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Zarrin [17]
3 years ago
12

Please help. will mark brainliest. What is the value of x? Show all of your work.

Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

9 cm

Step-by-step explanation:

\sqrt{117} ^{2} - 6^{2}  = x^{2}

81 =x^{2}

\sqrt{81} = x

9 cm = x

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7 1/4 + 5 3/5= reduced to it's lowest form
Scrat [10]
7 1/4 + 5 3/5
First, you need a common denominator to add the two. 20 will work.
4x5=20, so we have to also multiply 1 by 5.
4x5=20, 1x5=5
5x4=20, so we have to also multiply 3 by 4.
5x4=20, 3x4=12
And now we put the fractions back in.
7 5/20 + 5 12/20
And add them.
7 5/20 + 5 12/20 = 12 17/20
Now, we're supposed to reduce it to its lowest form.
Unfortunately, the fraction cannot be reduced, because 17 is a prime number, meaning there are no factors to it except one and itself.
Therefore, the lowest form of 12 17/20 is 12 17/20
Your answer is B, 12 17/20
4 0
3 years ago
Multiply. (-5 5/8) • (-2 1/3) What is the product?​
lions [1.4K]

Answer:

105/8 = 13 1/8 = 13.125

Step-by-step explanation:

The first step is to turn the (-5 5/8) into a mixed number. The mixed number you should be getting is - 45/8. The second step is to convert the (-2 1/3) into a mixed number as well, your second mixed number should be -7/3. Next multiply the two fractions, - 45/8 x (-7/3) = 315/24.

We can simplify 315/24 by dividing by 3, so you'll divide 315 divided by 3 and 24 divided by 3 and you should get ... 105/8. So 105/ 8 is equal to

13 1/8. If you need this fraction in decimal form it is 13.125.

6 0
1 year ago
(5/6)÷ 2 <br>A 10/6<br>B 5/12<br>C 4/1/6<br>D 1/1/3​
Ipatiy [6.2K]

Answer: B) 5/12

Step-by-step explanation:

5/6 divided by 2 is the same as 5/6 x 1/2

5 0
3 years ago
Read 2 more answers
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
Mkey [24]

<em>Question:</em>

The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?

—————

<em>Solution:</em>

Call those two angles  x  and  y, where  x  is the larger one.

If they are complementary, then their sum equals  90°:

x + y = 90°      (i)


Also, the ratio between  x  and  y  is  3 : 2, so

  x           3
——  =  ——
  y           2


Product of the extremes = product of the means:

2x = 3y

2x – 3y = 0        (ii)


Now, just solve this system of equations:

  x  +  y = 90°         (i)
2x – 3y =   0          (ii)


Solve it with elimination. Since you want to know the value of the larger angle, which is  x, then eliminate the variable  y  by doing the following:

Multiply the equation  (i)  by  3,

3x + 3y = 270°        (iii)
2x – 3y =     0          (ii)


then add both equations, so you cancel out the variable  y:

3x + 2x + 3y – 3y = 270° + 0

3x + 2x = 270°

5x = 270°

         270°
x  =  ———
           5

x = 54°    <———  this is the measure of the larger angle.


I hope this helps. =)


Tags:  <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
</span>
3 0
3 years ago
A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,
zloy xaker [14]

Answer:

t=-20ln\left(\dfrac{1}{3}\right)

Step-by-step explanation:

The relationship between A, the area of the glacier in square kilometers, and t, the number of years the glacier has been melting, is modeled by the equation.:

A=45e^{-0.05t}

We want to determine the value of t for which the area, A(t)=15 square kilometers.

15=45e^{-0.05t}\\$Divide both sides by 45\\\dfrac{15}{45} =\dfrac{45e^{-0.05t}}{45}\\\dfrac{1}{3}=e^{-0.05t}\\$Take the natural logarithm of both sides\\ln\left(\dfrac{1}{3}\right)=ln\left(e^{-0.05t}\right)\\ln\left(\dfrac{1}{3}\right)=-0.05t\\$Divide both sides by -0.05$\\t=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05} \\=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05}\\t=-20ln\left(\dfrac{1}{3}\right)

Therefore, the time for which the area will be 15 sqyare kilometers is:

-20 ln(1/3) years.

7 0
3 years ago
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