Answer:
A.) 48°
Step-by-step explanation:
There is a right angle and an angle of 42°
Therefore
x=180-90-42. (sum of int angles of triangle)
x=48°
Answer:
(A) 48
Step-by-step explanation:
Triangles have 180°, so all you have to do is subtract the numbers you already know from 180.
180-42 = 138
The square on the left corner means that degree is a right angle. Right angles are always 90°.
138-90 = 48degrees
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The volume of the toy box in cubic feet is 18 ft³.
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
First, we need to convert the dimensions of the box from inches to feet:
Height: 24 inches ÷ 12 inches/foot = 2 feet
Width: 36 inches ÷ 12 inches/foot = 3 feet
Length: 36 inches ÷ 12 inches/foot = 3 feet
So, the box has a height of 2 feet, a width of 3 feet, and a length of 3 feet.
To find the volume of the rectangularprism,
We multiply the height by the width by the length:
Volume = 2 feet x 3 feet x 3 feet = 18 cubic feet
Therefore,
The volume of the toy box in cubic feet is 18 ft³.
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the box.
The slope of the line is 1/4.
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given points:
(0, 6) and (8, 8)
Now, slope =
slope= ( 8- 6)/ (8-0)
slope = 2/8
slope= 1/4
Hence, the slope of the line is 1/4.
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Answer:
Step-by-step explanation:
The slope of a line can be seen as:
Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.
In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:
Therefore, the slope is .
This is true for any two points on the line.
:Done
*When you move up, the number will be positive . If you move down, the number will be negative . If you move left, the number will be positive . If you move right, the number will be negative . Keep this in mind. It is very important.
**Always move along the y-axis first, then move along the x-axis. If you do it the other way, the slope will be wrong.
By dividing the total number of peas (228) by the number of peas per pod (6), we find that Gregor Mendel has 38 pods of peas.
This question is asking how many pods of peas Gregor Mendel has if he has a total of 228 peas and each pod contains 6 peas. To find out this, you can divide the total number of peas by the number of peas per pod.
So, 228 peas ÷ 6 peas/pod = 38 pods.
Therefore, Gregor Mendel has 38 pods of peas that he is examining for his research.
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Answer:
No. Southwest flights did not arrive on time.
Step-by-step explanation:
Please see attachment
Answer:
t = 4 s
Step-by-step explanation
We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is 16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term
0 = -16t² + 16t + 192
0 = -t² + t + 12
0 = t² - t - 12
0 = (t - 4)(t + 3)
so either
t - 4 = 0
t = 4 s
or
t + 3 = 0
t = -3 s which we ignore as it occurs before the ball is released.