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3 years ago

If a rectangle measures 12 meters by 16 meters, what is the length, in meters, of the diagonal of the rectangle?

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

Answer: it’s 20m long

Step-by-step explanation:

I can’t explain .—.

Sveta_85 [38]3 years ago

3 0

Answer:

20 meters

multiply the length by itself then multiply the width by itself then add them together then the square root of the total is the diagonal length.

step-by-step explanation :

16 x 16 = 256

12 x 12 = 144

256 + 144 = 400 sq rt = 20

Answer. The diagonal length is 20 meters

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How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0

3 years ago

Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first

Oksi-84 [34.3K]

Answer:

Runners that decrease times are not improving

Step-by-step explanation:

4 0

3 years ago

Julie buys a pair of jeans that cost $39. If they have a 25% discount, what is the sale price of the jeans?

NISA [10]

Answer:

$29.25

Step-by-step explanation:

39 x .25 = 9.75

39 - 9.75 = 29.25

5 0

2 years ago

Solve for x. 83 = 35^x Express the answer to the hundredths place (i.e., two digits after the decimal point). x =

devlian [24]

Answer:

x = 1.24

Step-by-step explanation:

In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:

$ln(83)=ln(35)^x$

We can bring the x down in front to give us:

ln(83) = x ln(35)

The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:

$\frac{ln(83)}{ln(35)}=x$