Please help I’m stuck I would really appreciate it if you could help me in geometry <3

Sonja [21]

Hi! We’re going to use the pythagorean theorem to answer this.

3 + x^2 = 8
subtract 3 from 8
x^2=5
take the square root of both sides
x=sqrt5

8 0

3 years ago

What are the values of M and theta in the diagram below

Montano1993 [528]

Answer:

The correct answer is m= $\frac{\sqrt{3} }{2}$ and θ = 30º.

Step-by-step explanation:

First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is $\frac{1}{2}$ and the angle is theta.

First, we calculate the angle with theta's breast:

sin (θ) = $\frac{\frac{1}{2} }{H}$

where H is the hypotenuse, in this case, the radio.

θ = $sin^{-1}$ ( $\frac{\frac{1}{2} }{1}$ )

θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

cos (θ) = $\frac{m}{H}$

m = cos 30º * H

m = $\frac{\frac{\sqrt{3} }{2} }{1}$

m = $\frac{\sqrt{3} }{2}$

Have a nice day!

3 0

3 years ago

Read 2 more answers

A news report says that 28% of high school students pack their lunch.

nata0808 [166]

Answer:

423

Step-by-step explanation:

4 0

4 years ago

Which of the following expression is equivalent to 35+14

Korvikt [17]

Answer:

49

Step-by-step explanation:

I would add the tens place and ones place together. The tens place; is 30+10 (From the 3 and 1 in the tens place) and 5+4, which is 40+9, which is 49.

5 0

3 years ago

A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. I

Irina18 [472]

Answer:

31.35%

Step-by-step explanation:

<h3>Initial reading:</h3>

In the box, there are:

6 Black pens
4 blue pens
7 red pens

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

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<h3>New reading:</h3>

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

Number of black pens = 6 - 1 = 5 
Total number of pens = 17 - 1 = 16

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<h3>Probability:</h3>

$\boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}$

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

the number of favorable outcomes = number of black pens

= 5

and total outcomes = Total number of pens

= 16

$\implies\mathsf{probability = \frac{5}{16} }$

For showing it as some percent we'll just multiply the fraction by 100

$\implies \mathsf{ \frac{5}{16} \times 100 }$

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<h3>As a percent:</h3>

$\implies \mathsf{ \underline{ 31.25 \: \% } }$

4 0

3 years ago