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aliina [53]
3 years ago
14

Can someone solve this, you don’t have to type an explanation, thank you.

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

107

Step-by-step explanation:

the angle left of the 57 is 180-57 = 123

Sum of angles in quadilateral is 360, so

x = 360 - 60 - 70 - 123 = 107

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Vladimir [108]

Answer:

1.

C. 6561 is the answer that the table represents

6 0
3 years ago
Read 2 more answers
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
Bogdan [553]

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

7 0
3 years ago
The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20
Fofino [41]

Step-by-step explanation:

just think it through :

0.4x + 20 < 200

0.4x < 180

x < 180/0.4 = 450

so, x < 450

they must order less than 450 bars.

therefore, the first answer option is correct :

they can order from 0 to 449 bars, but no more.

6 0
3 years ago
Seven more than the product of a number and three is equal to four
vovangra [49]

Answer:

The Product is negative three (-3)

WHILE

The number is negative one (-1)

Step-by-step explanation:

Since seven more than the product gives 4.

This means 7 + product = 4

By subtracting 7 from both sides we get product as -3.

And since the product of the number and 3 is equal the product

This means number X 3 = -3

By dividing three from both sides you get -1.

6 0
3 years ago
How do you solve cos(pi/24) using Half-Angle formulas, and leaving in simplified form?
adoni [48]
\cos \frac{\theta}{2}=\sqrt{\frac{1+\cos \theta}{2}}&#10;\\&#10;\\ \cos{\frac{\pi}{24}}=\cos{\frac{\frac{\pi}{12}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{12}}{2}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2}  } &#10;\\&#10;\\ \cos{\frac{\pi}{12}}=\cos{\frac{\frac{\pi}{6}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{6}}{2}}= \sqrt{ \frac{1}{2}+ \frac{ \frac{ \sqrt{3} }{2} }{2}  } =\sqrt{ \frac{2}{4}+  \frac{ \sqrt{3} }{4}   } = \sqrt{\frac{ 2+\sqrt{3} }{4} } = &#10;\\&#10;\\ =\frac{ \sqrt{2+\sqrt{3}} }{2} &#10;

\cos{\frac{\pi}{24}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2}  } = \sqrt{ \frac{1}{2}+ \frac{\frac{ \sqrt{2+\sqrt{3}} }{2}}{2}  } = \sqrt{ \frac{2}{4}+ \frac{ \sqrt{2+\sqrt{3}} }{4}}  } =\sqrt{ \frac{ 2+\sqrt{2+\sqrt{3}} }{4}}  } &#10;\\&#10;\\\cos{\frac{\pi}{24}}=\frac{\sqrt{2+\sqrt{2+\sqrt{3}}}} {2}


6 0
3 years ago
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