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3 years ago

A sequence has the recursive definition f(1)= 2/3, f(n)= f(n-1)•

1 answer:

8 0

Answer:

Explanation:

f(3) = (3 - 1) • 3/2
f(3) = 2 • 3/2
f(3) = 3

f(4) = (4 - 1) • 3/2
f(4) = 3 • 3/2
f(4) = 9/2

f(5) = (5-1) • 3/2
f(5) = 4 • 3/2
f(5) = 6

f(6) = (6-1) • 3/2
f(6) = 5 • 3/2
f(6) = 15/2

f(7) = (7-1) • 3/2
f(7) = 6 • 3/2
f(7) = 9

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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.

5 0

2 years ago

A farm lets you pick 3 pints of raspberries for $12.00. Use decimal notation if necessary.

kap26 [50]

Answer:

a=$4.00, B=1/4 a pint per dollar, c= 5

Step-by-step explanation:

8 0

2 years ago

Simplify.<br><br> (2m^3n^2)^5

pashok25 [27]

10m15n10 because you just multiply everything by 5

6 0

3 years ago

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , the

sveticcg [70]

Answer:

<h3>The volume of the prism is cubic $\frac{105}{512}$ centimeters.</h3><h3>Step-by-step explanation:</h3><h3>Given that a rectangular prism has the following dimensions:</h3><h3> $length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}$ </h3><h3>We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by</h3><h3> $V=w*h *l.$ </h3><h3>Therefore, the volume of the given prism will be</h3><h3> $V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.$ </h3><h3>Thus, the volume of the prism is $\frac{105}{512}$ cubic centimetres.</h3>

8 0

3 years ago

Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it?

Alenkinab [10]

Answer:

Step-by-step explanation:

We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.

The side of the missing length is:

a^+b^=c^

2^+4^=c^

4+16=c^

20=c^

$\sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c$

8 0

3 years ago