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kolezko [41]
3 years ago
14

What is the length of the missing side? What is the area of the figure?Show ALL work.​

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0

Answer:

Missing side=25 units.

Area of the figure= 470 sq units.

Step-by-step explanation:

The figure is made up of a rectangle and a triangle.

To get the base of the triangle, we find the difference between the two parallel sides, that is, 16ft and 31 ft.

31ft-16ft=15ft  

The height of the triangle is 20 since it is parallel and equal to the length of the rectangle.

We therefore use pythagoras theorem to find ?

a²+b²=c²

15²+20²=c²

625=c²

c=25

ii. The figure is a trapezium therefore we use the following formula to find the area.

A= 1/2(a+b)h, where a and b are the two parallel sides. and h the distance between them.

=(1/2)(31+16)×20

=470 sq units

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Pls show work?!!!!!!!
Paraphin [41]

Answer: 55.5 (A.)

Step-by-step explanation:

Since angle A = 29 and angle B = 41, angle C must be equal to 110

180 = m<A + m<B + m<C

180 = 29 +41 + m<C

180 = 70 + m<C

110 = m<C

Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.

Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.

Law of Sines: sinA/a = sinB/b = sinC/c

sinA/a = sinB/b

sin29/41 = sin41/b

b(sin29/41) = sin41

b = 41(sin41)/(sin29)

b = 55.48

b = 55.5

7 0
2 years ago
what is thirty-two and six hundred five thousandths,greater than,less than,or equal to 3×10+2×1+7×110 ?
Zepler [3.9K]

32.605

3x10+2x1+7x110= 802.

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4 0
3 years ago
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Bess [88]

Answer:

#1)

Angle A = 30 degrees; 180 - 150 = 30

Angle B = 120 degrees; 180 - 60 = 120

#2)

Angle A = 65 degrees; 180 - 115 = 65

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3 years ago
Reduce to simplest form.<br> -3/4-(-1/6)
slavikrds [6]

Answer:

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 1 and 6 is

1 ÷ 16

Reduced fraction: 16. Therefore, 1/6 simplified to lowest terms is 1/6.

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