4 20 times and that is your answer but for give me if this answer wrong
Which of the following are solutions to the quadratic equation x squared plus 8x=9
Answer:
X=1 x=-9
Step-by-step explanation:
(x^2)+8x=9
(x^2)+8x-9=0
(x-1)(x+9)=0
x=1 x=-9
I NEED THE ANSWERS FOR EACH PROBLEM
Answer:
A = 5B = 15C = 6D = 4E = 6F = 15G = 1H = 8I = 8J = 8K = 7L = 10M = 8N = 3O = 0.2P = 21Q = 30R = 4S = 7T = 3U = 6V = 50W = 5X = 4Y = 4Hope This helps!
Janiya just turned 18 years old. She spent 4/9 of her life in NY. How many years did Janiya live in NY? *
Mac has taken seven maths exams this year. His average mark is 78%. What mark must he get on the eighth exam to raise his average to 80%?
Answer:
94
Step-by-step explanation:
7*78 + x = 8*80
x = 94
Or, think that he was short 2 points on each of 7 tests, so he has to make them all (14) up on the last test.
12. Find point X on AB such that the ratio of AX to XB is 1:3.
13. Find point Y on CD such that the ratio of DY to YC is 2:1
14. Find point Z on EF such that the ratio of EZ to ZF is 2:3.
Using proportions, the points are given as follows:
12. X(1.25, 4).
13. Y(4.67, 0).
14. Z(3.2, 0).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Item 12The coordinates are:
A = (-1,4), B = (8,4).
AX to XB is 1:3, hence the proportional equation is:
X - A = 1/4(B - A)
The x-coordinate of X is found as follows:
x + 1 = 1/4(8 + 1)
x + 1 = 2.25
x = 1.25.
The y-coordinate of X is found as follows:
y - 4 = 1/4(4 - 4)
y = 4.
Hence the point is X(1.25, 4).
Item 13The coordinates are:
C(2,2), D(10,-1).
DY to YC is 2:1, hence the proportional equation is:
Y - C = 1/3(D - C)
The x-coordinate of Y is found as follows:
x - 2 = 1/3(10 - 2)
x - 2 = 2.67.
x = 4.67
The y-coordinate of Y is found as follows:
y - 1 = 1/3(-1 - 2)
y - 1 = -1
y = 0.
Hence the point is Y(4.67, 0).
Item 14The coordinates are:
E(2,-2), F(5,3)
EZ to ZF is 2:3, hence the proportional equation is:
Z - E = 2/5(F - E)
The x-coordinate of Z is found as follows:
x - 2 = 2/5(5 - 2)
x - 2 = 1.2
x = 3.2.
The y-coordinate of Z is found as follows:
y + 2 = 2/5(3 + 2)
y + 2 = 2
y = 0.
Hence the point is Z(3.2, 0).
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An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be \(y=40000+16000*x\)
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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Triangle HIJ is similar to triangle KLM find the measure of side KL around your answer to the nearest tenth if necessary
The measure of side KL from triangle KLM is 22 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle HIJ is similar to triangle KLM.
From the similar triangles,
JH/MK =HI/KL
31/13.9 =49/KL
31KL=49×13.9
31KL=681.1
KL=681.1/31
KL=21.97
KL≈22
Therefore, the measure of side KL is 22 units.
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At a carnival, there were 100 adults and 380 children in the morning. By noon time, an equal number of adults and children arrived at the carnival. The number of children became thrice as many as the number of adults. How many children were there at the carnival in the end?
The number of children who were at the carnival in the end, given that an equal number of adults and children arrived, is 420 children.
How to find the number of children ?Assuming the children and adults are x, we know that before noon, there were 100 adults and 380 children. After noon, there are 100 + x adults and 380 + x children.
We also know that the number of children became thrice as many as the number of adults:
380 + x = 3 ( 100 + x )
380 + x = 300 + 3x
80 = 2x
x = 40
40 children and 40 adults arrived at noon so the number of children at the carnival becomes :
= 40 + 380
= 420 children
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Delilah split 2½ pounds of pasta equally into 10 bowls to share with her family and friends. How much pasta did she serve to each person?
She served each person lbs.
Answer:
try with 5/4
Step-by-step explanation:
Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
The number of small rooms reserved is 4.
The number of large rooms reserved is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Small rooms are denoted as S.
Large rooms are denoted as L.
Now,
We will make two equations.
