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Ahat [919]
3 years ago
10

Diameter=14.6 round to nearest tenth

Mathematics
2 answers:
grandymaker [24]3 years ago
4 0

The next greater tenth is  14.7
The next smaller tenth is  14.5

Neither of them is nearer to 14.6 than 14.6 already is.
So 14.6 is already the nearest tenth.


Butoxors [25]3 years ago
4 0
I think it is 15 because six is higher than five so you make it a 15
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A right triangle has side lengths 7, 24, and 25 as shown below.
elixir [45]

Answer:

SinL = 7/25

CosL = 24/25

TanL = 7/24

Step-by-step explanation:

Find the diagram attached.

Using SOH CAH TOA in trigonometry identity to find the sinL, cosL and TanL

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle L

Opposite = 7

Adjacent = 24

For SinL

sinL = Opposite/Hypotenuse {SOH}

SinL = 7/25

For cosL:

CosL = Adjacent/Hypotenuse{CAH}

CosL = 24/25

For tanL:

TanL = Opposite/Adjacent {TOA}

TanL = 7/24

7 0
3 years ago
What is the solution to 3(–3x + 9) = −18?
Rus_ich [418]

Answer:

x = 5 (If solved algebraically)

No Solution (If the parentheses are absolute value lines)

Step-by-step explanation:

Result when solving this way: 3|-3x + 9| = -18

1) Divide both sides by 3
|-3x + 9| = -18/3

2) Simplify 18/3 to 6

|-3x + 9| = -6

3)  Break down the problem into these 2 equations.

-3x + 9 = -6

- (-3x + 9) = -6

4) Solve the 1st equation: -3x + 9 = -6

- Subtract 1 from both sides.

-3x = -6 - 9

-Simplify -6 - 9 to -15.

-3x = -15

-Divide both sides by -3.

x = -15/-3

- Two negatives make a positive.

x = 15/3

- Simplify 15/3 to 5.

x = 5

6)  Solve the 2nd equation:  - (-3x+ 9) = -6

1 - Remove parentheses

3x - 9 = -6

2 - Add 9 to both sides

3x = -6 + 9

3 - Simplify -6 + 9 to 3.

3x = 3

- Divide both sides by 3.

x = 1

6) Collect all solutions.

x = 1,5

7) Check solution.

When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 1 from the solution set.

8) Check solution.

When x = 5, the original equation 3|-3x + 9| = -18  does not hold true.

We will drop x = 5 from the solution set.

9) Therefore,

No solution exists.

Result when solving algebraically:

Simplifying

3(-3x + 9) = -18

Reorder the terms:

3(9 + -3x) = -18

(9 * 3 + -3x * 3) = -18

(27 + -9x) = -18

Solving

27 + -9x = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -9x = -18 + -27

Combine like terms: 27 + -27 = 0

0 + -9x = -18 + -27

-9x = -18 + -27

Combine like terms: -18 + -27 = -45

-9x = -45

Divide each side by '-9'.

x = 5

Simplifying

x = 5

5 0
1 year ago
How many solutions does the equation 6z - 3z - 7 = -2 + 3 have?
erik [133]

Answer:

One

Step-by-step explanation:

6z - 3z - 7 = -2 + 3

Combine like terms

3z-7 = 1

Add 7 to each side

3z-7+7 = 1+7

3z=8

Divide each side by 3

3z/3 = 8/3

z = 8/3

There is one solution

6 0
2 years ago
How to solve this linear equation step by step please
mote1985 [20]
\bf \cfrac{3}{c^2-4c}-\cfrac{9}{2c^2+3c}=\cfrac{2}{2c^2-5c-12}\\\\\\ 
\begin{cases}
c^2-4c=&c(c-4)\\
2c^2+3c=&c(2c+3)\\\\
2c^2-5c-12=
&(2c+3)(c-4)
\end{cases}\\\\
-------------------------------\\\\
\textit{therefore, our LCD for the \underline{left-side} will have to be }\underline{c(c-4)(2c+3)}\\\\
-------------------------------\\\\

\bf \cfrac{3}{c(c-4)}-\cfrac{9}{c(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
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\cfrac{6c+9-(9c-36)}{c(c-4)(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
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\cfrac{6c+9-9c+36}{1}=\cfrac{2[c(c-4)(2c+3)]}{(2c+3)(c-4)}
\\\\\\
-3c+45=2c\implies 45=5c\implies \cfrac{45}{5}=c\implies 9=c
7 0
2 years ago
The circumference (C) C of a circle is 18 18 centimeters. Which formula can you use to find the radius (r) r if you know that C=
Serga [27]

C = 2πr

r = radius

c = circumference = 18

Plug in the corresponding numbers with variables.

18 = 2πr

Isolate the r. Divide 2 and π from both sides

(18)/2π = (2πr)/2π

9/π = r

C/π = r is your formula to finding r.

~

7 0
3 years ago
Read 2 more answers
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