Pls and step by step

Mathematics

1 answer:

Arturiano [62]3 years ago

7 0

Answer:

Step-by-step explanation:

90+75=135

135-125

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To make 5 apple pies, you need about 2 pounds of apples. How many pounds of apples do you need to make 20 apple pies?

Lyrx [107]

About 8 pounds of apples is needed for 20 pies
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3 years ago

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Find sin 105 degrees by using 105 degrees = 60 degrees + 45 degrees

finlep [7]

This is the rule of sums of trig identities. It says that sin(a + b) = sina*cosb+sinb*cosa. Set up your right triangles. In a 30-60-90 triangle, the side across from the 60 angle is the square root of 3, the side across from the 30 is 1, and the hypotenuse is 2. In a 45-45-90 the sides across from the 45 degree angles are 1 and the hypotenuse is square root of 2. With that being said, the sin of 60 is $\frac{ \sqrt{3} }{2}$ and the cos of 60 is 1/2. Both the sin and cos of 45 is $\frac{1}{ \sqrt{2} }$ . So your formula is filled in like this: $( \frac{ \sqrt{3} }{2} * \frac{1}{ \sqrt{2} })+( \frac{1}{2} * \frac{1}{ \sqrt{2} })$ . When you do the multiplication on those sets of parenthesis, you get $\frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} }$ . When you add those your solution is $\frac{1+ \sqrt{3} }{2 \sqrt{2} }$ . Depending upon your instructor you may have to rationalize that denominator to get that radical out from under there, but if not, that's pretty much it!

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3 years ago

What is the answer to x^2=4

IrinaK [193]

Answer:

x = ± 2

Step-by-step explanation:

Given

x² = 4 ( take the square root of both sides )

x = ± $\sqrt{4}$ = ± 2