Answer:
D.
Step-by-step explanation:
Approximately what percentage of apple diameters is greater than the 66th percentile? 21. A. 3.4% B. 17% C. 66% D. 34%
1 answer:
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Answer:
Step-by-step explanation:
From AAA, both triangles in this figure are similar. Therefore, we can set up the following proportion:
or
.
Cross-multiplying, we get:
.
Answer:
x=9 and w=12
Step-by-step explanation:
To solve for w and x, create proportions between the two similar triangles.
where Big represents the bigger triangle an little represents the smaller triangle.
Cross multiply and solve for w.
8(12+w)=16(w)
96 + 8w = 16w
96 + 8w - 8w = 16w - 8w
96 = 8w
w=12
Repeat with a new proportion.
Cross multiply and solve for x.
8(24+x)=22(12)
192 + 8x = 264
8x = 72
x=9
Answer:
- (x-4.5)^2 +(y +5)^2 = 30.25
- x = (1/8)y^2 +(1/2)y +(1/2)
- y^2/36 -x^2/64 = 1
- x^2/16 +y^2/25 = 1
Step-by-step explanation:
1. Complete the square for both x and y by adding a constant equal to the square of half the linear term coefficient. Subtract 15, and rearrange to standard form.
(x^2 -9x +4.5^2) +(y^2 +10y +5^2) = 4.5^2 +5^2 -15
(x -4.5)^2 +(y +5)^2 = 30.25 . . . . . write in standard form
Important features: center = (4.5, -5); radius = 5.5.
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2. To put this in the form x=f(y), we need to add 8x, then divide by 8.
x = (1/8)y^2 +(1/2)y +(1/2)
Important features: vertex = (0, -2); focus = (2, -2); horizontal compression factor = 1/8.
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3. We want y^2/a^2 -x^2/b^2 = 1 with a=36 and b=(36/(3/4)^2) = 64:
y^2/36 -x^2/64 = 1
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4. In the form below, "a" is the semi-axis in the x-direction. Here, that is 8/2 = 4. "b" is the semi-axis in the y-direction, which is 5 in this case. We want x^2/a^2 +y^2/b^2 = 1 with a=4 and b=5.
x^2/16 +b^2/25 = 1
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The first attachment shows the circle and parabola; the second shows the hyperbola and ellipse.
