There are several information's of immense importance in the problem. Based on these information's the answer to the question can be easily reached. The only thing that has to be kept in mind is the calculation part, otherwise it is a simple problem.
Now it is given that:
A large chocolate shake takes 8/9 of a pint of milk.
Then
Amount of milk required to make medium shake = (8/9) * (1/7) of a pint
= 8/63 of a pint
Then it can be said that for making a medium chocolate shake , 8/63 of a pint of milk is required. This is the simplest form of the fraction and it cannot be expressed as a mixed number since the denominator is higher than the numerator.
The line has a positive slope of [2.5 - 1.5]/[5-3] =1/2. The the angle of lean is 26.6°.
Answer:
x = 36.87
Step-by-step explanation:
Find the length of the missing side.
x^2 + 12^2 = 15^2
x^2 + 144 = 225
x^2 = 81
x = 9
Now use the law of sines:
sin(90)/15 = sin(x)/9
Multiply each side by 9
9 * sin(90)/15 = sin(x)
0.6 = sinx
sin^-1 = 36.86989 rounded to 36.87
Answer:
The number of students who attend music club only is 13.
Step-by-step explanation:
The three different types of clubs are:
<em>D</em> = drama club
<em>M</em> = music club
<em>S</em> = sports club
The information provided is:
n (M) = 39
n (D) = 35
n (Exactly 2 clubs) = 26
Consider the Venn diagram attached.
From the Venn diagram it is clear that 13 students attended the Music club only.
Thus, the number of students who attend music club only is 13.
Since each vector is a member of

, the vectors will span

if they form a basis for

, which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors

that gives the zero vector

occurs for scalars

.

Solving this, you'll find that

, so the vectors are indeed linearly independent, thus forming a basis for

and therefore they must span

.