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3 years ago

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.

Mathematics

1 answer:

LiRa [457]3 years ago

7 0

Answer:

40 ft

Step-by-step explanation:

Triangle ABC is given by AB = 13 ft, BC = 10 ft, ∠ACB = 50° and AC = b. Let AB = a = 13 ft, BC = c = 10 ft

Since two sides are given and one angle is given, to find the other side, we use the cosine formula. The cosine formula is given by:

$c^2=a^2+b^2-2abcos(C)\\b^2=c^2-a^2+2abcos(C)\\substituting\ values:\\b^2=13^2-10^2+2*10*bcos(50)\\b^2=169-100+12.86b\\b^2-12.86b=69\\b^2-12.86b-69=0\\ solving\ simultaneously\ gives:\\b=16.93\ ft$

The perimeter of the triangle is given by:

Perimeter = AB + BC + AC = 13 + 10 +16.93 = 39.93 ft ≈ 40 ft

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Vitek1552 [10]

Step-by-step explanation:

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therefore, the correct simplification looks like

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8 - 6x or -6x + 8

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3 years ago

Question part points submissions used as a science project, you drop a watermelon off the top of the empire state building, 320

Nataly [62]

We are given a watermelon dropped at free fall from a building 320 meters above the sidewalk. Superman is headed down at 30 meters per second. We are asked to determine how fast is the watermelon going when it passes Superman. To solve for the final velocity of the watermelon, we will use one of the kinematic equations (free fall):

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d = vf + vi / 2 * t

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4 years ago

After a 5% price cut, the price of a liter of petrol was 85.5 cents. What was the price per liter before the price cut?

alexgriva [62]

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3 years ago

The cost price of an article is $40 and the profit is 20 per cent of the cost

frosja888 [35]

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3 years ago

A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of

Arlecino [84]

Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4 = 0

-67y^2 +270y + 4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

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3 years ago