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makvit [3.9K]
3 years ago
9

An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
Sin = opposite/hypotenuse, so one side is 7 and the other is 8.
sqrt(64-49)=sqrt(15) which is the third side, and tangeant = opposite/adjacent, which is 7/sqrt(15). Cotangeant is 1/tangeant, so it would be sqrt(15)/7
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-b/2a is the equation to find the x coordinate of the vertex point and it's y, when x is plugged into the quadratic equation.

Step-by-step explanation:

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Determine how many lines of symmetry each object has. Then determine weather each object has rotational symmetry
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Answer:

2: yes

Step-by-step explanation:

5 0
3 years ago
Help plz!!!
lara [203]

Answer with explanation:

→→→Function 1

f(x)= - x²+ 8 x -15

Differentiating once , to obtain Maximum or minimum of the function

f'(x)= - 2 x + 8

Put,f'(x)=0

-2 x+ 8=0

2 x=8

Dividing both sides by , 2, we get

x=4

Double differentiating the function

f"(x)= -2, which is negative.

Showing that function attains maximum at ,x=4.

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           = -16 +32 -15

          = -31 +32

          =1

→→→Function 2:

f(x) = −x² + 2 x − 3

Differentiating once , to obtain Maximum or minimum of the function

f'(x)= -2 x +2

Put,f'(x)=0

-2 x +2=0

2 x=2

Dividing both sides by , 2, we get

x=1

Double differentiating the function,gives

f"(x)= -2 ,which is negative.

Showing that function attains maximum at ,x=1.

f(1)= -1²+2 ×1 -3

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6 0
3 years ago
PLEASE HELP ASAP!!! WILL AWARD BRAINLIEST!! THANKS!! A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 ch
gayaneshka [121]

Answer:

377 meals

Step-by-step explanation:

If you choose to have all three courses, then there are 6 choices for the first course, 8 for the second, and 5 for the last, making a total of 6*8*5=240 different possible meals.

If you choose two courses, then there are 3 options. You can pick appetizer and main meal, which would give you 6*8=48 possibilities. You can pick main meal and dessert, which would give you 8*5=40 possibilities. Finally you can pick appetizer and desert, which would give you 6*5=30 possibilities. In total these are 118 different possible meals with two courses.

Finally, you could choose 1 course, which would give you 6+8+5=19 different meals.

In total, this is 240+118+19=377 meals

8 0
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Lesechka [4]

Answer:

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Step-by-step explanation:


8 0
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