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Alexxandr [17]
4 years ago
10

What is 9=4t+(-7t)how would I find the value of t

Mathematics
2 answers:
posledela4 years ago
6 0
4t+(-7t) is the same as you saying 4t-7t, so 4t-7t= -3t. 9=-3t, divide each side by -3 and t is equal to -3
riadik2000 [5.3K]4 years ago
5 0
9=4t-7t
9=-3t
-3=t
the value of t is -3.
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Bond [772]

The total surface area consists of the base area and the surface area (the area of all lateral faces). The base is a hexagon with side a=3 cm.

A_{hexagon}=6A_{triangle}=6\cdot \dfrac{1}{2} \cdot \dfrac{a^2\sqrt{3}}{4} =\dfrac{3}{4} \cdot 3^2\cdot \sqrt{3}=\dfrac{27\sqrt{3}}{4} sq. cm.

Each lateral face is an isosceles triangle with height h=12 cm and base a=3 cm. The area of one such lateral triangle is

A_{lateral}=\dfrac{1}{2}\cdot h\cdot a= \dfrac{1}{2}\cdot 12\cdot 3=18 sq. cm.

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A_{total}= \dfrac{27\sqrt{3}}{4} +6\cdot 18=\dfrac{27\sqrt{3}}{4} +108=11.7+108=119.7 sq. cm.

Answer: 119.7 sq. cm.

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the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in
kondor19780726 [428]
<h2>Answer:</h2>

\boxed{W=2ft}

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle.  Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

V=L\times W\times H

From the statement of the problem we know:

V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2

So:

24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4

Since we can't have negative distance, the only valid option is \boxed{W=2ft}

3 0
4 years ago
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3 0
4 years ago
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