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8090 [49]
3 years ago
14

In a class of 78 students 41 are taking French, 22 are taking GermanOf the students taking French or German, 9 are taking both c

oursesHow many students are not enrolled in either course?
A6
B15
C24
D33
E54
Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

C24

Step-by-step explanation:

You start by taking 41 and 22.

Take 9 from both numbers to represent the students taking both courses.

41-9=32

22-9=13

Then 78-32(French Students)-13(German Students)-9(Two Course Students)

78-32-13-9=

78-54=

24

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Which of the following is the complete list of roots for the polynomial function f(x)=(x^2+6x+8)(x^2+6x+13)
MrMuchimi

Answer:

<h2>x = -4 or x = -2</h2>

Step-by-step explanation:

f(x)=(x^2+6x+8)(x^2+6x+13)\\\\f(x)=0\iff(x^2+6x+8)(x^2+6x+13)=0\iff\\x^2+6x+8=0\vee x^2+6x+13=0\\\\x^2+6x+8=0\\x^2+4x+2x+8=0\\x(x+4)+2(x+4)=0\\(x+4)(x+2)=0\iff x+4=0\ \vee\ x+2=0\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x^2+6x+13=0\qquad\text{subtract 13 from both sides}\\x^2+6x=-13\\x^2+2(x)(3)=-13\qquad\text{add}\ 3^2=9\ \text{to both sides}\\x^2+2(x)(3)+3^2=-13+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\(x+3)^2=-4

8 0
3 years ago
Explain how an insurance company can pay a large benefit even if it hasn’t collected that amount from an individual’s premiums.
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Answer: charging in premiums in exchange for insurance coverage???

Step-by-step explanation:

3 0
2 years ago
Christine has a rectangular poster. The poster is 1.5 meters long and 1.2 meters wide. What is the area of the poster in square
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2 years ago
The perimeter of an isosceles triangle is 65 centimeters. Find the length of the two equal sides when each is 10 centimeters lon
natita [175]

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Step-by-step explanation:

Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.

Let y represent the length of the third side.

The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that

2x + y = 65 - - - - - - - - - 1

Each of the equal sides is 10 centimeters longer than the third side. This means that

x = y + 10

Substituting x = y + 10 into equation 1, it becomes

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5 0
3 years ago
If AB = 4 centimeters, which is closest to BC?
Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

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By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

4 0
3 years ago
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