Write an equation and determine the value of x in the triangle. Then find the measure of each angle.

Answer:

B. 1/6

Step-by-step explanation:

The inter-quartile range of the given data set is 13

The interquartile range (IQR) measures the spread of the middle half of your data. It is the range for the middle 50% of your sample. Use the IQR to assess the variability where most of your values lie. Larger values indicate that the central portion of your data spread out further.

Given data is : 3, 16, 18, 25, 26, 29, 31, 50

The median of the given data is 25.5

Now, we have to find the median for data 3,16,18 and 25 which is 17.

Lastly we have to find the median for the data 26, 29, 31, and 50 which is 30.

Hence, the inter quartile range is

= Q3 -Q1

= 30-17

=13

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Answer:

Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Step-by-step explanation:

The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Answer:

B on Edge

Step-by-step explanation:

yes, because the width of the arch is 9.6 feet

Answer:

10054.4m^3

Step-by-step explanation:

Given data

Height= 32m

Diameter= 20m

Radius= 10m

The expression for the volume of a cylinder is given as

V= πr^2h

Substitute

V= 3.142*10^2*32

V= 3.142*100*32m^3

Hence the volume is 10054.4m^3

Answer:

cylinder with a height of 8m and a diameter of40m

cylinder with a height of 128m and a diameter of 10m

Step-by-step explanation:

got it right on edge may 2021. also sub to Troy's Movies on you tube

Answer:

Explanation:

To evaluate the difference:

First, rewrite the expression in the form below:

Next, factor out the powers of 10.

Thus, the difference written in scientific notation is:

Note: A number is in scientific notation if it is expressed as a product of a number (between 1 and 10) and a power of 10.

Answer: yards best for measuring distances

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

68.362/7.12

Multiply the top and bottom by 1000

68362/7120

Rounding to the nearest 1000

70000/7000

10

There is no diagram for illustration but I will explain each option using assumptions

Answer and explanation:

If Emily divides -15 by 5, the result would be

-15/5=-3

The arrows should point in the negative direction: yes we have a negative result hence -3 should be on the negative side of the number line

The small arrows should end in the same place as the large one: this should be known from the diagram but I assume we are talking about decimal numbers in between whole numbers on the number line. The small arrows for decimals and the large ones for the whole numbers. Here the result is -3 therefore we should have a large arrow pointing to it, and not a small arrow

The arrows should end on negative 15: our result is -3 or negative 3 therefore the arrow should end on negative 3 and not negative 15.

The arrows should start at zero: zero is like the boundary between negative and non negative numbers. Arrows should count from 0 to negative or non negative direction on the number line

There should be 5 small arrows: there should be large arrows and less than 5 counts as our result is negative 3 and not 5

Answer:

32 degrees

Step-by-step explanation:

The interior angles of a triangle always add up to 180.

Subtract the sum of 106 and 42 from 180.

180-(106+42)

180-(148)

32

x is equal to 32 degrees.

Answer:

$33.92 ($1.92 in tax)

Step-by-step explanation:

% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.

 $32.00

+   $1.92

=$33.92 total.

Answer:

The volume of the cone is 16.8 in cubed.

Step-by-step explanation:

The formula for a cone is πr^2 multiplied by h/3. The r is radius and h is height. So throwing in the values for the variables we get 16.8 in cubed.  

Answer:

The solution to the system of equations is the same as the intersection coordinates of the two lines representing the equations in the system.

Step-by-step explanation:

PLATO

Answer:  The solution to the system of equations is the same as the intersection coordinates of the two lines representing the equations in the system.

For your second question

1. There  ARE TWO POINTS where the line for the equation y=2x+2 intersects the parabola.

2. There  IS ONE POINT where the line for the equation y=1 intersects the parabola.

3. There  IS NO POINT where the line for the equation y=2x-4 intersects the parabola.

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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The area of the region bounded by the parabola, the tangent line to this parabola at the point, and the axis is 20/3.

The area of the region bounded by the parabola y=x2, the tangent line to this parabola at (1,1) and the x-axis can be calculated by using integration.

First, we note that the equation of the tangent line to the parabola at (1,1) is y=2x-1. Then, the area of the region can be calculated by the equation:
A=∫01 (2x-1) - (x2)dx
A=∫01(x-x2)dx
A=∫01x dx - ∫01x2dx
A= (x2/2) |01 - (x3/3) |01
A=(1/2) - (1/3)
A=1/6
Let the given parabola be\(y^2=4ax\).

So, the equation of tangent at

\((a,a^2/4) is y=a^2/4 + (x-a)\).On solving this with the parabola equation we get,

x=3a/2, y=3a/2

So, the x intercept is 3a/2 and hence the required area is :∫\((3a/2)(a^2/4)\)dx + ∫\((a/2)(3a/2 - a^2/4)\) dx...on solving this, we get,\(20a^2/12 = 5a^2/3\)= 20/3.

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Answer:

(-2, -1)

Step-by-step explanation:

The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.

If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)

Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.

If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.

Hope this helps :)

Answer:

x = 3

Step-by-step explanation:

A___B___C

AC = AB+ BC

5x +15 =(2x+4) + ( 20)

5x + 15 = 2x + 24

5x - 2x = 24 - 15

3x = 9

x = 9/3

x = 3

I hope I helped you^_^

The axis of symmetry of g(x) is 2 units right side from the origin then the function is \(\rm g(x) = (x - 2)^2 + k\). Then the correct option is A.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function f(x) is \((x+3)^2 - 10\).

The axis of symmetry of f(x) is left side by 3 units.

The axis of symmetry of g(x) is 5 units to the right of f(x).

Then the axis of symmetry of g(x) is 2 units right side from the origin.

Then the g(x) will be

\(\rm g(x) = (x - 2)^2 + k\)

Thus, the correct option is A.

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Answer:

The answer is A

Step-by-step explanation:

:)

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

Answer:

D. 13 Units

Step-by-step explanation:

I just took the test

Expression for the nth term of the sequence: (n + 1) / (n + 3).The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.

To find the expression for the nth term of the sequence, we observe that each term can be expressed as (n + 1) divided by (n + 3), where n represents the position of the term in the sequence.

Let's verify this formula with the given terms:

For n = 1: (1 + 1) / (1 + 3) = 2 / 4 = 1/2 (first term of the sequence)

For n = 2: (2 + 1) / (2 + 3) = 3 / 5 (second term of the sequence)

For n = 3: (3 + 1) / (3 + 3) = 4 / 6 (third term of the sequence)

For n = 4: (4 + 1) / (4 + 3) = 5 / 7 (fourth term of the sequence)

For n = 5: (5 + 1) / (5 + 3) = 6 / 8 = 3 / 4 (fifth term of the sequence)

Therefore, the first five terms of the given sequence are: 1/2, 3/5, 4/6, 5/7, 3/4.

The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.

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Answer:

a)

Step-by-step explanation:

additions do not work in general that way when we consider a mixture of positive and negative numbers.

e.g.

x = 3, y = -5

|3 + -5| >= |3| + |-5|

|-2| >= 3 + 5

2 >= 8

is definitely not true.

so, for positive/negative number mixtures a) is wrong.

b) works because

if x >= y, then |x - y| >= |x| - |y|. equal when x and y > 0. larger when x and/or y < 0. correct

if x < y, then |x - y| >= |x| - |y|. larger when x and y > 0.

equal when x and/or y < 0.

c) and d) work because the signs don't change anything. either the result is positive anyway, or if negative just gets converted to the positive result.

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

Answer:

32 units

Step-by-step explanation:

Answer: $244.20

Step-by-step explanation:

The amounts listed are per $1,000 of coverage so if the coverage is $110,000, first find the number of $1,000 coverages this entails:

= 110,000 / 1,000

= 110

Then multiply this by the cost per $1,000 for a 22 year old female for a 5 year policy:

= 110 * 2.22

= $244.20

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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Answer:

He got the -2 from the description since he said he was going to plug -2 to replace x to get y

Step-by-step explanation:

Answer:

John:Peter: Mary

$48:$96:$216

Step-by-step explanation:

john: Peter: Mary

2:4:9

so add 2+4+9=15

John

$360 ÷ 15 × 2 = $48

Peter

$360 ÷ 15 × 4 = $96

Mary

$360 ÷ 15 × 9 = $216

Answer:

m = 2/3

Step-by-step explanation:

slope is equal to rise/run

rise = y2 - y1 = 7 - 1 = 6

run = x2 - x1 = 3 - (-6) = 9

simplify 6/9 = 2/3

The variance for acceptable products in the sample is 11.76.

The variance for  a random variable X representing the number of acceptable products in the sample can be determined using the formula:

Var(X) = n * p * (1 - p)

Where:

n is the number of products in the sample

p is the probability of a product being acceptable

In this case, n = 600 and p = 98% = 0.98

Substituting the values into the formula:

Var(X) = 600 * 0.98 * (1 - 0.98)

Var(X) = 600 * 0.98 * 0.02

Var(X) = 11.76

Therefore, the variance for acceptable products in the sample is 11.76.

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Answer:

10 sides

Step-by-step explanation:

Deca means 10 (decameter/decahedron/decagon)

Answer: 10 sides

Step-by-step explanation:

There are a list of suffixes for a "-gon"

- Pentagon=5 sides

- Hexagon=6 sides

- Heptagon=7 sides

- Octagon=8 sides

- Nonagon=9 sides

- Decagon=10 sides

- Hendecagon=11 sides

- Dodecagon=12 sides

Therefore, if the polygon is a decagon, then it has 10 sides

Hope this helps!! :)

Please let me know if you have any questions

Answer:

is there a graph or any other options to go with this?

Step-by-step explanation: