Answer:
35 degrees
Step-by-step explanation:
a triangle has 180 degrees so 70 + 75 + x = 180
solve for it and you get 35 degrees.
Answer:
x = 35
Step-by-step explanation:
We know that the sum of all the angles inside a triangle is 180°. We can solve for x by setting up the simple equation x + 70° + 75° = 180°
You would then use subtraction to get x by itself by subtracting 70° and 75° from the left and right side of the equation.
This would leave you with the answer, x = 35°
What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
How do you graph g(x)=f(x)+5
(Which fraction would make this equation true?) Please help if you want BRIANLEIST! :))
SOMONE PLEASE HELO ME SCHOOL ENDS NEXT WEEK
Answer:
sorry dont know 4 or 5 8. 9 but
6. 4 %
7. 60%
Step-by-step explanation:
Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?
Answer:
english plz
Step-by-step explanation:
when using a sample to make inferences about a population, we wouldn't expect the average of the sample to be exactly equal to the average of the population. the difference between the sample and population averages is known as:
The sampling error or sampling variability is the discrepancy between the sample and group norms.
What does a representative sampling error look like?Among the most frequent kinds of sampling mistakes is sampling prejudice. When the sample's participants are not indicative of the general community, it happens. A poll has sampling bias if it only includes respondents from one region of the nation and does not include respondents from the other regions.
What is a study sampling error example?For instance, the mother, kids, or the complete family could be the populace in a poll on breakfast cereals. Selection Error: Occurs when respondents self-select their involvement in the poll, suggesting that only the people who are eager are participating.
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(This table shows Oliver's June budget. How much money does he need to earn
lifeguarding to balance his budget? Complete the table.
Income
Lifeguarding: $
(0) Allowance: $20
Pet sitting: $40
Total: $
Submit
Oliver's June budget
) Expenses
Amusement park: $85
Giving to charity: $20
() Saving for a new skateboard: $10
() Total: $
Oliver needs to earn $55 from lifeguarding to balance his budget for June.
How much money does he need to earn lifeguarding to balance his budget?To balance his budget, Oliver needs to make sure that his total income matches his total expenses. From the given table, we can see that the total expenses for June are:
Expenses
Amusement park: $85
Giving to charity: $20
Saving for a new skateboard: $10
Total: $115
And his total income so far is:
Income
Lifeguarding: $0
Allowance: $20
Pet sitting: $40
Total: $60
To find out how much he needs to earn lifeguarding to balance his budget, we can use the equation:
Income = Expenses
Substituting the values we have, we get:
0 + 20 + 40 + Lifeguarding = 85 + 20 + 10
Simplifying and solving for Lifeguarding, we get:
Lifeguarding = 85 + 20 + 10 - 20 - 40
= $55
Therefore, Oliver needs to earn $55 from lifeguarding to balance his budget for June. We can complete the table as follows:
Income
Lifeguarding: $55
Allowance: $20
Pet sitting: $40
Total: $115
Expenses
Amusement park: $85
Giving to charity: $20
Saving for a new skateboard: $10
Total: $115
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A student would like to estimate the height of a statue. The length of the statue's right arm is 45 feet. The stud
right arm is 2 feet long and her height is 5 g
- feet. Use this information to estimate the height of the statue. Hovc-lose
is the approximate height to the statue's actual height of 120 feet, 3 inches from heel to top of head?
Approximate height to the statue's actual height of 120 feet, 3 inches from heel to top of head is 123.75 feet.
To estimate the height of the statue, the student can use the method of similar triangles. Since the length of the statue's right arm is 45 feet and the length of the student's right arm is 2 feet, the ratio of the lengths of the arms is 45/2 = 22.5. If we assume that the ratio of the heights of the statue and the student is also 22.5, then the height of the statue can be estimated as:
height of statue = height of student x ratio of heights
height of statue = 5.5 x 22.5
height of statue = 123.75 feet
This estimated height of the statue is close to the actual height of 120 feet, 3 inches. It should be noted that this method of estimation assumes that the ratio of the heights of the statue and the student is the same as the ratio of the lengths of their arms. This may not be completely accurate, as the proportions of the statue and the student may be different.
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A 8 cm cube i built from mall cube, each 2 cm on an edge. Write a ratio that compare the edge length of the large and mall cube
The ratio of the edge length of the large cube (8 cm) to the small cube (2 cm) can be written as 8:2 or 4:1.
Comparing two or more related quantities using a ratio typically involves using a fraction or decimal. Ratios are used to evaluate relationships between two or more things or to compare values.
To calculate this ratio, we divide the length of the large cube (8 cm) by the length of the small cube (2 cm). The result is 4, which is the first number in the ratio. The second number in the ratio is the number we divided by, which is 1. Therefore, the ratio of the edge length of the large cube to the small cube is 4:1.
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3. can you subtract a binomial from another binomial and end up with a monomial? explain.
b) can you add monomial and end up with a binomial? explain
Answer:
Yes
Step-by-step explanation:
Let's pick 2 bionomials for this proof.
(3x+4) and (2x-4)
If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.
So yes, you can subtract a binomial from another binomial and get a monomial.
Hope this helps!
If
θ
θ
is an acute angle of a right triangle and
tan θ=
3
5
tan θ=35
, what is the value of
cosθ
cosθ
?
Given:
In a right angle triangle θ is an acute angle and \(\tan\theta =\dfrac{3}{5}\).
To find:
The value of \(\cos \theta\).
Solution:
In a right angle triangle,
\(\tan \theta=\dfrac{Perpendicular}{Base}\)
We have,
\(\tan\theta =\dfrac{3}{5}\)
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
\(Hypotenuse=\sqrt{Perpendicular^2+base^2}\)
\(Hypotenuse=\sqrt{(3x)^2+(5x)^2}\)
\(Hypotenuse=\sqrt{9x^2+25x^2}\)
\(Hypotenuse=\sqrt{34x^2}\)
\(Hypotenuse=x\sqrt{34}\)
In a right angle triangle,
\(\cos \theta=\dfrac{Base}{Hypotenuse}\)
\(\cos \theta=\dfrac{5x}{x\sqrt{34}}\)
\(\cos \theta=\dfrac{5}{\sqrt{34}}\)
Therefore, the value of \(\cos \theta\) is \(\dfrac{5}{\sqrt{34}}\).
car rental company a charges an $80 service fee plus $22 per day. car rental company b does not have a service fee and charges $32 per day. which equation will help determine how many days it will take for the average charge per day for company a to be the same as the average charge per day for company b?
It will take 8 days for the average charge per day for company a to be the same as the average charge per day for company b.
The charges incurred by these companies are given by the word expression -
Total charge = Service fee + Fee per day. Equating the expressions by keeping values of both companies. Let us represent each day by z.
80 + 22x = 0 + 32x
Rewriting the equation
32x - 22x = 80
Performing subtraction on Left Hand Side of the equation
10x = 80
Shifting 10 to Right Hand Side of the equation
x = 80/10
Performing division on Right Hand Side of the equation x = 8
On eight days, the charge will be equal.
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If you calculate sle to be $25,000 and that there will be one occurrence every four years (aro), then what is the ale?
If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.
What is Single-loss expectancy (SLE)?A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.
Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.
IT professionals must consider a wide range of risks, including the following:
Errors caused by humansCyber attacks, unauthorised data disclosure, or data misuse are examples of hostile action.Errors in applicationSystem or network failuresPhysical harm caused by fire, natural disasters, or vandalism.To know more about the Single-loss expectancy (SLE), here
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Jada has a new puppy that weighs 9 pounds. the vet says that the puppy is now at about 20% of its adult weight. what will be the adult weight of the puppy?
The adult weight of the puppy calculated using percentage is 45 pounds .
In mathematics, a value or ratio that can be expressed as a simple fraction of 100 is known as a percentage.
When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.
As a result, the proportion refers to a component per 100. The word percent denotes a percentage of 100.
It is represented by the symbol "%." Percentages can also be written as decimals or fractions, like in 0.6%, 0.25%, etc.
Academic grades are calculated using percentages for every subject. Ram, for example, received a 78% on his qualifying exam.
The weight of the puppy is 9 pounds.
This is 20% of the adult weight.
Let the adult weight be x.
therefore 20% of x = 9
Calculating we get x = 45 pounds
Hence the adult weight of the puppy is 45 pounds.
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Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet? 439.6 feet 3846.5 feet 109.9 feet 1758.4 feet
Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
What is the Length of an Arc?Using the formula for arc length, it is possible to determine the length of an arc that contains a circle by providing the radius and the central angle.
AL = ∅/360 × 2πr
Considering that the new area is a quarter circle in shape, then ∅ = 90°.
Raidus (r) = 70 ft
The distance between the point of departure to the place of departure again= arc length.
Al = ∅/360 × 2πr = 90/360 × 2π(70)
Al = 109.9 feet
In conclusion, According to the hypothesis, the distance from the point of departure to the point of arrival is equal to the length of the arc, which is equal to 109.9 feet.
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CQ
The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle: A sector showing a quarter of a circle is drawn. The radius is marked as 70 feet. The endpoints of the arc of the sector are marked as Starting Point and Return Point. The sector is filled with cattle. Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet? 439.6 feet 3846.5 feet 109.9 feet 1758.4 feet
A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of uniform width, equal to the area of the pool, must surround it. How wide is the strip of the deck? What are the length and width of the pool?
