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3 years ago

10 POINTS! Please help ASAP How do I find the perimeter of a trapezoid?

1 answer:

5 0

Use the triangle formed by the height of the trapezoid to find the lengths of the two sides of the trapezoid and the length of b2:

tan(60)=oppositeadjacent . Adjacent=5tan(60)=2.89 cm.

This finds the base of the triangle, which can be added twice to b1 to find b2: b2=8+2.89+2.89=13.78 cm.

Now, use the same triangle to find the length of the sides.

sin(60)=oppositehypotenuse . Hypotenuse=5sin(60)=5.77 cm.

Lastly, add all of the lengths together: b1+b2+2(l)=8+(2.78+2.78+8)+2(5.77)=33.32 cm.

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A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.

Snezhnost [94]

Answer:

The minimum unit cost is 5377

Step-by-step explanation:

Note that we have a cudratic function of negative principal coefficient.

The minimum value reached by this function is found in its vertex.

For a quadratic function of the form

$ax ^ 2 + bx + c$

the x coordinate of the vertex is given by the following expression

$x=-\frac{b}{2a}$

In this case the function is:

$C(x) = x^2 - 400x + 45,377$

So:

$a=1\\b=-400\\c=45,377$

Then the x coordinate of the vertex is:

$x=-\frac{-400}{2(1)}$

$x=200\ cars$

So the minimum unit cost is:

$C(200) = (200)^2 - 400(200) + 45,377$

$C(200) = 5377$

6 0

3 years ago

Read 2 more answers

Write the equation of a sine function that has the following characteristics.

slava [35]

Answer:

$\displaystyle y = 7\sin(9\pi(x + {1}/{4}) )$

Step-by-step explanation:

we are given

Amplitude:7
Period:9π
Phrase shift:¼

remember that,

$\displaystyle y = A \sin(B(x + C) )+ D$

where A is the Amplitude

B is the Period

C is the Phase shift

D is the vertical shift

note that, since D isn't given we'll take it 0

altogether substitute:

$\displaystyle y = 7\sin(9\pi(x + {}^{1}/_{4}) )+ 0$

hence,

our equation is

$\displaystyle y = 7\sin(9\pi(x + {}^{1}/_{4}) )$

and we are done!

5 0

3 years ago

Read 2 more answers

What is (f-g)(x)?<br><br> question equation show in picture

likoan [24]

Answer:

(f-g)(x) = x^4 - x^3 - 4x^2 - 3

Step-by-step explanation:

(f-g)(x) = x^4 - x^2 + 9 - (x^3 + 3x^2 + 12)

(f-g)(x) = x^4 - x^2 + 9 - x^3 - 3x^2 - 12

(f-g)(x) = x^4 - x^3 - 4x^2 - 3

7 0

4 years ago

Is either x=9 or x=15 a solution to x-3=12?

kvasek [131]

Answer:

It's 15

c. x=15 is a solution but x=9 is not

Step-by-step explanation:

15-3=12

9-3=6

7 0

3 years ago

Help plz!!!!!!<br> −3(4 − a) = 6

inn [45]

Answer:

a = 6

Step-by-step explanation:

use distribution method:

-3(4-a) = 6

-12+3a = 6

3a = 6+12

3a = 18

a = 18/3 = 6

3 0

4 years ago

Read 2 more answers