Answer:
2.83
Step-by-step explanation:
just round to the nearest hundredth
Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
Answer: you can rent the kayak for 5.3 hours
Step-by-step explanation:
Total amount of money that you have to spend at the beach is 50.
A kayak cost 5 per hour to rent. This means that if you rent the Kayak for X hours, the amount that you will spend would be 5×x = 5x. I buy lunch for 8.50. I want to save 15 for food later. This means that total amount of money spent is the sum of money spent in renting the kayak and buying of lunch.
Total amount spent = 5x + 8.50
Total amount spent + Total amount that you want to save = Total amount of money that you have to spend at the beach. Therefore
5x + 8.50 + 15 = 50 - 15 - 8.5 = 26.5
x = 26.5/5 = 5.3
Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>
The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.
Evaluate the exponents
Evaluate the sum
Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>
The direction (∅) is calculated using the following tangent ratio.
Evaluate the quotient
Take the arc tan of both sides
Evaluate
Hence, Lyra's direction of travel is 27 degrees north of east
Read more about speed and distance at:
brainly.com/question/4931057
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