324 ft

Flagpole

shadow

40 ft

The diagram above shows a 40-foot flagpole and its shadow in relation to a nearby building that is

324 feet tall. If the flagpole's shadow is 50% longer than the flagpole itself, how far is the

building from the flagpole?

Answer:

  5/6

Step-by-step explanation:

Assuming everyone identifies as female or male, the fraction is ...

  female / (female + male)

  5/(5 +1) = 5/6

5/6 of the students are female in the math course.

Answer:

C

Step-by-step explanation:

Because 80% of 5,000=4,000 and if there is 5,000 then what is left?

1,000 because 4,000 to 5,000 is 1 more thousand

Also I need my tickets to the concert!

Answer:

total bill amount + tip = $77.21

Step-by-step explanation:

Hi!

The ratio in the picture is 3:12. There are 3 tbsp of vinegar for every 12 tbsp of water.

[tex]\frac{3}{12}[/tex] can be simplified to [tex]\frac{1}{4}[/tex] by dividing the numerator and denominator by 3.

1 cup of vinegar to 4 cups of water is also [tex]\frac{1}{4}[/tex].

Therefore, they are equal and the ratio is maintained.

(NOTE: the unit of measurement DOES not matter - they're still equivalent)

For another problem:

https://brainly.com/question/15304788

Answer:

x must be 4

Step-by-step explanation:

Write and solve an equation of ratios.  Start with the ratio of the hypotenuses:  

 x + 2         x

----------- = --------

 x + 5        x + 2

Cross multiplying results in (x + 2)^2 = x^2 + 5x

performing the indicated squaring, (x + 2)^2 = x^2 + 4x + 4.  And therefore:

x^2 + 4x + 4 = x^2 + 5x

Simplifying, we get 4x + 4 = 5x, so x must be 4

Answer: 2nd option

Step-by-step explanation:

Answer:1,410,000

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

18−7x=2x

Step 1: Simplif

18−7x=2x

18+−7x=2x

−7x+18=2x

Step 2: Subtract 2x from both sides.

−7x+18−2x=2x−2x

−9x+18=0

Step 3: Subtract 18 from both sides.

−9x+18−18=0−18

−9x=−18

Step 4: Divide both sides by -9.

Answer:

t4 + 42.5 = c

Step-by-step explanation:

Answer:

The answer is going to be 85.5 miles apart.

Step-by-step explanation:

if the first car is going 49 miles for every hour and the second at 68 we now have our two numbers. then we know its 4.5 hours so our equation goes like this.

(68*4.5)-(49*4.5)=y

We do our rules with pemdas and what not.

we get

306-220.5=y

We subtract and bam

y= 85.5 miles apart.

Hope this helps.

A brainliest is always appreciated

Hi!

I can help you with joy!

Area of a Rectangle= Length times the Width

Multiply [tex]\displaystyle\frac{1}{2}[/tex] times [tex]\displaystyle\frac{2}{21}[/tex]

Guide to Multiplying Fractions

Recall that we multiply the numerator times the numerator.

After that, we multiply the denominator times the denominator.

[tex]\displaystyle\frac{1}{2} *\frac{2}{21}[/tex]

[tex]\displaystyle\frac{1*2}{2*21}[/tex]

[tex]\displaystyle\frac{2}{42}[/tex] = [tex]\displaystyle\frac{1}{21}[/tex] (Answer) I hope this helps!

[tex]\bf{ContentGirl[/tex]

[tex]\bf{ElatedTeen[/tex]

Ask me if you have any doubts or queries. :)

Answer:

2

Step-by-step explanation:

hope it helps.........

Answer:

1440°

Step-by-step explanation:

(n - 2)180° - (10 - 2)180° = 8(180°) = 1440°

Answer:

1440 degrees

Step-by-step explanation:

formula for calculating sum of angles in a polygon is (n-2) 180 where n is 10 that's 10-2 which is 8 and 8 * 180 which is 1440

Answer:

-52/7 or 7 3/7

Step-by-step explanation:

-5 is also -35/7

2 3/7 is also 17/7

-35/7-17/7 = -52/7

-52/7 = 7 3/7

Answer:

-7 3/7

Step-by-step explanation:

-5 -2 3/7

Factor out the negative sign

-(5 + 2 3/7)

Write as a sum

-(5 + 2 + 3/7)

Calculate

-(7 + 3/7)

Write as a mixed number

-7 3/7

Hope this helps :)

Answer:

i think it is 300 miles,,,,.......

hypotenuse (h)=?

perpendicular (p)=3

base(b)=2

using pythagoras theorem

h²=p²+b²

h²=3²+2²

h²=9+4

h²=13

h=√13

using pythagoras theorem

b²=h²-p²

b²=12²-10²

b²=144-100

b=√44

b=2√11

Answer:

VVV

Step-by-step explanation:

A number that is increased by 50% and then decreased by 50% is called sequential percentage calculation or successive percentage calculation.

50 percent minus 50 percent is 0 percent, but you cannot simply take 0 percent of a number to get the correct answer when you want to increase a number by 50 percent and then decrease the result by 50 percent.

Given:

[tex]cos(2x)=1-sin(x)[/tex]

Expanding using double angle formula,

[tex]1 - 2 \sin^{2} (x) = 1 - \sin(x) [/tex]

Rearranging into a single equation,

[tex]1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0[/tex]

Combining like terms,

[tex] - 2 \sin^{2} (x) + \sin(x) = 0[/tex]

Now multiplying each term by -1,

[tex]2 \sin^{2} (x) - \sin(x) = 0[/tex]

Factor greatest common factors out,

[tex] \sin(x)(2 \sin(x) - 1) = 0[/tex]

Applying Zero property rule,

[tex] \sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0[/tex]

• Solve the trignometric equation to find a particular solution,

[tex]x = 0 \: or \: x = π[/tex]

[tex] = > x = 2nπ \: or \: x = π + 2nπ[/tex]

• Find the union of the solution sets,

[tex]x = nπ[/tex]}

• Rearrange unknown terms to the left side,

[tex]2 \sin(x) = 1[/tex]

• Divide both sides of the equation by the coefficient of variable,

[tex] \sin(x) = \frac{1}{2} [/tex]

• Solve the trignometric equation to find a particular solution,

[tex]x = \frac{π}{6} \: or \: x = \frac{5π}{6} [/tex]

[tex] = > x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z[/tex]

}

☆ Now finding the union of both sets

[tex]x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z[/tex]

Hence, the answer is [tex]x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z[/tex]

Answer:

Option B

Step-by-step explanation:

Given the following question:

9 is 10 times the value
29,461 ⇒ thousands place
[tex]100\times10=1000[/tex]

Your answer is option B or "53,982". Since the nine is in the hundred's place, and one-hundred times ten, is equal to a thousand.

[tex]900\times10=9000[/tex]

Hope this helps.

The value of the digit 9 in the number 29,461 that is 10 times the value of the digit 9 is; B: 53,982

We are given the number 29461.

In the given number;

1 is units

6 is tens

4 is hundred

9 is thousands

2 is ten thousands

This means any number that will has to be multiplied by 10 to give the 9000 above will have to be hundreds.

From the given options, only 53982 contains 9 in the hundreds position and so is correct.

Read more about Digits at; https://brainly.com/question/26856218

Answer:

option C gives, x = 8

Step-by-step explanation:

A.

[tex]\frac{5}{2}x+\frac{7}{2}=\frac{3}{4}x+14[/tex]

[tex]\frac{5}{2} x-\frac{3}{4} x = 14-3.5[/tex]

[tex]\frac{10}{4} x-\frac{3}{4} x = 10.5[/tex]

[tex]\frac{7}{4} x = 10.5[/tex]

[tex]x=\frac{10.5*4}{7}[/tex]

[tex]x = 6[/tex]

B.

[tex]\frac{5}{4}x-9=\frac{3}{2}x-12[/tex]

[tex]\frac{5}{4}x-\frac{3}{2}x=-12+9[/tex]

[tex]\frac{5-6}{4} x = -3[/tex]

[tex]-x = 4(-3)[/tex]

[tex]x =12[/tex]

C.

[tex]\frac{5}{4}x-2=\frac{3}{2}x-4[/tex]

[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]

[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]

[tex]-x = (-2)*4[/tex]

[tex]x=8[/tex]

D.

[tex]\frac{5}{2} x-7 = \frac{3}{4}x+14[/tex]

[tex]\frac{5}{2} x-\frac{3}{4}x = +14+7[/tex]

[tex]\frac{10}{4} x-\frac{3}{4}x = +21[/tex]

[tex]\frac{7}{4} x=21[/tex]

[tex]x= \frac{21*4}{7}[/tex]

[tex]x = 12[/tex]

Answer:

x = 3

Step-by-step explanation:

As a result, the slope is 1/5 and the y-intercept is 2, and the equation is written in slope-intercept form as y = (1/5)x + 2.

On a two-dimensional coordinate plane, the equation of a line is shown using the slope-intercept form. Y = mx + b, where m is the line's slope and b is the y-intercept, is how the equation is expressed. The pace at which the line is rising or dropping is indicated by the slope (m). It is the ratio of any two places on the line's vertical change (rise) to horizontal change (run). In other words, it informs you of the line's steepness. The line is rising from left to right if the slope is positive, and descending from left to right if the slope is negative.

given

We must find y in order to convert the equation 2x - 10y = -20 into slope-intercept form, which is represented by the formula y = mx + b, where m is the slope and b is the y-intercept.

2x - 10y = -20

Initially, we must separate the y term from the other terms by deducting 2x from both sides:

-10y = -2x - 20

The next step is to separate y by multiplying both sides by -10:

y = (2/10)x + 2

When we simplify the fraction, we obtain:

y = (1/5)x + 2

As a result, the slope is 1/5 and the y-intercept is 2, and the equation is written in slope-intercept form as y = (1/5)x + 2.

To know more about slope intercept visit:

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Answer : When input is n, ouput is n+2.

Answer:

i) see attached diagram

ii) 400 N

Step-by-step explanation:

Since we don’t know the mass of the seesaw, take moments about M (so we don’t have to consider R or mg).

Moment = Force x Perpendicular Distance to the Pivot

As the system is in equilibrium, total anti-clockwise moment = total clockwise moment:

⇒ 300 × 0.8 = b × 0.6

⇒         0.6 b = 240

⇒               b = 400 N

Step-by-step explanation:

(-3,5) and (x,y)

Slope = (y - 5)/[x - (-3)] = (y - 5)/(x + 3)

(y - 5)/(x + 3) = -1/4

y - 5 = -1/4(x + 3)

y - 5 = (-1/4)x - 3/4

y = (-1/4)x - 3/4 + 5

y = (-1/4)x + 17/4.

Answer:

your answer will be letter b

Step-by-step explanation:

Answer:

b

Step-by-step explanation: