Answer:
8 sq.units
Step-by-step explanation:
x= base of triangle= 8units
h= height of triangle= 2 units
area of triangle= 1/2*b*h
=1/2* 8* 2
=8 sq.units
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Answer:
400cm^2
Step-by-step explanation
equation: a+b/2 x h
19+25/2 x 20
44/2 x 20
22 x 20
440 (don't forget unit) and to square because we are finding the area
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
For this case, the first thing we are going to do is rewrite the equation correctly.
We have then:
T = 50 + (N-40) / 4
We substitute the value of N = 98, we have then:
T = 50 + (98-40) / 4
T = 64.5 degrees Fahrenheit.
Answer:
the temperature in degrees Fahrenheit, T is:
T = 64.5 degrees Fahrenheit.