Ask question

Ask question

All categories

2 years ago

8

A building across the street casts a shadow that is 24 feet long. Your friend is 6 feet tall and casts a shadow that is 4 feet l

ong. What is the height of the building?

2 answers:

jonny [76]2 years ago

7 0

The correct answer is 36 feet.

tiny-mole [99]2 years ago

5 0

The height of the building is 16 feet.

You might be interested in

If a boatman rows his boat 35km up stream and 55km downstream in 12 hours and he can row 30km upstream and 44 km downstream in 1

MariettaO [177]

To answer this item, we let x be the speed of the boat in still water. The speed of the current, we represent as y.

When the boat travels upstream or against the current, the speed is equal to x – y and x + y if it travels downstream or along with the current.

The time it takes for the an object to travel a certain distance is calculated by dividing the distance by the speed.

First Travel: 35 / (x – y) + 55 / (x + y) = 12

Second travel: 30 / (x – y) + 44 / (x + y) = 10

Let us multiply the two equations with the (x-y)(x+y)

This will give us,

35(x + y) + 55(x – y) = 12(x-y)(x+y)

30(x + y) + 44(x – y) = 10(x-y)(x+y)

Using dummy variables:

Let a = x + y and b be x – y

35a + 55b = 12ab

30a + 44b = 10ab

From the first equation,

b = 35a/(12a – 55)

Substituting to the second equation,

30a + 44(35a/(12a – 55)) = 10a(35a/(12a-55))

The value of a is 11.

b = 35(11)/(12(11) – 55))

b = 5

Putting back the equations,

x + y = 11

x – y = 5

Adding up the equations give us,

2x = 16

<em> x = 8 km/hr</em>

The value of x, the speed of the boat in still water, is 8 km/hr.

3 0

2 years ago

Read 2 more answers

Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which

stira [4]

Answer:

this is the answer 25

Step-by-step explanation:

i guessed

4 0

2 years ago

A factory received a shipment of 38 sprockets, and the vendor who sold the items knows there are 5 sprockets in the shipment tha

weeeeeb [17]

Answer:

a) 0.00019923%

b) 47.28%

Step-by-step explanation:

a) To find the probability of all sockets in the sample being defective, we can do the following:

The first socket will be in a group where 5 of the 38 sockets are defective, so the probability is 5/38

The second socket will be in a group where 4 of the 37 sockets are defective, as the first one picked is already defective, so the probability is 4/37

Expanding this, we have that the probability of having all 5 sockets defective is: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%

b) Following the same logic of (a), the first socket have a chance of 33/38 of not being defective, as we will pick it from a group where 33 of the 38 sockets are not defective. The second socket will have a chance of 32/37, and so on.

The probability will be (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%

5 0

2 years ago

How do you write 2.8 millimeters in expanded form?

KengaRu [80]

2.8 millimeter to meters is .0028 but to tell you, you didn't word the question correctly at there no such thing as expanded form

3 0

2 years ago

Read 2 more answers

Carla packed this box with 1 centimeter cubes what is the volume of the box

shusha [124]

Answer: $60\ cm^3$

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

$V=lwh$

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

$l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm$

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

$V=(4\ cm)(3\ cm)(5\ cm)$

Finally, evaluating, you get that the volume of the box is:

$V=60\ cm^3$

4 0

2 years ago