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3 years ago

The grea of a triangle is 14 square units and the height is 7 units.

Mathematics

2 answers:

IgorC [24]3 years ago

6 0

Answer:

Step-by-step explanation:

First, you need to know the formula for a triangle: a=b*h*1/2

Now, let's plug in the values. It should look like this, 14=b*7*1/2

We know that whatever is multiplied by 7 must be divided by 2 (or *1/2) to get 14.

So, knowing this we can multiply 14*2=28 becuase 28/2=14. Now we do 28/7=4.

(14=4*7*1/2)

Hope this helps

MaRussiya [10]3 years ago

5 0

The length I’m guessing is either 2 because 7 x 2 = 14 or it’s 7 because 7 + 7 = 14. But I would go with 2.

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raketka [301]

Answer:

16.5 square feet

Step-by-step explanation:

The logo consists of

rectangle with sides of 3 ft and 1.5 ft;
trapezoid with bases 3 ft, 4 ft and height of 3 ft;
triangle with base of 1.5 ft and height of 2 ft.

The area of rectangle:

$A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2$

The area of trapezoid:

$A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2$

The area of triangle:

$A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2$

Hence, the area of logo:

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4 years ago

o-na [289]

Answer
D
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3 years ago

Solve using derivatives.

Bond [772]

Answer:

Below in bold.

Step-by-step explanation:

The surface area of the box

= x^2 + 4hx where x = a side of the square base and h is the height.

So x^2 + 4hx = 8

The volume of the box

V = x^2h

From the first equation we solve for h

4hx = 8 - x^2

h = (8 - x^2) / 4x

Now we substitute for h in the formula for the volume:

V = x^2 * (8 - x^2) / 4x

V = 8x^2 - x^4 / 4x

V = 2x - 0.25x^3

Finding the derivative:

V' = 2 - 0.75x^2 = 0 for max/mimn values

x^2 = 2/ 0.75 = 2.667

x = 1.633.

So the length and width of the base is 1.633 m and the height

= ( 8 - 2.667) / (4*1.633)

= 0.816 m

The maximum volume = 0.816 * 2.667 = 2.177 m^2.

The answers are correct to the nearest thousandth.

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3 years ago

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Leviafan [203]

Answer:

Give a picture if you want help/ write the problem

Step-by-step explanation:

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Degger [83]

Answer:
The Answer is: B.
Step-by-step explanation:
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f(x) = ab^x
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B. is f(x) = (.08)^x
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