Answer:
Answer in terms of a trigonometric function :
Answer in figures
Step-by-step explanation:
Consider the sketch attached below to better understand the problem.
Let x be the distance between point B and the base of the water tower.
From equation 2,
substituting the value of x into equation 1, we get
cross multiplying,
The height of the tower is in terms of the trig function "Tan"
The equation can simply be evaluated to get the answer in figures since the angles are given in the question
Write out the equation;
y=a^b
y=(-2)^2
y=(-2)(-2)
y=4
Therefore, the value of a^b is 4
Hope I helped :)
Answer:
= 184/5
Step-by-step explanation:
converting mixed numbers to fractions, our initial equation becomes,
44/5 × 2/11
Applying the fractions formula for multiplication you get,
= 924/5
Simplifying 924/5, the answer is
=184 4/5
Answer:
x=1.25, y=1.75
Step-by-step explanation:
The two triangles formed (one triangle with side lengths of 5, 7, 8 and another with sides 5+x, 10, and 7+y) are similar, because they share the same angle measures.
Now, 2 sides given that we can compare ratios with are the side with length 8, and the side with length 10. 10/8= 1.25, which is the ratio of the sides on these 2 triangles.
Now we want to find what the side '5+x' is equal to. To do that we can use our ratio, and multiply 5 by 1.25 to find '5+x'. This is 6.25. To find x, all we need to do is subtract 5 from 6.25, which is 1.25.
Let's find y now. Do the same thing that we did with the side '5+x'; find what '7+y' is by multiplying 7 by 1.25, which is 8.75. 8.75-7= 1.75.
Hope this helps! :)
Answer: 50 cases per minute
Step-by-step explanation:
1. Select one of the points on the graph. Let's use (2, 100) in this case.
2. Divide the number of cases (y) by the amount of minutes (x) This means the equation would be 100 ÷ 2.
3. Since 100 cases ÷ 2 minutes = 50 cases per minute, that means that is unit rate, which can be expressed by y = 50x or f(x) = 50x.
