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Tom [10]
3 years ago
8

a particular square has an area of 50 square inches. approximately how long is each side of the square

Mathematics
1 answer:
Vlad [161]3 years ago
5 0
Area of a square is worked out by multiplying 2 of the sides together so square root 50 is 7.07square inches for one side
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a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Jet001 [13]

Answer:

The vertex form of the equation is y = -\frac{1}{3}( x-1)^{2} +1.

Step-by-step explanation:

You will use the equation y=a(x-h)^{2} +k to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get y= a(x - 1)^{2} +1.

Then, we substitute the point as our x and y to get -2 = 9a+1 (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 9a to get 9a = 3. Finally, divide by 9 on both sides to get a=\frac{1}{3}.

Now, substitute your a back into the equation to get y = -\frac{1}{3}(x-1)^{2}+1.

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}.

5 0
3 years ago
Jerry has 8/9 gallon of paint. He uses 3/4 of it to paint his treehouse. How much paint is left?
mariarad [96]
.666 gallons, you multiply 8/9 by 3/4
and thats how you do it.
8 0
3 years ago
Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for  and round to the
ahrayia [7]

The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

                       Circumference of a circle is 56.52 inches.

                       \pi =3.14

Step:1

             Formula for circumference of circle is,

                                   Circumference, C = 2\pi r........................(1)

              Where, r - Radius of circle

              From the given,

                           C = 56.52 inches

              Equation (1) becomes,

                                          56.52 = 2 \pi (r)

                                          56.52 = (2) (3.14) (r)

                                          56.52 = 6.28 (r)

                                                 r = \frac{56.52}{6.28}

                                                  r = 9 inches

Step:2

             Formula for area of circle,

                                       Area,A = \pi r^{2}............................(2)

             Where, r  - Radius of circle

             From the given,

                               r = 9 inches

             Equation (2) becomes,

                               A = \pi  (9)^{2}

                                   = (3.14) (81)

                                   = 254.34

      Area of circle, A = 254.34 square inches

Result:

          The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

3 0
2 years ago
Select all ratios equivalent to 7:4
Leya [2.2K]

Answer:14:8,21:12 , 28,16

Step-by-step explanation:

7 0
3 years ago
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Suppose that you have a data set containing 1000 tests scores. How many scores would you expect to find matching each descriptio
NemiM [27]
70% because that is average grade
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