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irina1246 [14]
3 years ago
13

Janice is creating a scrapbook page with vertices (2,1), (7,1), (7,7), and (2,7). What is the area of the page she will be cover

ing if each grid represents 4 square inches?
Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

The actual area of the page will be 120 square inches.

Step-by-step explanation:

Janice is creating a page of scrapbook having vertices (2,1), (7,1), (7,7), and (2,7).

If we plot the points on the coordinate plane then we will see that the page is of a rectangular shape with length (7 - 1) = 6 units which is parallel to the y-axis and width (7 - 2) = 5 units which is parallel to the x-axis.

So, the area of the page is (6 × 5) = 30 square units.

Now, given that 1 square unit is equivalent to 4 square inches.

Therefore, the actual area of the page will be (30 × 4) = 120 square inches. (Answer)

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Helppppp pleaseeee!!!!!!
maks197457 [2]
I got 3.825

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(2x-1)(x+7)=72

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2x^2 +13x -7 =72

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2x^2 +13x -79=0

i used the quadratic formula and the answer would be 3.825 because a negative answer wouldn’t make sense in this situation
5 0
2 years ago
Solve for x. Show your work.<br> -1/2x &lt; -12x
cricket20 [7]

Answer: x > 24

Step-by-step explanation: -12x/-1/2x = 24. 24 is the given when dividing. The sign is flipped after dividing negatives.

6 0
3 years ago
Read 2 more answers
Which set of measurements could represent the three sides of a triangle?
yawa3891 [41]

Answer:

The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.

Step-by-step explanation:

The measurements are,

                  7cm, 11cm, 54cm, 60cm, 61cm, 65cm

Step:1

                 To check the right angle triangle, Pythagorean theorem can be used.

                For a Pythagorean theorem,

                                     ..........................(1)

               The side values are lower than the hypotenuse,

                                                        ...................................(2)

               Where,

                         a,b - side values

                            c - Hypotenuse

               For right angle triangle,  c > a, b

               Alternative : 1

               Take, a = 7cm, b = 11cm

               From eqn (2),

                                                   =  = 13.04

              The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 2

               Take, a = 7cm, b = 54cm

               From eqn (2),

                                                   =  = 54.45

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 3

               Take, a = 7cm, b = 60cm

               From eqn (2),

                                                   =  = 60.406

              The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 4

               Take, a = 7cm, b = 61cm

               From eqn (2),

                                                   =  = 61.40

              The above value is not equal to the values of (65cm ), So its not an sides of right triangle.

                 Alternative : 5

               Take, a = 11cm, b = 54cm

               From eqn (2),

                                                   =  = 55.1089

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.      

                Alternative : 6

               Take, a = 11cm, b = 60cm

               From eqn (2),

                                                  =  = 61

              The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.

Step:2

            Check for solution,

                                     

                                           

Result:

            The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.                

Step-by-step explanation: The side lengths of a right triangle is 11cm, 60cm and 61cm.

4 0
3 years ago
The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 9,
Airida [17]

Answer:

C

Step-by-step explanation:

Mean: 9+6+18+2+13+3+5= 56/7 = 8

Median: 2,3,5,6,9,13,18 the middle number is 6

mode:none

7 0
2 years ago
Donnavan is measuring the angles of a triangle. He measures the first two angles and gets 10° and 120°. What should be the measu
stepladder [879]
Subtract 10 and 120 from 180 to get 50<span>°</span>
6 0
3 years ago
Read 2 more answers
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