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1 year ago

Triangle ABC , m∠A=45° and c = 16, find b.

Mathematics

1 answer:

zmey [24]1 year ago

5 0

Using the cosine function:

$\begin{gathered} \cos (\theta)=\frac{_{\text{ }}adjacent}{_{\text{ }}hypotenuse} \\ so\colon \\ \cos (45)=\frac{b}{16} \end{gathered}$

Solve for b:

$\begin{gathered} b=16\cdot\cos (45) \\ b=8\sqrt[]{2} \end{gathered}$

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3 years ago

If U=π (r+h),find the value of "r" when U=16 whole 1 upon 2 and h=2

saw5 [17]

Answer:

r = 3 1/4

Step-by-step explanation:

Here, we want to find the value of r given the values

Firstly, we will write r as the subject of the formula

U = π ( r + h)

U/π = r + h

r = U/π - h

Now substitute;

U = 16 1/2 = 33/2

h = 2

π= 22/7

r = 33/2/22/7 - 2

r = (33/2 * 7/22) - 2

r = 21/4 - 2

r = (21-8)/4

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3 years ago

What is the length of n ? 16 8 2 4

Dima020 [189]

Answer:

Step-by-step explanation:

3 0

3 years ago

Working together to palms can drain a certain pool in three hours if it takes the older pump nine hours to drain the pool by its

andreyandreev [35.5K]

Answer:

It would take the newer pump 4.5 hours to drain the pool

Step-by-step explanation:

Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:

older pump: if it takes it 9 hours to complete the job, it does $\frac{1}{9}$ of the job in one hour.

newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed $\frac{1}{x}$ of the total job.

both pumps together: since it takes both 3 hours to complete the job, in one hour they do $\frac{1}{3}$ of the job.

Now, we can write the following equation about fractions of the job done:

The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together. That is in mathematical terms:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3}$

and solving for x:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3} \\x+9=3x\\2x=9\\x=\frac{9}{2} \,\,hours\\x = 4.5\,\,hours$

4 0

3 years ago

pls help me on this lol i tried putting 2 in but that isn't right so 2 isn't the right answer pls helpppp

kkurt [141]

Answer:

Step-by-step explanation:

The correlating sides are similar meaning;

8/x = 16/4

using cross multiplication you will get;

16x = 32

which simplifies to;

x = 2

3 0

3 years ago