Pls show working 3 friends shared the driving on a long trip. Marla drove 7 miles more than Guido. Guido drove five times as far
2 answers:
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Given:
A figure of a triangular prism.
Height of triangular base = yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
Putting and h=4 in (i), we get
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
We are given fractions and
.
In order to write them in simplest fractions, we need to find a common number that can divide both top and bottom.
Let us work on simplifying first fraction first.
We have 77672 on the top and 5548 in the bottom.
The greatest number 5548 can divide both 77672 and 5548 both.
Dividing 77672 by 5548, we get 14 and dividing 5548 by 5548 we get 1.
Putting quotent 14 on the top and 1 in the bottom, we get
. This is the answer for first part.
Let us work on simplifying second fraction .
Top number 288184 and bottom number 34, both can be divided by 34.
On dividing 288184 by 34, we get 8476 and dividing 34 by 34, we get 1.
Putting quotent 8476 on the top and 1 in the bottom, we get
. This is the answer for second part.
Answer:
6 feet
Step-by-step explanation:
Consider the right triangle formed by the wall, ladder and ground.
Let the distance the ladder is from the wall be d , then
Using Pythagoras' identity in the right triangle
The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then
d² + 8² = 10²
d² + 64 = 100 ( subtract 64 from both sides )
d² = 36 ( take the square root of both sides )
d = = 6
That is the ladder is 6 feet away from the wall
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = ≈ 0.246
So the probability of that is 24,6 %
Good Luck