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IRINA_888 [86]
3 years ago
14

–4.5t49.5t = 40 Please help

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

      Multiply (-4.5t)(49.5t):

                     (-4.5t)(49.5t) = -222.75t

      Now, write full equation:

          -222.75t = 40

      Isolate t by dividing -222.75 on both sides:

           \frac{-222.75}{-222.75}t=\frac{40}{-222.75}

      Cancel out left hand side:

            t=\frac{40}{-222.75}

      Simplify your answer:

              t=-0.17957351

      Approximate to 2 decimals:

           t=-0.18

     

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Answer: -2.88889

Step-by-step explanation:

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8 0
3 years ago
You were given the polynomial f(x)=3x^3+13x^2+19x+k and you know that f(-2)=0find k
eduard

Answer:

k = 10

Explanation:

The initial polynomial is:

f(x)=3x^3+13x^2+19x+k

If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:

\begin{gathered} f(-2)=3(-2)^3+13(-2)^2+19(-2)+k=0 \\ 3(-2)^3+13(-2)^2+19(-2)+k=0 \end{gathered}

Therefore, we can solve for k as follows:

\begin{gathered} 3(-8)+13(4)+19(-2)+k=0 \\ -24+52-38+k=0 \\ -10+k=0 \\ -10+k+10=0+10 \\ k=10 \end{gathered}

So, the value of k is 10

6 0
1 year ago
Simplify the expression 2.5(10x+8)+3x
IceJOKER [234]
The answer is: 28x + 8
7 0
3 years ago
Read 2 more answers
(5 hundreds 5 tens)×10 in unit form what's the unit form?
Neko [114]
The unit form for that is
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5 0
3 years ago
What is the surface area of a conical grain storage tank that has a height of 37 meters and a diameter of 16 meters? Round the a
jek_recluse [69]
The surface area of a cone is equal to the base plus the lateral area.

The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.

To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433

The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)

Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
8 0
4 years ago
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