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musickatia [10]
3 years ago
12

Find the area of this figure

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

a = 16.13 ft²

Step-by-step explanation:

Triangle

a = (1/2)bh

a = (1/2)6 * 4

a = 12

Semicircle

a = (1/2)πr²

a = (1/2)(3.14)(3²)

a = 14.13

Combined figure

a = 12 + 14.13

a = 16.13 ft²

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Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx
geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

#SPJ1

3 0
2 years ago
A metal strip is being installed around a workbench that is 5 feet long and 3 feet wide. Find how much stripping is needed.
Ksivusya [100]
<span>The workbench represents a rectangle with two sides 5 feet long each and two sides 3 feet wide each. The perimeter of said rectangle is the sum of the four sides or 5 + 5 + 3 + 3 for a total of 16 feet. therefore the amount of metal tape required is 16 feet.</span>
6 0
3 years ago
Which inequality is true use the number line to help​
Nata [24]

Answer:

-3 1/2 > -4.5

Step-by-step explanation:

1.5 > 2 1/2 False

1/2 > 0.5 False

-2.5 > -1.5 False

-3 1/2 > -4.5 True

1.5 > 2 1/2

1/2 = 0.5

2 + 0.5 = 2.5

1.5 is not > 2.5

1.5 < 2.5

1/2 > 0.5

1/2 = 0.5

0.5 is not > 0.5

0.5 = 0.5

-2.5 > -1.5

Negative numbers are oposite of positive numbers when using inequalities. Just as 0 < 1, -1 < 0.

-2.5 is not > -1.5

-2.5 < -1.5

-3 1/2 > -4.5

1/2 = 0.5

3 + 0.5 = 3.5

-3.5 > -4.5

7 0
4 years ago
Read 2 more answers
Guys, Can you please help me with these questions
MakcuM [25]

Answer:

a) w^{13} x^{5} y^{6}

b) \frac{x}{3y^{6} }

Step-by-step explanation:

a) (w^{2} xy^{3} )^{2}(w^{3}x )^{3}

1. Distribute the second power (2) outside the first pair of parenthesis:

(w^{2(2)} x^{2} y^{3(2)} )

= w^{4} x^{2} y^{6} (w^{3}x )^{3}

2. Distribute the third power (3) outside the second pair of parenthesis:

(w^{3(3)} x^{3} )

= w^{4} x^{2} y^{6} w^{9} x^{3}

3. Combine like terms:

w^{13} x^{5} y^{6}

--------------------------------------------

b) \frac{2x^{2} y^{5} }{6xy^{11} }

1. Factor the number 6 (= 2 · 3):

\frac{2x^{2} y^{5} }{2(3)xy^{11} }

2. Cancel the common factor (2):

\frac{x^{2} y^{5} }{3xy^{11} }

3. Cancel out xy^{5} in the numerator an denominator:

\frac{x}{3y^{6} }

hope this helps!

4 0
2 years ago
What is the difference of two numbers is 1 and their product is 56​
den301095 [7]

Answer:

8 and 7

Step-by-step explanation:

8 -7 = 1

8*7 = 56

7 0
3 years ago
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