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3 years ago

Help please!!! PLEASE HELP!

Mathematics

1 answer:

Nuetrik [128]3 years ago

5 0

9514 1404 393

Answer:

x = 8

Step-by-step explanation:

Corresponding segments are proportional.

2x/12 = (x+4)/9

18x = 12(x +4) . . . . . multiply by 9·12

6x = 48 . . . . . . . . . . subtract 12x

x = 8 . . . . . . . . . . . . divide by 6

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nadya68 [22]

Answer:

Step-by-step explanation:

2, 6, 28, 23,7.64.

because 64 is the furthest away from any other number

5 0

2 years ago

Rick and Sara have two children, Marcos and Jade. Use the clues to determine their ages. Rick is 4 years younger than Sara. Marc

Morgarella [4.7K]

Step-by-step explanation:

Let age of rick = x

age of sara = y

age of marcos = a

age of jade = b

Rick is 4 years younger than Sara.

x = y - 4

Marcos is 3 years older than Jade.

a = b + 3

Rick's age is twice the age of Marcos and Jade's ages combined.

x = 2(a+b)

The youngest is 9 years old.

The youngest is jade because rick and sara are the parents and marcos is older than she is.

b = 9

How old is each??

a = b + 3

a = 9 + 3 = 12

Marcos is 12 years old

x = 2(a+b)

x = 2 (12 + 9)

x = 2 (21) = 42

Rick is 42 years old

x = y - 4

42 = y - 4

y = 42 + 4 = 46

Sara is 46 years old

8 0

3 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

What is the sum of 3+(-5)?

pantera1 [17]

Answer:

Your answer is -2 hope this helps

7 0

3 years ago

Read 2 more answers

Laurie earns $6.50 per hour at the fruit

PtichkaEL [24]

Answer- 2 hours

6.50+3= 9.50
9.50•3= 28.5
54.50-28.50= 26
26/2= 13
13/ 6.50= 2

5 0

4 years ago