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3 years ago

A square room has an area of 20 square meters. what is the approximate length of each side?

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

To find the length of one side calculate the square root of 20

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Why do systems of nonlinear equations sometimes have more than one solution

Mice21 [21]

Answer:

System of two linear equations can't have exactly two solutions. Reason is that when we have two straight lines,they can only intersect at one point of intersection,no more. Or let's see if lines are equivalent,then they have infinitely many solutions,because any point on line can be solution for the system.

Step-by-step explanation:

5 0

3 years ago

a doctors office surveyed their patients on wait time satisfaction, with a scale of 1bto 5. The data listed below are the report

liubo4ka [24]

Answer:

See Attached

Step-by-step explanation:

The survey on wait time satisfaction for patients at a doctor's office generated the reported scores below.

1,3,2,3,3,4,4,1,5,3,3,3,4,4,5,2,2,2,1,1

First we sort making sure the total number of scores equal 20:

1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5

Frequency of 1=4
Frequency of 2=4
Frequency of 3=6
Frequency of 4=4
Frequency of 5=2

Next, we draw the dot plot which is attached below.

7 0

3 years ago

A roller coaster makes an angle of 52 degrees with the ground. The horizontal distance from the crest of the hill to the bottom

Ann [662]

Answer:

Step-by-step explanation:

Using soh cah toa

Sin=opp/hot

Sin 52°=h/121

h=sin52°×121

h=0.7880×121feet

h=95.348feet

4 0

3 years ago

Find the values of x and y that make these triangles congruent by the HL Theorem.

RideAnS [48]

According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

By using equation (1) next step is to plug in y+1 for x in equation (2). So,

2 ( y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3 By using distribution property.

2y + 5 = 3y + 3

2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.

2y = 3y - 2

2y - 3y = -2 Subtract 3y from each sides.

-y = -2

So, y=2

Next step is to plug in y=2 in equation (1) to get the value of x. Hence,

x= 2+1

So, x=3 and y=2 make these triangles congruent.

So, the correct choice is 3. x = 3, y = 2.

7 0

3 years ago

A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house

Nina [5.8K]

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87, x = 87 - 4y

2(87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3(18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

8 0

3 years ago