All categories

3 years ago

What is half of a trapezoid

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

3 0

Folded in half, it is still a trapazoid.

You might be interested in

Jim’s football team started a play on the 50 yard line. On the first play, the team had a 7-yard gain. On the second play, they

Advocard [28]

Answer:

47 yard line

Step-by-step explanation:

50+7-10=47

3 0

4 years ago

A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each addi

castortr0y [4]

Answer:

126 trees should she plant per acre to maximize her harvest.

Step-by-step explanation:

Let x be the additional tress that must be plant after planting 100 tress.

So, total number of trees = 100 + x trees

Also, Each additional tree planted decreases the yield of each tree by 3 bushels.

So , net bushels by each tree = 35 - 3x

The revenue function becomes

f(x) = (100 + x)(35 - 3x)

Thus,

Differentiating it by using chain rule as:

f'(x) = (100 + x)35 + 100(35 - 3x)

f'(x) = 3500 + 35x + 3500 - 300x

f'(x) = 7000 - 265x

For maxima of f(x), f'(x) = 0

7000 - 265x = 0

Thus,

x = 26.4151

Since, x represents tress, so, x is 26.

So, total tress she would plant to earn maximum revenue = 100 + 26 = 126 trees

3 0

3 years ago

If F(x) = log 4 3x, find F -1(x). A.4^y=3x B.4^x=3y C.4^3y=x

lara31 [8.8K]

Answer:

${f}^{ - 1} (x) = \frac{{4}^{x} }{3}$

Step-by-step explanation:

The given logarithmic function is

$f(x) = log_{4}(3x)$

Let y=f(x)

This gives us:

$y = log_{4}(3x)$

We interchange x and y to get:

$x = log_{4}(3y)$

${4}^{x} = 3y$

$y = \frac{{4}^{x} }{3}$

Therefore the inverse is

${f}^{ - 1} (x) = \frac{{4}^{x} }{3}$

Based on the possible answers, B is most closed to the inverse.

The correct answer is B

5 0

3 years ago

How is this equation completed? I cannot find any examples in the book.

djverab [1.8K]

Answer: Option D

$t_{max} =19\ s$

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

$h = -12t ^ 2 + 456t$

To find the maximum height of the projectile we must find the maximum value of the quadratic function.

By definition the maximum value of a quadratic equation of the form

$at ^ 2 + bt + c$ is located on the vertex of the parabola:

$t_{max}= -\frac{b}{2a}$

Where $a$

In this case the equation is: $h = -12t ^ 2 + 456t$

Then

$a=-12\\b=456\\c=0$

So:

$t_{max} = -\frac{456}{2*(-12)}$

$t_{max} =19\ s$

7 0

3 years ago

Mai is riding her bicycle she take 6 hours to ride 38.4 kilometers. What is her speed ?

iVinArrow [24]

Time = 6hours

Distance = 38.4 Km

Speed = distance /time

= 38.4/6

= 6.4 km/h

5 0

3 years ago

Read 2 more answers