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3 years ago

Geometry Homework... Have been absent and trying to catch up. Any help is appreciated :)

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

B because you need to know if those angles are congruent

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What is 36 to 21 ratio in simplest form?

OLga [1]

36:21 in simplest form is 12:7, because 3 goes into both 36 and 21. Simplifying ratios is essentially the same thing as simplifying fractions. Once we have 12:7, we can't reduce any further, because 7 is prime.

Hope this helps!

7 0

3 years ago

Express p in terms of q if

Irina-Kira [14]

$p=x^2+\dfrac{1}{x^2}\\\\p=\dfrac{x^4}{x^2}+\dfrac{1}{x^2}\\\\p=\dfrac{x^4+1}{x^2}\qquad(*)$

$q=x+\dfrac{1}{x}\\\\q=\dfrac{x^2}{x}+\dfrac{1}{x}\\\\q=\dfrac{x^2+1}{x}\qquad\text{square both sides}\\\\q^2=\left(\dfrac{x^2+1}{x}\right)^2\\\\q^2=\dfrac{(x^2+1)^2}{x^2}\qquad\text{use}\ \ (a+b)^2=a^2+2ab+b^2\\\\q^2=\dfrac{(x^2)^2+2(x^2)(1)+1^2}{x^2}\\\\q^2=\dfrac{x^4+2x^2+1}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+\dfrac{2x^2}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+2\qquad\text{subtract 2 from both sides}\\\\q^2-2=\dfrac{x^4+1}{x^2}\\\\\text{From (*) we have}\\\\\boxed{p=q^2-2}$

8 0

3 years ago

8x-29 + 6x-11 + 3x-1 solve for x

elena-s [515]

Answer:

Step-by-step explanation:

I need help on this too.

5 0

3 years ago

Read 2 more answers

One canned juice drink is 25% orange juice another is 10% orangw juice. How many liters of each should be mixed together in orde

Vsevolod [243]

Answer:

There should be 10 l of 25% orange juice and 5 l of 10% orange juice.

Step-by-step explanation:

Let the amount of the 25% orange juice be "x", while the amount of the 10% one be "y". The sum of these must be equal to 15 l, therefore:

$x + y = 15$

The sum of the concentration of juice on each can must be equal to the final product, therefore:

$25\%*x + 10\%*y = 15*20\%\\0.25*x + 0.1*y = 3$

We can now solve the system of equations as shown below:

$\left \{ ({{x + y=15})*(-0.1) \atop {0.25*x + 0.1*y=3}} \right. \\\left \{ {{-0.1*x - 0.1*y=-1.5} \atop {0.25*x + 0.1*y=3}} \right. \\-0.1*x + 0.25*x = 3 - 1.5\\0.15*x = 1.5\\x = \frac{1.5}{0.15} = 10\\y = 15 - x = 15 - 10 = 5$

There should be 10 l of 25% orange juice and 5 l of 10% orange juice.

4 0

3 years ago

Please help me. i really need this grade

Elodia [21]

So we have to put the value of 1:3 in a ratio

1 : 3
= 3:y

Ask yourself what do I have to multiply one by to get three ( the answer is three)
Because one side is multiplied by three, you have to multiply the right hand side by three to get y
3*3 is 9

Therefore, the y for 3 hours is 9

Then, we have to make another ratio
1:3
= 5:x

Ask yourself what do I have to multiply by one to get five (the answer is five)
So you multiply the other side by five as well
3*5=15

Therefore, the y for five hours is 15

3 0

3 years ago