Answer:
The answer is 5x^2+32x-21
Step-by-step explanation:
To find the area of a rectangle, you have to multiply the length by the width. Then, you will get the equation of (5x-3)(x+7). Then, multiply these two together, therefore getting 5x^2+32x-21.
The answer is less than :)
Answer:
Step-by-step explanation:
Sine is opposite divided by the hypotenuse.
sin(30) = 9/y
1/2 = 9/y
y = 18
Cosine is adjacent divided by the hypotenuse
cos(30) = x/18

Answer:
48 assistants
Step-by-step explanation:
If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.
Thus:
1.5 assistants to 1 executive = x assistants to 32 executives
1.5 : 1 = x : 32

Cross multiply


Therefore, 48 assistants were employed in the office.
Answer:
There were 28 different choices for the six locations to apply the new ointment
Step-by-step explanation:
The order in which the location are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Two events, A and B are independent, if:

How many different choices were there for the six locations to apply the new ointment?
Six locations from a set of 8. So

There were 28 different choices for the six locations to apply the new ointment