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const2013 [10]
3 years ago
7

Question Find the perimeter of the figure to the nearest hundredth.

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

50.29in

Step-by-step instructions:

First find the semi-circular part:- 1/2×2πr

=1/2×2×22/7×9

=28.29

Find whole perimeter:- 28.29+5+5+12 = 50.29 in

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The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. How
Nadusha1986 [10]

See picture below for a geometric view.


Let x = height of building


We use basic trigonometry to find x.


The tangent function = opposite side of right triangle OVER adjacent side of right triangle.


tan(2°) = x/1


Solve for x.


After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.


We now use the calculator to find x.


In fact, you can take it from here. Use your calculator.


3 0
3 years ago
Factorise fully the following:<br> a) x² - 2x<br> b) 6x^2+ 12x<br> c) 3x^3- 9x<br> d) 4x^2+ 28x^3
mezya [45]

Answer:

a) x(x - 2)

b) 6x(x + 2)

c) 3x(x^2-3)

d)  (2x)(2x)(1+7x)

Step-by-step explanation:

8 0
3 years ago
Please Help Me!
alexdok [17]

Answer:

The answer to your question is below

Step-by-step explanation:

                 (2x⁴ + 7x³ - 3x + 9) - (6x⁴ - 3x³ - 6x² - 17)

Step 1. take out the parenthesis, in the second term, change the signs

                  2x⁴ + 7x³ - 3x + 9 - 6x⁴ + 3x³ + 6x² + 17

Step 2. Group like terms

                  (2x⁴ - 6x⁴) + (7x³ + 3x³) + (6x²) + (-3x) + (9 + 17)

Step 3. Simplify like terms

                          -2x⁴ + 10x³ + 6x² - 3x + 26

                 

3 0
3 years ago
a. For what values of x does f (x )equals 3 x plus 3 sine x have a horizontal tangent​ line? b. For what values of x does f (x )
laila [671]

Answer:

(a)Therefore the value of x=\pi

(b) Therefore the value of x =\frac{\pi}{2}

Step-by-step explanation:

Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.

(a)

Given function is,

f(x)= 3x+3sin x

Differential with respect to x

f'(x)=3+3cos x

For horizontal tangent line, f'(x)=0

3+ 3 cos x= 0

⇒3 cos x=-3

⇒cos x=-1

⇒x = 180° =\pi

Therefore the value of x=\pi

(b)

Given that, the slope is 3.

Then,f'(x)=3

3+ 3 cos x= 3

⇒3 cos x= 3-3

⇒cos x=0

⇒x = 90° =\frac{\pi}{2}

Therefore the value of x =\frac{\pi}{2}

5 0
3 years ago
Simplify the expression help, please<br> 275j+2.25-1.5j+3
Sunny_sXe [5.5K]

Answer:

273.5j+5.25

Step-by-step explanation:

first combine like terms 275j-1.5j. and then 2.25+3

3 0
3 years ago
Read 2 more answers
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