The length and breadth(width) of the pool are
\(l\approx15.7m\text{ and }b\approx7.7m\)
Let
\(l=\text{length of the side of the pool}\\b=\text{breadth of the pool side}\\w=\text{the width of the strip of deck surrounding the pool}\)
From the question, we can build the following relationships
\(l+2w=20\\b+2w=12\)
subtracting to eliminate \(w\) (we do not even need it!)
\(l-b=8\\b=l-8\)
we can also build another relationship from the question. Since the area of the strip equals the area of the pool:
\(lb+lb=2lb=20\times 12\\lb=120\)
We have two unknowns, \(l\) and \(b\). Eliminate \(b\)
\(lb=120\\l(l-8)=120\\l^2-8l-120=0\)
If we solve the quadratic equation for \(l\), we get
\(l=4+2\sqrt{34}\approx 15.7m\)
and
\(b=l-8\\b=(4+2\sqrt{34})-8\\b=2\sqrt{34}-4\approx7.7m\)
The length and breadth(width) of the pool are
\(l\approx15.7m\text{ and }b\approx7.7m\)
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Consider the t distribution with 5 degrees of freedom. (a) What proportion of the area under the curve lies to the right of t = 2.015?
The proportion of the area under the curve that lies to the right of t = 2.015 in a t-distribution with 5 degrees of freedom can be calculated using the t-distribution function in a statistical software package such as R.
The answer is approximately 0.9522. This means that 95.22% of the area under the curve lies to the right of t = 2.015. This indicates that the probability of observing a value of t greater than 2.015 is quite high.
This is because the t-distribution with 5 degrees of freedom has a larger spread than the normal distribution, which means that the probability of observing values further from the mean is greater.
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8. Which of the following numbers is prime? 14 51 47 27
9. Which of the following numbers is composite? 2 19. 17 15
Answer:
8: 14 is the prime number
9: 15 is the composite number
Step-by-step explanation:
I hope this helped :)
Answer:
PRIME: 2, 17, 19, 27, 27
COMPOSITE: 14, 15, 51
Step-by-step explanation:
Hope this helps:)
What is the greatest common factor of 50, 15, and 45?
Answer:
5
Step-by-step explanation:
the greatest common factor of 50, 15, and 45 is 5
Given :
we need to find the greatest common factor of 50, 15, and 45
Lets write the prime factors for each number
Prime factors
\(50 =5 \cdot 5 \cdot 2\\15= 5 \cdot 3\\45= 3 \cdot 3\cdot 5\)
Now we look at the common factor for all the three numbers
Greatest common factor is 5
the greatest common factor of 50, 15, and 45 is 5
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Please help!!!
Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.
1. (3.0) dilated by scale factor of 1/3 a (0, 6)
2. (3,4) dilated by scale factor of 1/3 scale factor b (1,0)
3. (0,4) after dilation with a scale factor of 1/3 c (0, 4/3)
4. (3,0) after dilation with a scale factor of 3/2 d (1, 4/40
5. (3,4) after dilation with scale factor of 3/2 e (9/2, 0)
6. (0,4) after dilation with a scale factor of 3/2 f (9/2, 6)
The required (0,4) after dilation with a scale factor of 1/3 is (0, 4/3). Option C is correct.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
Since let the coordinate before dilation be (x, y),
Now when applying the scale factor to the coordinate, the transformation equation is given as,
(X, Y) = (sx , sy) where s is the scale factor,
Since matching the above equation with the option,
(3.0) dilated by a scale factor of 1/3 a (0, 6) (False)
(3,4) dilated by a scale factor of 1/3 scale factor b (1,0) (False)
(0,4) after dilation with a scale factor of 1/3 is (0, 4/3) (True)
Thus, the required (0,4) after dilation with a scale factor of 1/3 is (0, 4/3). Option C is correct.
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consider a binomial experiment with 2 trials and p 0.4. a. compute the probability of 1 success, f(1). b. compute f(0). c. compute f(2). d. find the probability of at least one success. e. find the expected value, variance, and standard deviation
The expected value is 0.8, variance is 0.48, and standard deviation is 0.693 with the given probability.
a. The probability of getting one success in two trials with p=0.4 is given by the binomial probability formula:
f(1) = 2C1 * (0.4)^1 * (0.6)^1 = 0.48
b. The probability of getting zero successes is:
f(0) = 2C0 * (0.4)^0 * (0.6)^2 = 0.36
c. The probability of getting two successes is:
f(2) = 2C2 * (0.4)^2 * (0.6)^0 = 0.16
d. The probability of at least one success is:
P(at least one success) = 1 - P(no success)
= 1 - f(0)
= 1 - 0.36
= 0.64
e. The expected value of a binomial distribution with n trials and probability of success p is given by:
E(X) = np
In this case, n = 2 and p = 0.4, so:
E(X) = 2 * 0.4 = 0.8
The variance of a binomial distribution is given by:
Var(X) = np(1-p)
So:
Var(X) = 2 * 0.4 * 0.6 = 0.48
The standard deviation is the square root of the variance:
SD(X) = sqrt(Var(X)) = sqrt(0.48) = 0.693.
