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2 years ago

Two angles of a triangle measure 45 degrees and 90 degrees. What is the third angle measure?

Mathematics

1 answer:

neonofarm [45]2 years ago

6 0

Answer:

Step-by-step explanation:

Angles in a triangle add up to 180

Take 45 + 90 then subtract the answer from 180

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Dmitry [639]

Y= x2+2 is the correct answer

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2 years ago

What is the base of the exponent in the function when the function is written using only rational numbers and is in simplest for

tekilochka [14]

The general formula for an exponential function is
$f(x)=b^x$

In this case, b is the base which is any real number greater than 0 and is not 1. Additionally, the domain of an exponential function is all real numbers due to the fact that the exponential function is defined by real numbers. While the range is all real numbers greater than zero.

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2 years ago

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Which of the following is a solution to sin(x/2) = radical 3/2

Vinvika [58]

Answer:

sin ( x/ 2 ) = - √ 3 /2

Take the inverse sine of both sides of the equation to extract x

from inside the sine.

x/ 2 = arcsin ( − √ 3/ 2 )

The exact value of arcsin ( − √ 3 /2 ) is − π /3 .

/x 2 = − π /3

Multiply both sides of the equation by 2 .

2 ⋅ x /2 = 2 ⋅ ( − π /3 )

Simplify both sides of the equation.

x = − 2 π /3

The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2 π , to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.

x /2 = 2 π + π/ 3 + π

Simplify the expression to find the second solution.

x = 2 π /3

4 π

Add 4 π to every negative angle to get positive angles.

x = 10 π /3

The period of the sin ( x /2 ) function is 4 π so values will repeat every 4 π radians in both directions.

x =2 π /3 + 4 π n , 10 π/ 3 + 4 π n , for any integer n

Exclude the solutions that do not make sin ( x /2 ) = − √ 3/ 2 true.

x = 10 π /3 + 4 π n , for any integer n

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3 years ago

Jerome bought 8 packs of baseball cards at a garage sale each pack had 10 cards he gave his younger sister 3 cards from each pac

a_sh-v [17]

So, Jerome bought a total of 80 cards (8x10) out of which he gave out 30 cards (3x10) so he has 50 cards left. (80-30)

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3 years ago

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Calculus AB Assignment: Writing Symmetrical Functions 4. The domain of f(x) is [O, ..) and 1 2 3 4 f(x) { } 1o in Х 1 2 1 5 1 17

AveGali [126]

Answer:

Step-by-step explanation:

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2 years ago