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xeze [42]
4 years ago
10

Product tan1°.tan2°.tan3º......tan89° is:

Mathematics
1 answer:
Gelneren [198K]4 years ago
4 0

\sin(x) = \cos(90-x)  \frac{sin(x)}{cos(90-x)} = 1\\\prod_{n=1}^{89}\tan(n) = \frac{\sin(1)}{\cos(1)} \cdot \frac{sin(2)}{cos(2)}...\frac{sin(89)}{cos(89)} = 1

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Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
nekit [7.7K]

Answer:

Required inequality is 4800+183x>8000.

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

4800+183x>8000

Hence required inequality is 4800+183x>8000.

5 0
3 years ago
Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm th
Wittaler [7]

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

V=\pi r^2h

Where, r = radius

h = height

Put the value into the formula

V=\pi\times(2)^2\times13

V=163.3\ cm^3

Hence, The volume of the cylinder is 163.3 cm³.

6 0
3 years ago
Given x=5 + √16 , select the value(s) of x. -11 1 9 21
Schach [20]

Answer:

The answers would be 9 and 1.

Step-by-step explanation:

x= 5±√16 can be separated into two equations.

x=5+√16 and x=5-√16

1. 5+√16 can be solved by simplify √16, which is 4. So then it would become   5+4 which equals 9.

2. 5-√16 can be solved by simplifying √16 which is 4. So then it would become 5-4 which equals 1.

So the values of x are 9 and 1.

6 0
3 years ago
Read 2 more answers
Pls help <3 i mean i’m sure it’s easy but i don’t know what to write.
I am Lyosha [343]
Circumference/Diameter = pi = 3.14
C/D = pi = 3.14
5 0
3 years ago
I don't understand how to put anything into standard form. If anyone could help please that'd be great.
Norma-Jean [14]
I think you would distribute what is in the parentheses and then make it so only a and b are on the left and i and the other characters that can be simplified are on the left but feel free to Google it.
3 0
3 years ago
Read 2 more answers
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