Answers
Answer:
m∠QRS = 30°
Step-by-step explanation:
An inscribed angle has half the measure of the intercepted arc.
(arc QS)/2 = 60°/2 = 30°
The measure of angle QRS is 30°.
Related Questions
From the ten books that you've recently bought but not read, you plan to take four with you on vacation. How many different sets of four books can you take
Answers
Answer:
Step-by-step explanation:
2 sets of books
The heights of a group of trees is normally distributed with a mean of 14.3 feet. If the z score for a 20-foot y’all tree is 1.9, what is the standard deviation?
Answers
Answer:
The standard deviation of the heights of the group of trees is 3 feet
Step-by-step explanation:
For a normal distribution, the z-score corresponding to a particular observed value is calculated as;
z-score = (observed value - mean) / (standard deviation)
The mean is given as 14.3
The z-score is 1.9
The observed value is 20 (the given height)
We can make the standard deviation to be the subject of the formula in the above equation;
standard deviation = (observed value - mean) / ( z-score)
We then substitute the given values into this equation;
standard deviation = [tex]\frac{20-14.3}{1.9}=3[/tex]
The largest prime number is a factor of 42 is multiplied by the smallest prime number tht is a factor of 28
Answers
Answer:
14
Step-by-step explanation:
largest prime number which is a factor of 42=7
smallest prime number which is a factor of 28=2
7x2=14
Answer:
14
Step-by-step explanation:
largest prime number which is a factor of 42=7
smallest prime number which is a factor of 28=2
7x2=14
Sondra wants to put a fence in a triangular area of her backyard as shown in the illustration. The fence will enclose a right triangle, with two of the sides measuring 8 yards and 15 yards long. How long will the third side of the triangle be?
(the question did not contain an illustration)
Answers
17 yards. The fence that enclose Sondra's backyard is a right triangle whose sides measuring 8 yards, 15 yards and 17 yards respectively.
The key to solve this problem is using the Pythagorean Theorem that dictates; In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs and the equation hypotenuse²=leg1²+leg2².
For this problem we know the measuring of two side, which mean that we can apply Pythagorean Theorem equation as follow:
Let's say that one of the side is a = 8yards, and the other side is b = 15yards. So, we want to know how long the third side c long.
Applying the Pythagorean Theorem:
[tex]c^{2} =a^{2}+b^{2} \\c=\sqrt{a^{2}+b^{2}}[/tex]
Substituting the values of the sides a and b:
[tex]c=\sqrt{(8yards)^{2}+(15yards)^{2}}\\c=\sqrt{64yards^{2}+225yards^{2}}\\c=\sqrt{289yards^{2}}\\c=17yards[/tex]
Answer:
17 yds
Step-by-step explanation:
Lacking further info about this situation, I will assume that 8 yards and 15 yards represent the two legs of this right triangle, and not the hypotenuse. If that's the case, then the hypotenuse is found by applying the Pythagorean Theorem:
(8 yd)² + (15 yd)² = hyp², or
64 yd² + 225 yd² = 289 yd²
Taking the square root of this result yields 17 yds.
The third side will be 17 yds long.
Select the statement that is NOT equivalent to-- "It is not true that England and Africa are both countries."
a. If England is a country, then Africa is not a country.
b. England is not a country and Africa is not a country.
c. England is not a country or Africa is not a country.
d. If Africa is a country, then England is not a country
Answers
The original statement is true only if:
England is a country and Africa isn'tAfrica is a country and England isn'tNeither of them are countriesOptions a and d are equivalent:
[tex]P\implies Q \iff \lnot Q \implies \not P[/tex]
and they both are true in the same cases as above.
Option c is also fine, because it is false only if both England and Africa are both countries, just like the original statement.
Option b, instead, is true only if neither of the two options are countries, so it doesn't cover the cases where only one of the two is a country.
Answer:
Both are cities smh ♂️
Step-by-step explanation:
The diameter of the base of the cone measures 8 units.
The height measures 6 units.
What is the volume of the cone?
A)240 cubic units
B)321 cubic units
C)48X cubic units
D)647 cubic units
Answers
Answer: [tex]32\pi[/tex] cubic units.
