Answer:
Step-by-step explanation:
The area of a rectangle can be found with the formula
, where
is the length of the rectangle and
is the width.
From the given problem statement, we know that
and
, so we can fill in those values in the formula anbd solve for
to get the width:


Divide both sides by
to isolate
by itself:


Answer:
48.1 m³ available, 2.5m³ not available
Step-by-step explanation:
Tan(X) = 4.5/(5.8+1.7)
Tan X = 3/5
Hypotenuse² = 3² + 5² = 34
Sin X = 3/sqrt(34)
X = 30.96
1/sinX = 1.7/SinY
Y = 61.003°
Third angle: 180 - X - Y = 88.037
Volume
= ½ × 1.7 × 1 × sin(88.038) × 3
= .
= 2.548
= 2.5m³
Available for storage:
½×4.5×7.5×3 - 2.548
= 48.077 = 48.1 m³
Answer:
9
Step-by-step explanation:
Use angle summation:
∠HGE + ∠EGF = ∠HGF
3x + 11 + 110 = 16x + 4
117 = 13x
x = 9
Answer:
A is correct because 1 and 3 are vertical angles.
B is correct because there are 180 degrees in a triangle. 180-65-55 = 60. Angle 2 is vertical to the third angle, so angle 2 equals 60.
C is incorrect because it is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 ≠ 60.
D is correct because 3 is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 = 120.
In review, A, B, and D are correct.
I hope this helps you =)