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4 years ago

In the parallelogram below, W = ?

Mathematics

1 answer:

Ivenika [448]4 years ago

4 0

All angles in a triangle add to 180
so
w+2w+69=180
3w+69=180
3w=111
w=37

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16 is what part of 96?

vlabodo [156]

Answer:

the answer is 16.67

lol dont listen to the last answer i said im dum

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3 years ago

Read 2 more answers

What is the value of log subscript 4 baseline 16? 1 2 4 8

dimulka [17.4K]

$~\log_4 16 \\\\= \log_4 4^2\\\\=2 \log_ 4 4~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=2 \cdot 1~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[ \log_b b =1]\\\\=2$

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2 years ago

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

3 years ago

Heather wants to buy a CD that cost 18.63. How much change does she receive if she gives the cashier $100?

Veseljchak [2.6K]

Answer:

81.37

Step-by-step explanation:

100 - 18.63 = 81.37

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4 years ago

What is the estimated sum? Round each addend to the nearest thousand before adding. 75,364 + 472,756 . A. 550,000 B. 548,000 C.

exis [7]

Hey!

We can round 75,364 to 75,000 and 472,756 to 473,000

75,000 + 473,000 = 548,000

So, the answer is B. 548,000 =)

5 0

3 years ago