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FinnZ [79.3K]
3 years ago
10

What is the area of the composite figure?

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0

Answer:

745.4 cm^2

Step-by-step explanation:

The composite figure is made up of a rectangle 25 cm by 20 cm and a semicircle of radius 12.5 cm.

We add the two areas to find the total area.

total area = area of rectangle + area of semicircle

TA = LW + (1/2)(pi)r^2

TA = (25 cm)(20 cm) + (1/2)(3.14159)(12.5 cm)^2

TA = 500 cm^2 + 245.4 cm^2

TA = 745.4 cm^2

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Calculus<br> The following curve passes through (3,1)<br> Using linear lineralization
Novay_Z [31]

Answer:

Option 1.1

Step-by-step explanation:

The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula

F(x) \approx F(x_0) + F'(x_0)(x-x_0)

The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables

2x^2y+y=2x+13

Differentiating with respect to x, we have

4xy+2x^2y'+y'=2

Computing y' in the given point (3,1) we have

4(3)(1)+2(9)y'+y'=2

y'=\frac{2-12}{19}

y'=-\frac{10}{19}

The function will be approximated with the expression

F(x) = 1 -\frac{10}{19}(x-3)

To find the approximate value for x=2.8

F(2.8) = 1-\frac{10}{19}(-0.2)=1.1

The correct value is the option 1.1

6 0
3 years ago
Martha has 3 cards but she wants more.if she makes 5 cards an hour, how many cards will she have after 6 hours?
Genrish500 [490]

Answer:

5x6=30

30+3=33

i think that's the answer

Step-by-step explanation:


8 0
3 years ago
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What is the slope of the line graphed below​
bonufazy [111]
1/5 the slop is the rise over run
3 0
3 years ago
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Why is exponential functions important to know when owning a business ?
Ronch [10]

Answer:

You need to know your math!

Step-by-step explanation:

If your gonna start a business you have to know your math, sure you can hire people but people work for cash, so when you start out on your own with your business you need to know your math so you can keep the business running. Hope this helps! :)

4 0
3 years ago
Justin spends $21.75 on 6 rides and three sodas for his friends. Jerry spends $39.50 on 10 rides and 6 sodas for his friends. Ho
SIZIF [17.4K]
R = rides
S = sodas

6R + 3S = $21.75 —> -12R - 6S = -43.5
10R + 6S = $39.50–>10R + 6S = 39.5

Multiplying Justin’s whole equation by -2 will bring out the 6S’, so we can focus on the cost of one ride.

-2R = -4
Divide both sides by -2
So for one ride, it would cost $2.

To find the cost for one soda, we plug in the cost for a ride.

6(2) + 3S = $21.75
12 + 3S = $21.75
3S = $9.75
So for one soda, it would cost $3.25.
8 0
3 years ago
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