What’s the value of x in this problem?
Answers
So the x is 62
Answer:
x = 62 degrees
Step-by-step explanation:
180 - 120 = 60 (For a straight line)
60 + 58 = 118 degrees
180 - 118 = 62 (Angle of triangle - all of the other angles)
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Baby Unicorns have a weekly training schedule, flying for 4 hours per day on some days and 2 hours per day on the other days. They fly a total of 24 hours in a seven-day week. On how many days do they fly for 4 hours?
Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?
Answers
Answer:
.1438848921
Step-by-step explanation:
you divide 1.2 by 8.34 then multiply it by 8.34 to check
Answers
f(x)=f(x1)+f'(x1)(x-x1)
Then,
f(x)=f(1)+f'(1)(x-1)=7+2(x-1)
And,
f(0.8)=6.6
Answers
Hi there! :)
Answer:
We can examine each answer choice individually:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900. Therefore, this choice is incorrect.
B. 569 · 10 = 5,690. This choice is incorrect.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000. This choice is correct.
D. 10² · 569 = (10 · 10) · 569 = 56,900. This choice is incorrect.
Therefore, the correct option is C.
Answer:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900.
B. 569 · 10 = 5,690.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000.
D. 10² · 569 = (10 · 10) · 569 = 56,900.
So your answer is C
Answers
Answer:
[2,∞)
Step-by-step explanation:
The range is the y intercept and the function starts at 2 and continues going up causing the range of the function to be [2,∞)
Answers
Answer:
x = 28
Step-by-step explanation:
HFG = EFI
6x - 4 = 164
6x = 164 + 4
6x = 168
x = 168/6
x = 28
Answers
Answer:
Step-by-step explanation:
As the base is a square so the length is a, width is a and the height is h.
According to the question,
a + a + h = 96
h = 96 - 2a .... (1)
Volume of the box, V = length x width x height
V = a x a x h
V = a² (96 - 2a) from equation (1)
V = 96a² - 2a³
Differentiate both sides
Now put it equal to zero.
192 a - 6a² = 0
a = 32 in
h = 96 - 2 x 32
h = 32 in
Thus, the length and the width os teh base is 32 in and the height is 32 in.
Final answer:
A square-based box with the greatest volume under a restriction of the sum of length, width, and height not exceeding 96 inches must have each dimension equal to 32 inches. Therefore, its volume will be 32x32x32 = 32,768 cubic inches.
Explanation:
A square-based box with the greatest volume that can fit the airline's restrictions would have each side (length, width, height) be exactly one third of the total permitted sum, namely 32 inches each, because the volume of a square-based box (a cube in this specific case) is calculated by cubing the edge length. This is due to the nature of a cube, where all sides are equal.
So, the volume of the box would be 32in x 32in x 32in = 32,768 cubic inches. This is the maximum volume because the mathematical principle that for a given sum S of width, length & height, a cube always takes up the most volume.
Learn more about Optimization in Mathematics here:
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