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3 years ago

FIND sin0 WHERE 0 IS THE ANGLE SHOWN. GIVE AN EXACT VALUE, NOT A DECIMAL APPROXIMATION. Branliest

Mathematics

1 answer:

expeople1 [14]3 years ago

6 0

Answer:

$\frac{\sqrt{15} }{8}$

Step-by-step explanation:

We require to find the third side of the triangle.

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x represent the third side, then

x² + 7² = 8², that is

x² + 49 = 64 ( subtract 49 from both sides )

x² = 15 ( take the square root of both sides )

x = $\sqrt{15}$

Thus

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{\sqrt{15} }{8}$

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Identify the slope (m) and y-intercept (b) of the graph of each equation y=1/2x-7

Tamiku [17]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have the following equation:

$y = \frac {1} {2} x-7$

So:

$m = \frac {1} {2}$ , the slope is positive

$b = -7$

For the graph, we place the point on the coordinate axis:

$(x, y) :( 0, -7)\\(x, y) :( 1, - \frac {13} {2})$

We draw the line!

The graphic is attached.

ANswer:

$m = \frac {1} {2}$ , the slope is positive

$b = -7$

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3 years ago

Combine like terms to create an equivalent expression. Make sure to simplify coefficients and constants as well. 2\left(\dfrac{1

blsea [12.9K]

Answer:

$\dfrac{2m}{5}-\dfrac{1}{5} \:or\: \dfrac{2m-1}{5}$

Step-by-step explanation:

Given the expression

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac35$

STEP 1: Eliminate the brackets

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac35=\dfrac{2}{5}m-\dfrac{4}{5}\right+\dfrac35$

STEP 2: Simplify the constants

$\dfrac{2m}{5}+\dfrac35-\dfrac{4}{5}=\dfrac{2m}{5}+\dfrac{3-4}{5}\\=\dfrac{2m}{5}-\dfrac{1}{5}\\=\dfrac{2m-1}{5}$

6 0

3 years ago

Read 2 more answers

Which of the following is the estimated sum of fifty-five, sixty, and sixty-five using compatible numbers?

SVEN [57.7K]

C. 190

Round each number

55→60.

60→60

65→70

Then add all of your rounded numbers.

60+60+70=190

3 0

3 years ago

2. Which equation in standard form has a graph that passes through the point (-5,8) and has a

atroni [7]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - $\frac{1}{5}$ , thus

y = - $\frac{1}{5}$ x + c ← is the partial equation

To find c substitute (- 5, 8) into the partial equation

8 = 1 + c ⇒ c = 8 - 1 = 7

y = - $\frac{1}{5}$ x + 7 ← in slope- intercept form

Multiply through by 5

5y = - x + 35 ( add x to both sides )

x + 5y = 35 ← in standard form → a

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3 years ago

AA3 +2=AAA CC6+6=CBB ABC=?

Ahat [919]

AA3 + 2 = AAA;

3 + 2 = 5; - >> A = 5; AAA = 555. 

 CC6 + 6 = CBB; 
6 + 6 = 12; - >> B = 2; one goes to the left and C (1 +?) turns into B; and B already found = 2; 

C = B-1 = 2-1 = 1; - >>> C = 1; SVB = 122; 

 ABC =? - >> 521.

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3 years ago

FIND sin0 WHERE 0 IS THE ANGLE SHOWN. GIVE AN EXACT VALUE, NOT A DECIMAL APPROXIMATION. Branliest​

FIND sin0 WHERE 0 IS THE ANGLE SHOWN. GIVE AN EXACT VALUE, NOT A DECIMAL APPROXIMATION. Branliest