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Oksi-84 [34.3K]
3 years ago
15

7 * 4 = 284x7=2828 +7=4?​

Mathematics
1 answer:
Burka [1]3 years ago
5 0
The next one would be 24 divided by 4=7
And the other one should be 24 divided by 7=4
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Can someone help will all the problems I will mark you the brainest!
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Answer:

1. C = 29.52 inches A = 69.63 square inches

2. C = 28.26 inches A = 63.59 square inches

3. Each side of the lawn is 13 yards.

4. 7 is a rational number (\frac{14}{2}), a whole number, and an integer.

5. x = 16

6. h = 12.4

Step-by-step explanation:

1.

π = 3.14

The formula for the circumference of a circle that uses radius is C = 2πr.

C = 2 × 3.14 × 4.7 --- plug in known info

C = 29.516 inches --- solve

C = 29.52 inches

The formula for the area of a circle that uses radius is A = πr².

A = 3.14 × 4.7² --- plug in known info

A = 3.14 × 22.09 --- solve

A = 69.3626 square inches --- solve

A = 69.63 square inches

2.

The formula for the circumference of a circle that uses diameter is C = πd.

C = 3.14 × 9 --- plug in known info

C = 28.26 inches --- solve

To solve for area with the diameter, divide it by 2 and use the radius area formula.

\frac{9}{2}

r = 4.5

A = πr²

A = 3.14 × 4.5² --- plug in known info

A = 3.14 × 20.25 --- solve

A = 63.585 square inches --- solve

A = 63.59 square inches

3.

Because the lawn is square, the length and width of the lawn are equal.

Let x = the length and width.

x × x = 169 --- l × w = area of rectangle

x² = 169 --- x × x is the same as x²

x = 13 --- square root both sides to get rid of square on x

Each side of the lawn is 13 yards.

4.

√49 = 7

Rational number: a number that can be expressed as a simple fraction of 2 integers, 7 = \frac{14}{2}

Irrational number: a number that cannot be expressed as a simple fraction of 2 integers, √2

Whole number: All natural numbers, including 0, up to infinity, 0, 1, 2, 3, 4, 5...

Integer: All whole numbers and their negative counterparts -4, -3, -2, -1, 0, 1, 2, 3, 4…

7 is a rational number (\frac{14}{2}), a whole number, and an integer.

5.

We can solve for x using the Pythagorean theorem: If a triangle is right, a² + b² = c².

12² + x² = 20² --- plug in known info

144 + x² = 400 --- solve

x² = 256 --- subtract 144 from both sides

x = 16 --- square root both sides

6.

Same as problem 5, we will use the Pythagorean theorem to solve.

3² + 12² = h² --- plug in known info

9 + 144 = h² --- solve

153 = h² --- solve

h = 12.36931688 --- square root both sides

h = 12.4 --- round to nearest 10th




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3 years ago
at the farmers market 8 apple cost $5.20 if each apple cost the samw amount what is the price per apple
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The capacity of each booth is 6 people
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I gather you're supposed to compute the integral of G(x,y,z)=z over a surface S that is the part of the parabolic cylinder y=z^2 with 0\le x\le2 and 0\le z\le\frac{\sqrt{15}}2.

We can parameterize S by

\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k

with the given constraints on x and z. Take the normal vector to S to be

\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k

so that the surface element is

\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz

Then in the integral, we have

\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}

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3 years ago
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