A 25-foot tree casts a 6 1/4-foot shadow. At the same time, a fence casts a 2-

foot shadow. How tall is the fence?

[tex]\textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n~~ - ~~2) \begin{cases} n=\stackrel{\textit{number of}}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=26 \end{cases}\implies (26)\theta =180(26~~ - ~~2) \\\\\\ 26\theta =180(24)\implies 26\theta =4320\implies \theta =\cfrac{4320}{26}\implies \theta \approx 166.15^o[/tex]

A foil method is a technique where two or more binomials multiply.

[tex]\tt{(b + 3) (b + 7)}[/tex]

[tex]\tt{F: (b)(b) = b^2}[/tex]

[tex]\tt{O: (b)(7) = b7}[/tex]

[tex]\tt{I: (3)(b) = 3b}[/tex]

[tex]\tt{L:(3)(7) = 37}[/tex]

[tex] \tt{=b^2 +7b+3b+21}[/tex]

[tex]= \boxed{ \tt{b^2 +10b+2}}[/tex]

[tex]\tt{(x + 3)^2}[/tex]

[tex]\tt{F: (x)(x) = x^2}[/tex]

[tex]\tt{O: (x)(3) = x3}[/tex]

[tex]\tt{I: (3)(x) = 3x}[/tex]

[tex]\tt{L:(3)(3) = 9}[/tex]

[tex] \tt{=x^2 +3x+3x+9}[/tex]

[tex] = \boxed{ \tt{x^2 +6x+9}}[/tex]

These are the three basic trigonometric ratios:

Here, 'opposite' or adjacent are referring to the legs in relation to one of the interior angles of the triangle, θ.

We can use these ratios to help us solve for side lengths or angles, depending on what information is given to us and what information we must solve for.

We're given:

Because this question involves the adjacent and the opposite, we can use the tangent ratio to find the answer.

[tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

⇒ Plug in the given information:

[tex]\tan(70^\circ)=\dfrac{opposite}{5.7}[/tex]

⇒ Multiply both sides by 5.7 to isolate 'opposite:

[tex]5.7\tan(70^\circ)=opposite\\opposite = 15.66062\dots[/tex]

⇒ Round to the nearest tenth:

[tex]opposite=15.7[/tex]

The length of the other leg is 15.7 units.

The total amount of money that Stephen would pay his uncle is equal to $10,600.

Mathematically, simple interest is calculated by using this formula:

I = PRT

Where:

Given the following data:

Interest rate = 2% = 0.02.

Principal = $10,000.

Time = 3 years.

Substituting the given parameters into the formula, we have;

I = 10000 × 0.02 × 3

I = $600.

Amount of balance;

A = I + P

A = 600 + 10,000

A = $10,600.

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 354}}{\left( \cfrac{3}{100} \right)354}\implies 10.62[/tex]

Answer:

400 miles

Step-by-step explanation:

150---3

  x --- 8

x= (150)(8) / 3 = 1200/3 = 400

Hope this helps

Answer:

x=400 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of chips

Probability of a blue chip

The subsequent blue has same probability as the chip is replaced.

Probability of two blue chips is

Answer:

[tex]\sf \dfrac{9}{169}[/tex]

Step-by-step explanation:

The bag has:

⇒ Total number of chips = 6 + 13 + 7 = 26

Probability Formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of choosing a blue chip from the first draw:

[tex]\implies \sf P(Blue)=\dfrac{6}{26}[/tex]

As the chips are replaced, the probability of choosing a blue chip from the second draw is the same as the first.

Therefore, the probability of taking out a blue chip in both draws is:

[tex]\begin{aligned}\implies \sf P(Blue)\:and\:P(Blue) & = \sf \dfrac{6}{26} \times \dfrac{6}{26}\\\\& = \sf \dfrac{6 \times 6}{\26 \times 26}\\\\& = \sf \dfrac{36}{676}\\\\& = \sf \dfrac{36 \div 4}{676 \div 4}\\\\& = \sf \dfrac{9}{169}\end{aligned}[/tex]

Answer:

[tex]3/4[/tex]

Step-by-step explanation:

We are asked to find the difference which means we will be using subtraction.

We are given two numbers to use [tex]4\frac{1}{12}[/tex] (Houston to Dallas) & [tex]3\frac{1}{3}[/tex] (San Antonio to Houston).

To be able to subtract, we need to have the same denominator on both fractions, which we can do by multiplying 1/3 by 4

[tex]\frac{1}{3} * 4=\frac{4}{12}[/tex]

now we can subtract the numbers and simplify!

[tex]4\frac{1}{12} -3\frac{4}{12} =\frac{9}{12} =\frac{3}{4}[/tex]

Answer:

4x+3y=23

Step-by-step explanation:

4x+3y=23

2x+6y=34 multiply equation by 2 to get x values equivalent, so

4x+12y=68 now subtract firs equation from this

-(4x+3y=23)

so 9y=45 and y=5

now find x:

4x+3(5)=23

4x+15=23

4x=8

x=2

So, hamburgers cost $2 and chicken nuggets $5.

Answer:

The answer is C. HOPE THIS HELPS!

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IT WOULD REALLY REALLY HELP ME!

The method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We're specified that:

Calculating the earnings from all the options:

That means, we get:
Earning = 6% of 60,000 = [tex]\dfrac{60000}{100} \times 6 = 3600[/tex] (in dollars)

That means:

Earning = 1500 + 3% of 60,000 = [tex]1500 +\dfrac{60000}{100} \times 3 = 1500 + 1800 = 3300[/tex] (in dollars).

That means, we get:

Earning = 4% of 50,000 + 10% of 10,000 (as total 60,000 dollars sales was done).

Earning = [tex]\dfrac{50000}{100} \times 4 + \dfrac{10000}{100} \times 10 = 2000 + 1000 = 3000[/tex] (in dollars)

That means:

Earning = 5% of 40,000 + 9% of 20,000 (as 40000 + 20000 = 60000)

or, we get:

Earning = [tex]\dfrac{40000}{100} \times 5 + \dfrac{20000}{100} \times 9 = 2000 + 1800 = 3800[/tex] (in dollars).

Thus, option D provides the method for max earning.

Thus, the method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Learn more about percent here:

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Answer:

D

Step-by-step explanation: i took the test

Answer:

[tex]1\frac{1}{7}[/tex]

Answer:

The y-intercept is 5, and the slope is -3/2, y=5

Step-by-step explanation:

Answer: 14⅔

Step-by-step explanation: If he needs 3⅔ cups to make 1 cheese cake then he will need 11/3 ×4 cups to make 4 cakes

44/3 =14⅔

(Let me know if you mean 32/3 cups or 3⅔cups )

Answer:

2√3

Step-by-step explanation:

root 27

= √27

= 3√3

12 upon root 3

= 12 / √3

= ( 12 / √3 ) x ( √3 / √3 )

= ( 12 x √3 ) / ( √3 x √3 )

= 12√3 / 3

= 4√3

6 upon √3

= 6 / √3

=  ( 6 / √3 ) x ( √3 / √3 )

= ( 6 x √3 ) / ( √3 x √3 )

= 6√3 / 3

= 2√3

root 3 = √3

root 3 + root 27 - 12 upon root 3 + 6 upon root 3

= √3 + 3√3 - 4√3 + 2√3

= 4√3 - 4√3 + 2√3

= 2√3

Answer:

2√3

Step-by-step explanation:

Our equation :

Simplifying

use the formula 2πr

the c bit I did the whole process cuz the diameter is given and for the d bit i thought what you were trying to say is 25 diameter.

hope it helps and don't forget to put the units wherever necessary.!!!!

Answer

u = s/2t - v

Step-by-step explanation:

Answer:

D  4+p=24

Step-by-step explanation:

So P stands for Paul & how much he spent.

Dan spent $24 at the store & he spent $4 more than Paul, so Paul only spent $20.  So P = $20

So which equation would work if you substituted $20 for P?

4 + P = 24

4 + 20 = 24

The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.

The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.

The perimeter of the hexagon is 7.5 inches.

Then the length of the hexagon will be

[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]

The length of the hexagon is 1.25 inches.

Then the diagonal length of the hexagon will be

y = 2 × 1.25

y = 2.5

The diagonal length of the hexagon is 2.5 inches.

Then the length of the dotted line is 3.75 inches.

More about the hexagon link is given below.

https://brainly.com/question/3295271

Statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have:

Drawing a ball from a bag without looking is an example of simple random sampling.

As we know the degree to which we believe the distributions of outcomes are fair is referred to as outcome fairness.

These outcomes can include things like pay, perks, promotions, and other physical things, but they can also include things like praise and other forms of social recognition.

Thus, statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.

Learn more about the population and sample here:

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Answer:

D

Step-by-step explanation:

I took the quiz on EDGE 2022

Answer:

see below

Step-by-step explanation:

sin 67 = opp/hyp = x/20

20 * sin 67 = x

I think its the third one

Answer:

plug the 5 into the function

f(5)=(5)^2-5

f(5)= 25-5

f(5)=20

Step-by-step explanation:

Answer:

f(5) = 20

Step-by-step explanation:

so, we're going to plug in 5 as our x value, and the equation becomes:

f(5) = [tex](5)^{2}[/tex] - (5)

now we'll simplify

f(5) = 25 - 5

now solve...

f(5) = 20

Answer:

Step-by-step explanation:

Finding final velocity.

[tex]\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity[/tex]

a -> accelaration

t ---> time

[tex]v_{i} = 7 \ m/s[/tex]

a = 2 m/s²

t = 5 s

[tex]v_{f}= 7 + 2*5[/tex]

     = 7 + 10

     = 17 m/s

10) h = 5 m

g = -10m/s²

[tex]t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1[/tex]

t = 1 sec

Answer:

y = cos(2x)

Step-by-step explanation:

This is equation must be a cosine function because it starts at a nonzero number. We can conclude that the final answer is D because the amplitude is 1 not 2. Also, the period (2π/k) is equal to 2π/π = 2.

See the image below for the different parts of a cosine/sine function.

I hope this helps!

Answer:

1,055.04

Step-By-Step explanation:

Volume equals pi times radius squared times the hight.

You first calculate what the radius will be by dividing the diameter by two and then you procede to multiply the radius to a power of two which is the equvialent as multiplying it to the base number and then you multiply the then squared radius to pi and lastly multiply it by the hight and you have your answer.

[tex]\pi * (8x^{2}) * 21 \\\pi * (4x^{2}) * 21\\\pi * 16 * 21\\50.24 *21\\=1,055.04[/tex]

Using the binomial distribution, it is found that there is a 0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, there are 20 students, hence in each question the probability that Milani's name is called is p = 1/20 = 0.05.

The probability that the teacher first draws Milani's name as the 7th student is P(X = 0) when n = 6(none during the first six) multiplied by 0.05(called during the seventh), hence:

P(X = 7) = (0.95)^6 x 0.05 = 0.0368.

0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Answer:

38

Step-by-step explanation:

15 x 3(or 15+15+15)=45

45-7=38