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alexandr1967 [171]
3 years ago
9

In a heptagon, the sum of the measures of 4 of the angles is 478 degrees. What is the sum of the measures of the other 3 angles?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0
Given that the heptagon has a interior angles sum of 900, the 3 angles is 900 - 478 = 422 degree.
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Mr. Mayntz's math class is made up of 29 students. Some of the students are male
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Answer:

Statements 2 and 3.

Step-by-step explanation:

The first statement is impossible since you cannot have half a person. The last statement is also incorrect, because it would imply that the total number of students in the class is -29. The second statement is correct, if you assume that x and y represent either the number of male or female students. The third statement is possible, and the numbers add up to 29. Finally, the fourth statement is impossible because it would imply that the class had negative male students. Hope this helps!

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Write 63 as the product of prime factors<br> HOW AM I WRONG???
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Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.

Step-by-step explanation:

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Change 2/7% to a ratio
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(2/7)% = 

<span>(2 / 7) / 100 = </span>

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Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value
algol [13]

Answer:

Minimum value of function C=x+10y is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

                                   C=x+10y

Subject to constraints:

                                   x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering x+y\geq 9, corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

                                    C=x+10y

at A(0,9)

                                     C=0+10(9)\\C=90

at B(3,9)

                                     C=3+10(9)\\C=93

at C(3,6)

                                     C=3+10(6)\\C=63

Minimum value of function C=x+10y is 63 occurs at point C (3,6).

3 0
3 years ago
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