Answer:
(B) Decrease by 12.5%
Step-by-step explanation:
For this case we know that the revolution is proportional to the circumference.
And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.
We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:
Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.
If we find the average revolutions per each case we got:
Tuesday:
Monday:
And then we can find the % of change like this:
And if we replace we got:
Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.
So then the best answer for this case would be:
(B) Decrease by 12.5%
Similar triangles have side lengths that are proportional.
We setup a proportion using the given information.
AB/LM = BC/MN
8/12 = 14/MN
8(MN) = 12 * 14
8(MN) = 168
MN = 168/8
MN = 21
Answer:
15) 30°
16) 49.5°
Step-by-step explanation:
15) We solve using the Trigonometric function of Sine
sin θ = Opposite/Hypotenuse
Opposite = 12
Hypotenuse = 24
sinθ = 12/24
θ = arc sin(12/24)
= 30°
Approximately = 30°
16)We solve using the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = 13
Hypotenuse = 20
cos θ = 13/20
θ = arc cos (13/20)
= 49.458398126°
Approximately = 49.5°
Answer:
i know this isnt suppose to be here or any of that but this needs to be stop any where...ok now that i have your attention everyone needs to know this people all over the world are burning bibles LETS STOP THIS because that is so disrepecful that people are doing that to the bible and thats hurting jesus and gods heart LETS STOP THIS BURNING BIBLE STUFF pls copy and paste this and share the word so we can stop this.
Step-by-step explanation:
Let's make two expressions.
4.92+3.79x
This represents the car service's cost, which x being miles.
4.2x
This is the most Jason wants to spend. Let's make them equal.
4.92+3.79x=4.2x
We need to get x by itself, Let subtract 3.79x from both sides.
4.92=0.41x
Let's divide.
4.92÷0.41=12
So, he should not drive no more than 12 miles.
