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Inga [223]
2 years ago
5

A metal frame is constructed in the form of an isosceles trapezoid. Each base angle measures 80°, the length of the base is 7 fe

et, and each of the nonparallel sides is 5 feet long. Determine the length of a diagonal brace to the nearest whole number.
Mathematics
1 answer:
jonny [76]2 years ago
3 0
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
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x≥38 points

Step-by-step explanation:

Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?

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(4). The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

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Dolls house 1 =  6(6)(5) + one thirds of 6(6) =180+ 12 =192 cubed inches.not 334 as shown in equation 1

Dolls house 2 = should be V= 6(6)5 - one third of 6(6) = 180-12 =168 cubed inches not 188 as shown in equation 2

Where all the other listed answers in question are incorrect as they add up to 334 or 188.

Step-by-step explanation:

dh1+2 rectangle = 6 x 5 x 4 = 120

Volume of triangle

V = 0.5 X b X a X h. = 0.5 x 6 x 6 x 4 = 72sq^3 + 120-sq^3 = 192sq^3

Volume of the Pyramid/rectangle dh = lwh/3

= 6x6x4=144/3=48sq^3 +  120sq^3= V = 168sq^3

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