The parallel cross-sections of a cylinder, cone, sphere, and pyramid are a circle, a circle, a circle, and a square.
We are given some solids. Solid geometry, or stereometry, is the traditional name for the geometry of three-dimensional Euclidean spaces in mathematics. Stereometry is concerned with measuring the volumes of various solid figures. The given solids are a cylinder, cone, sphere, and pyramid. We need to find the parallel cross-sections of the given solids. Parallel cross sections are cross sections of a solid that are parallel to each other. A cross section is a straight slice of an object. The parallel cross-sections of a cylinder, cone, sphere, and pyramid are a circle, a circle, a circle, and a square.
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1X5/3 the whole numbers lie between 1 and 8
The sum of all interior angles in a triangle is 180°.
m∠q + m∠r + m∠s = 180°
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18
m∠q = (1x)° = 1 x 18 = 18°
m∠ r = (3x)° = 3 x 18 = 54°
m∠s = (6x)° = 6 x 18 = 108°
m∠s is the obtuse angle because its measure is more than 90°. Its angle measures 108°
Answer:
Answer: <u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>6</u><u>°</u><u> </u>
Step-by-step explanation:
• Let's first find Angle ACB
• From alternative angles, x = Angle BAC.
• Since AB = AC, then Angle ABC = Angle ACB
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
