Answer:
Step-by-step explanation:
4 quarts=1 gallon
1 quart=1/4 gallon
6 quarts 1/4×6=6/4 gallons=3/2 gallons =1 1/2 gallons
or we can say 4 quarts=1 gallon
2 quarts=1/2 gallon
(4+2=6)quarts=(1+1/2)=1 1/2 gallon.
Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer:
About 3 times faster
Step-by-step explanation:
Cheetah's speed = 110 km / hr
World 100m sprint record :
Speed of sprinter :
Distance / time
100 m / 9.58s
= 10.438413 m/s
Convert Cheetah's speed to m/s
110 km/hr = (110 * 1000)m / (60 * 60 s)
= 110000 m / 3600 s
= 30.55555 m/s
Number of times cheetah is faster than sprinter :
30.55555 m/s ÷ 10.438413 m/s
= 2.927 times
Step 1: Find the area of the bases (triangles)
A = 1/2 * base * height
A = 1/2 * 16 * 6
A = 48
48 + 48 = 96
Area of the triangles = 96 cm^2
Step 2: Find the area of the sides (rectangles)
A = base * height
A1 = 16 * 12
A1 = 192
A2 = 10 * 12
A2 = 120
120 + 120 = 240
240 + 192 = 432 cm^2
Step 2: Add the areas together
96 + 432
528 cm^2
Hope this helps!! :)
