Answer:
α = 62°
β = 56°
gamma = 90°
Step-by-step explanation:
ΔAOB is isosceles, so m∠A = m∠ABO = 28
28 + 28 + m∠AOB = 180
m∠AOB = 180 - 28 - 28 = 124
β = 180 - 124 = 56
arcAB = 124
ΔBOC is isosceles. α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62
∠D is inscribed in a semicircle
m∠D = gamma = 90°
Answer:
0.4 ounces
Step-by-step explanation:
In a day
Miguel is to feed Chester ,
Chester can eat 3/4 of an ounce for each pound of body weight.
Chester weighs 6.8 pounds
Hence:
1 pound = 3/4 ounce
6.8 pounds = x ounces
Cross Multiply
x = 6.8 × (3/4) ounces
x = 5.1 ounces
Chester is to be fed 5.1 ounces of food each day.
The amount of food left after 1 day
= 5.5 ounces - 5.1 ounces
= 0.4 ounces
Hence, 0.4 ounces of food is left after 1 day
N=32/3as a fraction alternative form is n=10.6
Answer:
B. (-2,-4)
Explanation
Given equations:
y = 3x + 2
y = -2x - 8
Solving both equations will yield the values of x and y;
Solution:
y = 3x + 2 ----- (i)
y = -2x - 8 ------ (ii)
Using substitution method, input equation i, into ii
3x + 2 = -2x - 8
Collect like terms and solve;
3x + 2x = -8 -2
5x = -10
x = -2
Then put x = -2 into i, to find y
y = (-2 x 3) + 2
y = -6 + 2 = -4
So, the solution of the equation is B. (-2,-4)
g(x) = x - 3 = 0
g(x) = x = 3
f(x) = 2x^3 + x - 4
f(3) = 2(3)^3 + 3 - 4
f(3) = 2(27) - 1
f(3) = 54 - 1
f(3) = 53
The remainder when f(x) is divided by x - 3 is <u>53</u>.