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Mamont248 [21]
2 years ago
10

I need answer quickly

Mathematics
2 answers:
Svetlanka [38]2 years ago
5 0

Hello !

Answer:

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²

Here, we have a = 4 and c = 6 so :

    b² = 6² - 4²

⇔ b² = 36 - 16

⇔b² = 20

⇔ b = √20  (and not b= -√20 because b ≥ 0)

Lostsunrise [7]2 years ago
4 0

<u>Answer:</u>

b = \sqrt{20}

<u>Step-by-step explanation:</u>

Using the Pythagorean Theorem:

6² = 4² + b²

⇒ b² = 6² - 4²

⇒ b = \sqrt{6^2 - 4^2}

⇒ b = \sqrt{36 - 16}

⇒ b = \sqrt{20}

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a proportional relationship is represented by the equation 2x=18y . If y=x , where k is the constant of proportionality, then wh
liubo4ka [24]

Answer: \bold{k=\dfrac{1}{9}}

<u>Step-by-step explanation:</u>

The constant of proportionality is y = kx.  Solve the given equation for "y" to find k-value in front of "x".

    18y = 2x

   \dfrac{18y}{18}=\dfrac{2x}{18}

    y=\dfrac{1}{9}x

k=\dfrac{1}{9}



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3 years ago
Derive the equation of the line that goes through (−3, 1) and (0, −5).
Oksanka [162]

Answer:

C)  y = -2x - 5

Step-by-step explanation:

\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)

\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2

Point-slope formula: \sf y-y_1=m(x-x_1)

\sf \implies y-1=-2(x-(-3))

\sf \implies y=-2x-5

5 0
2 years ago
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Our new training room can seat 150 employees. If 6 tables consisting of 6 chairs are now taken, what percentage of our new facil
Anvisha [2.4K]

Step 1

Find out how many chairs are already taken. Multiply the tables by the chairs

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Step 2

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\frac{150}{100} =\frac{36}{x}  \\ \\ 150*x=36*100\\\\ x= \frac{3600}{150} \\ \\ x=24

therefore

the answer is

24%

3 0
3 years ago
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The gcf of 88 and 120 is 8.
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Find the volume of the cylinder. If necessary, round your answer to the nearest hundredth.
Alex17521 [72]

Answer:

V = 1384.7 or 1385.4

(look at explanation)

Step-by-step explanation:

V = pi r^2 (h)

V = pi (49) (9)

V = pi (441)

V = 1384.74 if pi is 3.14

if pi is longer

V = 1385.44236

3 0
3 years ago
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