9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the number of 2-point field goals Rebecca made. Then the number of 3-point field goals can be represented by t, where ...
x = 2t -68 ⇒ t = (x +68)/2 . . . . . number of 3-point field goals
The number of free throws made was x -38.
Rebecca's total point count was ...
1(x -38) +2x +3(x +68)/2 = 847
9/2x +64 = 847
9/2x = 783
x = (2/9)(783) = 174
x -38 = 136
(x +68)/2 = 121
Rebecca made 136 free throws, 174 2-point field goals, 121 3-point field goals.
Part 2:
Solve the system and explain what the results mean according to your scenario.
2x + y = 11
3x + 4y = 24
...?
In triangle STU, the possible values for ∠S, derived by using the law of sines, are approximately 10.2° and 169.8°.
The student wants to find all possible values of ∠S in ΔSTU, s=1.6 cm, u = 9.5 cm and ∠U=24°. This is a problem involving the laws of sines and cosines in trigonometry. By using the law of sines, we can find ∠S = sin⁻¹ ((sin U * s) / u) ≈ 10.2° or 169.8° (since sinx is positive in both the 1st and 2nd quadrants). It is important to note that ∠S and ∠U are not complimentary angles in a right triangle, therefore, both possible values of ∠S are valid if they meet the condition that the sum of ∠S, ∠T and ∠U should be equal to 180° in ΔSTU.
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(Points : 1)
(2 + 9) • 2
10 • 3 – 6
9 • 5 + 7
9(12 ÷ 2)
Answer:
8 • 7 – 4 = 9 • 5 - 7.
Step-by-step explanation:
Given : 8 • 7 – 4 = ___________
To find : Which expression forms an equation with the given expression.
Solution : We have given 8 • 7 – 4 = ___________
First we solve the product
56 - 4.
52
Now we will check the 9 • 5 + 7
Solve the product 45 + 7 = 52.
So, the 8 • 7 – 4 = 9 • 5 - 7
Therefore, 8 • 7 – 4 = 9 • 5 - 7.