Here are two rectangles the two rectangles are similar and the scale factor is

Margaret [11]

$\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\$

$\text{Hence the area of square 3 is 400 units}^2.$

8 0

3 years ago

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Find the equation for a parabola if the vertex is 6,9

devlian [24]

The equation for a parabola with vertex (h, k) and vertical scale factor "a" is
y = a(x -h)² + k

One parabola with vertex (6, 9) is
y = (x-6)² +9

6 0

3 years ago

How many liters of soup will fit in this hemispherical pot <br> PlS help

m_a_m_a [10]

Answer:

3888pi cm^3 or 12214.5122372 cm^3

Step-by-step explanation:

To being, let's list out what we know

The volume of a sphere is

V = 4/3(pir^3)

But this is only half of a sphere, so the volume of it should be

V =2/3(pir^3)

With the diameter of the shape being

d = 36

We will first need to find the radius to use the formula above

r = d / 2

= 36 / 2

= 18

Now, let's start plugging in values

V = 2/3(pi18^3)

= 2/3 ( 5832pi)

= 3888pi or 12214.5122372

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

4 0

2 years ago

Please solve these two questions :) - Use the graphs to solve the equations provided.

harkovskaia [24]

Answer:

7.(1,0) and (-4,0)

8. (-3,0) and (-2,0)

Step-by-step explanation:

7.

When the function is equal to zero, we are looking for the zeros, or the x intercepts

Where it crosses the x axis are 1 and -4

(1,0) and (-4,0)

8. When the function is equal to zero, we are looking for the zeros, or the x intercepts

Where it crosses the x axis are -3 and -2

(-3,0) and (-2,0)

8 0

3 years ago

Read 2 more answers

You believe in the power of compounding and decide to save $1 per day by avoiding the purchase of a soda. You deposit the $1 at

Fiesta28 [93]

Answer:

option (c) $18,032

Step-by-step explanation:

Data provided in the question;

Amount deposited at the end of each day = $1

Interest paid = 8% compounded daily = 0.08

Daily interest rate = $\frac{\textup{0.08}}{\textup{365}}$ = 0.000219

Duration = 20 years = 20 × 365 days = 7300 days

Now,

the Future value is given as:

Future value = Part payment × $\frac{(1+r)^n-1}{r}$

here, r is the interest rate

n is the duration

thus,

Future value = $1 × $\frac{(1+0.0002192)^{7300}-1}{0.0002192}$

or

Future value = $18033.56 ≈ $18,032

Hence, the correct answer is option (c) $18,032

7 0

3 years ago