The answer is 6
Hope this helps
Answer:
18.6
Step-by-step explanation:
We are given that
We have to find the value of k.
Divide by 32 on both sides then we get
Taking ln on both sides then we get
Hence, the value of k=18.6
Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
Step-by-step explanation:
length = (2x + 3) units
width = (x - 7) units
Area = 2( length × width)
Area = 2( (2x + 3) × (x - 7) )
Area = 2( 2x² - 14x + 3x - 21)
Area = 2 ( 2x² -11x - 21)
Area = 4x² - 22x - 42
Answer:
24+6pi
Step-by-step explanation:
the sides on the left and right added up are
12+12=24.
the formula for perimeter of a circle is 2πr.
3 is the radius, making the equation
2π3 which is 6 pi.
for the top semicircle, the perimeter would be 6 pi divided by 2 because its a semicircle.
the bottom cut out half would also be 3 pi.
in total, we would have 24+3pi+3pi which would lead you to 24+6pi.
