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Aleksandr [31]
2 years ago
10

Question 10 of 10

Mathematics
2 answers:
Sever21 [200]2 years ago
7 0

Answer:

\sqrt{3} - D

Step-by-step explanation:

tan = \frac{O}{A}

In the picture, the hypotenuse is 2

The opposite is \sqrt{3} because it is not forming touching 60° angle.

That then leaves the adjacent to be 1, therefore

tan 60 = \frac{\sqrt{3}}{1}  = \sqrt{3}

Otrada [13]2 years ago
4 0

Answer:

√3

Step-by-step explanation:

You might be interested in
A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the
jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76  cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0
4 years ago
Yo does anyone know how to do this?
Sonbull [250]

Answer:

The horizontal line is the x-axis and the vertical line is the y-axis.

Step-by-step explanation:

The horizontal line is the x-axis and the vertical line is the y-axis. It's a fact. You can graph the lines by inserting the equations using the graphing calculator, which is the tab next to the one you have right now ;)

3 0
3 years ago
Find the midpoint of the line segment with end coordinates of: ( 4 , − 2 ) and ( 2 , − 10
Olegator [25]

The given line segment's midpoint is  (3,-6)

Step-by-step explanation:

Step 1 :

Let A be the point (4,-2) and B be the point (2,-10)

We need to obtain the midpoint of AB

Let M (x,y) be the Midpoint.

Step 2 :

The x co-ordinate of a line segment's midpoint obtained by adding the x co-ordinate of its end point and dividing by 2.  

The y co-ordinate of a line segment's midpoint obtained by adding the y co-ordinate of its end point and dividing by 2.

So we have x = (4 + 2) ÷ 2 = 3

y = (-2 - 10) ÷ 2 = -6

Hence M = (3,-6)

Step 3 :

Answer :

The given line segment's midpoint is  (3,-6)

3 0
4 years ago
Can you please help me
Ket [755]

Answer:

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4} ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means \frac{L_{1} }{L_{2}} = \frac{W_{1} }{W_{2}} , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L_{1} = 14 and W_{1} = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L_{2} = 10.5 and W_{2} = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

    corresponding dimensions in the two rectangles (image/pre-image)

∵ \frac{L_{2} }{L_{1}} = \frac{10.5}{14} = \frac{3}{4}

∵ \frac{W_{2} }{W_{1}} = \frac{4.5}{6} = \frac{3}{4}

∴ The scale factor for the dilation is  \frac{3}{4}

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4}

6 0
3 years ago
Helpppppppppppppppp!!!!!!!!222
weqwewe [10]
I could be wrong, but the second option looks correct. 
4 0
3 years ago
Read 2 more answers
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