How did they get 21.6?

How Did They Get 21.6?

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

There are 2 similar triangles here.

The large one made from the tree, the trees's shadow  and the line from top of the tree to the and of the shadow The other one is the small triangle inside the large one , made from emily , emily's shadow  and line from top of emily's head to the end of the shadow.

Corresponding sides in these 2 triangles  are in the same ratio, so if  h is the height of the tree, then

h / emil's height = length of tree's shadow / length of emily's shadow

h / 6 = 18/5

5h = 6*18

5h = 108

h = 108/5

= 21.6.

The scale factor for emily's to the object  = 5/18.


Related Questions

Describe any route that he can travel with, from his guest house to the stadium.​

Answers

Answer:

hey. could you please post a pic of the full question socwe may help you.

Answer:

hey please post the full question or the pic of question

I will give BRAINLIEST to the correct answer
Find the measure of angle 2

Answers

Answer:

∠ 2 = 104°

Step-by-step explanation:

- 8x - 48 = 9x + 275               [ alternate angles are equal ]

-8x - 9x = 275 + 48

-17x = 323

x = -19  

9x + 275 = 9 × -19 + 275

             = - 171 + 275

             = 104°

∠ 2 = ( 9x + 275 )                                     [vertically opposite angles ]

∠ 2 = 104°

If there are 10 marbles in a bag 1/5 of them are red and the others are blue. What is the ratio of red marbles to blue marbles ?

Answers

Answer:

4:1

Step-by-step explanation:

We know 1/5 of the marbles are red.

There are 10 marbles.

1/5 is also 2/10, so:

2 of the 10 marbles are red.

To find the blue marbles, lets subtract the red marbles from the total marbles:

10-2=8

So 8 of the marbles are blue.

This is a ratio of 8 blue to 2 red marbles.

Or

4 blue to 1 red marbles.

This can be shown as:

4 : 1

Hope this helps!

Write the equation of a circle with center M(2,6) and a radius of 4

Answers

Answer:

(x -2)^2 + (y-6)^2 = 16

Step-by-step explanation:

The equation of a circle is of the form

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x- 2)^2 + (y-6)^2 = 4^2

(x -2)^2 + (y-6)^2 = 16

Show that x^2 + 5x = 3

Answers

Answer:

[tex]area = length \times width \\ 9 = (x + 3)(x + 2) \\ {x}^{2} + 2x + 3x + 6 = 9 \\ {x}^{2} + 5x + 6 = 9 \\ {x}^{2} + 5x + (6 - 9) = 0 \\ {x}^{2} + 5x =3[/tex]

if sintheta is greater than 0 and costheta less than 0 then the terminal point determined by theta is in:

Answers

Answer:

Quadrant  II

Step-by-step explanation:

Sin is positive in Quad I and II

Cos is negative in  Quad II and II

Therefor ∅ is in Quadrant  II

Analyzing angle pair relationships

Angle 3 and 4 are ____.

The equation _____ can be used to solve for x.

m 5 = __

Answers

Answer:

Angle 3 and 4 are supplementary angles.

The equation (3x+4) + (2x+11) = 180 can be used to solve for x.

m 5 = 77

Step-by-step explanation:

3)
Solve for x.
(x – 9)2/3 = 2
A)
x=9+ 3/2
B)
x = 9-373
x = 9+2 V2
D)
x = 9-2V2

Answers

[tex]\longrightarrow{\green{ x\:=\:12}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](x - 9) \frac{2}{3} = 2[/tex]

[tex]➺ \: (x - 9) = 2 \times \frac{3}{2} [/tex]

[tex]➺ \: x = 3 + 9[/tex]

[tex]➺ \: x = 12[/tex]

Therefore, the value of [tex]x[/tex] is 12.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex](x - 9) \frac{2}{ 3} = 2[/tex]

[tex]➺ \: (12 - 9) \frac{2}{3} = 2[/tex]

[tex]➺ \: 3 \times \frac{2}{3} = 2[/tex]

[tex]➺ \: 2 = 2[/tex]

[tex]➺ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

Find the equation with a line with slope 7
_
2 passing through the point (-2,9).

Answers

Answer:

y = 7/2 x+16

Step-by-step explanation:

The equation for a line is y = mx+b where m is the slope and b is the y intercept

y = 7/2 x+b

Substitute the point into the equation

9 = 7/2(-2)+b

9 = -7+b

9+7 = b

16 = b

y = 7/2 x+16

solve this simultaneous equation m+2n=10 and 2n+3m=18​

Answers

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

A scientist looks at bacterium and in a virus in a lab the bacterium has a diameter of 10-6 meters. The virus has a diameter of 10-7 meters

Answers

Ok so what's the question

Answer:

The diameter of the bacterium is 10 times greater than that of the virus.

Step-by-step explanation:

Edge

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a package (volume) while keeping how much material is required to create the package (surface area) low.
Pick a product that might be packaged in the shape of a rectangular prism. A rectangular prism has three dimensions: length, width, and height. The surface area of a rectangular prism can be found using the formula SA = 2lw + 2wh + 2lh. The volume of a rectangular prism can be found using the formula V = lwh. Write an expression for the ratio of surface area to volume for the figure.
Choose an appropriate length, width, and height for your package so that it can fit the product you are shipping. Using these dimensions, what is the ratio of surface area to volume?
Task 2
John, Rick, and Molli paint a room together.
a. Pick a reasonable amount of time in which the three friends can paint the room together. Also pick a reasonable amount of time in which John can paint the room alone and a reasonable amount of time in which Rick can paint the room alone.
b. What is the hourly rate for John, Rick, and Molli (when working together)? Use rooms per hour as the unit for your rates.
c. What is the hourly rate for John? What is the hourly rate for Rick? Refer to the amount of time you determined in which John and Rick can paint the room alone. Use rooms per hour as the unit for your rates.
d. Write an equation comparing the group rate to the sum of the individual rates. How should the group rate and the sum of the individual parts compare? Use parts (b) and (c) to help you write the equation.
e. What is the least common denominator for the equation you found in part (c)?
f. Solve the equation and determine how long it will take Molli to paint the room alone.Task 3
Suppose you are having a birthday party at the local bowling alley. You are trying to figure out how many people you can afford to invite.
a. The number of guests you can invite to your party varies inversely with the price per bowler at the alley. Explain what this means.
b. How much money are you willing to spend to host this bowling party?
c. Set up an equation that shows the inverse relationship between the number of guests at your party and the price per bowler. Your answer to part (b) should be part of this equation.
d. Research two local bowling alleys. Record the price per bowler at each of these two alleys.
Calculate how many guests you will be able to invite to your party at each of the bowling alleys. Which alley would you choose for your party? Why?

Answers

Answer:

sorry bro i really need the points

Step-by-step explanation:

sorry big dawg

Find the area of this parallelogram

Answers

80.94 square centimeters
use this formula for area of parallelogram:
Base x height

Our base is 11.4
Height is 7.1
(Use the height that is perpendicular to the base)

11.4 x 7.1 = 80.94

Have a nice day

In 2016, the average SAT Math score was 510 with a standard deviation of 80 points. What is the probability of a student scoring less than 590?
a. 83.85%
b. 67.7%
c. 16.15%
d. 49.85%

Answers

D. 49.85% is the answer

Copy and Complete
A) price (increased or decreased) by %
B) price (increased or decreased( by %

Answers

Answer:

a) Price increased by 75%

b) Price decreased by 42.85%  (or 43% approximate)

Step-by-step explanation:

$ 40 increased by ____ % to $70

[tex]Percentage\ increase = \frac{difference}{ original} \times 100[/tex]

                             [tex]= \frac{70 - 40 }{40} \times 100\\\\=\frac{30}{40} \times 100\\\\= 75 \%[/tex]

$70 decreased by ______ % to $40

[tex]Percentage \ decrease = \frac{difference }{ original } \times 100[/tex]

                               [tex]= \frac{70 - 40 }{70} \times 100 \\\\= \frac{30}{70} \times 100\\\\=42.85 \%[/tex]

                       

ABCD is a rhombus. If the area of the rhombus is 16 cm2, and = 8 cm, what is ?

1 cm
4 cm
2 cm
8 cm

Answers

pretty sure it’s 4 cm

Given: CA bisects BAD and CA bisects BCD.
Prove: ABC - ADC.

Answers

Well I’m not getting rewarded with a lot more than a lot more money but I’m still on the same side I

By AAS criteria, ΔABC ≅ ΔADC.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC.

In ΔABC and ΔADC -

∠ABC = ∠ADC = 90°

∠ACB = ∠ACD     {bisected angle ∠BCD}

AC = AC  {Common}

By AAS criteria, ΔABC ≅ ΔADC.

Therefore, by AAS criteria, ΔABC ≅ ΔADC.

To solve more questions on 2 -D figures, visit the link below-

brainly.com/question/25950519

#SPJ2

[Complete questions

Given: CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC . Prove: △ABC≅△ADC.]

please answer no links pls

Answers

Answer:

i cant read it..

Step-by-step explanation:


Help please <3!!!!!

Answers

Answer:

Step-by-step explanation:

f(x) = 4x+6

the domain has the values of x {-1, 0, 2}

the range is the f(x) or y values and could be calculated if you substitute in the given equation.

f(x= -1) ) = 4(-1) +6 = -4 +6=2

f(x=0) = 4·0 +6 = 0+6 = 6

f(x=2) =4·2 +6 = 8+6 = 14

the range is {2, 6, 14}

Find the missing length indicated..

Answers

Answer:

I think it is 20 but I'm not sure. Sorry if you get it wrong.

Step-by-step explanation:

It's definatly not 4 or 7 because those lengths are too short to be where the question mark is. And 45 is too big for the missing length side.

Thx.

Solve for x:
-3x +5 = 17

Answers

Answer:

x=-4

Step-by-step explanation:

-3x +5 = 17

-3x+5-5=17-5

    -3x=12

 -3x/3 = 12/-3

       x=-4

6n (19-8) divided by 3 = 22 in description the expression, which term would not be used?

Answers

Answer:

n = 1

Step-by-step explanation:

6n(19_8)÷3=22

1114n_48n÷3=22

66n=66

n=1

What is the circumference of a circle with a radius of 9.7 inches?

Use 3.14 for pi.

Enter your answer as a decimal in the box.

Answers

Answer:    60.916  inches

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

Work Shown:

C = 2*pi*r

C = 2*3.14*9.7

C = 60.916

This value is approximate since pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate circumference. The circumference is the distance around the circle, aka the perimeter.

Answer:

60.916

(rounded to the two nearest decimals = 60.92, and to the first decimal = 60.9)

Step-by-step explanation:

Circumference formula: 2πr  

π being pi and r being radius

Fill in your variables: 2(3.14)(9.7)   or 2 x 3.14 x 9.7

use your calculator or simply solve it and you end up with 60.916.

I hope this helped :)

The sum of two numbers is 90. The larger
number is 14 more than 3 times the smaller
number. Find the numbers.

Answers

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

Answer:

[tex]19\text{ and }71[/tex]

Step-by-step explanation:

Let the smaller number be [tex]x[/tex]. The larger number can be represented by [tex]3x+14[/tex]

Solving, we get:

[tex]x+3x+14=90,\\4x+14=90,\\4x=76,\\x=\boxed{19}[/tex]

The larger number is therefore [tex]90-19=\boxed{71}[/tex]

Answer the following NEED ANS ASAP giving u 23points

Answers

Answer:

A. Fraction of all ingredeents that are flour = 1/3

B. Ratio of butter to sugar = 3:2

C.Sugar needed to make biscuits for 6 peopele =150 grams sugar

PLEASE HELP! WILL MARK BRAINLIEST!!

Adele, Barbara and Collette share $680 in the ratio 9: 7:4.

(a) Show that Adele receives $306.
(b) Calculate the amount that Barbara and Collette each receives.

Answers

Step-by-step explanation:

a. 726

b. 34

this is thr answer to thr questions a na d to

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot

Answers

Answer:

q =  ±5√5

Step-by-step explanation:

q² - 125 = 0

q² = 125

q = ±√(5 * 25)

q =  ±5√5

Answer:

i think its option 1 and 2

Step-by-step explanation:

dont know so pls tell me if im wrong

q = -5Negative 5 StartRoot 5 Endroot

q = 55 StartRoot 5 EndRoot

Darin has a rectangular vegetable garden. It is 5 yards long and 8 feet wide.
What is the perimeter of his vegetable garden? [best answer gets brainliest]

Answers

Answer:

about 15.328 yrds

Step-by-step explanation:

two sides are 5 yrds, so 5+5= 10yrds. two sides are 8 ft, 8+8=16 ft. there are .3333 yrds in 1 foot so 16*.3333 = about 5.328yrds

10+5.328 = 15.328

Please answer the attached file

Answers

Answer:

D

Step-by-step explanation:

Zeroes mean the amount of times the graph has touched the x-axis

ASAP

Help pls

Answer as fast as you can

Plsss help

Thank you

Answers

Answer:

42

Step-by-step explanation:

From the question, we have it that 63 cups were emptied

That means the sum of both cup sizes is 63

Thus;

x + y = 63 ••••••(i)

Since each small cup is of size 8 oz and a total of x was used. The total volume from the small sized cup is 8 * x = 8x oz

similarly for the medium sized, we have 12 * y = 12y oz

The sum of both is 4(147)

8x + 12y = 4(147 )•••••(ii)

We want to get the value of x

from equation i;

y = 63-x

Substitute this into equation ii

8x + 12(63-x) = 4(147)

8x + 756 - 12x = 4(147)

12x-8x = 756-4(147)

4x = 168

x = 168/4

x = 42 small sized cups

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