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3 years ago

Hellppp pleaseee Please be quick lol

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

20(pi)

Step-by-step explanation:

• equation for the circumference of a circle= 2(pi)r

• You are given the diameter ( 20ft) but you need the radius (r) for the equation.

• divide 20 by 2 to get the radius since it is half of the diameter.

• 20/2=10 so c= 2(pi)(10)

• 2(10)=20

• plug in pi and your final answer is 20(pi)

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|z - 1| = 7z - 13 solve this equation and check for extraneous solutions

Tema [17]

$|z - 1| = 7z - 13$
either:
$z - 1 = 7z - 13$
and in that case:
$- 1 + 13 = 7z - z$
$12 = 6z$
$z = 12 \div 6 = 2$
or:
$z - 1 = - 7z + 13$
and in that case
$z + 7z = 13 + 1$
$8z = 14$
$z = 14 \times 8 = 1.75$
So; the answer is: either 2 or 1.75

8 0

3 years ago

Read 2 more answers

The side of cube is 3m 30cm long, find out its volume

Anettt [7]

90 volume because 3 multiples by 30 = 90

7 0

2 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

The house numbers on the north side of Flynn Street are even. In one block, the house numbers begin 1022, 1032, 1042, and 1052.

never [62]

Answer:

6 houses away

Step-by-step explanation:

You can write down the house numbers and count them:

1032, 1042, 1052, 1062, 1072, 1082

1082 is the 6th house from where Taylor is.

___

You can also recognize that (1082 -1022)/10 = 60/10 = 6 is the number of houses away from the house at 1022.

4 0

3 years ago

What set of three numbers could represent the lengths of the side of a right triangle?

klemol [59]

Answer:

C.) 5, 12, 13

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).

a² + b² = c²

We can test each set of numbers to see which one fits.

A.) 8² + 12² = 16²

64 + 144 = 256

208 ≠ 256

B.) 6² + 7² = 8²

36 + 49 = 64

85 ≠ 64

C.) 5² + 12² = 13²

25 + 144 = 169

169 = 169

The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.

D.) 16² + 32² = 36²

256 + 1024 = 1296

1280 ≠ 1296

7 0

3 years ago