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1 year ago

Judging by appearance, is it reasonable to say that the figures below are similar? How do you know?

Mathematics

1 answer:

mamaluj [8]1 year ago

4 0

Answer:

Step-by-step explanation:

the proportions all seem to stay the same, so while the second figure is smaller, all parts of the figures seem to follow the same scaling factor.

there are 8 isoceles triangle "rays" emanating from a central circle in both figures. so, also the main characteristics are the same.

the smaller figure appears rotated compared to the other.

so, it was rotated and then dilated (or vice versa, as the sequence of these 2 operations is irrelevant).

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A semicircle has an area of 76.97 squared km. Find it’s radius

shtirl [24]

Answer:

7 km

Step-by-step explanation:

Substitute:

The equation for area of a semi-circle is $\frac{r^{2}\pi }{2}$

A = $\frac{r^{2}\pi }{2}$

76.97 = $\frac{r^{2}\pi }{2}$

Multiply by 2 on both sides:

2(76.97) = ( $\frac{r^{2}\pi }{2}$ )2

153.94 = $r^{2} \pi$

Divide by pi on both sides:

153.94 = $r^{2} \pi$

/pi /pi

49.03 ≈ $r^{2}$

Find the square root:

$\sqrt{49.03} =\sqrt{r^{2} }$

7 = r

7 0

2 years ago

Mikoto graphed (shown below) the relationship between the temperature (in °C) and her cat's change in

aivan3 [116]

Answer:

Point a tells us at 9 degrees Celsius mikoto cat lost 2 g

Step-by-step explanation:

Thank you hope this helps❤

8 0

2 years ago

Read 2 more answers

If x divided by 9 = 1, how do you know what x is

padilas [110]

X/9=1

Multiply both sides by 9. So x=9.

6 0

3 years ago

Read 2 more answers

I need to know exactly how to write "find the equation of the line below"

MAVERICK [17]

Answer:

y = -4/5x + 14/5

Step-by-step explanation:

Point (6,-2) and (-4,6)

Slope = (6- - 2) / (-4-6) = 8 / -10 = - 4/5

(The slope is negative because La línea is going downhill. Uphill is positive)

You can also find the slope in the graph: rise/run.

y-intersect (any point)

Point (6, -2) (any point)

y-Intercept: -2 - (-4/5)(6) = -2 + 24/5 = 14/5

8 0

2 years ago

Read 2 more answers

Help algebra 2 please

kati45 [8]

Answer:

Step-by-step explanation:

(f*g)(x) = (-5x² + 2x + 7) (x +1)

= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)

= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7

= -5x³ + 2x² + 7x - 5x² + 2x + 7

= - 5x³ + <u>2x² -5x²</u> <u>+ 7x + 2x </u>+7 {Combine like terms}

= -5x³ - 3x² + 9x + 7

4) (f*g)(x) = (x² + 2x + 4)(x - 2)

= x*(x² + 2x + 4) - 2*(x² + 2x + 4)

= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4

= x³ + 2x² + 4x -2x² -4x - 8

= x³ - 8

$2) Speed=\dfrac{distance}{time}\\\\\\= \dfrac{d(h)}{t(h)}\\\\= \dfrac{2\sqrt{h}}{3\sqrt{4h}}=\dfrac{2*\sqrt{h}}{3*2\sqrt{h}}\\\\\\=\dfrac{1}{3}$

$1)d(h) = \sqrt{16h^{4}}=\sqrt{2*2*2*2*h*h*h*h}=2*2*h*h=4h^{2}\\\\\\t(h) = 3h^{4}-3h^{3}-5h^{2}= h^{2}(3h^{2}-3h - 5))\\\\Speed=\dfrac{4h^{2}}{h^{2}(3h^{2}-3h-5)}\\\\=\dfrac{4}{3h^{2}-3h-5}$

7 0

2 years ago