Answer:
cups
Step-by-step explanation:
We are told that a recipe calls for one half cup of ingredient A for every 1 and two thirds cups of ingredient B.
To find the number of cups of ingredient B we will use proportions.
Now let us substitute our amount of Ingredient A =4 in our proportions.
Multiplying both sides of our equation by 4.
Therefore, we need cups of ingredient B to make our recipe.
Answer:
Step-by-step explanation:
The equation for the monthly charge has the following format
In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.
Base charge of $17.32 per month.
This means that
charge of 7.32 cents per kilowatt-hour
Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is
Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.
Answer:
41.04 meters
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:
BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).
The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:
BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).
Simplifying gives:
BC^2 = 1684.091844.
Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).
Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!
<u>Answer:</u>
or
<u>Step-by-step explanation:</u>
We are given the following two fractions that we are to divide:
÷
We can rewrite this as:
To change this division into multiplication, we will take the reciprocal of the fraction in the denominator to get:
or
Answer: 4ft * 4ft 6ft * 6ft 4A * 4A 36.5 * 10^1 62 * 62 32 * 32 40 * 40
Step-by-step explanation: