The area of a square picture frame is 55 square inches. Find the length of one side of the frame. Explain to the nearest whole inch.

Answers

Answer 1
Answer:

Given:

The area of a square picture frame is 55 square inches.

To find:

The length of one side of the frame.

Solution:

Let the length of one side of the frame is x inches.

Area of square is

Area=a^2

where a is side length.

Area of frame is

Area=x^2

55=x^2

Taking square root on both sides.

√(55)=x

x=7.4161985

x\approx 7

49<55<64, so 7<√(55)<8. Since 55 is closer to 49, therefore, √(55) is closer to 7.

Therefore, the length of one side of the frame is 7 inches.


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Simplify.5 – [–(–2)]

A.
–3

B.
3

C.
–7

D.
7

Answers

5- [-(-2)]
5-2
3

Final Answer: B:3
The answer is A. three because
[-(-2)] makes a positive 2 (because a negative times a negative equals a positive) then subtract the positive 2 from 5 equals positive 3.

Solve the system of equations.2x + 3y = 13
–6x + 4y = 0
A.
(2, 3)
B.

C.
(5, 1)
D.
(–2, –3)

Answers

2x + 3y = 13

–6x + 4y = 0

multiply the first equation by 3

6x +9y = 39

then add the 2nd equation to the first

6x +9y = 39

–6x + 4y = 0

-------------------

13y = 39

divide by 13

y =3

now take an equation and solve for x by substituting in y

2x +3y =13

2x +3(3) =13

2x+9 =13

subtract 9 from each side

2x =4

divide by 2

x=2

Answer (2,3)

Choice A

Answer:

a

Step-by-step explanation:

Solve each equation by taking square roots

-3x^2=-105

Answers

-3x^2=-105 

x^2= (-105)/(-3)    Divide \ both \ sides \ by \ -3 

x^2= (105)/(3) 

x^2=35 

x=+ √(35)   Take \ the \ square \ root \ of \ both \ sides 

x = 5.916   Solution

What is the experimental probability of rolling an odd number on a standard number cube? For 50 rolls of the number cube, predict the number of rolls that will result in an odd number.

Answers

Out of 50 rolls of a standard number cube, 25 rolls will result in an odd number.

What is the probability?

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

A standard number cube has 6 faces, numbered 1 through 6. Out of these, there are three odd numbers: 1, 3, and 5.

Since there are three odd numbers out of a total of six possible outcomes, the experimental probability of rolling an odd number on a standard number cube is:

Experimental probability = Number of odd outcomes / Total number of outcomes

Experimental probability = 3/6

Experimental probability = 1/2 or 0.5

This means that in the longrun, we can expect half of the rolls of a standard number cube to result in an odd number.

To predict the number of rolls that will result in an odd number out of 50 rolls, we can simply multiply the total number of rolls by the experimental probability:

Number of rolls resulting in an odd number = Total number of rolls x Experimental probability

Number of rolls resulting in an odd number = 50 x 0.5

Number of rolls resulting in an odd number = 25

Therefore, we can predict that out of 50 rolls of a standard number cube, 25 rolls will result in an odd number.

To learn more about the probability;

brainly.com/question/11234923

#SPJ3

Answer:

5050

Step-by-step explanation:

i know this because you do 5050

Which Greek mathematician is known as the Father of Geometry

Answers

Euclid was a Greek mathematician known as "Father of Geometry"
Euclid of Alexandria was known as the "father of geometry"

In circle P, diameter QS measures 20 centimeters.What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. explain.

Answers

so for a straight line the total is 180 degrees, so angle rpq is 180 - 123 which. makes 57 °. and arc length is just circumference of circle x 57/360. so here, it would be 20πx57/360 so the answer is 9.948..... and round it up 9.9 cm

The length of the arc QR is 9.3cm

How to calculate the length of an arc

The formla for calculating the length of an arc is expressed as:

  • L = rФ

r is the radius  = 10cm

Ф = 180 - 123

  • Ф = 57 degrees

Substitute the values into the formula to have:

L = 10 (53*3.14/180)

L = 9.25cm

Hence the length of the arc QR is 9.3cm

Learn more on length of an arc here: brainly.com/question/2005046