(5.1 x 103) • (3.2 x 103)
Answers
Answer:
11480.22
Step-by-step explanation:
5.1x3.2 + 5.1x103 + 103x3.2 + 103x103
16.32 + 525.3 + 329.6 + 10609
11480.22
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How many different patrols of 6 girls can be selected from a troop of 24 Girl Scouts?
12. If n(A) = 14, n(B) = 15, and n(AB) = 6, then n(AUB) is
Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)
Quadrilateral Practice Test, I’ll give brainliest to the correct answer with explanation
Answers
The answer is the first option: I, II and III.
The explanation is shown below:
1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:
Where and
are the variables and
is the constant of proportionality.
As you can see, is directly proportional to
and
.
2. Keeping the information above, you have:
I) (
varies jointly with
,
and
.
II) (If
is the constant of proportionality,
varies jointly with
and
).
III) (
varies jointly with
and
.
Answer : I, II and III
To find volume formula that shows joint variation we analyze each option
Joint variation always depends on atleast two dependent variables
for example y = kxy
The variable y depends on x and y and k is constant of proportionality
V= lwh
It means volume depends on length , width and height. 1 is the constant of proportionality .
V depends on radius r and height h. Here 1/3 pi is the constant of proportionality
V= BH
V depend on base b and height h . 1 is the constant of proportionality .
So answer is I, II , III
Answers
Answer:
Step-by-step explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:
Then:
Now we solve the equation for x
Divide both sides of equality by 8
So the length of each piece is of a yard.
This is: 1.125 yards
Answers
Answer: The answer is everytime you mutiply in by 0.6
Step-by-step explanation:
Answers
Answer:
Given: Polygon AB C D E F G H
it is not given whether polygon is regular,So we will consider it as non regular convex polygon.
Polygon AB C D E F G H is dilated by a scale factor of 3.4 to get the polygon A′B′C′D′E′F′G′H.
As the length of each side will increase by a factor of 3.4 with origin as center of dilation.
So , A'H'= Length of side AH × Scale factor of dilation
A'H'=3.4 AH
Answers
Final answer:
To find a point that is 3/10 of the way from point A to B, we scale the vector from A to B by 0.3. To find the x and y coordinates of this point, we use the formula X = x1 + 0.3 * (x2 - x1) and Y = y1 + 0.3 * (y2 - y1) respectively.
Explanation:
The question asks us to find the coordinates of a point that is 3/10 (or 30%) of the way from point A to B. This involves using the idea of vector addition and scalar multiplication in mathematics.
Let's represent the journey from point A to B as the vector AB. You can consider vector AB to be generated by some coordinates (x1, y1) at point A and some (x2, y2) at point B. If we are trying to locate a point that is 3/10 along the way from A to B, it is like scaling the vector AB by 0.3 (3/10).
To find the x and y coordinates of that point, we would calculate it as follows:
- X-coordinate = x1 + 0.3 * (x2 - x1)
- Y-coordinate = y1 + 0.3 * (y2 - y1)
As a result, by substituting the coordinates of point A and B into these equations, we can find the coordinates of the point that is 3/10 of the way from point A to B.
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Final answer:
To find the coordinates of a point 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The coordinates of A are (11,7) and the coordinates of B are (-3,-6). Using the midpoint formula, we can calculate the coordinates of the desired point are (6.8, 3.1).
Explanation:
To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the coordinates of A are (11,7) and the coordinates of B are (-3,-6). So, we can find the coordinates of the point 3/10 of the way from A to B by taking 3/10 of the difference between the x-coordinates and adding it to the x-coordinate of A, and taking 3/10 of the difference between the y-coordinates and adding it to the y-coordinate of A. Let's calculate it step by step:
x-coordinate: (3/10)(-3 - 11) + 11 = (3/10)(-14) + 11 = -4.2 + 11 = 6.8
y-coordinate: (3/10)(-6 - 7) + 7 = (3/10)(-13) + 7 = -3.9 + 7 = 3.1
So, the coordinates of the point that is 3/10 of the way from A to B are (6.8, 3.1).
Learn more about Midpoint formula here:
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Answers
Answer:
42 in each basket 4 leftover
Step-by-step explanation:
6 divided by 256 = 42 R4 and the remainder is how many are leftover.