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3 years ago

8

I need help. please show your work!

2 answers:

vodomira [7]3 years ago

8 0

X = 10 * 3^n
*************************************************************

tresset_1 [31]3 years ago

4 0

Exponential function has form y = a(b)^x

we see that when x = 0, then y = 10. Substitute those values to solve for an unknown

10 = a(b)^0

since b^0 is 1 we are left with a = 10.

we have y = 10(b)^x

to find b, use another point on the table. when x = 1, y = 30 so

30 = 10(b)^1
30 = 10b
b = 30/10
b = 3

function: y = 10 · (3)^x

(can also notice that y-values are all being mutliplied by 3)

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Step-by-step explanation:

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2 years ago

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2 years ago

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

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