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3 years ago

at a certain time of day a person 6 ft tall cast a 4 ft shadow how long is the shadow cast by ba 21 ft tree at the same time?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

Use the cross products rule. 6/4 = 21/x. You will get 6x = 84. Divide both sides by 6 to get x = 14 feet.

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Porter and Jacob went to the candy store. Porter bought 1 pound of chocolate and Jacob bought 32 ounces of gummy bears. Who boug

Sindrei [870]

Answer:

Jacob

Step-by-step explanation:

1 pound is 16 ounces. 32 ounces = 2 pounds.

4 0

3 years ago

from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second

anygoal [31]

Answer:

9 seconds

Step-by-step explanation:

The complete question is

The altitude of an object, d, can be modeled using the equation below:

d=-16t^2 +vt+h

from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?

Let

d ----> the altitude of an object in feet

t ---> the time in seconds

v ---> initial velocity in ft per second

h ---> initial height of an object in feet

we have

$d=-16t^2 +vt+h$

we know that

When the arrow reach the water the value of d is equal to zero

we have

$v=90\ ft/sec$

$h=486\ ft$

$d=0\ ft$

substitute the values and solve for t

$0=-16t^2 +(90)t+486$

$-16t^2+90t+486=0$

Multiply by -1 both sides

$16t^2-90t-486=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$a=16\\b=-90\\c=-486$

substitute in the formula

$t=\frac{90(+/-)\sqrt{-90^{2}-4(16)(-486)}}{2(16)}$

$t=\frac{90(+/-)\sqrt{39,204}}{32}$

$t=\frac{90(+/-)198}{32}$

$t_1=\frac{90(+)198}{32}=9\ sec$

$t_2=\frac{90(-)198}{32}=-3.375\ sec$

the solution is t=9 sec

see the attached figure to better understand the problem

4 0

3 years ago

Timothy is re-arranging his marble collection.he has five identical blue marbles,five identical green marbles and three identica

romanna [79]

Based on the scenario, the case must be filled like this :

blue/green/black x blue/ green/black x blue/green/black x random x random

Different ways he can arrange it :

3 x 5!/(2!x2!) + 3x <span>5!/3!
</span>
90 + 60

= 150 ways

hope this helps

7 0

3 years ago

Read 2 more answers

The markup on a restaraunt meal is 250%. A meal costs $7.30 to produce. How much will the customer be charged before tax and tip

Anarel [89]

Answer:

$25.55

Step-by-step explanation:

7.30*2.50=18.25

7.30+18.25=25.55

8 0

2 years ago