The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
<h3>What is permutation and combination?</h3>
A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.
We have:
Total number of outcomes for pyramid = 4
Total number of outcomes for spinner = 5
Total outcomes = 4×5 (multiplication rule of counting)
= 20
Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.
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Answer:
2700 I believe
Step-by-step explanation:
Hi!
<u>Positive</u> <u>discriminants</u> will give you <u><em>two</em></u> <u>solutions</u>.
<u>Discriminants</u> <u>equal</u> <u>to</u> <u>zero</u> will give you <u><em>one</em></u> <u>solution</u>.
<u>Negative</u> <u>discriminants</u> will give you <u><em>no</em></u> <u>solutions</u>.
In a graph, the number of solutions is where the graph crosses the x-axis.
In the first graph, we can see it intersects the graph at two points: (2, 0) and (6, 0). Since there are two solutions it is a positive discriminant.
In the second graph, we can see it intersects at one point: the origin, or (0, 0). Since there is one solution it is a discriminant equal to zero.
In the third graph, we can see it doesn't intersect; it is above the x-axis. Since there are no solutions it is a negative discriminant.
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Answer:
Given: ABCD is a parallelogram.
Prove: Angle A and B are supplementary and C and D are supplementary.
That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°
Statement Reason
1. ABCD is a parallelogram 1. Given
2.m∠A=m∠C and m∠B=m∠D 2. Definition of parallelogram.
3.m∠A+m∠B+m∠C+m∠D=360° 3. Definition of quadrilateral
4. m∠A+m∠B+m∠A+m∠B=360° 4. By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
Similarly, m∠C + m∠D = 180°
5.∠A and ∠C are supplementary, 5. Def. of Supplementary
∠ B and ∠D are supplementary
Answer:
115ft^2
Step-by-step explanation:
10 * 11.5 = 115