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postnew [5]
3 years ago
11

I will give you the brainliest if you answer asap please

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

168

Step-by-step explanation:

You just need to triple the answer to get 168.

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How do you simplify the following trigonometric expression:
Veronika [31]
\bf \cfrac{sec(x)sin(x)+cos(\pi -x)}{1+sec(x)}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{1}{cos(\theta)}\qquad \qquad cos(\pi )=-1\qquad sin(\pi )=0
\\\\
cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})\\\\
-----------------------------\\\\
\cfrac{\frac{1}{cos(x)}sin(x)+[cos(\pi )cos(x)+sin(\pi )sin(x)]}{1+\frac{1}{cos(x)}}
\\\\\\
\cfrac{\frac{sin(x)}{cos(x)}+[-1\cdot cos(x)+0\cdot sin(x)]}{\frac{cos(x)+1}{cos(x)}}

\bf \cfrac{\frac{sin(x)}{cos(x)}+[-cos(x)]}{\frac{cos(x)+1}{cos(x)}}\implies \cfrac{\frac{sin(x)-cos^2(x)}{cos(x)}}{\frac{cos(x)+1}{cos(x)}}
\\\\\\
\cfrac{sin(x)-cos^2(x)}{cos(x)}\cdot \cfrac{cos(x)}{cos(x)+1}\implies \cfrac{sin(x)-cos^2(x)}{cos(x)+1}

5 0
3 years ago
Write 2.484848... as a mixed number in simplest form.
NeX [460]

Step-by-step explanation:

step 1. x = .484848 . . . repeats

step 2. 100x = 48.48484848 . . . (multiply by 100)

step 3. subtract x from 100x : 99x = 48

step 4. x = 48/99 (now add the 2 back in)

step 5. answer: 2-48/99.

4 0
2 years ago
A tree has a circumference of 16 ft. Calculate the volume of wood it contains if the tree is 10ft tall. Round your answer to the
Veronika [31]

Answer:

Step-by-step explanation:

The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

If the tree has a circumference of 16 ft, it means that

2πr = 16

πr = 16/2 = 8

r = 8/π

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

if the tree is 10ft tall, then the volume of wood it contains is

Volume = π × (8/π)² × 10

Volume = 64/π × 10

Volume = 64/3.14 × 10

Volume = 204 cubic feet

7 0
3 years ago
The sum of 9 and a number is twice a number plus 14. Write an equation.
Olin [163]

Answer:

9+x = 2y+14

Step-by-step explanation:

It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14

6 0
2 years ago
Find the missing factor 2n^2(n-3)-4(n-3)=( )(n-3)
wariber [46]
Factoring the common factor (n-3) from the terms on the left side, that left-side expression becomes
  (2n^2-4)(n-3)

We presume your missing factor is
  (2n^2-4)
7 0
3 years ago
Read 2 more answers
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