Answer:
Michelle’s house is 44 miles to Richard’s house.
Step-by-step explanation:
The distance can be found out by using the trigonometric ratio of sine theta
Sine theta= Perpendicular/ Hypotenuse
We know the values of hypotenuse and theta
Sine 30 = 22/ Hypotenuse
Hypotenuse= 22/ sine 30
Hypotenuse= 22/0.5
Hypotenuse = 44
The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.
This whole problem rests on one thing:
Do you know the formula for the volume of this kind of shape ?
If you do, then the problem is easy. If you don't, then it's impossible.
This is the shape of a book, an ice cube, a brick, or a slab.
The volume is always
(length) x (width) x (height) (in any order) .
They all have to be in the same unit, and then the volume
is in the cubic-(...) of that unit.
In this picture, there's a tiny hiccup with the units ... the length and
the width are in meters, but the height is in centimeters, so you need
to change that one to meters before you can multiply them.
Notice right above the picture, it reminds you that
(1 meter = 100 centimeters) .
So the height of the slab (10 cm) is the same as 0.1 meter.
Now you have all 3 of the dimensions in meters, so you're
ready to multiply them and get the volume.
Volume = (length) x (width) x (height)
= ( 8 m ) x ( 6 m ) x ( 0.1 m )
= 4.8 cubic meters .
Question:
Does Meg have enough concrete to make the slab
with the dimensions shown ?
Answer: Yes .
Explanation:
Meg mixed 5 cubic meters of concrete.
She needs 4.8 cubic meters to pour the floor with those dimensions.
She has enough concrete to do the job.
All she needs is the whole football team to come over and help her
pour, smooth, and finish it. Concrete is hard hard work !
Can you post a picture so its better to understand
Answer:
0.00069104 approximately.
Step-by-step explanation:
You must first calculate the probability of not taking a ball with the letter B.
It would be the sum of the probabilities of taking I, N, G and O.
The probability of getting the letter I would be 15/75, that is 1/5. The same would be for the letter N, G and O. Since the 4 probabilities are equal.
Therefore it would remain (1/5) * 4 = 4/5.
Then the probability of not drawing a letter B would be 4/5.
However, in the case that it does not go out for 26 balls and that the ball that was taken out is not taken into account. It would be the multiplication of all events, that is:
(60/75) * (59/74) * (58/73) * (57/72) * ... * (35/50)
The result would be 0.00069104 approximately.
