Sara can drive 240 miles in 6 hours. How many miles can she drive in 1 hour?

The length of the base can be determined as,

Thus, the required base must be at least 34 ft.

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer:

180 meters

Step-by-step explanation:

Distance from the balloon to the boat = 108 meters

Distance from the boat to the shore = 144 meters

Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.

Let the length of the hypotenuse = l

Using Pythagoras Theorem

\(l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters\)

The distance from Fossett's balloon to the shore is 180 meters.

Fossett's balloon is 180m from the shore

data;

To solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.

\(x^2 = y^2 + z^2\\\)

Let's substitute the values and solve

\(x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m\)

Fossett's balloon is 180m from the shore

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Answer:

Answer CL  586 cm^2

Step-by-step explanation:

Hello.  It's pi, not pie.

The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or

A1 = 63 cm^2.

The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.

The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2

Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or

586 cm^2 approximately.

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment....

Answer:

Step-by-step explanation:

Answer:

Your answer is D

Step-by-step explanation:

Your base is 7cm. The hypotenuse is 2x or 2(7)=14 and the height is x\(\sqrt{3\) or 7\(\sqrt3\)

Answer:

Step-by-step explanation:

First you get X. X has been given as 5 already so it is answered. Now finding Y.

Y=(5*5)-3

It is times 5 because x is 5.

Y=25-3

Y=22

Answer:

Yes

Hope that this helps!

Answer:

yes -2 is less then 6

Answer:

no answer there is no answer from the choice

Answer:6

Step-by-step explanation:48 DividEd bg 8 is 6

Answer:

22 2/3

Step-by-step explanation:

if it helps make it braintliest please

Answer:

22 10/15

Step-by-step explanation:

You would just convert the 2/3 to 15ths which would be 10/15ths. Then add all of the fractions to get 25/15 and that's equal to 1 10/15 and then add the 7, 5, and 9

The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.

Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.

The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.

Now, let's add up the five angles of the pentagon:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540

Simplifying the equation:

5x + 20 = 540

5x = 540 - 20

5x = 520

x = 520 / 5

x = 104

So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.

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Answer:

no

Step-by-step explanation:

The three angles of a triangle are 180, but the sum of the three angles in the figure is 200.so its impossible .

Answer:

7/2

Step-by-step explanation:

rewrite the equation

7 / 6 / 3

7 /2

simplest doesn't mean answer fully just get to the simplest form where there are only absolute numbers

Answer:

Step-by-step explanation:

Given

We see that:

This is a vertical stretch by a factor of 3 and translation down 2 units

Correct choice is D

The work required to raise the bucket and the grain to the top is 220 J.

The work required to raise the bucket and the grain to the top can be calculated using the formula given below:

Work = (Total weight of the bucket and grain lifted) × (Height to which it is lifted)

Since the bucket weighs 2 kg, and there is 12 kg of grain left when the bucket is lifted to a height of 10 m, the total weight of the bucket and grain is (2 + 12) kg = 14 kg.

To raise the bucket and grain to a height of 20 m, the height through which it is lifted is

= 20 m - 10 m

= 10 m.

Thus, the work required to raise the bucket and the grain to the top is given by:

Work = (Total weight of the bucket and grain lifted) × (Height to which it is lifted)

Work = (14 kg) × (10 m)

Work = 140 J

Therefore, the work required to raise the bucket and the grain to the top is 220 J.

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Answer: A.6

Hope this helped

The correct interpretation of the 90% confidence interval is: c) 90% of the time, Kat can be certain that the calculated interval (22.96, 26.64) accurately represents the real average number of eggs that chickens on this farm lay.

What is confidence interval?

An predicted range of values for the true population parameter is known as a confidence interval.

The calculation for the 90% confidence interval can be done using the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √(Sample Size))

Given:

Sample Mean (x) = 24.8 eggs

Standard Deviation (σ) = 6.9 eggs

Sample Size (n) = 40

Confidence Level = 90%

For a 90% confidence level, the critical value is approximately 1.645.

Now, plug in the values into the formula:

Confidence Interval = 24.8 ± (1.645 * 6.9 / √(40))

Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:

SE = 6.9 / √(40)

Calculate the margin of error by multiplying the critical value with the standard error:

Margin of Error = 1.645 * SE

Finally, calculate the confidence interval:

Confidence Interval = 24.8 ± Margin of Error

Perform the calculations to find the lower and upper bounds of the confidence interval:

Lower Bound = 24.8 - Margin of Error

Upper Bound = 24.8 + Margin of Error

The resulting confidence interval is (22.96, 26.64).In this case, the confidence interval (22.96, 26.64) is constructed based on the sample mean of 24.8 and the standard deviation of 6.9.

Option c correctly states that Kat can be 90% confident that the true mean number of eggs chickens from this farm lay falls within the interval (22.96, 26.64). This means that if we were to repeat the sampling process multiple times and construct confidence intervals, about 90% of those intervals would contain the true mean.

Options a and b are incorrect because they do not accurately describe the interpretation of a confidence interval. Option d is also incorrect as it mentions "repeated sampling" but does not accurately convey the meaning of the confidence interval capturing the true mean.

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The information about the coordinate plane shows that the slope of XV is 1.

From the information, the slopes of the diagonals are negative reciprocals. Therefore, the slope of UW is -1 and the slope of XV is 1.

The diagonals of kite UVWX are perpendicular.

It should be noted that negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.

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Answer:

Step-by-step explanation:

The slope of XV is

1

The slope of UW is

–1

The slopes of the diagonals are

negative reciprocals

The diagonals of kite UVWX are

perpendicular

.

Answer:

r=9

Step-by-step explanation:

Answer:

B whole number

Step-by-step explanation:

You can't have part of a student, you have whole students.

Answer:

B

Step-by-step explanation:

it's a whole number

If she will randomly select a nickel coin from the bag, the probability of selecting nickel will be 1/6

Probability is the likelihood or chance that an event will occur. Mathematically;

Probability = Expected/Total

If the bag contains 8 quarters, 10 dimes, 4 nickels, and 2 pennies, the total outcome will be:

Total outcome = 8 + 10 + 4+ 2

Total outcome = 24coins

If she will randomly select a nickel coin from the bag, the probability of selecting nickel will be 4/24 = 1/6

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The probabilities, using the uniform distribution, are given as follows:

a) In the first half-hour: 0.5 = 50%.

b) Within five minutes of each other: 0.083 = 8.3%.

The uniform probability distribution is a distribution composed by two bounds, given by a and b, in which each possible outcome within these two bounds is equally as likely.

The two calls come in at random during the hour, meaning that the difference in the times between them is uniformly distributed between 0 and 60 minutes, hence the bounds of the distribution are given as follows:

a = 0, b = 60.

The probability of finding an observation less than x is given by

\(P(X < x) = \frac{x - a}{b - a}\)

Hence the probability of a difference of at most half an hour is:

p = 30/60 = 0.5 = 50%.

The probability of a difference of at most five minutes, that is, two calls within five minutes of each other, is of:

p = 5/60 = 1/12 = 0.083 = 8.3%.

The problem is:

Two telephone calls come into a switchboard at random times in a fixed one-hour period. Assume that the calls are made independently of one another. What is the probability that the calls are made a in the first half hour? b within five minutes of each other? Find an example of the problem above through a web search of a similar problem, and explain why the example you chose uses independent random variables.

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To determine if the given side lengths (8, 17, 24) can form a triangle, we can apply the Triangle Inequality Theorem. According to the theorem, for any triangle with side lengths a, b, and c, the sum of the lengths of any two sides must be greater than the length of the remaining side.

Let's apply this theorem to the given side lengths:

8 + 17 > 24

17 + 24 > 8

8 + 24 > 17

By checking these inequalities, we can see that all three conditions are satisfied. Therefore, the given side lengths of 8, 17, and 24 can form a triangle.

Answer:27.10

Step-by-step explanation:

if you did 14 times 12 you would get 168

if you did the same thing for 8 times 3 you would get 24

You need to take 6.20 and divide that by 168 witch gets you 27.10

Witch gets you your answer: $27.10

No, the ratio of 15:12 is not equivalent to 5:3 and 10:6 because

- 15:12 = 5:4

- 5:3

- 10:6 = 5:3

Given,

5:3 and 10:6 are equivalent ratios.

We need to see whether these ratios are equivalent to 15:12.

The ratios which are equal are called proportional ratios.

Example:

1:2 = 5:10 = 6:12 = 7:14

5/10 = 1/2

6/12 = 1/2

7/14 = 1/2

We have,

5:3 and 10:6

- 5/3

- 10/6 = 5/3

We have,

15:12

= 15/12

= 3x5/3x4

= 5/4

We see that 5:3 and 10:6 are not equivalent to 15:!2.

Thus,

No, the ratio of 15:12 is not equivalent to 5:3 and 10:6 because

- 15:12 = 5:4

- 5:3

- 10:6 = 5:3

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Answers:

==============================================

Explanation:

For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.

sin(angle) = opposite/hypotenuse

cosine involves adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

tangent involves opposite over adjacent

tan(angle) = opposite/hypotenuse

-----------------

In short, we have this list so far

The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.

Meaning, the other three trig ratios are

--------------------

So,

and

Answer:

Step-by-step explanation:

Hope this helps u!!

In the given triangle, length of side AD is 5 unit and length of side AB is 7 unit.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

In triangle ABC,

BC is perpendicular bisector or side AC.

The length of side AC = 10, BC = 7,

Since, BD is a perpendicular bisector of AC,

Therefore, D will be midpoint of AC.

AD = DC = AC /2 = 10/2 = 5.

By angle bisector property,

AB/BC = AD / AC

AB / 7 = 5/5

AB = 7

The length of side AB is 7 and Side AD is 5.

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The radius of convergence for the given power series is to be found. Therefore, the radius of convergence for the given power series is infinite.

It is given that the power series is:

$$ch\ \(E((n!)^2)x^2\)

\(={sum_{n=0}^{\infty}}{(n!)^2x^2)^n}{(2n)}\)}$$

For finding the radius of convergence, we use the ratio test:

\begin{aligned} \lim_{n \rightarrow \infty}\bigg|\frac{a_{n+1}}{a_n}\bigg|&

=\(\lim_{n \rightarrow\infty}\frac{(((n+1)!)^2x^2)^{n+1}}{(2n+2)!}\frac{(2n)!}{((n!)^2x^2)^n}\\\) &

=\(\lim_{n \rightarrow \infty}\frac{(n+1)^2x^2}{4n+2}\\ &=\frac{x^2}{4}\)$$

Since the limit exists and is finite, the radius of convergence $R$ of the given series is given by:$

R=\(\frac{1}{\lim_{n \rightarrow \infty}\sqrt[n]{|a_n|}}\\\)&

=\(\frac{1}{\lim_{n \rightarrow \infty}\sqrt[n]{\bigg|\frac{((n!)^2x^2)^n}{(2n)!}\bigg|}}\\\) &

=\(\frac{1}{\lim_{n \rightarrow \infty}\frac{(n!)^2|x^2|}{(2n)^{\frac{n}{2}}}}\\\)&

=\(\frac{1}{\lim_{n \rightarrow \infty}\frac{n^ne^{-n}\sqrt{2\pi n}|x^2|}{2^nn^{n+\frac{1}{2}}e^{-n}}}, \text

{ using Stirling's approximation}\\\)&

=\(\frac{1}{\lim_{n \rightarrow \infty}\frac{\sqrt{2\pi n}\\|x^2|}{2^{n+\frac{1}{2}}}}\\\)\\ &

=\(\frac{2}{|x|}\lim_{n \rightarrow \infty}\sqrt{n}\\\)R&

=\(\boxed{\infty}, \text{ for } x \in \mathbb{R} \end{aligned}\)$$

Therefore, the radius of convergence for the given power series is infinite.

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