Step-by-step explanation:
You can use this formula for calculate the volume of a cone:
[tex]V_{cone}=\frac{1}{3}\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:
[tex]r=\frac{8units}{2}\\\\r=4units[/tex]
Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:
[tex]V_{cone}=\frac{1}{3}\pi (4units)^2(6units)[/tex]
[tex]V_{cone}=32\pi \ units^3[/tex]
Answer:
b. 32
Step-by-step explanation:
e2020 says so
Will give BRAINLIEST
How much cash did Vera receive
Answers
Answer:
1040.70 is the answer
Step-by-step explanation:
that is the total
Answer:
$80.00
Step-by-step explanation:
The deposit slip shows the value Vera received. If you look closely at the right side of the ticket has a one table, next to the table, has the denomination of each field of the table. The penultimate denomination is called "Less cash received" that represents the amount Vera wants to receive directly from that check. That is, vera received 80.00 dollars.
What are the angle measures of triangle VUW?
A) m∠V = 30°, m∠U = 60°, m∠W = 90°
B) m∠V = 90°, m∠U = 60°, m∠W = 30°
C) m∠V = 30°, m∠U = 90°, m∠W = 60°
D) m∠V = 60°, m∠U = 90°, m∠W = 30°
Answers
Answer:
its option D
Step-by-step explanation:
The angle measures of triangle VUW is D) m∠V = 60°, m∠U = 90°, m∠W = 30°
What are the 3 angles of a triangle?
All three angles in any triangle always upload as many as 180 degrees. So in case you best have of the angles with you, just upload them together, after which subtract the sum from 180. EX: A Triangle has three angles A, B, and C.
What is the angle measure formula?The method for finding the sum of the measure of the indoor angles is (n - 2) * 180. To discover the degree of 1 indoors perspective, we take that method and divide via the range of aspects n: (n - 2) * a hundred and eighty / n.
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Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.
Answers
ANSWER
[tex]- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]
EXPLANATION
The given vector is v = −14.5i + 2.5 j.
The magnitude of this vector is
[tex] |v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]
[tex]v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]
[tex]v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2} [/tex]
The unit vector in the direction of this vector is
[tex] = \frac{v}{ |v| } [/tex]
[tex] = - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j[/tex]
[tex] = - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]
Drag the tiles to the boxes to form correct pairs. Match each mixed number to its equivalent decimal number.
20 4/5 , 20 1/5 , 20.75 . 20.875 , 20.8 , 20 3/4 , 20 7/8 , 20.2 .
Answers
Answer:
20 3/4 is to 20.75
20 1/5 is to 20.2
20 7/8 is to 20.875
and 20 4/5 is to 20.8
The matching of each mixed number to its equivalent decimal number is given below -
What is the matching of each mixed number to its equivalent decimal number ?The mixed number is represented as a b/c where a, b, c are three positive non zero integers .
Mathematically -
a b/c = {(a*c) + b}/ c
Thus, the matching of each mixed number to its equivalent decimal number is -
20 3/4 is to 20.7520 1/5 is to 20.220 7/8 is to 20.87520 4/5 is to 20.8To learn more about mixed number, refer -
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please please help! A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec^2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10. What is the velocity of the car when t = 6? You must show your work and include units in your answer.
Answers
Answer:
42 ft/s
Step-by-step explanation:
The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is (10+4)/2 = 7 ft/s^2, so the change in velocity is ...
(7 ft/s^2)(6 s) = 42 ft/s
The velocity of the car at t=6 is 42 ft/s.
The velocity of the car at t=6 is 42 ft/s.
The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is [tex](10+4)/2 = 7 ft/s^2[/tex], so the change in velocity is ...
[tex](7 ft/s^2)(6 s) = 42 ft/s[/tex]
The velocity of the car at t=6 is 42 ft/s.
100 POINTS AND BRAINLIEST
please answer #4 and #5
Answers
4. His percentage is 79% so making each shot is 79%
Multiply the percent for each shot for each shot:
Making two shots = 0.79 x 0.79 = 0.624 = 62.4% Round the answer to 62% if needed.
5. They have 4 different flavors and 6 different toppings.
a. Picking vanilla is 1 out of 4 = 1/4 and picking chocolate chips is 1 out of 6 = 1/6.
The probability of picking both is 1/4 x 1/6 = 1/24
b. There are a total of 10 different things to pick.
Picking chocolate ice cream is 1 out of 10 = 1/10, picking marshmallow topping is 1 out of 10 = 1/10
Picking one or the other would be 2 out of 10 = 2/10 which reduces to 1/5
Answer:
4. 79%
5. 1/24 and 1/5 for part a and b
The graph of a linear function has a slope of 1/4 and passes through the point (1,3). What is the y-intercept of the function?
