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My name is Ann [436]
3 years ago
8

Find the values of x and y. Write your answers in simplest form.

Mathematics
2 answers:
velikii [3]3 years ago
7 0

Answer: x=12 square root 3

y=12

Step-by-step explanation:

Plug the numbers from the picture in to be

2t = 24

t square root 3 = x

t = y

Solve what we can solve

The only one that we can solve is

2t = 24

t = 12

Then plug t to x and y equation above

x = 12 square root 3

y = 12

OverLord2011 [107]3 years ago
3 0

Answer:

Step-by-step explanation:

If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.

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Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 to 4. A marble is drawn at random from the jar. Find
svetoff [14.1K]

Answer:

Step-by-step explanation:

A

The marble is red. There are 6 red marbles out of ten. So the answer is

6/10 = 0.60

B

Red: 1 3 5

Blue: 1 3

So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.

Red: 1/2 * 3/6 = 1/4 = 0.25

Blue: 1/2 * 2/4 = 0.25

Red + blue = 1/4 + 1/4 = 1/2

You could have gotten 1/2 by taking 5/10 but that won't always work.

C

4 0
3 years ago
The lengths of two sides of a triangle are 4 cm 4 cm and 20 cm . 20 cm. Identify the correct pair of measures between which the
Gennadij [26K]

Answer:

I think what you meant to say is "If a triangle has 2 sides that are 4 cm and 20 cm, what are the possible lengths of the third side?"

Basically, when given 2 sides of a triangle, the third side must be GREATER  than the DIFFERENCE of the other 2 sides and LESS than the SUM of the other 2 sides.

difference = 16 cm

sum = 24 cm

So, the third side must be greater than 16 cm and less than 24 cm

Step-by-step explanation:

4 0
3 years ago
A number equals six less than four times a number. What is the number?
WITCHER [35]

Answer:

1.5

Step-by-step explanation:

set x = 6

and x less than four time of 6

it may mean 6÷4

6÷4 = 1.5 #

7 0
3 years ago
Jerry planted a pine tree that was 5 feet tall and a maple tree that was 10 feet tall. The pine tree grew 3 feet taller per year
stich3 [128]

The initial length of the pine tree=5 feet.

Groth rate of pine tree =3 feet/year.

The initial length of the pine tree =10 feet.

Groth rate of the maple tree =2 feet/year.

After x years, the height of the pine tree= 5+3x feet and

after x years, the height of the maple tree= 10+2x feet.

The inequality for which, after x year, the pine tree is taller than the maple tree is

5+3x>10+2x

\Rightarrow x>5 .

The inequality for which, the pine tree is at least as tall as the maple tree is 5+3x\geq10+2x.

\Rightarrow x\geq 5 .

Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and

after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.

The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is

5+9x>10+4x

\Rightarrow 5x>5

\Rightarrow x>1.

The inequality for which, the pine tree is at least as tall as the maple tree is 5+9x\geq10+4x.

\Rightarrow 5x\geq5

\Rightarrow x\geq 1.

5 0
3 years ago
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