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Natali5045456 [20]
4 years ago
7

a piece of art is in the shape of an equilateral triangle with side of 6 inches what is the area of the art

Mathematics
1 answer:
Nitella [24]4 years ago
8 0
Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2

so if base is 6 then height is (6√3)/2=3√3

area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches
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fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides is to be made of material tha
Morgarella [4.7K]

Answer:

23.05 x 10.85

Step-by-step explanation:

Area of Rectangular Fence = L * W = 250ft^{2}

L * W = 250

W = \frac{250}{L}                                      ................................... (i)

Perimeter = 2L + 2W

Three sides cost 4 dollars per foot = 4(2L) + 4W

(The two lengths must be constructed with the 4 dollars materials)

Fourth side costs 13 dollars per foot = 13W

Cost = 4(2L) + 4W + 13W

C = 8L + 17W                         ...................................... (ii)

Substitute (i) into (ii)

C = 8L + 17 (\frac{250}{L})

C = 8L + \frac{4250}{L}  

Plotting this equation with L on the x-axis and cost on the y-axis

minimum cost will be when L ≈ 23.05 ft

W = \frac{250}{23.05} ≈ 10.85 ft

minimum cost = 8(23.05) + \frac{4250}{23.05}

minimum cost = 184.4 + 184.382

minimum cost ≈ 368.78 dollars

5 0
4 years ago
If 9 out of 10 doctors in a small city recommend afternoon naps, and there are 8 doctors in the city who don’t recommend naps, h
Hitman42 [59]

Answer:

  72

Step-by-step explanation:

1 out of 10 do not recommend naps, so 9 times as many do recommend naps.

  9 × (8 doctors) = 72 doctors . . . . . recommend naps

3 0
3 years ago
The Table shows, step-by-step, how to simplify the algebraic expression. 3 (x-5) + 4x. Justify step 4.
Andreyy89
C multiply cuz u ardy used associative and combine like term so the answer is C
8 0
3 years ago
Read 2 more answers
The equation of a line with slope m= - 1/4 and including point (-3, 5) is y= - 1/4 x - 4.
raketka [301]

Answer:

False

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - \frac{1}{4}, hence

y = - \frac{1}{4} x + c ← is the partial equation

to find c substitute (- 3, 5) into the partial equation

5 = \frac{3}{4} + c ⇒ c = \frac{17}{4}

y = - \frac{1}{4} x + \frac{17}{4} ← equation of line


8 0
3 years ago
Which of the following is a value are perfect square
DiKsa [7]

Answer:

1, 81, and 121 are correct

Step-by-step explanation:

they are the only ones that do not have a decimal when squared

1=1

81=9

121=11

7 0
3 years ago
Read 2 more answers
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