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3 years ago

Explain which trig functions and identities produce circles, ellipses and hyperbolas.

1 answer:

7 0

Note that we can also write equations for circles, ellipses, and hyperbolas in terms of cos and sin, and other trigonometric functions; there are examples of these ...

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if the breadth of rectangle in one third of its length and perimeter is 80 cm find length and breadth of rectangle

LiRa [457]

Answer:

length = 30 cm

Breadth = 10 cm

Step-by-step explanation:

Length = x cm

Breadth = (1/3)x

Perimeter = 80 cm

2(length + breadth) = 80

2* (x + (1/3)x) = 80

$2*(\frac{3}{3}x+\frac{1}{3}x) = 80\\\\2*(\frac{4}{3}x) = 80\\\\\frac{8}{3}x = 80\\\\x = 80*\frac{3}{8}\\\\x = 10*3$

x = 30cm

length = 30 cm

breadth = $\frac{1}{3}*30=10$ cm

6 0

2 years ago

Keith’s dog weighs 90 pounds and a healthy dog’s weight is less than 75 pounds. If Keith’s dog looses 1.25 pounds per week, how

vivado [14]

Answer:

12 weeks.

Step-by-step explanation:

Keiths dog will need to lose 15 pounds to get down to 75 pounds. If he loses 1.25 pounds per week, it will take 12 weeks to get down to 75 pounds. To figure this out, you would use the equation:

90 - 75 = 15

15 / 1.25 = 12

That is how you would get 12 weeks.

7 0

2 years ago

Write the standard equation for the circle center (-6, 7), r= 9.

Oduvanchick [21]

Answer:

(×+6)^2 + (y -7 ) ^2=81

Step-by-step explanation:

hope this helps

3 0

2 years ago

Logarithms:

bogdanovich [222]

Answer:

2^45 or ≈ 3.5*10^13

Step-by-step explanation:

Given equation

f(t) = 2^(kt)
f - number of cells, t - number of months, k- coefficient

We got 32 cells in the first month. It means:

t = 1, f(1) = 32

Using these numbers we can find the coefficient k:

32 = 2^(k*1)
2^5 = 2^k
k = 5

Then the equation becomes:

f(t) = 2^(5t)

Average time is 9 months, we can calculate the number of cells:

f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13

5 0

3 years ago

Evaluate the expression. (21÷7) +6 + 3³

spin [16.1K]

Answer: 36.
Solve in order of PEMDAS - parentheses, exponents, multiplication, division, addition and subtraction. 21/7= 3. 3^3 is 3*3*3=27. 3+ 6 + 27= 36.

8 0

3 years ago