First of all in order for us to figure out what angle x is we need to find the formula for finding that specific type of angle.
Formula is...
x = (far arc - close arc) ÷ 2
Now we just need to plug in.
x = (172° - 52°) ÷ 2 =
x = 120° ÷ 2 = 60°
Your answer: x = 60°
Good Luck! :)
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Answer:
-1/root2
Step-by-step explanation:
7pi/4 radians is the same as -pi/4 radians
sin(-pi/4) is -sin(pi/4) = -1/root2
Answer:
B. 70
Step-by-step explanation:
<h3><u>look at the smaller triangle</u></h3>
its dimensions are :
45 , 35 , 24
<h3><u>look at the bigger triangle ( this includes the dimensions of the smaller one)</u></h3>
its dimensions are :
45 + 45 , x , 24 + 24
= 90 , x , 48
from the dimensions given we can notice that :
<em>bigger triangle dimensions are = 2 * smaller triangle dimensions</em>
<em></em>
therefore to find the value of x :
x = 35 * 2
<h3><u>x = 70</u></h3>
<u />
<h3><u>hence the answer is B ) 70 </u></h3>
To solve the problem we must know about Sine Rule.
<h3>What is
Sine rule?</h3>
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

where
- Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
- Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
- Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
The value of w is 4.0 cm.
Given to us
- VW = 3.3 cm,
- ∠U = 31°,
- ∠W = 39°,
<h3>Using the sine law,</h3>

Substitute the values,



w = 4.03224 cm ≈ 4.0 cm
Hence, the value of w is 4.0 cm.
Learn more about Sine Rule:
brainly.com/question/17289163
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get
. Similarly, we get the improper fraction
for converting the mixed fraction
.
Step 2; After conversion, it's just a matter of division. The fraction
equals 4.25 while the denominator
equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.