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Svetllana [295]
3 years ago
15

What is the value of sin 0 given that (-3,7) is a point on the terminal side 0

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

\frac{7\sqrt{58}}{58}

Step-by-step explanation:

\\\text{Given that a point on the terminal side of }\theta \text{ is }(-3,7)\\\\\text{so the terminal side is in Quadrant II}\\\\\text{In the right triangle OMN, using Pythagorean theorem, we get}\\\\\text{ON}=\sqrt{(MN)^2+(OM)^2}\\\\\Rightarrow ON=\sqrt{(7)^2+(-3)^2}\\\\\Rightarrow ON=\sqrt{49+9}\\\\\Rightarrow ON=\sqrt{58}\\

\\\text{we know that in Quadrant II, sine and cosecant are positive.}\\\text{so using the trigonometric ratios, we get}\\\\\sin \theta=\frac{\text{Opposite }}{\text{Hypotenus}}\\\\\Rightarrow \sin \theta=\frac{7}{\sqrt{58}}\\\\\Rightarrow \sin \theta=\frac{7\sqrt{58}}{58}\\

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Basher collected 4 1/3 basket of peaches and Orchard if each basket holds 21
miv72 [106K]
To do this you times 3 by 4 and add it on to the numerator of the fraction, to turn it into a top heavy fraction:
3*4 = 12
1+12/3 = 13/3

Then you multiply the numerator by 21 to work out what 21 times the fraction is:
13*21/3 = 273/3

Then you can divide 273 by 3 to get the final answer:
273/3 = 91

He will have 91 peaches overall.
Hope this helps! :)
6 0
3 years ago
Coz and Amelia each make a tile design with 24 tiles. Coz puts his in rows of 2.Amelia puts hers in rows of 3.How many more tile
Ivahew [28]

Answer:

4 tiles

Step-by-step explanation:

Divide 24 by 2 (Coz): 12 tiles

Divide 24 by 3 (Amelia): 8 tiles

Subtract 8 from 12.

12 - 8 = 4

There are 4 more tiles in each of Coz's rows than Amelia's.

4 0
3 years ago
6 cm<br> 16 cm<br> What is the volume of the cylinder?
jenyasd209 [6]

V = 576 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi * (6)^2 * 16

V = pi *36*16

V = 576 pi cm^3

5 0
3 years ago
In the diagram, which two angles are corresponding angles with angle 12?
Rama09 [41]

Answer:

It's 8 the answer is 8

Step-by-step explanation:

6 0
3 years ago
I really need help with this i beg you !!
sweet-ann [11.9K]

Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is \sqrt{2} time the length of any of its legs. If the hypotenuse has a measure of 7\sqrt{2}, then the legs of the triangle have a measure of 7.

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

p = 4\cdot l (1)

Area

A = l^{2} (2)

Where l is the side length of the square.

If we know that l = 14, then the perimeter and area of the square are, respectively:

p = 4\cdot (14)

p = 56

A = 14^{2}

A = 196

The perimeter and area of the square are 56 units and 196 square units, respectively.

7 0
2 years ago
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