L = 2S _____(1)
8L + 6S = 88 ______(2)
Putting (1) in (2) we get,
8L + 6S = 88
8 x (2S) + 6S = 88
16S + 6S = 88
22S = 88
S = 88/22
S = 8/2
S = 4
Now,
Putting S = 4 in (1) we get,
L = 2 x 4
L = 8
Thus,
The number of small rooms and large rooms reserved is 4 and 8.
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The teacher wants to encourage her students by reporting that, overall, the scores were high. Should she use the mean or median to summarize the center of the distribution of scores? She could choose either one because they are equal. She should report the mean because it will be greater than the median. She should report the median because it will be greater than the mean. All the missing scores are needed in order to decide.
She should report the Mean because it will be greater than the Median.
Let's start with the example from before. Imagine you teach a class with 20 students, and they take a test with 20 multiple choice questions about the Revolutionary War. Imagine that the grades you get back from scoring their tests look like this:
Student #1: 20 Student #6: 12 Student #11: 10 Student#16:8Student #2: 17 Student #7: 12 Student #12: 10 Student#17:6 Student #3: 16 Student #8: 12 Student #13: 10 Student #18:6 Student #4: 14 Student #9: 10 Student #14: 8 Student #19:4 Student #5: 14 Student #10: 10 Student #15: 8 Student#20: 3So you can see we have student #1 through student #20, and you can see that the scores range quite a bit. Looking at these scores you can see that one student, student #1, got a perfect score of 20 out of 20. Many students got scores somewhere in the middle, with five students getting half of the questions right - that would be a score of 10 out of 20. A few of the students did pretty well, only missing a few questions, While a few students did pretty badly but at least got a few of the questions right.
Let's say the principal of your school wants a quick summary of how your students did on their test. How would you summarize the results? The most common type of statistic, in either the context of the classroom assessment or in laboratory research projects, is statistics of summary. There are various types of Statistics of summary, but in general their purpose is to quickly give an general impression of the overall trend in results. So, just like you'd guess, based on the term Statistics of summary, these statistics just give you a ballpark idea of what happened on the test.
The most well-known statistic of summary is called the mean, which is the term we use for the arithmetic average score. When most people use the term 'average score,' what they're really referring to, technically, is what we call the mean. How do we calculate the mean? We simply add up all of the individual results, get the total, and then divide by the number of students in the class. In our example, you can see how this would look on the screen. If you add up the scores of 20 + 17 + 16 and so on through all 20 students, you get a total score of 210. You divide 210 by 20 (the number of students), and you get a mean of 10.5. You can see that this score, 10.5, is a pretty representative score of the middle score for this class, so it works nicely as a summary.
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Provide steps to the equation. :)
Answer:
C. 90°Step-by-step explanation:
Angle ABC is the sum of angles ABD and DBC as per angle addition postulate
As per given we have isosceles triangles ABD and BCD
ADC is straight angle, therefore:
2x + x = 180°3x = 180°x = 60°Triangle ABD∠BAD = ∠ABD = 1/2(180° - 2x) = 1/2(180° - 120°) = 1/2(60°) = 30°Triangle BCD∠BDC =∠ BCD = x = 60°∠DBC = 180° - 2*60° = 180° - 120° = 60°So the angle ABC∠ABC = ∠ABD + ∠DBC∠ABC = 30° + 60° = 90°At a real estate agency, an agent sold a house for $341,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Therefore , the solution of the given problem of amount comes out to be the agent received $3,069 in commission.
What is an amount?aggregate attempting to determine the time, overall cost, or amount. The amount in front of us or on our minds is incredibly hectic. the outcome, its significance, or its applicability. The sum consists of principal, tax, and third bookkeeping. Some of the word variations are amounts, amounts, and amounting. a versatile term Its amount refers to the amount that something weighs, how often you consume it.
Here,
The real estate company has a 4.5% commission rate,
which means they get paid 4.5% of the house's sale price:
=> 4.5% of $341,000 divided by the agency's commission results in
=> $15,345 ($0.045 x $341,000).
Hence, the residence brought in $15,345 for the real estate company.
We must determine the commission received by the real estate agency in order to determine how much the agent earned. 20% of the commission paid to the real estate agency goes towards the agent's commission rate.
Since we already know that the real estate firm was paid a commission of $15,345; the agent's commission is:
=> 20% of $15,345 divided by the agent's commission
=> 0.2 times $15,345 = ($3,069).
As a result, the agent received $3,069 in commission.
