Answer:
what
Step-by-step explanation:
whhhhhaaattt
9) It helps to draw a picture. Since one angle is 60°, the other angle is 120°. When you draw the ddiagonal lines, you will see that you end up with a 30°-60°-90° triangle where √3 is the hypotenuse. The longest diagonal will be across from the 60° angle, which will be length a√3. The length of the hypotenuse is 2a. (Remember: a, a√3, 2a are lengths for this special triangle)
2a = √3 → a = √3/2.
side across from 60° = a√3 = (√3/2)·√3 → side from across 60° = 3/2
Remember that this is only one-half of the diagonal of the rhombus so multiply that by 2.
Length of longest diagonal is 3.
10) Volume of a square pyramid = (1/3) B · h, where B is the area of the base
200 = (1/3)B(12)
50 = B
Since the base is a square, then each side is √50 (which equals 5√2).
Now, to find the lateral edge, use Pythagorean Theorem (a² + b² = c²).
Height (a) = 12, base (b) = 5√2, and lateral edge (c) is unknown.
(12)² + (5√2)² = c²
144 + 50 = c²
194 = c²
√194 = c
Lateral edge is √194.
Answer:
the answer would be $692.12
Answer:
AB
Step-by-step explanation:
AB could be determined because, if you knew both the angle and the side, you could use trigonometry.
Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the quadrilateral is 129 inches.
<h3>What is the perimeter?</h3>
Perimeter is the sum of the length of the sides used to make the given figure.
The perimeter of the quadrilateral is,
Perimeter = 31 + 7x + 30 + 4x² + 8x + 3x² - 5x + 20
= 31 + 7(2) + 30 + 4(2)² + 8(2) + 3(2)² - 5(2) + 20
= 31 + 14 + 30 + 16 + 16 + 12 - 10 + 20
= 129 inches
Hence, the perimeter of the quadrilateral is 129 inches.
Learn more about Perimeter:
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