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.
Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
Answer:
D
Step-by-step explanation:
you have to multiply .79 to both a and 1.2. A is wrong because it's saying we need to multiply .79 to 1.2lb. which is the weight of oranges and the total cost of apples and oranges which is 6.27.
Answer:
x2ˣ + 2ˣ
Step-by-step explanation:
<u>Points to remember</u>
(f * g)(x) = f(x) * g(x)
It is given that, f(x)= 2ˣ and g(x)=x+1
<u>To find the value of (f * g)(x) </u>
Let f(x)= 2ˣ and g(x) = x + 1
(f * g)(x) = f(x) * g(x)
= (2ˣ )* (x + 1)
= (2ˣ * x) + ( 2ˣ * 1)
= x2ˣ + 2ˣ
First notice that we are finding the area of the trapezoid.
The area of a trapezoid is:

,
where h is the height, b₁ and b₂ being
the bases of the trapezoid.
But before we find the area we have to find the side length of the third side in the triangle. To find this, we need to use the Pythagorean Theorem.


When we solve this equation, we obtain 1.4387, which I will round to 1.4.
Now, we use the area formula. The side length of the bottom base is 1.4 + 7 = 8.4.
Plugging into the formula we get: