For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
1 answer:
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Answer:
720
Step-by-step explanation:
I will use the following counting principle:
Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.
First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of the set of six people, therefore there are ways of doing this.
Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.
By the product rule, there are 20×36=720 ways of arrange the officers.
Answer:
75.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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<h3>cosine</h3>The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...
cos(?) = 16/65
The inverse function is used to find the angle value:
? = arccos(16/65) ≈ 75.7°
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<h3>tangent</h3>The side opposite the angle of interest is 63. Then you have ...
tan(?) = 63/16
The inverse function is used to find the angle value:
? = arctan(63/16) ≈ 75.7°
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<em>Additional comments</em>
When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.
We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.
