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anygoal [31]
3 years ago
11

Need help with this, finding the length of the third side

Mathematics
1 answer:
Advocard [28]3 years ago
5 0

Answer:

its sqrt (50)

Step-by-step explanation:

The triangle has a right angle, therefore we can use the Pythagorean theorem to find the hypotenuse. According to the theorem the sum of the squares of both other sides is equal to the square of the hypotenuse.

We have 5^2+5^2=c^2

=> 25+25=c^2

=> 50=c^2

Therefore c or the missing side is equal to sqrt(50)

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How do you work out perimeter?
Harman [31]
You need to add up all the sides to find the perimeter.
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3 years ago
A boat’s velocity, measured in meters per second, is described by vector b⇀=⟨3,4⟩. In two or more complete sentences explain how
Sedbober [7]

Answer: Velocity is a vector, so it has a magnitude and direction.

Speed is its magnitude, which is obtained from

|〈-3, 4〉 m/s| = √((-3 m/s)² + (4 m/s)²) = √(25 m²/s²) = 5 m/s

Its direction is an angle θ made with the positive horizontal axis, satisfying

tan(θ) = (4 m/s) / (-3 m/s) = -4/3   →   θ = arctan(-4/3) + 180°n

where n is any integer. Now you have to consider that the x coordinate is negative and the y coordinate is positive, so 〈-3, 4〉 points into the second quadrant, and we get an angle there for n = 1 of about

θ ≈ 126.87°

Alternatively, you can use the vector 〈1, 0〉 in place of the axis, then compute the angle by relating it to the dot product, so θ is such that

〈-3, 4〉 • 〈1, 0〉 = |〈-3, 4〉| |〈1, 0〉| cos(θ)

(-3)•1 + 4•0 = √((-3)² + 4²) • √(1² + 0²) cos(θ)

-3/5 = cos(θ)   →   θ = arccos(-3/5) + 360°n

where again, n is any integer, and we get the same solution θ ≈ 126.87° in the second quadrant when n = 0.

Step-by-step explanation:

5 0
2 years ago
Which sentence best shows the significance of Rider giving Margie the stone?
Leto [7]

Answer:

(A)

Step-by-step explanation:

6 0
3 years ago
John has taken out a loan for college. He started paying off the loan with the first payment of $100. Each month he pays, he wan
dedylja [7]
John's payments are
month 1: $100
month 2: $100*(1.1)
month 3: $100*(1.1)²
month 4: $100*(1.1)³

...

The payments form the geometric sequence 
a, ar, ar², ..., arⁿ
where
a = $100
r = 1.1

The sum of the first n terms is
S_{n} = \frac{a(1-r^{n})}{1-r}

Therefore the sum of the first 20 payments is
S₂₀ = [$100(1 - 1.1²⁰)]/(1 - 1.1)
     = $5727.50

John makes a total of $5727.50 in the first 20 payments.
4 0
3 years ago
Sam sold his bike to Susan for 35%more than he paid for it.susan then sold the bike to Stanley for 20%more than she paid for it.
12345 [234]
%55? mot sure so do NOT count on me im only a sixth grader
6 0
3 years ago
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