A. b=1/4
B. b=11/4
C. b= -1/4
D. b=4
Answers
Answer:
B
Step-by-step explanation:
In slope intercept form, y = mx + b, the m is the slope, the b is the y intercept, and x and y can be subbed in from the point you are given of (1, 3). We are told the slope, so everything we have fills in like this:
[tex]3=\frac{1}{4}(1)+b[/tex]
Now we just need to solve for b:
[tex]3-\frac{1}{4}=b[/tex] and
[tex]\frac{12}{4}-\frac{1}{4}=b[/tex] so
[tex]b=\frac{11}{4}[/tex]
On the main floor of a theatre the number of seats per row increases at a constant rate. Jack counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20
Answers
Answer: 65 seats in row 20
Step-by-step explanation: 3 = 31, 6 = 37 the difference is 3 rows but 6 seats so its going up 2 every row therefor you need 14 rows after row 6 so 14 * 2 + 37 = 65 seats
By finding a linear equation, we will see that on the row 20 there are 65 seats.
How many seats are in row 20?
Here we have a linear relationship, that can be written as:
y = a*x + b
Where a is the slope and b the y-intecept.
We know that if a line passes through two points (x₁, y₁) and (x₂, y₂), the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we have points of the form (row, seats), and the two points that we have are:
(3, 31) and (6, 37)
So the slope is:
[tex]a = \frac{37 - 31}{6 - 3} = 2[/tex]
So the equation is:
y = 2*x + b
To find the value of b, we replace one of the points in the equation. If we use the first one, we have x = 3 and y = 31, so:
31 = 2*3 + b
31 = 6 + b
31 - 6 = 25 = b
The equation is:
y = 2x + 25
The number of seats in row 20 is what we get if we replace x by 20, then:
y = 2*20 + 25 = 65
If you want to learn more about linear equations, you can read:
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7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40. If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
f(c) = 17.12c - 14.56c + 5.4c - 1.20c
f(c)=14.56c - 17.12c + 1.20c - 5.40c14.56c - 17.12c + 12(.5c) - 5.40(.5c)
Answers
Answer:
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
Step-by-step explanation:
Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.
Answer:
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
Step-by-step explanation:
Let's build the f(c) function by steps.
There are c customers.
John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.
So, the costs for the restaurant are negative, and what takes positive.
f(c) =17.12c -14.56c
Now the final part
John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.
Half of these customers order a beverage, and this is why we multiply by 0.5.
So
f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
Can someone help me out
Answers
Answer:
88?
Step-by-step explanation:
Since XPY is a lot smaller and 23 degrees, 88 degrees makes the most sense.
Please help me out with this
Answers
Value of x is 140
Tangent are present that means those angles are of 90° and 90° + 90° = 180°
One angle is already given 40°
By angle sum property of Quadrilateral
We can get its value
Love from India❤
Please please help me
Answers
The area of a parallelogram is given by
[tex]A=bh[/tex]
Now, if we consider the 9.9 inches side as the base, then the height is the one labeled with 5.5 inches.
If instead we choose the 11 inches side as the base, the height is h.
So, we can express the area in this two equivalent ways:
[tex]A = 9.9\cdot 5.5 = 11\cdot h[/tex]
Solving for h, we have
[tex]h = \dfrac{9.9\cdot 5.5}{11} = 4.95[/tex]
Kim and her two brothers each use one and a half cups of milk for breakfast. How many fluid ounces of milk do they use in four days
Answers
Answer: 48 fl oz ( fluid ounces )
Explanation:
1 c = 8 fl oz
1 1/2 c = 12 fl oz
12 fl oz of milk × 4 Days =
48 fl oz in four days
The exam had 60 questions. Phelix got 85 •/• (percent) correct. How many questions did he answer correctly?
Answers
felix got 51 questions correct
how many revolutions does each tire make while traveling 500 feet? Include the calculations and provide appropriate units (sorry that the picture isn’t great)
Answers
Answer:
tire A=39 revolutions
tire B=38 revolutions
tire C= 37 revolutions
Step-by-step explanation:
The question is on circumference
Tire A diameter = 15 +4.60+4.60=24.20 inches
Tire B diameter= 16+4.43+4.43=24.86 inches
Tire C diameter=17+4.33+4.33=25.66 inches
Finding the circumference/single revolution
Tire A = 2×3.14×24.20=151.98 inches
Tire B= 2×3.14×24.86=156.12 inches
Tire C=2×3.14×25.66=161.15 inches
Number of revolutions made
Track length=500 feet.............change feet to inches
500×12=6000inches
Revolutions for tire A= 6000/151.98 =39.47⇒39 revolutions
Revolutions for tire B=6000/156.12 =38.43⇒38 revolutions
Revolutions for tire C= 6000/161.15 =37.23⇒37 revolutions
HELP PLEASE I WILL GIVE 99 POINTS IM DESPERATE!
