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suter [353]
3 years ago
7

SOMEONE SMART PLEASE HELP ME!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?​

Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer:

The base of the rectangle is 21 mm.

Step-by-step explanation:

Given that a rectangle's area is 336 mm, and its height is 16 mm, to determine what is the measure of its base, the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its base by its height:

16 x X = 336

X = 336/16

X = 21

Therefore, the base of the rectangle is 21 mm.

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Find all the solutions of the given equations in the interval [0,2pi) tan^3x=tanx and cos 3x=-cos3x
slamgirl [31]
\tan^3x=\tan x
\tan^3x-\tan x=0
\tan x(\tan^2x-1)=0
\tan x(\tan x-1)(\tan x+1)=0
\begin{cases}\tan x=0\\\tan x-1=0\\\tan x+1=0\end{cases}

\tan x=\dfrac{\sin x}{\cos x}=0\implies \sin x=0\implies x=0,\pi

\tan x-1=0\iff\tan x=1\implies x=\dfrac\pi4,\dfrac{5\pi}4

\tan x+1=0\iff\tan x=-1\implies x=\dfrac{3\pi}4,\dfrac{7\pi}4

- - -

\cos3x=-\cos3x
2\cos3x=0
\cos3x=0\implies 3x=\dfrac\pi2,3x=\dfrac{3\pi}2\implies x=\dfrac\pi6,x=\dfrac\pi2

This doesn't account for all the solutions, however; there are some values of x that push 3x outside the interval [0,2\pi), so let's take a few more:

3x=\dfrac{5\pi}2\implies x=\dfrac{5\pi}6
3x=\dfrac{7\pi}2\implies x=\dfrac{7\pi}6
3x=\dfrac{9\pi}2\implies x=\dfrac{9\pi}6
3x=\dfrac{11\pi}2\implies x=\dfrac{11\pi}6

We can stop there, since the next candidate gives

3x=\dfrac{13\pi}2\implies x=\dfrac{13\pi}6>2\pi
7 0
3 years ago
Which pair shows equivalent expressions?
deff fn [24]
A, and C
Hope this helped!
7 0
3 years ago
Read 2 more answers
(-10,4), point on circle: (4,-2)
Klio2033 [76]

Answer:

if this is what you are asking... all you have to do is post those exact coordinates on the graph. :)

Step-by-step explanation:

3 0
4 years ago
Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma
levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = \dfrac{1}{4}

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = \dfrac{1}{2}

Let 't' be the time taken by both of them working together , then we have the following equation:-

\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}

Since 1 hour = 60 minutes

Then, \dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0
4 years ago
How do u solve this need answers
Ket [755]

By splitting the shape into a semi-circle and rectangle, we can see that we have a semi-circle with a diameter of 14 cm and a rectangle with dimensions of 28 cm by 15 cm. To find the area of the entire shape, we can add the areas of the two shapes up.


We can find the area of the semi-circle using the formula \frac{\pi r^2}{2}, where r is the radius of the semi-circle. In this case, the area would be:

\dfrac{\pi (14)^2}{2} = \dfrac{196\pi}{2} = 98 \pi \,\,\textrm{cm}^2


The formula for the area of a rectangle is lw, where l is the length of the rectangle and w is the width. In this case, the area would be:

(28)(15) = 420 \,\,\textrm{cm}^2


Thus, the area of the total shape is:

98 \pi \,\,\textrm{cm}^2+ 420 \,\,\textrm{cm}^2 \approx \boxed{727.88 \,\,\textrm{cm}^2}

6 0
3 years ago
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