The picture in the attached figure
we know that
[volume of the liquid]=[area of the base]*height
height=[volume of the liquid]/area of the base
volume of the liquid=441 cm³
area of the base=L*W
L=5 1/4 cm-----> (5*4+1)/4----> 21/4 cm
W=6 cm
area of the base=(21/4)*6-----> 31.5 cm²
height=[441 cm³]/31.5 cm²-----> 14 cm
the answer isthe height of the liquid is 14 cm
Answer: 40
Step-by-step explanation:
5:50 —> divide by 5 so it becomes 1:10
: means to
Answer:
m∠BAC=45°
Step-by-step explanation:
Firs we graph the given points to see the shape of triangle.
We can clearly see that triangle BAC is a right angle triangle whose sides BA and BC both are equal to 4 units.
We know that equal sides of triangle corresponds to equal angles.
Hence
∠A = ∠C ...(i)
We know that sum of all three angles of a triangle is 180°. So we can write
∠A + ∠B + ∠C=180°
∠A + ∠B + ∠A=180° {from (i) }
∠A + 90° + ∠A=180° {∠B is right angle}
2∠A + 90° =180°
2∠A = 90°
divide both siide by 2
∠A = 45°
∠A and ∠BAC are same
Hence
m∠BAC=45°
Solve for x:
x/3 + 2/5 = -4
x/3 + 2/5 - 2/5 = -4 - 2/5
x/3 = -22/5
x/3 * 3 = -22/5 * 3
x = -66/5 or -13 1/5