Use the distributive property to write an expression that is equivalent to 9(c+5

Answer:

5.4 is the length

Step-by-step explanation:

5.333 - (12√5)/5 - round to nearest hundreth (5.4)

length total 5.4

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The length of the smaller leg is 3.8 unit.

Pythagoras theorem states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.

[tex]c^{2} = a^{2} + b^{2}[/tex]

Let the length of the leg be b and a.

According to the given question.

We have a rigth triangle which have congruent legs.

And hypotenuse, c = [tex]\frac{12\sqrt{5} }{5}[/tex]

Since, the legs are congruent.

Therefore,

a = b

Now, according to the Pythagoras theorem.

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]\implies c^{2} = a^{2} + a^{2}[/tex]

[tex]\implies c^{2} = 2a^{2}[/tex]

[tex]\implies (\frac{12\sqrt{5} }{5} )^{2} = 2a^{2}[/tex]

[tex]\implies \frac{144\times 5}{25} = 2a^{2}[/tex]

[tex]\implies \frac{144}{5} = 2a^{2}[/tex]

[tex]\implies \frac{72}{5} = a^{2}[/tex]

[tex]\implies a = \sqrt{\frac{74}{5} }[/tex]

[tex]\implies a = \sqrt{14.8}[/tex]

[tex]\implies a = 3.84[/tex]

[tex]\implies a = 3.8[/tex] unit

Hence, the length of the smaller leg is 3.8 unit.

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Answer:

10

Step-by-step explanation:

Answer:

x+63=90(complementary angle)

x=90-63

x=27

Answer:

D=24

Step-by-step explanation:

y inversely as x

x=k/y

By cross multiplication

k=xy

k=12*6

k=72

finding y

72=3y

y=24

The value of y given the inverse proportional relationship between the variables is b24.

When two variables vary inversely, as one of the variable increases, the other variable decreases.

The equation that represents inverse proportion : x = k / y

where b = constant of proportionality

k = xy

k = 12 x 6 = 72

y = k / x

72 / 3 = 24

To learn more about inverse proportion, please check: https://brainly.com/question/27233899

Answer:

2pi

2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Answer:

fnndmd

Step-by-step explanation:

cnbbzbznznzxjjdjdjdkkxkxnxndnxnxnxnnxnxjxjxnxkxkxkkxmxmzmzmzmxmxmbald mfmd

Answer:

c=57.8

Step-by-step explanation:

6*7+4=46

5*7=35

c= 46^2+35^2=57.80138

Answer:

[tex]P(C\ or\ D) = 1[/tex]

Step-by-step explanation:

Given

[tex]P(C) = \frac{3}{7}[/tex]

[tex]P(D) = \frac{4}{7}[/tex]

Required

[tex]P(C\ or\ D)[/tex]

Since the events are mutually exclusive, then:

[tex]P(C\ or\ D) = P(C) + P(D)[/tex]

So, we have:

[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]

Take LCM

[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]

[tex]P(C\ or\ D) = \frac{7}{7}[/tex]

[tex]P(C\ or\ D) = 1[/tex]

Answer:

Step-by-step explanation:

in A , because we are multiplying a number by the same number in each case, 10.6  we know, that the 3  as compared to the 2.7 , will make a bigger number 3*10.6  is greater than  2.7 * 10.6    ,  it's just a quick way to make sure our answer is good

in B,  as above, we know that 2.7*10.6 will be less than 3*10.6      see?

Answer:

Volume

Step-by-step explanation:

The amount of water that fits in a fish tank represents the Volume of the fish tank.

When you pour water, it occupies the space and the weight of the tank increases. So, it represent the volume

Answer:

this should help you understand...

Step-by-step explanation:

Answer:

10pi feet

Step-by-step explanation:

The formula for arc length (degrees) is: 2pi x radius x angle/360

2pi x 30 x 60/360

60pi x 1/6

10pi

Answer:

-5

Step-by-step explanation:

Answer:

C. Alternate Interior angles.

Step-by-step explanation:

Alternate interior angles are inside parallel lines, and on opposite sides of the transversal line that crosses the parallel lines.

It's not A, because corresponding angles are in the same position on parallel lines. Angles 2 & 6 are corresponding angles. It's not B, because the two are not next to each other, forming a straight line. 6&7 are straight angles, and 5&6 are straight angles.

Answer:

Square root of 13

Step-by-step explanation:

distance between two points = under root (x2-x1)^2 + (y2-y1)^2

here, (x1,y1)=(4,-5) & (x2,y2)=(6,-2)

Substitute values and finally you can get it..

Answer:

12, sorry if I'm wrong

Step-by-step explanation:

hope it helps

Answer:

Both are correct

Step-by-step explanation:

Tan = Opposite / Adjacent

Tan A = 3/4....... therefore she is correct

Tan C = 4/3........therefore she is also correct

Answer:

C.

Step-by-step explanation:

Frosted:

6*6*6+10*10*6

This equals 816

Not frosted:

6*6+10*10

This equals 136

Subtract

816-136= 680 sq inches

Answer:

4 tokens.

Step-by-step explanation:

The expected value of a given event is calculated as:

EV = (x₁*p₁ + x₂*p2 + ... + xₙ*pₙ)

Where xₙ is the n-th outcome, and pₙ is its probability.

In this case, our experiment is:

You draw two times.

We have 30 cards with no prize

We have 10 cards with a prize.

A total of 40 cards.

As we draw two times (and the first time we draw a card we put it back in the deck) we can consider the events as independent, so we can find the expected value per draw.

Now we can define:

x₁ = drawing a blank card = 0 tokens

The probability will be equal to the quotient between the number of blank cards and the total number of cards

p₁ = 30/40 = 3/4

x₂ = drawing a prized card = 8 tokens.

The probability will be equal to the quotient between the number of prized cards and the total number of cards:

p₂ = 10/40 = 1/4

Then the expected value per draw is:

EV = ( (3/4)*0 tokens + (1/4)* 8 tokens) = 2 tokens.

And we have two draws, then the expected value of two draws is two times the expected value per draw, this means that the expected value in our case is:

expected value = 2*(2 tokens) = 4 tokens.

The correct option is the first one, counting from the top.

Answer:

55

Step-by-step explanation:

a triangle adds up to 180°

25+30+x= 180

55+x=180

x=180-55

x=125

x and y is a straight line so it adds up to 180°

x=125 y=?

x+y=180

125+y=180

y=180-125

y=55°

y= 55°

Answer:

[tex]2+2=4[/tex] obviously...

Answer:

well it depends

Step-by-step explanation:

if you wanna be hallarius then 22 but the real mathmatics is 4

PLS GIVE BRAINLIEST

Answer:5470

Step-by-step explanation:The mean is the average of the data collected in the graph.Step one add everthing together which is 3,850+ 5,300+ 8,540+ 4,300+5,360=27,350, Step two divide 27,350 with the total amount of numbers that's in the graph which is 5 if you divide those two number together you will get on average 5,470.

Answer:

5

Step-by-step explanation:

because 5 is used for both numbers and that's why

Answer:

5x

Step-by-step explanation:

Both 10 and 15 have a HCF of 5

And both values have x in common

Answer: the answer is 8.0

Step-by-step explanation: what i do is 20*4 which is 80 and i just add the decimals back in hoped this helped :))

Answer:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used

Step-by-step explanation:

Answer:

$0.27

Step-by-step explanation:

In total, Kim has .68 cents to spend.

She spend .41 cents.

0.68-0.41=0.27

Therefore, Kim has a total of .27 cents left over.

Answer:

32

Step-by-step explanation: