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2 years ago

13

Is the area of this shape approximately 86.2 cm? If not, give the correct area.

1 answer:

lisov135 [29]2 years ago

6 0

Answer: True

Step-by-step explanation:

The area of a trapezoid is ((b1+b2)/2)*h.

Because this trapezoid is an isosceles trapezoid, we can find the base of the right triangles: 4. Then, using Pythagorean theorem we can get the height of the trapezoid, the square root of 33, or about 5.75. Then plugging the values into the formula, we get 86.25, which is close to 86.2.

Hope it helps <3

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2 years ago

Select the correct answer.

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The correct answer is b) 2

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1 year ago

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PilotLPTM [1.2K]

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1 year ago

F(x)=2x^3+ax^2-37x-60<br><br> The binomial x-4 is a factor of f(x). Find the value of a.

jekas [21]

Given:

The function is

$f(x)=2x^3+ax^2-37x-60$

The binomial $x-4$ is a factor of f(x).

To find:

The value of $a$ .

Solution:

If $x-c$ is a factor of f(x), then $f(c)=0$ .

It is given that, $x-4$ is a factor of f(x), then $f(4)=0$ .

We have,

$f(x)=2x^3+ax^2-37x-60$

Substituting x=4, we get

$f(4)=2(4)^3+a(4)^2-37(4)-60$

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$f(4)=128+16a-208$

$f(4)=16a-80$

Now,

$f(4)=0$

$16a-80=0$

$16a=80$

$a=\dfrac{80}{16}$

$a=5$

Therefore, the value of a is 5.

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2 years ago