Answer:

Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

Answer:
A) y = -1/2x + 1/2
Step-by-step explanation:
Find the y-intercept(when x = 0), which is 1/2.
Find the slope: m = y2-y1 / x2-x1
I used points: (3, -1), (-3,2)
m = 2 - (-1) / -3 - 3
m = 3 / - 6
m = -1/2
plug this into the slope intercept form equation: y = mx + b
y = -1/2x + 1/2
The solution to the inequality is that Mikey's family can drive at most 148
Inequality shows the non equal comparison of numbers or expressions.
Given that Mikey situation can be represented by the inequality:
112 + x ≤ 260
Solving the inequality:
112 + x ≤ 260
Subtract 112 from both sides of the equation:
112 + x - 112 ≤ 260 - 112
x ≤ 148
Hence from the inequality, we can see that Mikey's family can drive
at most 148
Find out more at: brainly.com/question/25285332
Answer: 14 1/8
Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions
and
and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.
<u>Least Common Denominator:</u>
= 
= 
12 4/8 + 1 5/8 = 13 9/8
Notice that 9/8 is an improper fraction so we can change it to a mixed number.
9/8 = 1 1/8
13 + 1 and 1/8 = 14 1/8