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gizmo_the_mogwai [7]

3 years ago

6

Plz help really easy but don't guess asap plz

1 answer:

german3 years ago

8 0

1.Never, 2 never, 3.always

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A) The hypotenuse of a right angled triangle is 15 cm. Taking the

Anastasy [175]

a) By Pythagoras theorem , h^2 is = a^2 + b^2 where a is the hypotenuse and a and b are the legs.

=) 15^2 = x^2 + y^2

That is the relation

b) area of triangle = 1/2 x height x base

=) 1/2 * x * y = 30

=) xy = 15cm

3 0

2 years ago

Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b

Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

$(x + 9) {}^{5}$

write 5 as a sum

$(x + 9) {}^{3 + 2}$

$use \: a {}^{m + n} = a {}^{m} \times a {}^{n} to \: expand \: the \: expression.$

$(x + 9) {}^{3} \times (x + 9) {}^{2}$

Use (a+b)³=a³+3a²b+b³ to expand the expression

$(x {}^{3} + 27x {}^{2} + 243x + 729) \times (x + 9) {}^{2}$

Use (a+b)²=a²+2ab+b² to the second expression to expand it

$(x {}^{3} + 27x {}^{2} + 243x + 729) \times(x {}^{2} + 18x + 81)$

Finally, simplify the expression gives

$x {}^{5} + 45x {}^{4} + 810x {}^{3} + 7290x {}^{2} + 32805x + 59049$

Hope it helps!

3 0

2 years ago

Read 2 more answers

A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish

nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

$a = 150$ --- initial

$r = 8\%$ -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

$y = ab^x$

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

$b = 1 - r$

So, we have:

$b = 1 - 8\%$

Express as decimal

$b = 1 - 0.08$

$b = 0.92$

In $y = ab^x$

$a =150$

$y = 30$

$b = 0.92$

So, we have:

$30 = 150 * 0.92^x$

Divide both sides by 150

$0.2 = 0.92^x$

Take log of both sides

$log(0.2) = log(0.92^x)$

Apply law of logarithm

$log(0.2) = x\ log(0.92)$

Make x the subject

$x = \frac{log(0.2)}{log(0.92)}$

$x = \frac{-0.6990}{-0.0362}$

$x = 19.309$

$x \approx 19$

<em>Hence, it takes approximately 19 days</em>

3 0

2 years ago

Which is the longest 2 km 25m 2500 cm or 3000 mm

MAVERICK [17]

2km=2 kilometer
kilo=1000 so 2 km=2000m

25m

2500cm
cm=centimeter=1/100 of a meter
so
2500cm=25m

mm=milimeter=1/1000 meter
so
3000mm=3m

so the longets is obviously 2000m or 2km

6 0

2 years ago

Read 2 more answers

Victor needs to calculate the number of miles per gallon his car averages. His car's gas tanks holds 15 gallons of gas. Write an

krek1111 [17]

Since you're looking for the unit rate, you can start do this:
$mpg= \frac{miles}{gallon}\\
y=\frac{x}{15}$
And yes, $15y=x$ is also correct, it's just switching around the 15

8 0

2 years ago

Read 2 more answers