Answer:
a. 58
b. 35
Step-by-step explanation:
a. Given,
sinθ = cos 32
We know that cos x = sin (90 - x)
⇒ sin θ = sin (90 - 32)
⇒ sin θ = sin 58
⇒ θ = 58
Thus, the value of θ would be 58.
b. Given,
cosθ = sin(θ+20),
sin (90 - θ) = sin (θ + 20)
⇒ 90 - θ = θ + 20
⇒ 90 - 20 = θ + θ
⇒ 70 = 2θ
⇒ θ = 35
Thus, the value of θ would be 35.
The decrease is (95-68) = 27 .
As a fraction, the decrease is 27/95 of the original amount.
To change any fraction to a decimal, do the division:
(27) divided by (95) = 0.2842...
To change any decimal to a percentage, move the
decimal point two places that ==> way:
0.2842... = 28.42... %Answer:
Step-by-step explanation:
Option D:
Segment DF
Solution:
Let us first define the relationship between the side and angle in triangle.
<u>Relationship between the side and angle in triangle:</u>
- The shortest side is always opposite to the smallest interior angle.
- The largest side is always opposite to the largest interior angle.
To find the largest side in ΔDEF:
Largest angle in ΔDEF is ∠E = 73°
So, the side opposite to 73° is DF.
Therefore, Option D is the correct answer.
Hence the segment DF is the longest side in the ΔDEF.
Answer:
x=28
Step-by-step explanation:
6(x+2)=180 Step 1: Write equation
6x+12=180 step 2: Expand the equation
6x=168 Step 3: Do 180-12 first
x=28 Step 4: Divide by 6 answer you got in Step 3
Step 5: replace 28 with x to see if it's correct 6(28+2)= 180
Put comment if answer is wrong and i will change my answer soon as possible
I hope this helps