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Convert 4,700,000,000 from standard form to scientific notation. 470 × 107 47 × 108 4.7 × 109 478
Answer:
4.7 * 10 ^9
Step-by-step explanation:
4,700,000,000
Scientific notation is of the form
a * 10 ^b where a is a number between 1 and less than 10
Move the decimal so that it is a number between 1 and less than 10
4,700,000,000 becomes 4.700000000 and we moved the decimal 9 places to the left b is +9 ( positive because we moved to the left) We can drop the extraneous zeros
4.7 * 10 ^9
help. geometry question
Statement 1, BD ≅ SD and ED ≅ TD would not be sufficient to prove quadrilateral BEST is a parallelogram.
How to determine that a quadrilateral is a parallelogram?A quadrilateral is a parallelogram if it satisfies any of the following conditions: Opposite sides are parallel and congruent, Opposite angles are congruent, Diagonals bisect each other. If a quadrilateral satisfies any of these conditions, it is a parallelogram.
Although BD ≅ SD and ED ≅ TD indicate that the diagonals bisect each other, it does not necessarily mean that the opposite sides are parallel. For example, a kite has diagonals that bisect each other but its opposite sides are not parallel.
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trigonometry *find the value of x*
\( \cos(x) = \frac{b}{h} \\ \cos(x) = \frac{4 .9}{6.8} \\ \cos(x) = 0.720 \\ x = \cos^{ - 1} (0.720) \\ x = 44 \degree\)
Answer:
x ≈ 44°
Step-by-step explanation:
We will use a trigonometry function to solve for x. We can see that we have values for the adjacent side and hypotenuse. This means we will be using cosine. Cosine is \(\frac{adjacent }{hypotenuse}\)
cos(x) = \(\frac{adjacent }{hypotenuse}\) [Given]
cos(x) = \(\frac{4.9}{6.8}\) [Plug-in the values we have]
x ≈ 43.8969 [Find the inverse cosine function of both sides]
x ≈ 44° [Rounding to nearest degree]
What is the inverse of the function g(x)=x^3/8+16?
The inverse of the function for \(g^{}(x) = \frac{x^{3} }{8}+16\) is \(g^{-1}(x)=2\sqrt[3]{x-6}\)
What is inverse of the function?"The inverse function of a function f (also called the inverse of f ) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by \(f^{-1}\)."
We have
\(g^{}(x) = \frac{x^{3} }{8}+16\)
Replace g(x) with y
\(y =\) \(\frac{x^{3} }{8}+16\)
Interchange the variables
\(x= \frac{y^{3} }{8}+16\)
Rewrite the equation as
\(\frac{y^{3} }{8}+16= x\)
⇒\(\frac{y^{3} }{8}= x-16\)
Multiply both sides of the equation by 8
\(8.\frac{y^{3} }{8}=8(x-16)\)
⇒\({y^{3} }=8(x-16)\)
⇒\({y^{3} }=8x-128\)
⇒\({y} }=\sqrt[3]{8x-128}\)
⇒\({y} }=2\sqrt[3]{x-6}\)
Replace y with \(g^{-1}(x)\)
⇒\(g^{-1}(x)=2\sqrt[3]{x-6}\)
Hence, The inverse of the function for \(g^{}(x) = \frac{x^{3} }{8}+16\) is \(g^{-1}(x)=2\sqrt[3]{x-6}\)
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Describe the error in finding the measure of one exterior angle of a regular polygon.
The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.
The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.
The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.
For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.
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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
Given that,
There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
Here, at each vertex there are two angles.
So, there must be 5 vertices and 5 sides.
Then, the measure of one exterior angle = 360°/5
= 72°
Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
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"Your question is incomplete, probably the complete question/missing part is:"
Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
Plllzzzzz help quick
Answer:
also click the first choice. It has 10 sides.
Step-by-step explanation:
1440=(N-180)-360
N-180=1080
n=10 sides
Answer: The answers would be A
Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?
in general, the strictest standards with the lowest acceptable levels are the
Answer:
Step-by-step explanation:
are the what???
True or False
4x + 2y - x = 3x + 2y
Answer:
False
Step-by-step explanation: