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2 years ago

Does the product of diagonals of trapezoid equal to its area

Mathematics

1 answer:

kondor19780726 [428]2 years ago

3 0

Answer:

No. The formula for trapezoid area is:

trapezoid area = ((sum of the bases) ÷ 2) • height

Step-by-step explanation:

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The hanger image below represents a balanced equation

kolezko [41]

Answer:

h+7+20

h=13

Step-by-step explanation:

To find 7+ what ='s 20 i just added 13 bc 13+7=20

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2 years ago

) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?

GREYUIT [131]

Step-by-step explanation:

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1 year ago

What is the decimal number of 2 quaters

Sergio039 [100]

I think 0.50 Hope that helped! Have a good day!
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2 years ago

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PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of

Pachacha [2.7K]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{4^3}{3}$

$V = 2*3.14 * \dfrac{64}{3}$

$V = \dfrac{401.92}{3}$

$\boxed{ V_{hemisphere} \approx 133.97\:cm^3}$

What is the approximate volume of this figure?

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

$\boxed{\boxed{\boxed{V = 334.93\:cm^3 \to Volume\:of\:the\:figure \approx 335\:cm^3 }}}\end{array}}\qquad\quad\checkmark$

Answer:

The volume of the figure is approximately 335 cm³

_______________________

I Hope this helps, greetings ... Dexteright02! =)

8 0

2 years ago

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Q(x)=4x2-3x3+8x is it a cubic trinomial

Norma-Jean [14]

Answer:

Yes

Answer: x = 0

Step-by-step explanation:

Yes it is.

Down is the answer how to solve this equation and the steps.

Step 1 :

Equation at the end of step 1 :

qx - (((4 • (x2)) - 3x3) + 8x) = 0

Step 2 :

Equation at the end of step 2 :

qx - ((22x2 - 3x3) + 8x) = 0

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

qx + 3x3 - 4x2 - 8x =

x • (q + 3x2 - 4x - 8)

Equation at the end of step 4 :

x • (q + 3x2 - 4x - 8) = 0

Step 5 :

Theory - Roots of a product :

5.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2 Solve : x = 0

Solution is x = 0

Solving a Single Variable Equation :

5.3 Solve q+3x2-4x-8 = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Answer: x = 0

Hope this helps.

7 0

2 years ago