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Elina [12.6K]
3 years ago
12

Given cos 8 = and angle 6 is in Quadrant IV, what is the exact value of sin 0 in

Mathematics
1 answer:
adoni [48]3 years ago
4 0

cos0 = √3/2

1 - cos²0 = sin²0

= 1/4 = sin²0

sin in quadrant 4 is negative

sin0 = -1/2

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A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inc
ruslelena [56]

Answer:

$16,725.21

Step-by-step explanation:

To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone

Recall that the volume V of a cone

= 1/3Pir^2h

where r is the base radius and h is the height

Given that the  sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture

= 1/3 * 3.14 * 15^2 * 67

= 15,778.5 cubic inch

If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture

= 15,778.5 * 1.06

= $16,725.21

6 0
3 years ago
Rationalize the denominator of square root of negative 49 over open parentheses 7 minus 2 i close parentheses minus open parenth
navik [9.2K]

The answer is the option d, which is: d) \frac{-77+21i}{130}

The explanation for this problem is shown below:

1. Smplify the denominator and rewrite the numerator in this form:

\frac{7i}{7-2i-4-9i} \\\frac{7i}{3-11i}

2. Multiply the denominator and the numerator by the conjugated (3+11i) and simplify the expression, as following:

\frac{7i(3+11i)}{(3-11i)(3+11i)} \\ \frac{21i+77i^{2}}{121+9}  \\ \frac{-77+21i}{130}

3. As you can see, you obtain the expression shown in the option mentioned above.

3 0
4 years ago
Please help me I need help. No links. This is urgent
never [62]

Answer:

I think the volume is everything timesed by each other... soo 15x15x15x9=30375?

Step-by-step explanation:

I am very sorry if I am wrong.

8 0
3 years ago
Someone please help me with problem #7 !!!
ser-zykov [4K]

Answer: b and d

Step-by-step explanation:

Since the roots are x=2 and x=6, we can write the equation as

f(x)=a(x-2)(x-6)

Substituting in the coordinates of the vertex,

-4=a(4-2)(4-6)\\\\-4=-4a\\\\a=1

So, the equation is f(x)=(x-2)(x-6)

On expanding, we get f(x)=x^2 - 8x+12

3 0
2 years ago
Which list shows the absolute values in order from least to greatest?
Alexandra [31]

Answer:

-110,-45,710

Step-by-step explanation:

If the minus is on the numbers and there is a number without minus the answer is the one without minus

7 0
3 years ago
Read 2 more answers
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