Answer:
The third side is around 58.043
Step-by-step explanation:
Use the law of cosines:
Plug in the two sides we know (into a and b) and the angle we know (into angle C).
Thus:
Use a calculator:
(Note: Make sure you're in Degrees mode.)
Answer:
Angle 1 = Angle 2 = 5y -23 (Vertically opposite)
We can see that we have a triangle in the figure
Since the sum of all angles of a triangle is 180,
<em>(2x + 13) + (47) + (5y -23) = 180</em>
<em>2x + 5y + 37 = 180</em>
<em>2x + 5y = 143</em>
5y = 143 -2x -----------------(1)
Assuming l and m to be parallel
<em>angle 1 = 3x (corresponding angles)</em>
<em>5y - 23 = 3x </em>
<em>From equation (1)</em>
<em>143 -2x - 23 = 3x </em>
<em>120 = 5x </em>
x = 24 ---------------------- (2)
Using (2) in (1)
<em>5y = 143 - 2(24)</em>
<em>5y = 143 - 48</em>
<em>5y = 95</em>
y = 19
Therefore,
x = 24
y = 19
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When divided by 5, 3 subtracted from x divided by 2 equals to 6
Volume = Area * height
= width * length * height
= 8 * 4 * 7
= 224 cm^3
Answer:
5456 sq. inches
Step-by-step explanation:
Let width = w,
Then length = w + 26
Perimeter = 2[length + width]
2[(w +26) + w] = 2[2w + 26] = 4w + 52
Perimeter given is 300
So, 4w + 52 = 300
4w = 248
w = 248/4 =62
length = 62 + 26 = 88
Area = length × width
Area = 88 × 62 = 5456 sq. inches