Answer:
<u>a = 60° or π/3</u>
Step-by-step explanation:
<u>Given :-</u>
sin² a/2 - sin a/2 + 1/4
<u>To find :-</u>
a
<u>Solving :-</u>
sin² a/2 - sin a/2 + 1/4 = (sin a/2 - 1/2)² = 0
sin a/2 - 1/2 = 0
sin a/2 = 1/2
a/2 = 30°
<u>Solution :-</u>
<u>a = 60° or π/3</u>
Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation
Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
378 because 49*3 and then add 35
Step-by-step explanation:
700.50√315=2.65
2.65×1.50=
38.94 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down
38.94
The number is 4, so we round down. 38.94 becomes 38.9
65.45 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down.
65.43
The number is 3, so we round down. 65.43 becomes 65.4
38.9+65.4= 104.3
If you were to estimate 38.94+65.43, we round the number to numbers that we can easily calculate in our head. 38.94+65.43 becomes 40+65
40+65=105
