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inn [45]
3 years ago
13

Use the circle unit to find sin 90 degrees

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

Sin 90°=1

Step-by-step explanation:

A unit circle is a circle with a radius of 1 .Because the radius is 1, it is possible to directly measure the sine, cosine and tangent.

<em>using the unit circle where 90° is the limit as the hypotenuse approaches the vertical y-axis which is positive.</em>

Sine=opposite/hypotenuse

Sin=O/H

<u>Applying the limits</u>

Sine 90°=1/1= 1

cos 90° =0/1 =0

or

When the angle formed at the origin of the unit circle in the 1st quadrant is 0°, cos 0°=1 sin0°=0  and tan 0°=0

When we increase the angle until it is 90°, cos 90°=0, sin 90°=1 and tan 90°=undefined

 

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Solve the equation. –x 8 3x = x – 6 x = –18 x = –14 x = 2 x = 4
LenKa [72]

The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.

<h3>How to find variable in an equation?</h3>

The variables of an equation can be found as follows:

–x + 8 + 3x = x – 6

The variable in the equation is x.

Therefore,

–x + 8 + 3x = x – 6

combine like terms on the left side

-x + 3x + 8 = x - 6

2x + 8 = x - 6

subtract x form both sides of the equation

2x - x + 8 = - 6

x + 8 = -6

subtract 8 from both sides

x = -6 - 8

x = - 14

learn more on equation here: brainly.com/question/1347990

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3 0
2 years ago
Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

4 0
3 years ago
Help with #9 linked above! Please help!
jasenka [17]

y = A(Bx - C)ⁿ + D

A is a vertical stretch (or shrink if |A| < 1)

B is a vertical shrink (or stretch if |B| < 1)

C is a shift to the right (or left if C is negative) → notice that Bx - C is "-C" so to take the opposite

D is a shift up (or down if D is negative)

when C = -3, it is a shift to the left 3 units

when D = -7, it is a shift down 7 units

Answer: B

6 0
3 years ago
A toy car travels 10 meters in 5 seconds . what's it's speed?
telo118 [61]
Its speed in what, like miles or what?
7 0
3 years ago
PLEASE HELP!!!
Nuetrik [128]

Answer:

V=250.3cm³

Step-by-step explanation:

V=1/3 × π x 5.4² cm x 8.2cm

V= 1/3 x π x 5.4² cm x 8.2cm

V= 1/3 x π x 29.16 cm x 8.2cm

V=250.39cm³

V=250.3cm³

3 0
2 years ago
Read 2 more answers
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