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dem82 [27]
2 years ago
14

3. f(-4) - 3.9(-2) =

Mathematics
1 answer:
snow_lady [41]2 years ago
5 0

Answer:

Step-by-step explanation:

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Margarita [4]

<u>Answer</u><u> </u><u>:</u><u>-</u>

9(3+√3) feet

<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

<u>In ∆ABC , </u>

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3><u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
3 0
3 years ago
The length of a side of a cube is 4x units. In cubic
Sever21 [200]

Answer:

Option A. 64x^3

Step-by-step explanation:

From the question, we were able to obtain the following:

L = 4x

In cubic units,

Volume = L^3

Volume = (4x)^3

Volume = 64x^3

6 0
3 years ago
What is an example of when you would want consistent data and, therefore, a small standard deviation?
steposvetlana [31]

Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

\bar X=\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

8 0
3 years ago
I NEED ALL 3 ASAP IT CLOSES SOON
Norma-Jean [14]

Answer:

Slope is (-9/3 or) -3

Y-intercept is 4

Equation is y = - 3x + 4

Hope this helps!

4 0
3 years ago
The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 15 millimete
djverab [1.8K]
Take it apart mentally cylinder+2hemispheres 2hemispheres=2half spheres=1 sphere 15=radius of sphere+legnth of cylinder+radius of spehre diameter=5 d/2=5/2=r 15=2.5+legnth+2.5 10=legnth of cylinder surface area of sphere=4pir^2 surface area of cylinder (not including bases) is pidh sphere radius=2.5 SA=4pi2.5^2 SA=4pi6.25 SA=25pi SA=78.5 sphere area SA=5pi10 SA=50pi SA=157 add them 78.5+157=235.5 mm^2
3 0
3 years ago
Read 2 more answers
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