Answer:
40.1°
Step-by-step explanation:
JK is the hypotenuse of the right triangle.
For angle J, KL is the opposite leg.
sin A = opp/hyp
sin J = 4.7/7.3
J = sin^-1 4.7/7.3
J = 40.1
Answer: 40.1°
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
Answer: The plan with 250 minutes is best because she Maximus uses only 245 minutes per month so just 5 min to spare. Also i used mental math
Step-by-step explanation:
1470 divided by 6 equals= 245 minutes exactly unless Katherine had rounded her answer
In pemdas it is 62 just to let you one
Using translation concepts, it is found that the parent function was <em>reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit</em>.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
y = |x|
The translations are as follows:
- It was multiplied by -2, hence it was vertically stretched by a factor of 2, and since it was multiplied by a negative number, reflected over the x-axis.
- x -> x + 3, hence it was shifted 3 units right.
- One was subtracted from the function, hence it was shifted one unit down.
More can be learned about translation concepts at brainly.com/question/4521517