<span>A. 504 in2 B. 396 in2 C. 312 ... ... A. 155 in2 B. 270 in2 C. 300 in2 D. 310 in2 H=15 l=5 w=4 ... The formula for the rectangular prism surface area is 2(wl+hl+hw).</span><span>300 in2</span>
Answer:
4/5 or 53°
Step-by-step explanation:
soh
cah
toa
you want soh
sine=opposite/hyp
therefore sine of C is 4/5
to find the degrees you have to something a lil different.
sin^-1 (theta)= 4/5
sin^-1(4/5)=theta
53°=theta
Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
<h3>What is the Sine Ratio?</h3>
Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
Learn more about the sine ratio on:
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Answer:
<u>The area of the larger triangle is 315 inches²</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Pre-image triangle has a base of 7 inches and a height of 10 inches
Scale used : Factor of 3
2. What is the area of the larger triangle??
For calculating the area of the larger triangle, we use the scale this way:
Base = 7 inches * 3
21 inches
Height = 10 inches * 3
30 inches
Area of the larger triangle = 1/2 (Base * Height)
Area of the larger triangle = 1/2 (21 * 30)
<u>Area of the larger triangle = 630/2 = 315 inches²</u>
Since the lines are parallel they have the same slope 2/3. use point slope form to get,
y+2=2/3(x-1)
y+2=2/3x-2/3
y=2/3x-8/3
3y=2x-8
2x-3y=8
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