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3 years ago

Divide.

Mathematics

1 answer:

denpristay [2]3 years ago

7 0

300 with a remainder of 10

3 0 0

1 4 | 4 2 1 0

4 2

1 0

Therefore, 4210 / 14 = 300 with a remainder of 10.

300 with a remainder of 10

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The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. Th

Orlov [11]

The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

<h3>How to determine the length</h3>

The cosine rule is given as;

$c = \sqrt{a^2 + b^2 - 2ab cos \alpha }$

c = length of the diagonal

a = base length = 22 feet

b = 7 feet

$c = \sqrt{7^2 + 22^2 - 2 * 7 * 22 cos 40}$

$c = \sqrt{533 - 308 * 0. 7660}$

$c = \sqrt{533 - 235. 93}$

$c = \sqrt{297. 072}$

$c = 17. 24$ feet

Using sine rule

$\frac{a}{sin A } = \frac{c}{sin C}$

$\frac{a}{sin 70} = \frac{17. 24}{sin 40}$

Cross multiply

$a$ × $sin 60$ = $c$ × $sin 70$

$a$ × $0. 8660$ = $17. 24$ × $0. 9397$

$a = \frac{16. 20}{0. 8660}$

a = 18. 7 feet long

Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

Learn more about isosceles trapezoid here:

brainly.com/question/10187910

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Pre-cal help!! (See Attachment)

MAVERICK [17]

$2cos(x) + 1 = 0$

$cos(x) = -\frac{1}{2}$

The basic angle for 1/2 is 60°, and cosines are negative in the first and third quadrant.

So, you take 180° - 60° = 120° to get the angle in the first quadrant, and 180° + 60° = 240° to get the angle in the third quadrant.

Since only 120° is an option, the answer is B.

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