Answer: x - 5
Step-by-step explanation:
Since, the area of the rectangle =
Length of the rectangle = x+5
Let the width of the rectangle = b
Thus, the area of the rectangle =
⇒
⇒
⇒
Therefore, the expression that shows the width of the rectangle = x-5
Answer:
3 ...
Step-by-step explanation:
Answer:
65.4% to 74.6%
Step-by-step explanation:
68% is approximately plus minus 1 standard deviations.
sigma=sqrt(n*p*(1-p))=sqrt(100*.7*.3)=4.58
so we're looking at 70+4.6 and 70-4.6.
Answer:
AC = 13.9 cm.
Step-by-step explanation:
See the attached diagram.
Draw a perpendicular on AD from B which is BE.
Now, CD = BE
Now, Δ ABE is a right triangle and
AB² = BE² + AE² {Applying Pythagoras Theorem}
⇒ 11² = BE² + (AD - DE)²
⇒ 11² = BE² + (11 - 4)² {Since CB = DE = 4 cm}
⇒ 11² = BE² + 7²
⇒ BE² = 11² - 7² = 72
⇒ CD² = 72
Now, Δ ACD is a right triangle and
AC² = CD² + DA² {Applying Pythagoras Theorem}
⇒ AC² = 72 + 11² = 193
⇒ AC = 13.89 ≈ 13.9 cm