Answer: El lado mayor del rectángulo mide 10cm
Step-by-step explanation:
El perímetro de un rectángulo está dado por:
P = 2*L + 2*A
Donde L es la longitud y A es el ancho.
Como sabemos que un lado es 6cm más largo que el otro, podemos expresar esto como:
L = A + 6cm.
Por lo tanto, P = 28cm = 2*L + 2*A
Sustituyendo la primera ecuación en la segunda tenemos:
28cm = 2*(A + 6cm) + 2*A
28cm = 12cm + 4*A
28cm - 12cm = 4*A
16cm/4 = A
4cm = A.
Así que el ancho es 4 cm y la longitud se calcula como L = 4cm + 6cm = 10cm
Given that,
Julia completes a 20-mile bike ride in 1.2 hours.
The distance Julia covers is 20 miles and her time taken is 1.2 hours.
Therefore, Julia's speed =
= 16.67 mph
Katie finishes the same 20-mile ride in 1.6 hours.
Katie’s distance is 20 miles and her time is 1.6 hours.
Hence, Katie's speed =
= 12.5 mph
To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.
Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.
Consequently, Julia cycles 4.2 mph faster than Katie.
Solution Procedure
Considering the spool as a cylindrical shape, and calculating the circumference based on the area cited, we establish the connection between circumference and area as follows:
... C = 2√(πA)
To find ten times this circumference, we calculate:
... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm
Derivation of Formulas
The standard formulas for circumference and area are:
... C = 2πr
... A = πr²
Multiplying the area formula by π and extracting the square root yields:
... πA = (πr)²
... √(πA) = πr
Doubling this value results in the circumference formula:
... C = 2√(πA) = 2πr
Answer:
1458/3456 reduces to 27/64 (after simplification)
The cube root of 27/64 equals 3/4
The square of 3/4 calculates to 9/16
Multiplying 9/16 by 1024 results in 576.
THIS IS THE ACTUAL WORK AND RESULT
Please make me brainliest
The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190
Conclusion: the first term is 190