(20 POINTS!!) Find the probability that a multiple of 3 or an odd number is rolled on a number cube.

The horizontal distance between the base of the ladder and the wall is approximately 16.2 feet.

To answer the question, we need to use trigonometry. In this case, we can use the sine function, which relates the opposite side of a right triangle to its hypotenuse. In this case, the ladder is the hypotenuse, and the horizontal distance between the base of the ladder and the wall is the opposite side.

The angle formed by the ladder and the ground is the angle of interest.

Let x be the horizontal distance between the base of the ladder and the wall. Then, using the sine function, we have:

sin(64 degrees) = x/18

Multiplying both sides by 18, we get:

x = 18 sin(64 degrees) ≈ 16.2 feet

Therefore, the horizontal distance between the base of the ladder and the wall is approximately 16.2 feet.

It is important to note that when using trigonometry, we need to use the appropriate trigonometric function depending on the sides and angles we are given. In this case, we were given the hypotenuse and the angle opposite the horizontal distance, so we used the sine function.

For more such questions on horizontal

https://brainly.com/question/30197734

#SPJ8

Answer:

this is a trick question 176 fps is equal to 120 mph

so 120=120

Answer:

e

Step-by-step explanation:

\(volume~of~cone=\frac{1}{3}volume ~of~cylinder\\volume~of~cylinder=3 \times volume ~of~cone=3 \times15=45 \\volume ~of~two~cylinders=2 \times45=90\)

Answer:

Below

Step-by-step explanation:

The factors of 10 are 1, 2, 5, 10.

The factors of 25 are 1, 5, and 25.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 50: 1, 2, 5, 10, 25, 50.

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Answer:

me

Step-by-step explanation:

becaus im the bes guy

Answer:

3 : 4

Step-by-step explanation:

Given:

ratio of people who voted to total number of registered voters:

To find the approx ratio, round both numbers to the nearest hundred:

Therefore, 887 : 1213 ≈ 900 : 1200

The greatest common factor of 900 and 1200 is 300,

so we can reduce the ratio further by dividing both sides by 300:

⇒ 900 : 1200 = 3 : 4

Answer: The larger angle (Angle 2) is 120 degrees

Step-by-step explanation:

Let's call Angle 1 x and call Angle 2 y.

Two angles being supplementary means that they add to 180.

This means x+y=180

Angle 2 is twice the measurement of angle 1.

This means 2x=y and that we can sub 2x in for y

x+2x=180

3x=180

Now solve for x

\(3x=180\\\frac{3x}{3} =\frac{180}{3} \\x=60\)

We know the value of x, so now let's sub in to find the value of y

\(2x=y\\2(60)=y\\120=y\)

Answer:

2 is the answer

Step-by-step explanation:

The answer would be A) 2 Because when rounding you go to the nearest whole number. 2 is only 1/4 from 2 1/4  while 3 is 3/4 away and C) 1 is lower than answer A) 2, And Option D) 2 3/4 isnt even a valid option because its not a whole number/

Answer: A) 2

the answer is 36.36 but the closest to it is 37

Answer:

The slope would be 2

Step-by-step explanation:

Please brainliest!

And hope this helped you!

I also answered first!

And tell me If I am wrong! :D

The retailer would remit $4,900 to the vendor on July 13.

What is invoice date?

The invoice date is the date written on this which is the same as the date the goods were shipped to customer, in this case, invoice date  is July 1.

Invoice receipt date?

This is the date the customer received the invoice as well as the goods sent by the vendor, which is July 4 in this case.

2/10 means that a discount of 2% is available if the customer pays within the first 10 days, which starts counting from July 4, not July 1, because the customer actually received the invoice on July 4.

From July 4 to July 13 is a period of 10 days, which means that the 2% cash discount that customer would be entitled if payment is made within the first 10 days is still available

discount=2%*$5000

discount=$100

The retailer would remit the invoice price of $5,000 minus the discount.

amount remitted=$5000-$100

amount remitted=$4,900

Find out more about cash discount on :https://brainly.in/question/15641114

#SPJ1

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

The measure of the minor arc is less than 180 degrees

The measure of the major arc is greater than 180 degrees

So Arc BA is a minor arc

The measure of the circle is 360 degree, then

BD is the diameter of the circle, then it divides the circle into two equal parts

The length of the arc DE can be found using this rule

Answer:

100,00

Step-by-step explanation:

In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!

Rita bought 338 yards of ribbon for $3.38 or 338 cents.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The price of the ribbon was cents per yard and after that purchase, there was $16.62 left on Rita's $20 debit card.

Therefore she bought ribbons worth $(20 - 16.62).

= $3.38.

Or, (3.38×100) cents.

= 338 cents.

Given, One yard of ribbon costs one cent, therefore for 338 cents she bought 338 yards of ribbon.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

Learn more about decay rate here:

https://brainly.com/question/30068164

#SPJ1

sinB = 15/17

cosB = 8/17

tanB = 15/8

Considering the angle B:

The opposite = 15

The adjacent = 8

The opposite = 17

Note that:

sin θ = Opposite/Hypotenuse

cos θ = Adjacent/Hypotenuse

tan θ = Opposite/Adjacent

Based on the points stated above:

sinB = 15/17

cosB = 8/17

tanB = 15/8

Therefore, we can see that 10 kilometers is greater than 9 miles (10 km > 14.48 km), and so the comparison "10 kilometers < 9 miles" is false.

A kilometer (km) is a unit of measurement for length, commonly used in the metric system. It is equal to 1000 meters or approximately 0.62 miles. Kilometers are often used to measure longer distances, such as the distance between two cities or countries.

by the question.

To explain this, we can convert kilometers to miles or miles to kilometers to compare them in the same unit.

1 mile is approximately equal to 1.61 kilometers. So, 9 miles would be approximately equal to 14.48 kilometers.

To learn more about distance:

https://brainly.com/question/15172156

#SPJ

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 .

Learn more about Tangent here

https://brainly.com/question/28994024

#SPJ4

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) .

Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

To learn more about inverse relationship click on,

https://brainly.com/question/28628342

#SPJ1

Answer: You are correct, the answer if F. If I got it correct, can you please tell me?

Answer:

Opportunity cost is the forgone benefit that would have been derived from an option not chosen. ... Considering the value of opportunity costs can guide individuals and organizations to more profitable decision-making.

Step-by-step explanation:

Answer:

Opportunity cost is the comparison of one economic choice to the next best choice.

Answer:

18

Step-by-step explanation:

Answer:

18/1 so basically 18

Step-by-step explanation:

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer:

8

Step-by-step explanation:

In his 5th year, he took 3 times as many exams as the first year.  So the number of exams taken in the 5th year must be a multiple of 3.

If a₁ = 1, then a₅ = 3.  However, this isn't possible because we need 4 integers between them, and a sum of 31.

If a₁ = 2, then a₅ = 6.  Same problem as before.

If a₁ = 3, then a₅ = 9.  This is a possible solution.

If a₁ = 4, then a₅ = 12.  If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.

Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year.  So he took 19 exams total in his second, third, and fourth years.

3 < a₂ < a₃ < a₄ < 9

If a₂ = 4, then a₃ = 7 and a₄ = 8.

If a₂ = 5, then a₃ = 6 and a₄ = 8.

If a₂ = 6, then there's no solution.

So Alex must have taken 8 exams in his fourth year.

The measure of each exterior angle of the regular polygon is given as follows:

D) 72º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

By the exterior angle theorem, each interior angle is supplementary with it's respective interior angle.

As the measure of each interior angle is of 108º, the measure of each exterior angle is given as follows:

180 - 108 = 72º.

More can be learned about supplementary angles at brainly.com/question/2046046

#SPJ1

X = 1 4 5 6

Y = 20 8 4 0

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

More on mathematical functions can be found here: https://brainly.com/question/12431044

#SPJ1

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

If you think my answer is the best, please mark it as the Brainliest.
Thank you! :))

Type I regions- ∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions- ∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

Curves of type I can be described for yy in terms of xx and often "lay above and below" one another.

Type II curves, on the other hand, can be defined for xx in terms of yy and are more or less "left and right" of one another.

Type II regions can be divided into horizontal slices, but Type I regions can be divided into vertical slices.

When a location is simultaneously classified as Type I and Type II, you can choose to examine it in any manner.

Type I regions are regions that are bounded by vertical lines x=a and x=b, and curves y=g(x) and y=h(x), where we assume that g(x)<h(x) and a<b. Then we can integrate first over y and then over x:

∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions are bounded by horizontal lines y=c and y=d, and curves x=g(y) and x=h(y), where we assume that g(y)<h(y) and c<d. Then we can integrate first over x and then over y:

∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

To learn more about type I and type II regions visit:

brainly.com/question/17228091

#SPJ4