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Help asap! Am=6 MB=4 AN=8
Answer:
AC = 13.3
Make proportional relationship:
\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)
Insert values
\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)
Cross multiply
\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)
Simplify
\(\rightarrow \text{AC}=13.3\)
QUICK! 40 points. Consider this cone with the diameter measure of 17 inches.
A cone with diameter 17 inches and slant height of 22 inches.
What is the surface area of the cone?
SA = Pir2 + Pirl
A. 204Pi in.2
B. 259.25Pi in.2
C. 446.25Pi in.2
D. 663Pi in.2
259.25π in² is the surface area of the cone
The surface area of a cone can be calculated using the formula SA = πr² + πrl
where r is the radius and l is the slant height.
Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.
The slant height (l) is given as 22 inches.
Substituting these values into the formula:
Surface Area = π(8.5)² + π(8.5)(22)
= 72.25π + 187π
= 259.25π
Therefore, the surface area of the cone is 259.25π in²
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Jus help im in a timed assigment
Math. Please Help Me Answer All The Questions Please
Find the equation of the line that passes though the following points
1. (0,0),(1,3)
2. (3-2),(-6,3)
3. (-2,3),(3,-4)
4. (4,3),(06)
5. (0,2),2,-2)
6. (2,3),(0,4)
7. (2,3),(-1,-3)
8. (0,0),(-6,-6)
9. (-1,1),(2,4)
10. (1,1),(0,5
o find the equation of a line that passes through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).
1. The equation of the line that passes through (0,0) and (1,3) is y = 3x.
2. The equation of the line that passes through (3,-2) and (-6,3) is y = -x/2 - 1.
3. The equation of the line that passes through (-2,3) and (3,-4) is y = -7/5x - 6/5.
4. The equation of the line that passes through (4,3) and (0,6) is y = 3/2x + 3.
5. The equation of the line that passes through (0,2) and (2,-2) is y = -x.
6. The equation of the line that passes through (2,3) and (0,4) is y = 2x + 1.
7. The equation of the line that passes through (2,3) and (-1,-3) is y = -2x - 5.
8. The equation of the line that passes through (0,0) and (-6,-6) is y = -x.
9. The equation of the line that passes through (-1,1) and (2,4) is y = 3/2x + 1/2.
10. The equation of the line that passes through (1,1) and (0,5) is y = 5x - 5.
differenciate the Function 1/ X3
Step-by-step explanation:
To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:
Write the function: f(x) = 1/x^3.
Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).
Differentiate the function: In our case, n = -3, so the derivative is:
f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.
Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.
Median for 49 32 67 55 58
Answer: The answer is 55
I’ve done the first part. I just need help on the second part
Its worth 35 points
I’m am timed.
Thanks
Answer:
Step-by-step explanation:
Check the picture I hav attached, hope it helps
Solve....3(x+3)=-4x+30
Answer:
x=3
Step-by-step explanation:
Hey there!
In order to solve this equation, we must first distribute the 3
3x + 9 = -4x + 30
Now we combine like terms
7x = 21
Then we divide both sides by 7 to get x by itself
x = 21/7
x = 3
Answer: x=3
Step-by-step explanation:
To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
3(x+3)=-4x+30 [distribute]
3x+9=-4x+30 [add both sides by 4x]
7x+9=30 [subtract both sides by 9]
7x=21 [divide both sides by 7]
x=3
Therefore, we get x=3.
I have no ideas what this means at all. Please help me.
Answer:
x + 8 = 8 + x
Step-by-step explanation:
the commutative property for addition is A + B = B + A
so you basically just swtich the numbers around
x + 8 = 8 + x
Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
What is the expanded form of this number?
204.017
(2×100)+(4×1)+(1×1100)+(7×11,000)
(2×100)+(4×1)+(1×110)+(7×11,000)
(2×100)+(4×1)+(1×110)+(7×1100)
(2×100)+(4×1)+(1×1100)+(7×1100)
Answer:
Step-by-step explanation:
Answer:
(2×100)+(4×1)+(1×1100)+(7×11,000)
Step-by-step explanation:
Hope this helps
What is the answer to Rx+12r+8r
Answer: Rx + 20r
Step-by-step explanation:
In an orchard 2/5 of the trees are banana trees, 1/4 of the trees are orange trees and the rest are apple trees. If there are 220 trees in all, find the number of each kind
Answer: banana- 88
Orange-55
Apple-143
Step-by-step explanation:
220 divided by 5, times 2,
that’s the banana trees
220 divided by 4, that’s the oranges
Add the answers together
Take the answer away from 220 that’s the apples