You would begin by choosing which trigonometric function to use.
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =
(multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore
x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)
Answer:
x = y = 2√2
Step-by-step explanation:
Find the diagram attached
To get the unknown side x and y, we need to use the SOH CAH TOA identity
Opposite side = x
Adjacent = y
Hypotenuse = 4
Sin theta = opposite/hypotenuse
sin 45 = x/4
x = 4 sin 45
x = 4 * 1/√2
x = 4 * 1/√2 * √2/√2
x = 4 * √2/√4
x = 4 * √2/2
x = 2√2
Similarly;
cos theta = adjacent/hypotenuse
cos 45 = y/4
y = 4cos45
y = 4 * 1/√2
y = 4 * 1/√2 * √2/√2
y = 4 * √2/√4
y = 4 * √2/2
y = 2√2
Answer:
1332.04
Step-by-step explanation:
C=2πr=2·π·212≈1332.03529
Answer:
A, B, C
Step-by-step explanation:
Step 1: "AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D"
A. Given.
This is the information that was given in the problem statement.
Step 2: "ΔABC ≅ ΔDEF"
B. Side-Angle-Side Postulate (SAS)
The SAS postulate says that if two triangles have a pair of congruent angles between two pairs of congruent sides, then the triangles must be congruent. From the previous step, we can conclude the triangles are congruent.
Step 3: "∠C ≅ ∠F"
C. Corresponding parts of congruent triangles are congruent (CPCTC)
In Step 2, we established the triangles are congruent. So now we can conclude that the corresponding angles are congruent.
Answer:80
Assume the number to be 400 for instance,
10% of 400 increased = 400 + ( 10/100 × 400 )
= 400 + 40 = 440
The resulting number decreased by its 10% = 400 - (10/100 × 400)
= 400 - 40 = 360
Now, net decrease = 440 - 360 = 80
