Answer:
s = 5/4
Step-by-step explanation:
Solve for s:
86 = 8 s + 76
86 = 8 s + 76 is equivalent to 8 s + 76 = 86:
8 s + 76 = 86
Subtract 76 from both sides:
8 s + (76 - 76) = 86 - 76
76 - 76 = 0:
8 s = 86 - 76
86 - 76 = 10:
8 s = 10
Divide both sides of 8 s = 10 by 8:
(8 s)/8 = 10/8
8/8 = 1:
s = 10/8
The gcd of 10 and 8 is 2, so 10/8 = (2×5)/(2×4) = 2/2×5/4 = 5/4:
Answer: s = 5/4
For this case we can model the problem as a rectangle triangle.
We know:
Length of the hypotenuse
Angle between the base of the triangle and the hypotenuse.
We want to know:
Length of the base.
For this we use the following trigonometric relationship:
Clearing x we have:
Rounding to the nearest tenth of a meter:
Answer:
The horizontal distance she has covered is:
<span>Postulates and conjectures are similar in that they are both used in mathematical proofs. The difference between them is that whilst a conjecture is a opinion that is put forward without proof, and that simply represents a belief, a postulate it something that is assumed true (but still does not have any proof behind it).</span>
Answer:
B
Step-by-step explanation:
The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
<h3>How to determine the combination</h3>
Note that the formula for combination is given as;
Combination =
From the information we have that;
There are 28 questions in the pool
The test should have a total of 10 questions;
6 difficult , 10 average and 12 easy questions
We are asked to determine the combination of;
3 difficult questions
4 average questions
3 easy questions
6C3 =
6C3 =
6C3 = 20
10C4 =
10C4 =
10C4 = 210
12C4 =
12C4 = 220
The number of ways of constructing the questions is
= 20 × 210 × 220
= 924, 000 ways
Thus, the number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
Learn more about combination here:
brainly.com/question/4658834
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