Answer:
The side length of the square will be 11 cm.
Step-by-step explanation:
Tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle.
Her dog's neck has a circumference of about 32 cm. the folded bandana needs to be an extra 16 cm long so Tessa can tie it around her dog's neck.
So, the hypotenuse of the 45-45-90 triangle has a length of (32 - 16) = 16 cm.
As a 45-45-90 triangle is an isosceles right triangle with side length a cm (say), then
⇒ 2a² = 16² = 256
⇒ a² = 128
⇒ a = 8√2 cm.
Therefore, the side length of the square will be 8√2 cm ≈ 11 cm. (Answer)
Answer
After 13.15 years the population of both towns will become equal.
Step-by-step explanation:
Population of the city Anville is given by using the compound interest formula
The formula of compound interest
A = p( 1+r/n)^n*t
using this we get
P1 = 16000 (1 +
) ^1*t
Population of the city of Brinker will be
P2 = 11000( 1 + 
) ^1*t
now to make equal population in both towns
P1=P2
16000 (1 +) ^1*t = 11000( 1 + ) ^1*t
t = 13.15 years
Answer: 
Step-by-step explanation:
Given : Sample space : n= 559
Sample proportion : 
Significance level : 
Critical value : 
Confidence level for population proportion:-
Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.=
Answer:
30°
Step-by-step explanation:
A full circle has 360°.
1/12 of a circle has 1/12 of 360°.
1/12 * 360° = 360°/12 = 30°
Answer: 30°
R-7=7 add the seven from both sides, leaving the r alone, because this is what you are trying to find. Thus the answer is r=14.
