Answer:
3x - 4 is the expression that will represent her father's age
For the last one
a. Is corresponding angles
B. Alternated exterior angles
D. Alternated interior angles
C. Consecutive anlgles
Sorry I can only help with this right now
Answer:
<h2><u><em>
54°</em></u></h2>
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°,
so 5x+3x+2x=180°
5x+3x+2x=180°
10x = 180°
x = 18°
find angle L
3 * 18 = 54°
Answer:
a) V = (8 -4/3π)r³
b) 2048(2 -π/3) cm³ ≈ 1951.34 cm³
Step-by-step explanation:
When a sphere is placed in a box the empty space volume is the difference between the box volume and the sphere volume. Here, the box is a cube with the same outside dimensions as the sphere.
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<h3>a. (formula)</h3>
The side length of the cube is 2r, where r is the radius of the sphere. So, the volume of the cube is ...
V = s³ = (2r)³ = 8r³
The volume of the sphere is given by the formula ...
V = 4/3πr³
The volume of the empty space is the difference of these:
V = (8r³) -(4/3πr³)
V = (8 -4/3π)r³ . . . . . . . formula for the empty volume
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<h3>b. (empty space)</h3>
For r=8 cm, the empty volume is ...
V = (8 -4/3π)(8 cm)³ = 4(2 -π/3)(512 cm³)
V = 2048(2 -π/3) cm³ ≈ 1951.34 cm³ . . . . empty volume
Answer:
y=-115
Step-by-step explanation:
y/5+4=-19
y/5=-23
y=-115