Question 1:
m + 4.6 = 7.1
Subtract 4.6 from both sides
M = 2.5
Question 2:
k - 3 7/10 = -5 3/5
turn the mixed fractions into improper fractions
k - 37/10 = -38/5
add -37/10 to both sides
k = -39/10
Answer:
The answer is x = 7
Step-by-step explanation:
√2x − 5 + 4 = x
= √2x − 5 + 4 + − 4 = x + −4 (add -4 to both sides)
=√2x − 5 = x − 4
=√2x−5=x−4
2x−5=(x−4)2 (Square both sides)
2x−5=x2−8x+16
2x−5−(x2−8x+16)=x2−8x+16−(x2−8x+16)(Subtract x^2-8x+16 from both sides)
−x2+10x−21=0
(−x+3)(x−7)=0 (Factor left side of equation)
−x+3=0 or x−7=0 (Set factors equal to 0)
x=3 or x=7
9514 1404 393
Answer:
m∠1 +m∠8 = 90°
Step-by-step explanation:
There is no necessary sum relation between angles 3 and 5 or angles 7 and 10. The only thing you can say about those angle pairs is ...
∠3 + 90° = ∠5
∠10 +90° = ∠7
Angles 8 and 9 are congruent, so don't have any necessary sum.
Angle 1 is congruent with angle 3, which is complementary to angle 8, so we must have ...
m∠1 +m∠8 = 90°
You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
Answer:
b
Step-by-step explanation: