Pls help this is due today Find the m
1 answer:
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Answer:
6 4/7
Step-by-step explanation:
Convert any whole numbers to mixed numbers
Use fractions formula
Count how many times 276 goes into 42 <em>evenly</em>
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Answer:
B (1, 8)
C (13, 4)
D (11, -2)
Step-by-step explanation:
ABCD is a rectangle, so it has four right angles. The equation of BC is 3y + x = 25, or in slope-intercept form, y = -⅓ x + ²⁵/₃.
That means the slope of AB is 3. So the equation of AB in point-slope form is:
y − 2 = 3 (x − (-1))
Or in slope-intercept form:
y − 2 = 3 (x + 1)
y − 2 = 3x + 3
y = 3x + 5
B is the intersection of these two lines.
3x + 5 = -⅓ x + ²⁵/₃
9x + 15 = -x + 25
10x = 10
x = 1
y = 8
The coordinates of B are (1, 8).
The distance between A and B is:
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((1 − (-1))² + (8 − 2)²)
d = √(2² + 6²)
d = √40
The area of the rectangle is 80 square units, so the distance between B and C is:
A = wh
80 = w√40
w = 80 / √40
w = 80√40 / 40
w = 2√40
In other words, the distance between B and C is double the distance between A and B. We can use distance formula again to find the coordinates of C, or we can use geometry.
If the right triangle formed by hypotenuse AB is a 2×6 triangle, then the right triangle formed by hypotenuse BC is a 4×12 triangle.
So x = 1 + 12 = 13, and y = 8 − 4 = 4.
The coordinates of C are (13, 4).
Similarly, the coordinates of D are:
x = -1 + 12 = 11
y = 2 − 4 = -2
D (11, -2)
Taking into account the change of units, the player ran 90 feets in the football game.
<h3>Rule of three</h3>In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So:
The direct rule of three is the rule applied in this case where there is a change of units.
<h3>Change of units</h3>To perform in this case the conversion of units, you must first know that 1 yard = 3 feets. So, if 3 feets is 1 yard, how many feets equals 30 yards?
1 yard ⇒ 3 feets
30 yards ⇒ x
So:
Solving:
<u><em>x= 90 feets</em></u>
In summary, the player ran 90 feets in the football game.
Learn more with this example: