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tatiyna
3 years ago
13

Find the value of y. 4 2 √3 6 6 √3

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

\triangle ABC\ \text{and}\ \triangle ACD\ \text{are similar. Therefore the sides of triangles}\\\text{ are in proportion:}\\\\\dfrac{y}{9+3}=\dfrac{9}{y}\qquad\text{cross multiply}\\\\y^2=(9)(12)\\\\y^2=108\to y=\sqrt{108}\\\\y=\sqrt{36\cdot3}\\\\y=\sqrt{36}\cdot\sqrt3\\\\\boxed{y=6\sqrt3}

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a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft a
IrinaVladis [17]

The distance between the boats after 1 minute would be 130 ft.

Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:

  • Total width - boat distance 1 - boat distance 2 = Distance after 1 minute
  • 200 - 40 - 30 = X
  • 130 = X

Therefore, the distance between the boats after 1 minute would be 130 ft.

Learn more about maths in brainly.com/question/25808345

6 0
2 years ago
Hello!!!! :) please help with this math problem! thank u so much!!!! i really appreciate it <3
Morgarella [4.7K]

Answer:

AGREE!

Step-by-step explanation:

"I agree with Lin, she used the correct formula to get this answer"

3 0
3 years ago
7. A bag of M&Ms contains the following distribution of colors:
lys-0071 [83]

Answer:

a) 21/1240 = 0.017

b) 9/1240 = 7.26*10^-3

c) 3/2480 = 1.21*10^-3

Step-by-step explanation:

There are total 32 M&Ms in the bag

a) Probability that all three are blue M&Ms (without replacement)

         (9/32)*(8*31)*(7/30) = 21/1240 = 0.017

b)     Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red

         (9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3

c)     Probability that the first two selected are red, and the third one selected is yellow

        (4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3

3 0
3 years ago
20 points!! Pls help
Studentka2010 [4]

Answer:

<h3>(-4, 1)</h3>

Step-by-step explanation:

-x-3=y, therefore x = -y-3

-3x - 8y = 4

Find the value of y

Substitute the x in -3x - 8y = 4 with -y-3

We get

-3·(-y-3) - 8y = 4

3y + 9 - 8y = 4

-5y = 4-9

-5y = -5

<h3>y = 1</h3>

_______________

Find the value of x

x = -y-3

x = -1-3

<h3>x = -4</h3>

_______________

Answer (x, y) =

<h3>(-4, 1)</h3>

_____________________

#IndonesianPride - kexcvi

5 0
3 years ago
Read 2 more answers
A military cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path
katrin [286]

Answer:

Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.

Step-by-step explanation:

7 0
3 years ago
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