A spinner is divided into four equal sections that are numbered 2, 4, 7, and 9. The spinner is spun twice.How many outcomes have
1 answer:
The spinner is divided into four equal sections: 2, 4, 7, 9. This represents 4 possibilities
If the spinner is spun twice, the sample space is:
For product less than 30, the number of outcomes is shown below:
The number of outcomes that have a product less than 30 = 10
The sample space that shows possibilities of an odd number combination:
The number of outcomes that contains at least one odd number = 12
The number of outcomes that have a product less than 30 and contain at least one odd number is shown below. These outcomes are outcomes circled in both cases shown above,
The outcomes circled represents the number of outcomes that has a product less than 30 and contains at least one odd number
Answer: 6 (option B)
You might be interested in
Answer:
- sin = 0.776595
- tan = 1.23269
- sec = 1.58730
- csc = 1.28767
- cot = 0.811234
Step-by-step explanation:
Cosine is the name of a function of an angle, not a triangle. We have drawn a triangle containing an angle (α) whose cosine is 0.63.
The cosine is the ratio of the adjacent leg of a right triangle to the hypotenuse, where "adjacent" refers to the angle of interest. In our triangle, we have ensured the cosine is 0.63 by making the adjacent leg be 63 and the hypotenuse be 100.
The length of the opposite leg can be found from the Pythagorean theorem.
opp = √(100² -63²) = √6031
The sine function is the ratio of that to the hypotenuse:
sin(α) = (√6031)/100 ≈ 0.776595
The tangent function is the ratio of opposite to adjacent sides:
tan(α) = (√6031)/63 ≈ 1.23269
__
The secant is the inverse of the cosine:
sec(α) = 1/0.63 ≈ 1.58730
The cosecant is the inverse of the sine:
csc(α) = (100√6031)/6031 ≈ 1.28767
and the cotangent is the inverse of the tangen:
cot(α) = (63√6031)/6031 ≈ 0.811234
