A flying squirrel lives in a nest that is 15 feet high in a tree. To reach a fallen acorn that is 8 feet from the base of the tree, how far will the flying squirrel have to glide?

Answers

Answer 1

he will have to fly 23 feet, 15 feet down and 8 feet to the acorn

Answer 2

Final answer:

To find the distance the flying squirrel must glide to reach the acorn, the Pythagorean theorem is used. The tree's height (15 feet) and the horizontal distance to the acorn (8 feet) provide the two sides of a right triangle. The squirrel's glide distance is the hypotenuse, calculated to be 17 feet.

Explanation:

To calculate the distance the flying squirrel needs to glide to reach the acorn, we can apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this scenario, the tree height forms one side of a right triangle, the distance from the base of the tree to the acorn forms the second side, and the squirrel's glide path represents the hypotenuse.

Given:

Tree height (side a): 15 feet

Distance from the tree to the acorn (side b): 8 feet

Using the Pythagorean theorem:

c² = a² + b²

c² = 15² + 8²

c² = 225 + 64

c² = 289

c = √289

c = 17 feet

Therefore, the flying squirrel needs to glide 17 feet to reach the acorn.

Related Questions

What is 5x 1/2? please use any type of model to show work...

Answers

Change the fraction into a decimal, in this question it would be 5 x 0.5 which basically is asking for half of 5 which is 2.5.
You could also rearrange the question so put the fraction first and say what is:
1/2 of 5 which would equal 2.5 this would work for all questions like this. Hope I helped, have a nice day :)

5 times .5
5
.5
----
2.5

Jacobs toy box is 4 1/3 ft x 3ft x 5ft.what is the volume of his toy box

Answers

we know that
4 1/3------> (4*3+1)/3------> 13/3 ft

[volume of a rectangular prism]=length*width*height
[volume of a rectangular prism]=(13/5)*3*5------> 39 ft³

the answer is
the volume of the toy box is 39 ft³

Answer:

The volume of a toy box is 65 ft³ .

Step-by-step explanation:

Formula

Volume of a box = Length × Breadth × Height

As given the expression in the question

Jacobs toy box is [tex]4 \frac{1}{3}[/tex] ft x 3ft x 5ft.

i.e

Jacobs toy box is [tex]\frac{13}{3}[/tex] ft x 3ft x 5ft.

Put all the values in the formula

[tex]Volume\ of\ a\ toy\ box = \frac{13}{3}\times 3\times 5[/tex]

= 13 × 5

= 65 ft³

Therefore the volume of a toy box is 65 ft³ .

Express the decimal as a percent. 0.24

Answers

it would be 24% my dude btw pls give me brainliest

Final answer:

To express the decimal 0.24 as a percent, you would multiply it by 100. The decimal 0.24 can be expressed as 24%.

Explanation:

To convert a decimal to a percent, you need to multiply it by 100. In this case, to express the decimal 0.24 as a percent, you would multiply it by 100.

0.24 * 100 = 24

So, the decimal 0.24 can be expressed as 24%.

A percent represents a part per hundred.

When you multiply a decimal such as 2.4 by 100 to find its percent equivalent, you move the decimal point two places to the right. If there are not enough decimal places, we use zeros as placeholders.

Therefore, 2.4 times 100 is 240, and 0.24 times 100 is 24, which gives us 24%.

what is the slope of the line that contains (-3, 4) and (7, 5)

Answers

Apply the slope formula as follows:

5-4 1
m = --------- = ---------
7-(-3) 10

Machine A makes 50 more than 4 times the number of parts that Machine B makes each day. If Machine A makes 450 parts each day, how many parts does Machine B make each day? 100 125 500 1850

Answers

125 is your right answer

Answer:

125 is NOT the right answer. read the question out completely. 100 is your answer.

Step-by-step explanation:

you're supposed to write an algebraic expression for 50 more than 4 times the number of parts that Machine B makes and set that equal to 450.

Find an equation of the plane that contains the point p(5,1,4) and the line x = 2−t, y = 3 + t, t = 3−3t.

Answers

The vector from the reference point on the line to the point is
.. (5-2, 1-3, 4-3) = (3, -2, 1)
The cross product of this with the line's direction vector (-1, 1, -3) is (5, 8, 1). The dot product of that with any of the points in the problem statement is 37. Your plane equation can be written as
.. 5x +8y +z = 37

_____
A suitable vector calculator is very handy for this. I used an HP-48 app on my phone.

GPA calculation assignment
I need help please

Answers

total hours is 13

quality points is 76
gpa is
gpa would be 3.20

The graph of f(x) is shown below.
(First image below)
If g(x) and f(x) are inverse functions, which graph represents g(x)?
A. 2nd Graph below
B. 3rd Graph below
C. 4th Graph below
D. 5th Graph below

Answers

The 1st graph shows a radical expression, where:
[tex]f(x) = \sqrt{x} [/tex]
to find the inverse, replace f(x) with y, switch the x and the y, then solve for y
[tex]f(x) = \sqrt{x} ... \: y = \sqrt{x} \\ x = \sqrt{y} \\ {( \sqrt{y})}^{2} = {x}^{2} \\ y = g(x) = {x}^{2} [/tex]
The only graph showing exponential growth is the 2nd graph (note how at 1 it's 1, at 2 it's 4, at 3 it will be 9, etc.)

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. The correct option is B, the third graph.

Remember that two functions f(x) and g(x) are inverses if:

f(g(x)) = g(f(x)) = x

This also means that if:

f(x) = y

then g(y) = x.

So we basically should have the exact same graph of f(x), but we just "interchange" the two axes.

From this, we can see that the correct option is the third graph (the one where the curve goes upwards. So the correct option is B.

If you want to learn more about inverse functions, you can read:

https://brainly.com/question/10300045

Compare how you would model and record finding the sum difference of two rocks weighing 2/8 pound and 3/8 pound.

Answers

2/8+3/8=5/8

3/8-2/8=1/8

hope this helped

Final answer:

To find the sum or difference of two rocks weighing 2/8 pound and 3/8 pound, add or subtract their numerators while keeping the denominator the same. The sum is 5/8 pound, and if finding a difference with the second rock being lighter, it's 1/8 pound.

Explanation:

To model the sum of two rocks weighing 2/8 pound and 3/8 pound, we work with fractions with the same denominator. To find the sum, simply add the numerators together and keep the same denominator. Thus, 2/8 + 3/8 equals 5/8. To record the sum difference, you list both weights then show their combined weight, which is the sum.

The process is like this:

Write down the weights of the two rocks: 2/8 pound and 3/8 pound.Add the numerators (2 + 3 = 5) while keeping the denominator the same (8).The sum is therefore 5/8 pound.

If we were to find the difference, you would subtract the smaller numerator from the larger numerator:

Assuming we're taking the second rock's weight from the first: 3/8 - 2/8.Subtract the numerators (3 - 2 = 1) while keeping the denominator the same (8).The difference is therefore 1/8 pound.

carlos walked 2 miles on Monday and 5 miles on Saturday. the number of miles he walked on thise two days is 3 miles more than the number of miles he walked on Friday. write and solve an addition equation to find the number of miles Carlos walked on Friday.

Answers

2+5=7. 7-3=4. Carlos waked 4 miles on Friday. Let me know if this was correct. Hope this helps! :-)

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?

5x + 2 – 3x2

Answers

Hello there!

First, we must define the words "leading coefficient" and "constant."

Take a look at the simple definitions...
Leading coefficient- the number behind the term with the highest exponent
Constant- the number without any variable in front of it

This means that for the polynomial
5x+2-3x^2 the leading coefficient is -3 because it is the number behind the term with the highest exponent! The constant is 2 because there are no variables behind it.

I really hope this helps!
Best wishes :)

Find the vertex of the given function.
f(x) = l x-5 l + 10
The vertex is at (___, ___)

Answers

when it comes to this "vertex form" type of expressions, the cheap way to get the vertex is, set the grouped terms to 0, namely

x - 5 = 0
x = 5

well, if we set x = 5, x - 5, turns to 0, and that happens when x = 5, therefore, the vertex is

| x - 5 | + 10

| (5) - 5 | (+ 10) is at ( 5 , 10 )

The vertex of an absolute function is the highest or lowest point of the function. The vertex of the given equation is: (5,10)

Given that:

[tex]f(x) = |x - 5|+ 10[/tex]

If an absolute function is represented as:

[tex]f(x) = a|x - h|+ k[/tex]

The vertex of the function is:

[tex]Vertex = (h,k)[/tex]

By comparing [tex]f(x) = a|x - h|+ k[/tex] and [tex]f(x) = |x - 5|+ 10[/tex]

[tex]h = 5[/tex]

[tex]k =10[/tex]

So, the vertex is:

[tex]Vertex = (5,10)[/tex]

Answers

Sin (x) = Cos (90 - x)
sin(2A) = cos (90 - 2A)
=cos (3A)
90 - 2A = 3A
5A=90
A=18

Is the price of 2/5 + 5 greater than or less than 2/5 is it greater than or less than 5 explain your reasoning

Answers

It is greater than 2/5 and 5 BC 2/5 + 5 is equal to 5 and 2/5.

Chelsea dog-sits for her neighbors as a part-time job. She charges $12 a day plus an additional $2.50 for each walk she takes with the dogs. Determine which graph and which equation represent the amount of money Chelsea earns in one day, A, after taking w walks with the dogs.

Answers

The equation that would represent this situation is:

A = 2.5w + $12

To graph this you would substitute in varying numbers for w(the number of weeks) and this would be your x value in your ordered pair.

After you substitute in a number of weeks, you will get a total amount of money earned (A). This would be your y value in your ordered pair.

Here are some orders pairs you could plot to create the graph of this equation.

(1, 14.5)
(2, 17)
(3, 19.5)
(4, 22)

The equation is:

A= 2.5W + 12

The graph is

open the attachment I added AND THATS THE THE GRAPH ANSWER.

I HOPE I HELPED YOU. :)

PLEASE HELP EXPLAIN THIS!?!
(picture below)

I have part A however idk how to work out part B how would i write the equation out???

Answers

Using your approximate y-intercept on the line of best fit, your equation would be y=11/7x + 3.

We find the slope by choosing two points that are on the line:

(9, 18) is easy to spot; and (2, 7) is fairly easy to spot as well. The formula for slope is:
m=y₂-y₁/x₂-x₁

m=7-18/2-9 = -11/-7 = 11/7

Slope intercept form, y=mx+b, has the slope and the y-intercept. Plugging those in we have y=11/7x+3.

The generic equation of the line is:
y-yo = m (x-xo)
We look for the slope:
m = (y2-y1) / (x2-x1)
m = (18-15) / (9-7)
m = (3) / (2)
m = 3/2
We write the equation choosing any point:
y-15 = (3/2) (x-7)
we rewrite the equation:
y-15 = (3/2) x-10.5
y = (3/2) x-10.5 + 15
y = (3/2) x + 4.5
Then, for x = 13 we have:
y = (3/2) * (13) +4.5
y = 24
Answer:
The equation is:
y = (3/2) x + 4.5
The number of matches won for 13 months is:
y = 24

how many factors in the expression 8(x+4)(y+4)(z2+4z+7)have exactly two terms

Answers

It helps to first identify the factors. They are:

- 8
- (x + 4)
- (y + 4)
- (z² + 4z + 7)

Terms are separated by "+" and "-" signs, so that eliminates the first factor, which only has one term. The fourth factor has two "+" signs, and as you can see, it has three terms; that one is out as well. The last two factors both have only one "+" sign, and they both have two terms. Therefore...

Answer:
Two factors in the expression 8(x + 4)(y + 4)(z² + 4z + 7) have exactly two terms.

Classify the following triangle. check all that apply?

Answers

we know that

the triangle of the figure is

Equilateral------> because has three equal sides and three equal angles

Acute -------> because all three angles are less than [tex]90[/tex] degrees

The measure of each angle in a equilateral triangle is [tex]60[/tex] degrees

therefore

the answer is

A equilateral

D Acute

Answer:

Step-by-step explanation:

Adf

You are saving money to buy an electric guitar. You deposit $1000 in an account that earns interest compounded annually. The expression 1000(1+r)^2 represents the balance after 2 years where r is the annual interest rate in decimal form. Write a polynomial in standard form.
The interest rate is 3%. What is the balance of your account after 2 years.
The guitar costs $1100. Do you have enough money in your account after 3 years?

Answers

let's move like a crab, backwards some.

after 2 years?

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$1000\\ r=rate\to 3\%\to \frac{3}{100}\to &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &2 \end{cases} \\\\\\ A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=1000(1.03)^2[/tex]

after 3 years?

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$1000\\ r=rate\to 3\%\to \frac{3}{100}\to &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &3 \end{cases} \\\\\\ A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 3}\implies A=1000(1.03)^3[/tex]

is that enough to pay the $1100?

now, let's write 1000(1+r)² in standard form

1000( 1² + 2r + r²)

1000(1 + 2r + r²)

1000 + 2000r + 1000r²

1000r² + 2000r + 1000 <---- standard form.

Final answer:

The balance of your account after 2 years is $1,060.90. You do not have enough money in your account after 3 years to buy the $1100 guitar.

Explanation:

To write a polynomial in standard form for the balance after 2 years, we substitute the given interest rate of 3% (0.03 in decimal form) into the expression $1000(1+r)^2. This gives us $1000(1+0.03)^2. Simplifying this equation, we have:

$1000(1+0.03)^2
= $1000(1.03)^2
= $1000(1.0609)
= $1,060.90

Therefore, the balance of your account after 2 years is $1,060.90.

To determine if you have enough money in your account after 3 years to buy the $1100 guitar, we can substitute the values into the expression $1000(1+r)^3. Using the same interest rate of 3% (0.03 in decimal form) and solving the equation, we have:

$1000(1+0.03)^3
= $1000(1.03)^3
= $1000(1.0927)
= $1,092.70

Since $1,092.70 is less than the cost of the guitar, you do not have enough money in your account after 3 years to buy the guitar.

The student body of a large university consists of 65% female students. a random sample of 8 students is selected. what is the probability that among the students in the sample at least 7 are female?
a. 0.1064
b. 0.0896
c. 0.1373
d. 0.1692

Answers

b. 0.0896
hope this helps x

John bought 15 cookies and ate 3 of them. He ate ____% of the cookies.

Answers

He ate 20% of the cookies

20 because 15/3 = 5 and 20 goes into 100 5 times

what is a rational number between 9.6 and 9.7

Answers

The rational number between them is 9.6 1/2

A rational number between 9.6 and 9.7 is 93/20.

The given decimal numbers are 9.6 and 9.7.

What are the rational numbers?

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Now, (9.6+9.7)/2

= 19.3/2

= 9.65

So, the rational number is 965/100 = 93/20

Therefore, a rational number between 9.6 and 9.7 is 93/20.

To learn more about the rational numbers visit:

brainly.com/question/19161857.

#SPJ2

The main span of Bridge A (2300 feet) is _____ percent shorter than the main span of Bridge B (4700 feet).

Answers

To find this answer you find the percent of change.
To do this you divide the difference in lengths by the starting length. We start with the main bridge.

4700-2300=2400
2400/4700 is about 51.1% shorter.

The main span of bridge A is 51.1% shorter than the main span of bridge B.

Span of bridge A = 2300 feets

Span of bridge B = 4700 feets

Percentage difference in span length :

[(difference in span) / span of B] × 100%

Difference in span = 4700 - 2300 = 2400

Percentage difference = (2400 ÷ 4700) × 100%

Percentage difference = 0.5106 × 100% = 51.1%

Therefore, the main span of bridge A is 51.1% shorter than the main span of bridge B.

Learn more :https://brainly.com/question/13218948

Two cards are drawn without replacements from a standard deck of 52 playing cards what is the probability of choosing a king for the second card drawn if the first card drawn was a queen

Answers

20% chance of drawing out of 52 because it is probly shuffeld

Answer:

Step-by-step explanation:

663

Explanation:

Probability of drawing a King is

Probability of drawing a queen

as the King was not put back.

So the probability of drawing one then the second would be

663

Julie is going to a store to buy vases to use as centerpieces at her party. Small vases cost $2 and large vases cost $4. She needs to buy a minimum of 15 vases, and can spend a maximum of $50.

Which system of linear inequalities represents this situation? Let s represent the number of small vases and l represent the number of large vases.

A
s + l ≥ 15

2s + 4l ≤ 50

B
s + l ≤ 15

2s + 4l ≥ 50

C
s +l ≥ 50

2s + 4l ≤ 15

D
s + l ≥ 15

2s +4l ≥ 50

Answers

Short answer: A
D: the second equation is wrong. She wants to be under 50

C: The system is confusing money with the number of vases

B: The answer is wrong. She wants to spend under or equal to 50 not over.

Mauricio wants to fry 18 potatoes per hour for 3.5, point. He can fry 6 potatoes using each gallon of oil. How many gallons of oil does Mauricio need for frying potatoes? Choose 1 answer: A: 378 B:21 C:189 D:10.5

Answers

The answer is 10.5 gallons

Answer:

The answer is option D.

Step-by-step explanation:

Mauricio wants to fry 18 potatoes per hour for 3.5 hours.

So, total becomes = [tex]18\times3.5=63[/tex]

As he can fry 6 potatoes using each gallon of oil.

So, for 63 potatoes, he will need = [tex]\frac{63}{6}=10.5[/tex] gallons.

Therefore, the correct answer is option D.

HELLLPP PLLZZZ III BEEEGGG UUUU

For what value of x:

is the square of the binomial x+1 twenty greater than the square of the binomial x–3?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9124477

the school gets $5 for each T-shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised so far, how many more T-shirts do they have to sell

Answers

21 more T-shirts they need to sell.

A packet processed by an internet router carries either audio information with probability 7/10, video, with probability 2/10, or text with probability 1/10. the probability that the router processes 70 audio packets, 20 video packets, and 10 text packets in a sequence of 100 packets is:

Answers

An interesting problem using hypergeometric distribution.

Here we have three variables,
a=number of audio packets
v=number of video packets
t=number of text packets
we note that a+v+t=100 (as given)

and correspondingly,
A=number of audio packets in the pool
V=number of video packets in the pool
T=number of text packets in the pool
Here, the pool is from a population such that the probabilities of selecting each type are respectively 0.7, 0.2 and 0.1 (as given).

Defining C(n,r)=n!/(r!(n-r)!) as the number of combinations of r objects chosen out of n.

In a pool of 1000 packets, then A=700, V=200 and T=100.
The multivariate hypergeometric distribution gives
P(70,20,10,1000)
=C(700,70)*C(200,20)*C(100,10)/C(1000,100)
=0.0147526

In a pool of 100000 packets, then A=70000,V=20000,T=10000.
The multivariate hypergeometric distribution gives
P(70,20,10,1000)
=C(70000,70)*C(20000,20)*C(10000,10)/C(100000,100)
=0.0132925

Since the population has a size of infinite, we will try to approach the value by choosing an even larger population, say, 1000000,
P(70,20,10,1000000)=0.0132806

Next try
P(70,20,10,1000000000)=0.013279255
P(70,20,10,1000000000000)=0.013279254
...
So we can conclude that
P(70,20,10,population)=0.013279 with almost certainty.

At Pizza Pi, 9% of the pizzas made last week had broccoli on them. If 27 pizzas had broccoli, on how many pizzas in all were made last week?

Answers

----------------------------------------------------------
Given Information
----------------------------------------------------------
9% of pizza made had broccoli
27 pizza had broccoli

----------------------------------------------------------
Equation the information and find 1%
----------------------------------------------------------
9% = 27
1% = 27 ÷ 9
1% = 3

----------------------------------------------------------
Find 100%
----------------------------------------------------------
1% = 3
100% = 3 x 100
100% = 300 pizzas

----------------------------------------------------------
Answer: There were 300 pizzas made last week
----------------------------------------------------------

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