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3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPP

Mathematics

1 answer:

rodikova [14]3 years ago

7 0

For question 22, divide each number by 1.41 to see which one produces a quotient larger than 0.9. d is the answer.
For #23, multiple 0.155 million by 86%, the result is 133,300
again, d is the correct answer.

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Please Help!!! Due: Monday On Ellipses - Pre Calc

eduard

25. Step-by-step explanation:

$\text{The general form of an ellipse is:}\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1\\\\\bullet \text{(h, k) is the Center}\\\bullet \text{a is the radius of x}\\\bullet \text{b is the radius of y}\\\bullet \text{the largest value between a and b is the major}\\\bullet \text{the smallest value between a and b is the minor}\\\bullet \text{the vertices are the (h, k) value plus the major (a or b) value}\\\bullet \text{the co-vertices are the (h, k) value plus the minor (a or b) value}\\\bullet \text{Length is the diameter}=2r\\$

$\dfrac{x^2}{16}+\dfrac{y^2}{25}=1\quad \text{can be rewritten as}\ \dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{5^2}=1\\\\\bullet (h, k)=(0,0)\\\bullet a=4\\\bullet b=5\\\bullet \text{b is the largest value so: b is the major and a is the minor}\\\bullet \text{Vertices are }(0, 0+5)\ and\ (0, 0-5)\implies (0, 5)\ and\ (0, -5)\\\bullet \text{Co-vertices are }(0+4, 0)\ and\ (0-4, 0)\implies (4,0)\ and\ (-4,0)\\\bullet \text{Length of major is }2b:2(5)=10\\\bullet \text{Length of minor is }2a:2(4)=8$

To find the foci, first we must find the length of the foci using the formula:

$(r_{major})^2-(r_{minor})^2=c^2$

Then add the c-value to the h (or k)-value that represents the major.

b² - a² = c²

25 - 16 = c²

9 = c²

±3 = c

The center is (0, 0) and the major is the y-value so the foci is:

(0, 0+3) and (0, 0-3) ⇒ (0, 3) and (0, -3)

26. Answers

Follow the same steps as #25:

Center: (0, 0)

Vertices (7, 0) and (-7, 0)

Co-vertices: (0, 3) and (0, -3)

foci: (2√10, 0) and (-2√10, 0)

length of major: 14

length of minor: 6

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madam [21]

Answer:

66.3720930233

Step-by-step explanation:

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3 years ago

7. Cornerstone Bakery sold 78 pies on Monday, 96 pies on Tuesday, 40 pies on Wednesday, 104 pies on Thursday, and 77 pies on Fri

aleksley [76]

In order to find the average, you have to find the total, and then divide by the amount of days, which in this case is 5. The total is 395/5 = 79. Therefore, the average number of pies sold each day is 79

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3 years ago

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Phantasy [73]

Answer:

Could you post the question in the comments?

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