Ivan bought a box of macadamia nuts to bring home from his trip.What volume of nuts could the container hold?
Answers
18 x 15 x 3 is 810. The volume is 810. (Also you cant give 99 points but I’ll take a brainlist answer?)
Answer:
[tex]810\text{ cm}^3[/tex].
Step-by-step explanation:
We have been given an image of a container. We are asked to find the volume of nuts could the container hold.
We can see that our given container is in form of cuboid, so we will use volume of cuboid formula to solve our given problem.
[tex]\text{Volume of cuboid}=\text{Length*Width*Breadth}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{Volume of container}=18\text{ cm}\times 15\text{ cm}\times 3\text{ cm}[/tex]
[tex]\text{Volume of container}=810\text{ cm}^3[/tex]
Therefore, the container can hold 810 cubic cm of macadamia nuts.
Zeituni's standard deduction on her federal income tax return is $5700. If she paid $4670 in state taxes and $1180 in mortgage interest last year, should she use her standard deduction?
A. Yes, because it's less than the deduction she would get from itemizing.
B. No, because it's less than the deduction she would get from itemizing.
C. No, because it's more than the deduction she would get from itemizing.
D. Yes, because it's more than the deduction she would get from itemizing.
Answers
No, she should not use her standard deduction because it is less than the deduction she will get from itemizing OPTION B is correct answer.
What is Standard deduction ?
Standard deduction is that amount of someone's income, for which tax is not to be paid, thus reducing the tax bill amount. The amount of the standard deduction is based on one's filing status, age, disability, dependency etc.
Zeituni's standard deduction on her federal income tax return is $5700.
she paid $4670 in state taxes and $1180 in mortgage interest last year, totaling to = $4670+ $1180
= $5850
So, no, she should not use her standard deduction because it is less than the deduction she will get from itemizing.
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Zeituni should itemize her deductions, as the total of her state taxes and mortgage interest ($5850) is more than her standard deduction ($5700). So the correct answer is B.
Explanation:To decide whether Zeituni should use her standard deduction or itemize her deductions, we should add up her state taxes and mortgage interest. The total of her state taxes ($4670) and mortgage interest ($1180) comes to $5850. Comparing this with her standard deduction of $5700, we can see that $5850 is more than $5700. Thus, the better option would be for Zeituni to itemize her deductions.
So the answer is B. No, because it's less than the deduction she would get from itemizing.
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50 points, Based on the table, write a function rule that represents the relationship between x and y.
Answers
Answer:
y = (1/2)|x -8| -3
Step-by-step explanation:
The first five points fall on a straight line with a slope of ...
∆y/∆x = -0.5/1 = -0.5
The last point is not on that line.
So, several options are available:
write a piecewise function with f(10) having a special definition: y={1-x/2, x≠10; -2, x=10}write a piecewise function with any definition for x > 5 such that f(10) = -2: y={1-x/2, x≤6; -2, x>6}use a function, such as absolute value, that changes slope in a way that makes f(10) = -2. Such a function is shown in the first attached graphsimply list the points. Such a list is a "function rule". (x, y) ∈ {(1, 0.5), (2, 0), (3, -0.5), (4, -1), (5, -1.5), (10, -2)}.Represent 372.3 in expanded notation two different ways.
Answers
Answer:
Expanded Notation Form:
300 + 70 + 2 + 0.3= 372.3
Expanded Factors Form:
3 x 100 + 7 x 10 + 2 x 1 + 3 x 0.1 = 372.3
Hope this helps!!
The Eiffel Tower is 984 feet. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Eiffel Tower?
