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2 years ago

4/5/10 in simplest form

Mathematics

1 answer:

Andrew [12]2 years ago

8 0

Your answer is 4 1/2 your welcome

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A chain fits tightly around two gears as shown. What is the radius of the smaller gear? Round your answer to the nearest tenth.

GrogVix [38]

Using the Pythagorean theorem we can solve for the radius

see attached picture:

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2 years ago

Read 2 more answers

Find the domain of the ration function<br> R(x)=7-2x/x^3-8x^2+7x

Luden [163]

$R(x)=\dfrac{7-2x}{x^3-8x^2+7x}\\\\The\ domain:\\\\x^3-8x^2+7x\neq0\\\\x(x^2-8x+7)\neq0\\\\x(x^2-x-7x+7)\neq0\\\\x[x(x-1)-7(x-1)]\neq0\\\\x(x-1)(x-7)\neq0\iff x\neq0\ \wedge\ x-1\neq0\ \wedge\ x-7\neq0\\\\\boxed{x\neq0\ \wedge\ x\neq1\ \wedge\ x\neq7}\to\boxed{x\in\mathbb{R}-\{0,\ 1,\ 7\}}$

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2 years ago

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b + 2 c + 3 j b+2c+3jb, plus, 2, c, plus, 3

ladessa [460]

Consider the complete question is "Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j, where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?"

Given:

Total number of trees chopped by them = $b+2c+3j$

b = number of hours Ben spends chopping = 8

c = number of hours Cam spends chopping = 3

j = number of hours Justin spends chopping = 4

To find:

The numerical value of total number of trees chopped by them.

Solution:

Total number of trees chopped by them = $b+2c+3j$

Put $b=8, c=3$ and $j=4$ in the given expression.

$Total=8+2(3)+3(4)$

$Total=8+6+12$

$Total=26$

Therefore, total number of trees chopped by them is 26.

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3 years ago

Mary, Rafael, and Goran sent a total of 119 text messages over their cell phones during the weekend. Goran sent 3 times as many

ryzh [129]

M + R + G = 119
G = 3M
M = R + 6 —> R = M - 6

1st equation: M + (M-6) + (3M) = 119
5M -6 = 119
5M = 125

M = 25
G = 3(25) = 75
R = (25) -6 = 19

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2 years ago

I need step by step explanation and answer please

fredd [130]

Answer:

Step-by-step explanation:

Trigonometric identities:

$\sin^{2} (x) + { \cos}^{2} (x) = 1 \\ {\cos}^{2} (x) = 1 - { \sin}^{2} (x) \\ { \sin }^{2} x = 1 - {\cos}^{2} (x) \:$

Replace into the equation

$\frac{ \sqrt{1 - \cos^{2} (x) } }{ \sin(x) } + \frac{ \sqrt{1 - \sin^{2}(x) } }{ \cos(x) } \\ \\ = \frac{ \sqrt{ \sin^{2}(x) } }{ \sin(x) } + \frac{ \sqrt{ \cos^{2}(x) } }{ \cos(x) }$

Remove roots and simply

$= \frac{ \sin(x) }{ \sin(x) } + \frac{ \cos(x) }{ \cos(x) } \\ \\ = 1 + 1 \\ = 2$

7 0

2 years ago