Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixons shadow is 18 feet long and Ariadne’s shadow is 15 feet long. If Dixon is 6 feet tall how tall is Ariadne?

Answer:

710 ft

Step-by-step explanation:

8750 - 5200 = 3550

3550 / 5 = 710

Answer:

The dragonfly is 20.5 feet per second faster

Step-by-step explanation:

Answer:

Step-by-step explanation:

Speed of butterfly:

Speed of dragonfly:

The difference:

Correct choice is A

Answer:

Zeros would be x= 0, -2

Step-by-step explanation:

hope this helps :)

Hi there!

[tex]\large\boxed{g(f(t))(-4) = 193}[/tex]

Find g(f(t))(-4) by substituting in f(t) for t into g(t):

g(f(t))(t) = (-3t³ - 1) + 2

Simplify:

g(f(t))(t) = -3t³ + 1

Substitute in -4 for t:

g(f(t))(-4) = -3(-4)³ + 1 = 193

Answer:

0.04

Step-by-step explanation:

Answer:

=6 times 8q+6

=6(8q+1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).

Hope this helps!

Answer:

El lado del cuadrado inicial es 17 m.

Step-by-step explanation:

El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.

A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:

(x+3)*(x+5)= 440 m²

Resolviendo:

x*x + 5*x + 3*X + 3*5= 440

x² + 8*x + 15=440

x² + 8*x + 15 -440= 0

x² + 8*x -425= 0

Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

En este caso, a=1, b=8 y c=425. Reemplazando:

[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]

Resolviendo:

[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]

y

[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]

Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.

Answer:

$ 656.1

Step-by-step explanation:

a = 1000(1 - .1)^4

a = 1000(.9)^4

a = 656.1

Answer:

zero

Step-by-step explanation:

y = - 3 is a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis it has a slope of zero

Answer:

zero

Step-by-step explanation:

Answer:

4+x=-3+2x

4+3=2x-x

7=x

9x=9*7

=63

Step-by-step explanation:

Answer:

[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]

Answer:

-0.708073 this is the exact answer im not sure if they want you to round or not

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

By substituting the values in the given expression,

7² = x² + 2²

49 = x² + 4

x² = 49 - 4

x² = 45

x = √45

x = 3√5

x = 6.7 ft

Option B will be the correct option.

Answer:

y = -2x + 1

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

Answer:

x=3 and y=1 so the answer is b

Step-by-step explanation:

hope it helped have a good day<3

Answer:

B

Step-by-step explanation:

image attached is the step by step "explanation

Answer:

z = 3.2 units

Step-by-step explanation:

sin 76°/z = sin 51°/2.6

cross-multiply to get:

z·(sin 51°) = 2.6·(sin 76°)

z = 2.6·(sin 76°) ÷ (sin 51°)

z = 3.2

1 $ = 100 cents

1.5 $ = 150 cents

1.50 $ a percentage of 200 cents = (150/200)100= 75%

Answer:

A

Step-by-step explanation:

To sovle this we must combine the numbers togther and the variables togther.

We have:

8c+6-3c-2

Lets take out the c's and combine them:

8c -3c

=

5c

Now lets take out the numbers:

6-2

=

4

Now lets put these back together and we get the expression:

5c+4

This looks like A.

Hope this helps! :D

Answer:

Step-by-step explanation:

Given,

Time taken (t) = 10 - 6 = 4hrs

Water decreased (V) = 24000l - 18000l = 6000l

Now,

average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h

Answer:

I am guessing C

Step-by-step explanation:

Answer:

12x+8-30x+5=2x-16-42x+24

-18x+13=-40x+8

22x=-5

x=-5/22

hopefully i did it with out mistakes

Answer:

You were so worried about somebody guessing

you forgot to ask a question!

Step-by-step explanation:

Answer:

-1/2y

Step-by-step explanation:

2/4  =  1/2

Answer:

[tex]\frac{7^2 * 7^{3} * z^5}{z^3 * 10}\\\\= \frac{7^5 * z^2}{10}\\\\= \frac{16805z^2}{10}[/tex]

I'm not sure if it's correct

Answer:

Step-by-step explanation:

2.4*10^4*10^3*4.5

=10.8*10^4+3

=10.8*10^8

=10.8*100000000

=1080000000

Answer:

Joe: 3 hrs

Janet: 6hrs

Step-by-step explanation:

joe takes x hours

so in 1 hr he does 1/x of the garden

janet takes 2x hours

so in 1 hr she does 1/(2x) of the garden

In one hour together they do 1/2 of the garden

1/x + 1/(2x) = 1/2

2/(2x) + 1/(2x) = 1/2

3/(2x) = 1/2

Cross multiply

6 = 2x

x = 3

Joe: 3 hrs

Janet: 6hrs

Answer:

how do you plot?

Step-by-step explanation:

To the top right quadrant, the second bottom square, moving 4 units up.

Answer:

x = 15

Step-by-step explanation:

cross multiply -->

8x = 120 *divide by 8 on both sides*

x = 15

CHECK:

5/8 + 15/24

multiply by 3 to get the second fraction

Answer:

x=15

Step-by-step explanation: