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lawyer [7]
3 years ago
10

(Will mark brainliest) Please help as soon as possible for 30 points

Mathematics
2 answers:
Marianna [84]3 years ago
7 0

Answer:

90

Step-by-step explanation:

a triangle's angles all add up to 180. take 51 and 39 away from 180 and you get 90

n200080 [17]3 years ago
7 0

Answer: 90 degrees

Step-by-step explanation:

Theorem:

a+b+c=180 degrees

39 degrees + 51 degrees + x degrees = 180 degrees

39 + 51 = 90

180 - 90 = 90

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kai calculates that he spends 15% of a school day in science class. If he spends 75 minutes in science class, how many minutes d
jasenka [17]
Im not sure but I would think you would divide 75 by .15. That would get you 500. So 500 minutes would be your answer.
5 0
3 years ago
Anyone get this?? I really appreciated if you’ed help me :)
notsponge [240]

Answer:

V =5292 in ^3

Step-by-step explanation:

To find the volume for a rectangular prism

V = l*w*h

V = 6 * 36 * 24.5

V =5292 in ^3

6 0
3 years ago
John wants to make a 100 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with an 8% alcohol solution. What
mart [117]

Answer:

-50 ml of 3% alcohol solution and 150 ml of 8% alcohol solution

Step-by-step explanation:

For us to solve this type of mixture problem, we must represent the problem in equations. This will be possible by interpreting the question.

Let the original volume of the first alcohol solution be represented with x.

The quantity of the first alcohol solution needed for the mixture is 3% of x

                   ⇒ \frac{3}{100} * x

                       = 0.03x

Let the original volume of the second alcohol solution be represented with y.

The quantity of the second alcohol solution needed for the mixture is 5% of y

                   ⇒ \frac{5}{100} * y

                       = 0.05y

The final mixture of alcohol solution is 6% of 100 ml

                 ⇒ \frac{6}{100} * 100 ml

                       = 6 ml

Sum of values of two alcohol solutions = Value of the final mixture

                     0.03x + 0.05y = 6 ml               ..........(1)

Sum of original quantity of each alcohol solution = Original volume of the of mixture

                     x + y = 100 ml                          ..........(2)      

For easy interpretation, I will be setting up a table to capture all information given in the question.

Component                       Unit Value      Quantity(ml)       Value

3% of Alcohol solution        0.03                 x                     0.03x

8% of Alcohol solution        0.08                 y                     0.08y

Mixture of 100ml of 6%        0.06               100                       6    

                                                                x + y = 100       0.03x + 0.08y =6

Looking at the equations we derived, we have two unknowns in two equations which is a simultaneous equation.

                                0.03x + 0.05y = 6 ml               ..........(1)

                                x + y = 100 ml                           ..........(2)    

Using substitution method to solve the simultaneous equation.

Making x the subject of formula from equation (2), we have,

                                x  = 100 - y                                 ..........(3)

Substituting  x  = 100 - y from equation (3) into equation (1)

                               0.03(100 - y) + 0.05y = 6  

                               3 - 0.03y + 0.05y = 6  

Rearranging the equation,            

                               0.05y - 0.03y = 6 - 3

                               0.02y = 3

                               y = \frac{3}{0.02}

                               y = 150 ml

Substituting y = 150 ml into equation (3) to get x

                              x  = 100 - 150 ml

                              x = - 50 ml

The quantity of the first alcohol solution needed for the mixture for 3% is - 50 ml

The quantity of the second alcohol solution needed for the mixture for 5% is 150 ml

This solution means 50 ml of the first alcohol solution must be removed from the mixture with 150 ml of the second alcohol solution to get a final mixture of 100 ml of 6% alcohol solution.

3 0
2 years ago
The perimeter of a rectangular toddler play area is 100 feet. The length is 10 feet more than 3 times the width. Find the length
Mekhanik [1.2K]

Answer:

length and width = 40 and 10 ft.

Step-by-step explanation:

The perimeter of a rectangular toddler play area is 100 feet.

Perimeter = 2(length + width)

Let the width = w

The length is 10 feet more than 3 times the width. Length = 10+(3w)

now put the values

100 = 2(10+3w + w)

100 = 2w + 20 + 6w

100 = (2w + 6w) + 20

100 = 8w + 20

8w = 100 - 20

w = \frac{80}{8}

w = 10 feet.

Now Length = 10+ (3w)

                     = 10+( 3 × 10)

                     = 10 + 30

                     = 40 feet

Therefore, length = 40 feet and width = 10 feet

8 0
3 years ago
What does (-x)+(-x)+(-x)=
Mazyrski [523]

Answer:

-3x

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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