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°
Answer: 5
Step-by-step explanation:
2w + 2L = perimeter
2w + 2(4) = 18
2w + 8 = 18
2w = 10
w = 5
Answer:
A 6 cm²
Step-by-step explanation:
The formula for the Surface Area of a Rectangle Prism and Square Prism [Cube] is below:
S.A = 2hw + 2bw + 2hb
Since 1 is the length of all edges, and also because all edges are congruent on a cube, you plug in 1 for the <em>height</em>, <em>width</em><em>,</em><em> </em>and<em> </em><em>base</em>:
6 = 2[1][1] + 2[1][1] + 2[1][1]
2 2 2
Or, you can just simply plug in 1 into the formula the exercise gave you and be done with it.
I am joyous to assist you anytime.
The point-slope equation of a line that cointains the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so
point (-2,3) and slope -4
y-3=-4(x-(-2))
y-3=-4(x+2) is da equation
The answer is roughly 13.
