The person, who is 5 feet tall, wants to calculate the height of the flagpole. Use proportions to solve the problem. Show your work.​

Answer:

yes it is

Step-by-step explanation:

The value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex] .

Triangle is a three sides two dimensional surface having three angles.

We have,

[tex]\triangle MRN[/tex] , [tex]\triangle RSM[/tex] and [tex]\triangle RSN[/tex],

And, [tex]NS =6,\ SM=2,\ RM=x,\ NR=y,\ RS=z[/tex]

Now,

We have right angle [tex]\triangle MRN[/tex],

Using Pythagoras theorem,

[tex]x^2+y^2=8^2[/tex]

[tex]x^2+y^2+=64\[/tex]     [tex].....(i)[/tex]

Now, We have right angle [tex]\triangle RSN[/tex],

Again Using Pythagoras theorem,

[tex]z^2+6^2=y^2[/tex]

⇒[tex]z^2=y^2-36[/tex]     [tex].....(ii)[/tex]

Now, We have right angle [tex]\triangle RSM[/tex],

Again Using Pythagoras theorem,

[tex]z^2+2^2=y^2[/tex]

⇒[tex]z^2=x^2-4[/tex]     [tex].....(iii)[/tex]

Now comparing equation [tex](ii)[/tex] and equation  [tex](iii)[/tex],

We get,

[tex]x^2-4=y^2-36[/tex]

We get,

[tex]x^2-y^2=-36+4[/tex]

[tex]x^2-y^2=-32[/tex]     [tex].....(iv)[/tex]

Now,

Adding equation [tex](i)[/tex] and equation  [tex](iv)[/tex], i.e.

[tex]x^2+y^2+=64[/tex]

[tex]x^2-y^2=-32[/tex]

We get,

[tex]2y^2=96[/tex]

[tex]y^2=48[/tex]

[tex]y=\sqrt{48}[/tex]

[tex]y=4\sqrt{3}[/tex]

So, the value of [tex]y[/tex] is [tex]4\sqrt{3}[/tex]

Hence, we can say that the value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex]  which is given in option (b).

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Answer:

its c

Step-by-step explanation:

taking test rn

Answer:

94.25% of the class is present

Answer:

a) 1.24 g/ml

b) 2.4%

Step-by-step explanation:

density = mass/volume

volume of sample = 28.4 - 15 = 13.4mL

density = 13.4/10.8

=1.24 g/ml

percent error

1.27 - 1.24 = 0.03

0.03/1.24 *100% = 2.4% error

Answer:

x = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x - 5 = x - 1 + 3x

Step 2: Solve for x

Here we see that -5 does not equal -1.

∴ This equation has no solutions.

Answer:

Thanks for the free points...

I love school by the way

Answer:

hey

can you give me a brainliest

Step-by-step explanation:

Answer:

its 14.7

Step-by-step explanation:

I Took The Test

Answer:

open the brackets is the first step

Step-by-step explanation:

4x(12 + 8x) -9x( 12+8x) = 36x

48x + 32x^2 -108x -72x^2 =36x

32x^2 - 72^2 + 48x - 36x - 108x = 0

-40x^2 -96x = 0

find x using quadratic formular

Mrs. Marina requires 5/2 or 2.5 cups of sugar to make  one and one half of the recipe.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

A recipe requires 1 (2/3) cups of sugar.

That is 1 recipe requires = 1(2/3) cups of sugars

                                        = 5/3 cups of sugar

Now, Marina is going to make one and one half of the recipe and to find the sugar he needed we simply multiply 1(1/2) both the sides :

1 recipe requires = 5/3 cups of sugar

1(1/2) recipe requires = (5/3) x 1(1/2) cups of sugar

3/2 recipe requires = (5/3) x (3/2) cups of sugar

3/2 recipe requires = 5/2 cups of sugar or 2.5  cups of sugar.

Therefore, Mrs. Marina requires 5/2 or 2.5 cups of sugar to make  one and one half of the recipe.

