Answer:
∠ ABC = 53.5°
Step-by-step explanation:
The inscribed angle ABC is half the measure of the intercepted arc AC
∠ ABC = × 107° = 53.5°
Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches. Which equation represents h, his sist
2 answers:
Answer:
The required equation is 4h-6=70.
Step-by-step explanation:
It is given that Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.
Let h be his sister’s height in inches.
4 times of his sister’s height = 4h
6 inches shorter than 4 times his sister’s height = 4h - 7
Since Jahlil is 6 inches shorter than 4 times his sister’s height, therefore the Jahlil's height is
It is given that Jahlil’s height is 70 inches.
Therefore the required equation is 4h-6=70.
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Answer: 15 gallons of gas is required for a 705 miles trip.
Step-by-step explanation:
Since we have given that
Number of miles in a trip = 235 miles
Number of gallon of gas is needed = 5
We need to find the amount of gas required for 750 miles trip.
Since there is direct variation, as for increase in number of miles, amount of gas must be increased.
According to question, it becomes,
Hence, 15 gallons of gas is required for a 705 miles trip.
The value of the given statement according to the mid point theorem is 5.
According to the statement
we have given that the equation and we have to integrate it with the help of the mid point theorem.
So, For this purpose, we know that the
The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
So, The given equation is
where n = 4
And
The mid point formula is a with limits a to b is
f(x) dx ≈ Δx (f (x₀ + x₁)/2) + (f (x₁ + x₂)/2) + ... (f (xₓ₋₂ + xₓ₋₁)/2) + (f (xₓ₋₁ + x)/2))
Then
Where Δx = (b-a)/n
Recall that
a= 0
b= 64 and
n=4, therefore,
Δx = (64-0)/4 = 16
The next step requires that the interval [0,64] be divided into 4 sub-intervals with length = Δx =16
Hence, we've got, 0, 16, 32, 48, 64.
From this point, we calibrate the respective functions as follows:
f (x₀ + x₁)/2) = f ((0+16)/2) = f(8) = Sin (8) = 0.98935824662
(f (x₁ + x₂)/2) = f((16+32)/2) = f(24) =Sin (24) = -0.905578362
(f (x₂ + x₃)/2) = f((32+48)/2) = f(40) = Sin (40) = 0.74511316047
(f (x₃ + x₄)/2) = f((48+64)/2) = f(56) = Sin (56) = -0.52155100208
At this point, we sum up the above values derive the product of the total and Δx = 16
sin (x) dx = 16(0.98935824662 - 0.905578362 + 0.74511316047 - 0.52155100208)
= 16 (0.30734204301)
= 4.91747268816
So, The value of the given statement according to the mid point theorem is 5.
Learn more about Mid point theorem here
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