Answer:
? = 4.28
Step-by-step explanation:
We know that tan theta = opp side / adjacent side
tan 35 = 3 / ?
Multiply each side by ?
? tan 35 = 3
Divide each side by tan 35
? = 3/tan 35
?= 4.28444402
To the nearest hundredth
? = 4.28
Answer:
The interior angles are 70°,65°,80°,155° and 170°
Step-by-step explanation:
step 1
Find the sum of the interior angles of the pentagon
The sum is equal to
S=(n-2)*180°
where
n is the number of sides of polygon
n=5 (pentagon)
substitute
S=(5-2)*180°=540°
step 2
Find the value of x
Sum the given angles and equate to 540
x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°
7x+50=540°
7x=490°
x=70°
step 3
Find all the angles
x=70°
(x-5)=(70-5)=65°
(x+10)=(70+10)=80°
(2x+15)=(2*70+15)=155°
(2x+30)=(2*70+30)=170°
15. If a+b=6 and ab=9 that means a and b must each equal 3. Then plug it into the equation and solve. (3)3+(3)2 = 15
Pi r^2 = area of a circle so therefore answer is 12.6cm^2
Answer:
x = 1
Step-by-step explanation: