Answer:
Step-by-step explanation:
hello :
The expression 1/2mv^2
M=1.6x10^3
V=3.4x10^3
is : 1/2(1.6x10^3 )(3.4x10^3)²=2.72x 10^9
Given :
As a plane takes off it ascends at a 20 degree angle of elevation.
If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.
To Find :
How high is the plane after 10 seconds.
Solution :
Distance travelled by plane, D = 2900 ft.
Angle of elevation, Ф = 20°.
Height gained is given by :
H = 2900 × sin 20°
H = 991.86 ft.
Therefore, height of plane after 10 seconds is 991.86 ft.
Hence, this is the required solution.
Answer:
120 cm²
Step-by-step explanation:
From the question;
- Length is 12 cm
- Width is 10 cm
We are required to determine the area of the cross section;
- Note that the cross section is the plane of a solid that remains constant through the solid.
- In this case, the cross section is a rectangle whose dimensions are 12 cm by 10 cm.
But Area of a rectangle = Length × Width
Therefore;
Area of cross section = 12 cm × 10 cm
= 120 cm²
Thus, area of the cross section is 120 cm²
Answer:
(-3, 5), (1, 4), (-2, 3), and (0, 2).
Step-by-step explanation:
When a function is inverted, the x-values become y-values, and the y-values become x-values.
The ordered pairs for the function are (5, -3), (4, 1), (3, -2), and (2, 0).
After inversion, the ordered pairs will be (-3, 5), (1, 4), (-2, 3), and (0, 2).
Hope this helps!
The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).
<h3>How to determine the fence's dimension?</h3>
Mathematically, the perimeter of a rectangle can be calculated by using this formula;
P = 2(L + W)
<u>Where:</u>
- P is the perimeter of a rectangle.
- L is the length of a rectangle.
- W is the width of a rectangle.
Since the length of this fence is 5 more than 3 times the width, we have:
L = 3W + 5
Substituting the given parameters into the formula, we have;
200 = 2(3W + 5 + W)
200 = 2(4W + 5)
200 = 8W + 10
8W = 190
W = 190/8
W = 23.75 feet.
For the length, we have:
L = 3W + 5
L = 3(23.75) + 5
L = 76.25 feet.
Read more on perimeter of a rectangle here: brainly.com/question/17107023
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