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2 years ago

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A trapezoid is shown. The length of one base is 10 and the length of the other base is 6. The height of the altitude is 5. A sma

ll rectangle with height 2 and length 3 is cut out of the bottom of the trapezoid. What is the area of the composite figure? u

2 answers:

gayaneshka [121]2 years ago

8 0

Answer:

34 units^2

Step-by-step explanation:

Correct answer on Edge

AnnyKZ [126]2 years ago

7 0

Answer:46

Step-by-step explanation:

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John Hikes 13.5 mi at a constant rate of 3 mi/ h

stiv31 [10]

Time = distance/time = 13.5/3 = 4.5 hours

Answer is B

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3 years ago

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PLEASEEEEEEEE HELPPPPPP ME

Contact [7]

Answer: Hi! All of the answers and work are below. Please double check on your work just to make sure. Hope this helped! :)

Step-by-step explanation:

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2 years ago

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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not m

Zigmanuir [339]

Answer:

(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.

(b) $c =0.51995$

Step-by-step explanation:

Given

$f(x) = e^{-4x};\ [0,2]$

Solving (a); Does the function satisfy M.V.T on the given interval

We have:

$f(x) = e^{-4x};\ [0,2]$

The above function is an exponential function, and it is differentiable and continuous everywhere

Solving (b): The value of c

To do this, we use:

$f'(c) = \frac{f(b) - f(a)}{b - a}$

In this case:

$[a,b] = [0,2]$

So, we have:

$f'(c) = \frac{f(2) - f(0)}{2 - 0}$

$f'(c) = \frac{f(2) - f(0)}{2}$

Calculate f(2) and f(0)

$f(x) = e^{-4x}$

So:

$f(2) = e^{-4*2} = e^{-8} = 0.00033546262$

$f(0) = e^{-4*0} = e^{0} = 1$

This gives:

$f'(c) = \frac{0.00033546262 - 1}{2}$

$f'(c) = \frac{-0.99966453738}{2}$

$f'(c) = -0.4998$

Note that:

$f'(x) = (e^{-4x})'$

$f'(x) = -4e^{-4x}$

This implies that:

$f'(c) = -4e^{-4c}$

So, we have:

$f'(c) = -0.4998$

$-4e^{-4c} =-0.4998$

Divide both sides by -4

$e^{-4c} =\frac{-0.4998}{-4}$

$e^{-4c} =0.12495$

Take natural logarithm of both sides

$\ln(e^{-4c}) =\ln(0.12495)$

$\ln(e^{-4c}) =-2.0798$

Apply law of natural logarithm

$\ln(e^{ax}) =ax$

So:

$-4c =-2.0798$

Solve for c

$c =\frac{-2.0798}{-4}$

$c =0.51995$

3 0

2 years ago

Which polynomial identity will prove that 49<br> = (2 + 5)2?

crimeas [40]

Step-by-step explanation:

error

Polynomial error: You have used illegal character ( = )..

Step by Step Solution

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

49-((2+5)*2)=0

STEP

1

:

Equations which are never true:

1.1 Solve : 35 = 0

This equation has no solution.

A a non-zero constant never equals zero.

No solutions found

6 0

2 years ago

!!! HELP ASAP !!! 40 x 20 - 6 + 4 =

Mamont248 [21]

Answer:

798

Step-by-step explanation:

first you do 40x20=800 then 800-6=794 then 794+4=798

8 0

2 years ago