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andrezito [222]
2 years ago
7

An acute angle θ is in a right triangle with sin θ = seven elevenths. What is the value of the other five trigonometric function

s of θ.
Mathematics
1 answer:
Strike441 [17]2 years ago
4 0

Solve it yourself

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Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.
mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

(x-h)^2=4.a(y-k)

Now, here

y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2

So equation will be

(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2

So, option D is correct .

4 0
2 years ago
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Determine which of the following sequences is arithmetic. If the sequence is arithmetic, determine the first term a, an
Ilya [14]

Answer:

the sequence is arithmetic with first term 2 and common different is 2

Step-by-step explanation:

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7 0
3 years ago
On Monday, the temperature at 10 a.m. at Sam’s house was –6° Fahrenheit. The
Alika [10]

Answer:

8

Step-by-step explanation:

to find the answer, subtract the second amount (2) from the first amount (-6), -6 - 2 = -8, the temperat decreased by 8

6 0
2 years ago
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Let f(x) = 3x ­- 6 and g(x) = x ­- 2. Find f/g and its domain
Neko [114]
F(x) = 3x-6
g(x) = x-2

so f/g = 3(x-2)/(x-2) = 3

hope this will help you 
7 0
2 years ago
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Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
iren [92.7K]

Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

=\frac{19}{2} \times 8

=9.5\times 8=76\ fl.\ oz.

<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

<em>Tate drinks lemonade = 32 fl. oz.</em>

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

76-32

=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

3 0
3 years ago
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