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Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

9^2+12^2=c^2

81+144=c^2

[tex]\sqrt{225[/tex]=c

15=c

The additional rats will live in this building one year from now is 3.41 x 10^5.

Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4

= 3.41 x 10^5

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Answer:

17.98

Step-by-step explanation:

We can use the sum of a finite geometric series formula(in the picture). We can start by plugging in what we have. As of now, we have the first term, 12 and by dividing a term by a previous term, we can tell that the common ratio, r is 1/3. Lastly, we can say that n is equal to 6, because we are looking for the sum of the first 6 terms. After substituting we get:

[tex]\frac{12 - 12*(\frac{1}{3})^6}{1-\frac{1}{3} }[/tex]

We can start by simplifying:

[tex]\frac{12-12(\frac{1}{729}) }{\frac{2}{3} }[/tex]

[tex]\frac{\frac{2916}{243} -\frac{4}{243} }{\frac{2}{3} }[/tex]

[tex]\frac{\frac{2912}{243} }{\frac{2}{3} }[/tex]

[tex]\frac{2912}{243}*\frac{3}{2}[/tex]

[tex]\frac{1456}{81}[/tex]

17.975308642

This can be rounded to 17.98

Answer:

Step-by-step explanation:

Given:

Find the sum:

Answer:

i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry

Step-by-step explanation:

if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2

hmmmm maybe the ans is D. 110

Answer:

In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).

Step-by-step explanation:

Answer:

129°

Step-by-step explanation:

Sum of supplementary angles = 180°

One angle = 51°

Other angles = 180° - 51°

                      = 129°

Plz mark as brainliest!!!!!

Answer: 50

Step-by-step explanation:

40% of 50 is 20.

We know that 20 of the 50 are plums.

below is just other bits of the problem

There's 30 fruit left.

We know that the ratio for peaches to apricots is 2:3.

If we add 2 and 3 together we get five.

Five divides into 30 six times.

Meaning, we could have 18 apricots, and 12 peaches.

Add all of these numbers together, and you get 18 apricots, 12 peaches, and 20 plums.

18 + 12 + 20 = 50

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Answer:

n = 3

Step-by-step explanation:

Divide both sides by 24:

n = 72 / 24

n = 3

Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D =  24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

Answer:

Step-by-step explanation:

[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]

Answer:

[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]

Step-by-step explanation:

I'm guessing

second one

removing some of the sentences

Answer:

changing the sentence pattern

Step-by-step explanation:

I hope you have a great day :)

Answer:

4, 64

Step-by-step explanation:

y = [tex]4^{1}[/tex] = 4

y = [tex]4^{3}[/tex] = 64

Answer:

$4,255.557336768

Step-by-step explanation:

I think.

Answer:

[tex]5x + 8y = - 12 - - - (a) \\ 3x + 5y = - 7 - - - (b) \\ 3\times (a) - 5 \times (b) : \\ = > 0x - y = - 1 \\ y = 1 \\ 3x + 5 = - 7 \\ 3x = - 12 \\ x = 4 \\ { \boxed{x = - 4}} \\ { \boxed{y = 1}}[/tex]

Answer:

i remember doing this but i forgot the answers

Step-by-step explanation:

sorry :(

Answer:

0,0 means the origin so put place it on the origin.

Answer:

$18.00

Step-by-step explanation:

Start by working out 10%, that's easy:

15 ÷ 10 = 1.5

That means a 10% tip would be $1.50, so a 20% tip would be twice that amount:

1.50 x 2 = 3

A 20% tip is $3.00, and added on to the original $15.00, the total is $18.00

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

f = 24

----------------------------------------------------------------

Using the cosine ratio and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

e = 12[tex]\sqrt{3}[/tex]

Answer:

F=24 and e=12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Answer:Jenny has 15 favorite toys

Step-by-step explanation:

Jenny has 3 times as many new toys as she has favorite toys means that the ratio of new toys to favorite toys can be written as 3:1

Total Ratio=3+1=4

Since the total number of toys is given as 60

Amount of Favorite toys = ratio of favorite toys / Total ratio x Total number of toys

Amount of Favorite toys = 1/4 x 60=15

Therefore Jenny has 15 favorite toys.

Answer: 18

Step-by-step explanation:

I just found the number in between  

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{4(32)}[/tex]

= [tex]\sqrt{128}[/tex]

= [tex]\sqrt{64(2)}[/tex]

= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex]

Answer:

(6)-15

=

simplified to 9.

Answer:

There are 72 girls

Step-by-step explanation:

3/5 = 60%

So 60% of 120 is 72

Hope this helps!

Answer:

19 and 91

Step-by-step explanation:

The eight pair (81,18) and 63 is result. The ninth pair(91,19) and finally answer is "72". Here, we get the pair (91,19) in which we get 2 at unit place digit and 19 and 91 are the lowest possible numbers of hous

Answer:

sure

Step-by-step explanation:

Answer:

Children tickets = $9

Adult tickets= $6

Answer:

$200

Step-by-step explanation:

200/5=40

40x5=200

To solve, you multiply the interest by the interest rate

This gets you the total. The interest is also seperate amount so he now has $240

Answer:

B. y = 4x2

Step-by-step explanation:

Answer: The quadratic function y=4x^2 has the narrowest graph.

Answer:

Step-by-step explanation:

yes

Answer:

9.3 inches

Step-by-step explanation:

The computation of the radius of the spinner be given below:

Let us assume the same be x

So

We know that

Total area of the sector = one-sixth of the total area of the spinner

Given that

45.1 =  1 ÷ 6 × π × r^2

r^2 = 45.1 × 6 ÷ π

r^2 = 86.1

r = 9.279

= 9.3 inches

If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Given that the radius of the circle is 5 cm and central angle is 80°.

We are required to find the area of the shaded region.

The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.

Area of circle=π[tex]r^{2}[/tex]

=3.14*25

=78.5 [tex]cm^{2}[/tex]

Area of the arc =([tex]r^{2}[/tex]Θ)/2

=(25*80π)/2*180

=(25*80*3.14)/360

=6280/360

=17.44

Area of the shaded region=78.5-17.444

=61.056

After rounding off to the nearest tenth it will be as under:

=61.06

Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

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