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lys-0071 [83]
4 years ago
6

Find the area of the following rectangle (the figure is not drawn to scale)

Mathematics
1 answer:
Sophie [7]4 years ago
8 0

Answer:

<h2>204 units²</h2>

Step-by-step explanation:

It's a rectangle. Therefore the opposite sides are congruent.

We have the equation:

2x + 4 = 12              <em>subtract 4 from both sides</em>

2x = 8       <em>divide both sides by 2</em>

x = 4

Put the value of x to the expression 4x + 1:

4(4) + 1 = 16 + 1 = 17

Therefore we have the rectangle with dimesions 17 × 12.

The area of the rectangle:

A = (17)(12) = 204

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Darrin's calculator shows a number as 2.3476 E12.
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Standard form of 2.3476 E12 is 2347600000000
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The angle of elevation to a nearby tree from a point on the ground is measured to be
sladkih [1.3K]

Answer:

h ≈ 66.4 ft

Step-by-step explanation:

The situation can be modelled by a right triangle with h representing the height of the tree.

Using the tangent ratio in the right triangle

tan39° = \frac{opposite}{adjacent} = \frac{h}{82} ( multiply both sides by 82 )

82 × tan39° = h , then

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3 years ago
Determine whether the
alexdok [17]

Answer:

a. exponential

b. linear

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3 years ago
Lorenzo buys 3 shirts at s dollars apice and 2 pants at p dollars a pair what does the expression 3s+2p reprersent
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6 0
3 years ago
A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π?
natka813 [3]

The volume of sphere in terms of \pi is 288\pi cubic inches, if the sphere has a radius of 6 inches.

Step-by-step explanation:

The given is,

                       A sphere has a radius of 6 inches

Step:1

                      Formula for volume of sphere is,

                                               Volume, V =\frac{4}{3}\pi  r^{3}...........................(1)

                      where, r - radius of sphere

                      From given,

                                  r -  6 inches

                     Equation (1) becomes,

                                                               = \frac{4}{3}\pi  (6)^{3}

                                                               = \frac{4}{3} \pi(216)            ( ∵ 6^{3} = 6×6×6 =216 )

                                                               =  (1.3333)\pi (216)

        ( The volume of the sphere in terms of π, So keep the value of \pi )

                                                               = 288\pi

                                                               = 288\pi Cubic inches

                           Volume of sphere, V = 288\pi Cubic inches

Result:

              The volume of sphere in terms of \pi is 288\pi cubic inches, if the sphere has a radius of 6 inches.

8 0
3 years ago
Read 2 more answers
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