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3 years ago

3tan x * cos x * cot x =

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

Answer:

3cos(x)

Step-by-step explanation:

use cot(t) = 1/tan(t), transform the expression:

3tan(x)cos(x)x1/tan(x)

reduce the expression with tan(x):

3cos(x)

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6. For a particular pickup truck, the percent markup is known to be 115% based on cost to the seller. If the seller paid $15,800

Neko [114]

Answer:

53.5 %

Explanation:

You can convert the percent markup into a multiplicative factor in this way:

Base price: 15,800 . . . (cost to the seller)

Percent mark up: 115% . . . (based on the cost to the seller)

Sale price: 15,800 + 115% of x = 15,800 + 115 × 15,800 /100 =

= 15,800 + 1.15 × 15,800 = 15,800 (2.15) = 33,970

The markup is:

Markup = price paid by the seller - cost to the seller = 33,970 - 15,800 = 18,170 (notice that this is 115% of 15,800)

And the percent markup based on the sale price is:

% = (markup / sale price) × 100 = (18,700 / 33,970) × 100 =

= 53.49 %

Rounding to the nearest tenth percent that is 53.5 %.

4 0

3 years ago

The contrapositive of p q is:

Kay [80]

Some symbols are missing. I'm assuming you meant to put in a horseshoe symbol like so $p \supset q$

If so, then the contrapositive of that would be $\sim q \supset \ \sim p$ which is the final answer.

The tilde sign $\sim$ means "not" so writing $\sim q$ means "not q" which is the complete opposite of q.

6 0

3 years ago

What statements describe the properties of a plane? Select three options.

Genrish500 [490]

Answer:

2)A plane has length and width.

3)A plane extends infinitely in all directions

5)A plane is a flat surface.

Step-by-step explanation:

We can think of a plane as a line in space with no height, only length and width.

Yes, a plane is a two-dimensional surface, hence it has length and width.

2)A plane has length and width (TRUE)

The plane surface extends infinitely far, therefore it extends infinitely in all direction.

3)A plane extends infinitely in all directions (TRUE)

5)A plane is a flat surface(TRUE)

The correct options are 2,3 and 5.

See attachment

7 0

2 years ago

30 points!! What is the sum of the first six terms of the series? 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

2 years ago

As a sales person, you are paid $100 per week plus a commission of $5 per sale. If you want to earn at least $275 this week, how

dedylja [7]

275-100=175 (amount of bonus) 175÷5 (amount per bonus)= 35 total sales

8 0

2 years ago