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3 years ago

A square has an area of 150 square centimeters. Which of the

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer:

C) 12.2 cm

Step-by-step explanation:

To find the area of a square, you multiply length and width, which for a square, are the same. So to find the length of one of its sides, you have to take the square root of the area.

$L^{2} = 150\\\\L=\sqrt{150} \\L= 12.2\\$

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Solve the system. find x,y, and z please show all steps x-y+z=1 x+y+3z=-3 2x-y+2z=0

Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

$x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)$

Adding eq(1) and eq(2)

$x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\$

Adding eq(2) and eq(3)

$x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)$

Multiplying eq(4) by 3 and eq(5) by 2

$6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0$

So, value of z =0

Putting value of z in eq(4)

$2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1$

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

$x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2$

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

#learnwithBrainly

7 0

3 years ago

Solve the system by elimination 3x-2y=3 15x-4y=-3

stiv31 [10]

Answer:

x=-1

y=-3

Step-by-step explanation:

3x-2y=3(1)

5.(1) <=> 15x-10y=15 (2)

15x-4y=-3 (3)

(2)-(3) <=> -6y=18

4 0

3 years ago

Nx-5= -0.4 What is N?

denis-greek [22]

Answer:

$\large\boxed{n=\dfrac{4.6}{x}}$

Step-by-step explanation:

$nx-5=-0.4\qquad\text{add 5 to both sides}\\\\nx-5+5=-0.4+5\\\\nx=4.6\qquad\text{divide both sides by}\ x\neq0\\\\\dfrac{nx}{x}=\dfrac{4.6}{x}\\\\n=\dfrac{4.6}{x}$

6 0

3 years ago

Read 2 more answers

Given: PRbisects ZQPS, PQ = 12units, and PS= 12units

Ganezh [65]

Answer:

Use SAS to show that triangles PRQ and PRS are congruent.

Step-by-step explanation:

Since PR bisects angle QPS, angles QPR and SPR are congruent. By reflexive property of congruence, PR is congruent to itself. Since PQ is congruent to PS, we can use SAS to show that the two triangles are congruent. By CPCTC, QR is congruent to SR.

3 0

2 years ago

Justice hopes to build a fence around his garden he measures and determined that he needs 24 feet of fencing when he arrives at

Sunny_sXe [5.5K]

Answer:

It will cost $72 Justice to fence in his garden.

Step-by-step explanation:

Total length of the fencing around the garden = 24 feet

Cost of fencing per inch = $0.25

Now, as we know 1 foot = 12 inches

⇒ 24 feet = 24 x 12 inch = 288 inches

⇒ 24 feet = 288 inches

Hence, the total length of fencing = 288 inches.

Now, Total cost of Fencing

=Total length of fencing x Cost of fencing par inch

= 288 inches x ($0.25)

= $ 72

or, the total cost of fencing = $72

Hence, it will cost $72 Justice to fence in his garden.

7 0

3 years ago