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3 years ago

A model length of 12cm. Represents an actual length of 102 ft. What is the scale for the model

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

102 ft = 12 cm1224 in = 12 cm1 in = 0.00980 cm

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3. What three numbers are the Pythagorean triple generated by using 4 for x and 1 for y. Remember to use the formulas:

Gnom [1K]

Given:

The three equations for the three numbers are

$a=x^2-y^2$

$b=2xy$

$c=x^2+y^2$

To find:

The Pythagorean triple generated by using 4 for x and 1 for y.

Solution:

Substituting x=4 and and y=1 in the given equations, we get

$a=4^2-1^2$

$a=16-1$

$a=15$

In the same way find b and c.

$b=2(4)(1)$

$b=8$

The third number is

$c=4^2+1^2$

$c=16+1$

$c=17$

The required Pythagorean triple is 8, 15, and 17.

Therefore, the correct option is C.

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3 years ago

If the point x,sqrt(3)/2 is on the unit circle. What is x?

sattari [20]

Check the picture below.

if you check your Unit Circle, it'd be there.

6 0

3 years ago

Read 2 more answers

What is the center of the circle described by the equation (x - 2)^2 +(y + 7)^2 =169

Marizza181 [45]

Answer:

The center is (2, -7)

Step-by-step explanation:

A circle is given by

(x-h)^2 + (y-k)^2 = r^2

where(h,k) is the center and r is the radius

(x - 2)^2 +(y + 7)^2 =169

(x - 2)^2 +(y - -7)^2 =13^2

The center is (2, -7) and the radius is 13

4 0

3 years ago

Use Gauss-Jordan elimination to nd the general solution for the following system of linear equations: z2 + 3z3 ???? z4 = 0 ????z

nirvana33 [79]

Answer:

Step-by-step explanation:

Solution is attached below

6 0

3 years ago

Create an exponential to describe $100 at 2% interest, compounded annually, for x years. y=100(.98)^x y=100(.8)^x y=100(1.2)^x y

zysi [14]

The exponential to describe $100 at 2% interest, compounded annually, for x years is $y=100(1.02)^{x}$

<h3><u>Solution:</u></h3>

Given that $ 100 at 2 % interest , compounded annually for "x" years

<em><u>The formula for compound interest, including principal sum, is:</u></em>

$A=P\left(1+\frac{r}{n}\right)^{n t}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here in this sum,

P = $ 100

$r = 2 \% = \frac{2}{100} = 0.02$

number of years = x

Here given that compounded annually , so n = 1

Let "y" be the amount after "x" years

Substituting the values in formula we get,

$\begin{aligned}&y=100\left(1+\frac{0.02}{1}\right)^{1 \times x}\\\\&y=100(1+0.02)^{x}\\\\&y=100(1.02)^{x}\end{aligned}$

Thus the exponential to describe is $y=100(1.02)^{x}$

5 0

3 years ago