Answer:
-1 17/25
Solution with Steps
−65−1225=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-6/5, 12/25) = 25
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−65×55)−(1225×11)=?
Complete the multiplication and the equation becomes
−3025−1225=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
−30−1225=−4225
This fraction cannot be reduced.
The fraction
−4225
is the same as
−42÷25
Convert to a mixed number using
long division for -42 ÷ 25 = -1R17, so
−4225=−11725
Therefore:
−65−1225=−11725
It is 141.4 centimetres. This is because the circumference is obtained by multiplying pi with the diameter.
Answer:
Ramon would need 27 bags
Step-by-step explanation:
This is because if you divide 6.75 by 0.25 you would get 27
Answer:
125π√3/3 cm³ ≈ 226.72 cm³
Step-by-step explanation:
The length of the circular edge of the half-circle is ...
(1/2)C = (1/2)(2πr) = πr = 10π . . . . cm
This is the circumference of the circular edge of the cone, so the radius of the cone is found from ...
C = 2πr
10π = 2πr . . . . fill in the numbers; next, solve for r
r = 5 . . . . cm
The slant height of the cone is the original radius, 10 cm, so the height of the cone from base to apex is found from the Pythagorean theorem.
(10 cm)² = h² + r²
h = √((10 cm)² -(5 cm)²) = 5√3 cm
And the cone's volume is ...
V = 1/3·πr²h = (1/3)π(5 cm)²(5√3 cm)
V = 125π√3/3 cm³ ≈ 226.72 cm³
