Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
Thus, the house is 18.75 feet tall.
Answer:
The probability that a household has at least one of these appliances is 0.95
Step-by-step explanation:
Percentage of households having radios P(R) = 75% = 0.75
Percentage of households having electric irons P(I) = 65% = 0.65
Percentage of households having electric toasters P(T) = 55% = 0.55
Percentage of household having iron and radio P(I∩R) = 50% = 0.5
Percentage of household having radios and toasters P(R∩T) = 40% = 0.40
Percentage of household having iron and toasters P(I∩T) = 30% = 0.30
Percentage of household having all three P(I∩R∩T) = 20% = 0.20
Probability of households having at least one of the appliance can be calculated using the rule:
P(at least one of the three) = P(R) +P(I) + P(T) - P(I∩R) - P(R∩T) - P(I∩T) + P(I∩R∩T)
P(at least one of the three)=0.75 + 0.65 + 0.55 - 0.50 - 0.40 - 0.30 + 0.20 P(at least one of the three) = 0.95
The probability that a household has at least one of these appliances is 0.95
Answer:
17500
Step-by-step explanation:
you just multiply it by 35 if it is pennies but you have to tell me if it is dimes or whatever
Answer:
9) 844cm^2 10) 15,000in^3 11) 240cm^3 12) 480in^3
Step-by-step explanation:
9) A= 200 A=160 A=192 A=192 A=100
200+160= 360+192= 552+192= 744+100=844cm^2
for #9 i divided the figure into 5 parts and got the area of each one and added all of the totally areas to get the final answer
10) A= 20*30= 600*25= 15,000in^3
11) A= 2*5= 10*4= 40cm^2 (cheese) A= 40*6= 240cm^3
12) 12*10= 120*4= 480in^3
Answer:
Step-by-step explanation:
b^2 - 4ac > 0
(-8)^2 - 4(1)(-2) = 64 + 8 = 72
two solutions
