Answer: First option: 800 feet
Solution:
Height: h=400 sqrt(3)
Distance between the zoo and the point in the ground below the helicopter: d1=?
Distance between the library and the point in the ground below the helicopter: d2=?
Distance between the zoo and the library: d=?
d=d2-d1
tan 60°= h/d1
sqrt(3)=400 sqrt(3) / d1
Solving for d1:
sqrt(3) d1 = 400 sqrt(3)
d1= 400 sqrt(3) / sqrt(3)
d1=400
tan 30°= h/d2
sqrt(3) / 3=400 sqrt(3) / d2
Solving for d2: Cross multiplication:
sqrt(3) d2 = 3 [ 400 sqrt(3) ]
sqrt(3) d2 = 1,200 sqrt(3)
d2= 1,200 sqrt(3) / sqrt(3)
d2=1,200
d=d2-d1
d=1,200 feet - 400 feet
d=800 feet
4. Answer: 1/32 ^7
5. Answer: (3 ^2)^6
6. Answer:c
Tania multiplied the exponents in the parentheses 4 and 4 then multiplied 16 to -3= -48 then multiplied the number 3 and 5=15
Answer:y=4x+2
Step-by-step explanation:m= rise and b=run rise /run when u look at the graph start at the pount to a count how many u rise to get to 2 then cout how many u run to get to 2 again so that would be y=4x+2.
For this case we can make the following rule of three:
75 -----------------> 100%
58 -----------------> x
From here, we clear the value of x.
We have then:
Rounding to the nearest hundredth we have:
%
Answer:
58 is 77.33% of 75
