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Luda [366]
3 years ago
13

Anyone know this ? picture shown please help

Mathematics
1 answer:
valina [46]3 years ago
5 0

They're just after some straightforward algebra starting from the Law of Cosine.  We don't have to evaluate any trig functions or anything like that.

c^2 = a^2 + b^2 - 2ab \cos C

We move the c² and the cosine term to their other sides,

2ab \cos C = a^2 + b^2- c^2

That's it for the algebra.  

a,b and c are the side lengths opposite A,B and C respectively.  So a=4, b=5, c=2.

We substitute:

2ab \cos C = 4^2 + 5^2- 2^2 = 16 + 25 - 4 = 37

Answer: A. 37

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The 2s in 202 how many times greater
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Answer:

101

Step-by-step explanation:

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A street has parallel curbs 40 feet apart. A crosswalk bounded by two parallel stripes crosses the street at an angle. The lengt
andreev551 [17]

Answer:

The distance, in feet, between the strip = 12 feet.

Step-by-step explanation:

From the figure attached in relation with the question, we can deduce that crosswalk is a parallelogram where

CD/AB = CE/AE

CD = 40

CE = 50

AE = 15

Let AB = x

50x = 15 × 40

X = 12

 The distance, in feet, between the strip is therefore 12 feet

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2 years ago
Which is a factor of 2x^2y^4-10x2y+14y3-70
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3 years ago
Marco's Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets,cost $3.50 each and he ha
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Answer:

4

Step-by-step explanation:

You just have to divide the money he has by the ticket price.

The answer to that division is 4.5, but he can't buy half ticket, so the answer is 4

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GIVING BRAINLIEST! A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the out
Serjik [45]

Given:

Width of a garden = 10 feet

Length of the garden = 14 feet

Area of the garden and the walkway together = 396 square feet.

To find:

The width of the walkway.

Solution:

A cement walkway is added around the outside of the garden.

Let x be the width of the walkway.

The width of the garden with walkway = 10+2x

The length of the garden with walkway = 14+2x

Area of a rectangle is

Area=length\times width

Area of garden and the walkway together is

Area=(14+2x)\times (10+2x)

396=140+28x+20x+4x^2

396=140+48x+4x^2

396=4(35+12x+x^2)

Divide both sides by 4.

99=35+12x+x^2

0=35-99+12x+x^2

0=-64+12x+x^2

Splitting the middle term, we get

x^2+16x-4x-64=0

x(x+16)-4(x+16)=0

(x+16)(x-4)=0

Using zero product property, we get

(x+16)=0\text{ and }(x-4)=0

x=-16\text{ and }x=4

Width of walkway cannot be negative. So, x=4.

Therefore, the width of the walkways is 4 feet.

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