Answers
Answer:
The ratio is [tex]\frac{1}{492}[/tex]
Step-by-step explanation:
Remember that
1 ft=12 in
The Eiffel Tower is 984 feet
Convert to inches
984 ft=984*12=11,808 in
Find the ratio of the height of the model to the height of the actual Eiffel Tower
The height of the model is 24 in
The height of the actual Eiffel Tower is 11,808 in
the ratio is equal to
[tex]\frac{24}{11,808}=\frac{1}{492}[/tex]
That means----> The height of the actual Eiffel Tower is 492 times greater than the height of the model
To find the ratio of the height of the model to the actual Eiffel Tower, convert the model's height to feet (24 inches = 2 feet) and then divide by the tower's height (2 feet / 984 feet) to get the simplified ratio of 1:492.
Explanation:To calculate the ratio of the height of the model Eiffel Tower to the actual Eiffel Tower, we need to ensure both measurements are in the same unit. Since the actual Eiffel Tower's height is given in feet and the model's height is in inches, we will convert one of these measurements so they can be directly compared.
First, we convert the model's height from inches to feet. We know that 1 foot equals 12 inches, so:
24 inches × (1 foot / 12 inches) = 2 feet.
Now we have the model's height in feet, and we can form the ratio:
Height of model / Height of actual Eiffel Tower = 2 feet / 984 feet.
By simplifying this fraction, we get:
1 / 492.
So, the ratio of the height of the model to the height of the actual Eiffel Tower is 1:492.
Please please help me out
Answers
12x18.2/2=109.2 is the area of the big triangle and also the same area could be found 20 x h=109.2 so
h= 109.2/20=5.46 m
Please help me out please
Answers
Answer:
11.7
Step-by-step explanation:
a^2+b^2=c^2
10^2+6^2=c^2
100+36=c^2
add 100+36=136
square root of 136 = 11.6619037897
= 11.7
A hotel in Las Vegas, Nevada, is the largest pyramid in the United States. Prior to the construction of the building, the architects designed a scale model. The height of the scale model is 9 inches less than its length and its base is a square. If the volume of the model is 6300 cubic inches, write an equation describing the situation.
Answers
Answer:
The equation that describe the situation is
[tex]b^{3}-9b^{2}-18,900=0[/tex]
Step-by-step explanation:
we know that
The volume of a square pyramid is equal to
[tex]V=\frac{1}{3}b^{2} h[/tex]
where
b is the length side of the square
h is the height of the pyramid
we have
[tex]V=6,300\ in^{3}[/tex]
[tex]h=(b-9)\ in[/tex]
substitute the values and solve for b
[tex]6,300=\frac{1}{3}b^{2} (b-9)\\ \\18,900=[b^{3}-9b^{2}]\\ \\b^{3}-9b^{2}-18,900=0[/tex]
Using a graphing calculator
[tex]b=30\ in[/tex]
[tex]h=(30-9)=21\ in[/tex]
Answer:
A is correct on edge 2022
Step-by-step explanation:
Find the probability an observation is on a Thursday when the temperature is between 90 and 99. Find the probability an observation is on a Monday when the temperature is less than 90. Find the probability an observation is on a Friday when the temperature is greater than 89. Find the probability that the temperature is between 90 and 99, it will be a Thursday. Find the probability that if the temperature is between 110 and 120 and it will be a Sunday.
Answers
Answer:
Out of the 6 observations when the temperature is between 90 and 99, 2 are on Thursday.
2/6 = 33%
Out of the 4 observations when the temperature is less than 90, 1 was on Monday.
1/4 = 25%
Out of the 26 observations when the temperature is greater than 89, 4 were on Friday.
4/26 = 15%
Out of the 6 observations when the temperature is between 90 and 99, 2 are on Thursday.
2/6 = 33%
Out of the 1 observation when the temperature is between 110 and 120, none were on Sunday.
0%
To calculate probabilities of certain observations concerning different variables, we need relevant data pertaining to those variables. Without this data, it's challenging to calculate precise probabilities. In such cases, we use the closest available data or make educated assumptions.
Explanation:To find the probability of different observations, we need specific data that relates to those situations. For example, to find the probability that an observation is on a Thursday when the temperature is between 90 and 99, we would need historic data that captures temperature observations on Thursdays. Similarly, other probabilities also need specific data. For instance, to know the probability of an observation being on a Monday with temperature less than 90, or a Friday where the temperature is greater than 89, we would need historic temperature measurements for these specific days. However, since the provided information doesn't include specific data needed to calculate the probabilities asked in the question, we can't provide precise probabilities. Probability in statistics is generally calculated based on relevant data that is representative of the situation of interest. In situations where it is necessary to estimate the probability without access to specific data, we might use available data that is as closely matching as possible, or might make educated assumptions.
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