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Answer: I am in 8th grade but am in virtual

9514 1404 393

Answer:

  marked price = Rs. 3900

Step-by-step explanation:

The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.

The marked price is Rs. 3900.

_____

Check

A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.

5x - 7 = 19

Add 7 to both sides:

5x = 26

Divide both sides by 5:

x = 26/5

[tex]5x - 7 = 19[/tex]

Move -7 to another side and become + 7. Whenever we move to another side, we change the sign/operator to opposite. Ergo, changing from plus to minus and multiply to divide.

[tex]5x = 19 + 7 \\ 5x = 26[/tex]

We are at this part. Now to move 5 which is multiplying the x. So we move 5 from multiply to divide 26.

[tex]x = \frac{26}{5} [/tex]

Ergo, the answer is x = 26/5

Answer:

The answer is 5.8

Step-by-step explanation:

Answer:

-5.8

Step-by-step explanation:

Answer:

Just do minus two, and you will get 27-100=-73

Step-by-step explanation:

Answer:

True

True

False

Step-by-step explanation:

Rate of Change is slope. There is no change in slope as the line is straight.

Using the slope formula:

[tex]m=\frac{x_{2}-x_{1} }{y_{2}-y_{1}} \\m=\frac{4-0}{1-0}\\m=4[/tex]

Where m is slope

Since gold beads are on the x-axis, that means there are 4 black beads per gold bead

Answer:

Step-by-step explanation:

A of base: l ×w =5×4=20cmsquared

Missing length of c=a+b=c

C=6+2

C=8cm

A of side 1= b×h÷2 ×2

= 5×8÷2×2

= 40 ÷2×2

=20 ×2

= 40 cm squared

A of side 2= b×h÷2×2

= 4×8÷2×2

= 32 ÷ 2 ×2

= 16 ×2

= 32cm squared

Total of pyramid is = area of base + A

off side 1 + A if side 2

=92 cm cubed

Answer:

^eksponensial^

my answer lies in paper

Answer:

The correct answer is A. The common difference is 0.38

Step-by-step explanation:

Hope i helped! Have a great day <3

Answer: 6mins

Step-by-step explanation:

6mins, because 10x6= 60 (or) 60/10=6

Answer:

30 minutes

Step-by-step explanation:

60 divided by 2 which would give you 30 minutes.

Answer:

option c is incorrect

because the value of tan B will be perpendicular/base

so tan B=5/12.

mark me brainlist

Answer:

135.3

Step-by-step explanation:

Do 22x17.35=381.7 then do 22x23.50=517

517-381.7=135.3

Answer:

135.30

Step-by-step explanation:

Answer:

Step-by-step explanation:

If triangle ABC is similar to triangle DEF, then:

                                                                    [tex]\dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

Therefore:

[tex]\dfrac{x}{5}=\dfrac{12}{4}\\\\\dfrac{x}{5}=3\\\\x=15[/tex]

Answer:

4/1 or 4

Step-by-step explanation:

it goes 4 on the y axis after 1 on the x axis

Answer:

x = 6.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We have a right triangle triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from the angle measure

Angle = 64°

Opposite = 13

Adjacent = x

Step 3: Solve for x

Answer:

I think it might be d

Step-by-step explanation:

Answer:

Independent Variable: Number of bagels bought

Dependent Variable: Total cost because it depends on the number of bagels bought.

Function: N(x)=1.75x

So, if x is the number of bagels bought, N(14) means that 14 bagels were bought. So you multiply 14 by the price; 1.75. So, N(x)=1.75*14 = $24.5

Step-by-step explanation:

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is V(x) =1.75x.

So V(14) = 24.5, meaning 14 bagels will cost 24.5 dollars.

Step-by-step explanation:

Have a good day :)

Please give me Thanks

Answer:

104

Step-by-step explanation:

Because the square root of 104 is 10.433

Answer:

104

Step-by-step explanation: