Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
In max’s tea shop there is 25 percent (%) of caffeinated tea of the total number of tea present in his shop, in fraction form it 1/4.
Max's tea shop served all teas = 88
Max's tea shop served caffeinated tea = 22
Here we have to find the percentage of caffeinated tea with the overall tea his tea shop has, make the fraction value of the given number then after finding the fraction then multiply it by 100
According to the question
Percentage = number of caffeinated tea/total number of tea * 100
Percentage = 22/88 * 100
Percentage = 2/8 * 100
Percentage = 1 / 4 * 100
Percentage = 25 %
Therefore in max’s tea shop there 25% of caffeinated tea.
Learn more about percentage :
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<span>Answer:</span><span>
<span>B) The maximum height is 11.3 ft and it reaches this height at 0.72
seconds.
</span>Explanation:
Part (a) : getting the
time taken to reach maximum height:
The given equation is:
h = -16t² + V0*t + h0
We are given that:
Initial velocity (V0) =23 ft/sec
Initial height (h0) = 3 ft
The equation now becomes:
h = -16t² + 23t + 3
For maximum height:
dh / dt = zero
This means that:
-16(2) t + 23 = 0
-32t + 23 = 0
32t = 23
t = 0.71875 sec which is approximately 0.72 seconds
Part (b): getting the
maximum height:
The equation given to get the height is:
h = -16t² + V0*t + h0
We are given that:
Initial velocity (V0) =23 ft/sec
Initial height (h0) = 3 ft
We have calculated that:
time taken to reach maximum height = 0.72 sec
Substitute with the givens in the equation to get the maximum
height as follows:
h = -16t² + V0*t + h0
h = -16(0.72)² + 23(0.72) + 3
h = 11.2656 ft which is approximately 11.3 ft
Hope this helps :)</span>
Answer:
elective credit
Step-by-step explanation:
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American Sign Language (ASL) is a complete, natural language that has the same linguistic properties as spoken languages, with grammar that differs from English. ASL is expressed by movements of the hands and face
This question is not clear, you should provide more information
y=47.38+.617x
130 = 47.38+.617x
subtract 47.38 from each side
82.62=.617x
divide by .617 on each side
133.906 =x
to the nearest minute x=134
Answer Choice C