(07.08 MC) The graph below shows the price, y, in dollars, of different amounts of peanuts, x, in pounds: Which equation best re
presents the relationship between x and y? (5 points) Select one: a. y = x + 6 b. y = 3x c. y = 6x d. y = x + 3
1 answer:
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ANSWER:
1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07 mm
EXPLANATION:
<em>1. Know that the circumference formula for a full circle is:</em>
The value of pi () = 3.14
The radius () will be given in the diagrams.
<em>2. Now we can figure out the perimeters. </em>
<u>Shape One: Semi-circle</u>
C = 2 x 3.14 x 5
C = 31.4 cm
Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).
P =
P = 25.7 cm ≈ 25.70 cm
<u>Shape Two: Semi-circle</u>
C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)
C = 37.68 cm
Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).
P =
P = 30.84 cm
<u>Shape Three: Quadrant</u>
C = 2 x 3.14 x 3
C = 18.84 km
Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).
P =
P = 10.71 km
<u>Shape Four: Quadrant</u>
C = 2 x 3.14 x 0.3
C = 1.884 km
Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).
P =
P = 1.071 km ≈ 1.07 km
<u>Shape Five</u>
C = 2 x 3.14 x 1
C = 6.28 cm
For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:
C =
C = 6.28 - 1.57
C = 4.71 cm
Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.
P = 4.71 + 2
P = 6.71 cm
<u>Shape Six</u>
C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)
C = 9.42 cm
Do the same thing you did for Shape 5.
C =
C = 7.065 mm
Then add the flat sides (1.5 + 1.5 = 3) to this circumference.
P = 7.065 + 3
P = 10.065 mm ≈ 10.07 mm
Check the picture below.
is it even? well, even functions use the y-axis as a mirror, so a pre-image on the right-side, will be a mirror of the image on the left-side, but in this case it isn't so, if you put a mirror right on the y-axis, the left-side will look a bit different.
does it have a zero at x = 0? well, just look at the graph, is the line touching the x-axis at 0? nope.
does it have an asymptote at 0? well, surely you can see it right there.
is it even? well, even functions use the y-axis as a mirror, so a pre-image on the right-side, will be a mirror of the image on the left-side, but in this case it isn't so, if you put a mirror right on the y-axis, the left-side will look a bit different.
does it have a zero at x = 0? well, just look at the graph, is the line touching the x-axis at 0? nope.
does it have an asymptote at 0? well, surely you can see it right there.
The lengths of the sides of the triangle:
No sides are equal to each other, so it's a scalene triangle.
Check if the sides satisfy the Pythagorean theorem:
They do, so it's a right triangle.
The triangle is a right scalene triangle.