Answer:
Let x and y be the two numbers. Then
yx=57 and x−y=20
Cross multiplying the proportion
5x=7y or y=75x
So, x−y=20
x−75x=20⇒77x−5x=72x=20
⇒x=2140=70
y=75x=75×70=50
So smaller number is 50.
Check :yx=5070=57 and 70−50=20
We know that
Right triangles PBM and MTF are similar
because
angle PMB=angle TMF
and
angle BPM=angle FTM
and
angle B =angle F=90 degrees
so
corresponding sides are
BM and MF
PB and TF
PM and MT
(PB/TF)=BM/MF
solve for PB
PB=(TF*BM)/MF
where
TF=6ft
BM=20 ft
MF=3 ft
so
PB=(6*20)/3------> 40 ft
the answer is
<span>the height of the peak is 40 ft</span>
Answer:
0.350
Step-by-step explanation:
Confidence interval = point estimate ± margin of error
Point estimate = Confidence interval - margin of error
To get the margin of error, we will take the average of the difference of the interval given. Given the confidence interval 0.325<p<0.375
Margin of error = 0.375-0.325/2
Margin of error = 0.050/2
Margin of error = 0.025
Using the interval of 0.375
Point estimate = 0.375 - 0.025
Point estimate = 0.350
Answer:
Option A: 2338.3 cm² is the correct answer.
Step-by-step explanation:
Given that:
The given figure is a regular hexagon.
Length of side = 30 cm
Area of a hexagon is given by;
Area = 
Putting a=30 in the formula
Area = 
Area = 
Area = 
Area = 2338.26 cm²
Rounding off to one decimal place,
Area = 2338.3 cm²
Hence,
Option A: 2338.3 cm² is the correct answer.
