Answer: equal to
Step-by-step explanation:
There are 4 quarts in a gallon
Answer: The height is 6.07 meters
Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;
Tan 34 = opposite/adjacent
Tan 34 = h/9
0.6745 = h/9
0.6745 x 9 = h
6.0705 = h
Therefore the approximate height of the barn to the ground is 6.07 meters
Pairs which is Adjacent side for quadrilateral MOLE is given below.
Step-by-step explanation:
Given:
Quadrilateral MOLE
Pair of adjacent sides of the quadrilateral.
Adjacent sides have one vertex common.
Option A: MO and LE
These sides does not have common vertex.
MO and LE are opposite sides in the quadrilateral MOLE.
It is not true.
Option B: EO and ME
In the quadrilateral, ME is not a side.
So it is not true.
Option C: LE and OL
In the quadrilateral, OL is not a side.
So it is not true.
Option D: ML and LE
These sides have common vertex L.
Therefore ML and LE are pair of adjacent sides.
It it true.
Hence ML and LE is a pair of adjacent side for quadrilateral MOLE.
To calculate the volume of a sphere you must use the formula
v=4/3pir^3
The radius (r) is half of the diameter
r=13.5
v=4/3pi13.5^3
v=10305.99
Therefore the volume of the sports ball is 10306cm^3 (to the nearest tenth)
The linear relationship in the form y = y = 3n + 72
What is linear relationship?
In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.
<h3>According to the given information :</h3>
Each plant generates 34 oz of beans when she plants 30 stalks, and 33 stalks results in 33 oz of beans per plant, according to the information we have provided.
Equation 1 using data 1:
y = mn + b
Equation 1 using data 1:
30 = 34m + b
Equation 2 using data 2:
33 = 33m + b
Subtract equation 1 from equation 2:
33 - 30 = 34m + b - 33m - b
3 = m
m = 3
Rearrange equation 1 to solve for b:
b = 34(3) - 30
b = 102 - 30
b = 72
Therefore the equation becomes:
y = 3n + 72
The linear relationship in the form y = y = 3n + 72
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