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3 years ago

PLEASE PLEASE PLEASE ANSWER THIS.

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Hi there!

$\large\boxed{53) \text{ } KL = 31}\\\\\large\boxed{54) \text{ } { } DC = 3}$

53)

The altitude of a triangle is always perpendicular to the base, therefore:

5x° must equal 90°.

Solve for x:

5x = 90

5x / 5 = 90 / 5 ----> x = 18

KL is equal to 2x - 5, so plug the value of x into the equation:

KL = 2(18) - 5

KL = 36 - 5 ---> KL = 31

54)

A median bisects the base, therefore:

AD ≅ DC

Set both equations equal to each other:

3x = 2x + 1

Subtract 2x from both sides:

x = 1

Plug in the value of x into the equation for DC:

2(1) + 1 = 3.

DC = 3.

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4 years ago

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Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h

8_murik_8 [283]

Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

$weight_{unit}=\frac{18oz}{6}=3oz$

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

$fiber=(3oz)(0.51)=1.53oz$

Finally, in each muffin there are 1.53oz of fiber.

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4 years ago

Quadratic Functions Helppp please!!! questions attached below

OleMash [197]

Answer:

Q 30) x = -3 or x = 12.

Q 31) x = 1 or x = 2.

Q 32) x = -1/2 or x = 8.

Q 33) x = 2/5 or x = 3.

Q 34) x = 1.80424764151 or x = -0.5542476415.

Q 35) x = 1.5 or x = -1/3.

Step-by-step explanation:

Q 30)

x^2 - 9x - 36 = 0.

Solving by factoring:

Multiplying 1 and 36 yields 36. The factors whose difference results in 9 are 12 and 3. Therefore:

x^2 - 12x + 3x - 36 = 0.

x(x - 12) + 3(x - 12) = 0.

(x + 3)(x - 12) = 0.

Either x + 3 = 0 or x - 12 = 0.

Therefore, x = -3 or x = 12.

Q 31)

x^2 - 3x + 2 = 0.

Solving by factoring:

Multiplying 1 and 2 yields 2. The factors whose sum results in 3 are 2 and 1. Therefore:

x^2 - 2x - x + 2 = 0.

x(x - 2) - 1(x - 2) = 0.

(x - 1)(x - 2) = 0.

Either x - 1 = 0 or x - 2 = 0.

Therefore, x = 1 or x = 2.

Q 32)

2x^2 - 15x - 8 = 0.

Solving by factoring:

Multiplying 2 and 8 yields 16. The factors whose difference results in 15 are 16 and 1. Therefore:

2x^2 - 16x + x - 8 = 0.

2x(x - 8) + 1(x - 8) = 0.

(2x + 1)(x - 8) = 0.

Either 2x + 1 = 0 or x - 8 = 0.

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Q 33)

5x^2 - 17x + 6 = 0.

Solving by factoring:

Multiplying 5 and 6 yields 30. The factors whose sum results in 17 are 15 and 2. Therefore:

5x^2 - 15x - 2x + 6 = 0.

5x(x - 3) - 2(x - 3) = 0.

(5x - 2)(x - 3) = 0.

Either 5x - 2 = 0 or x - 3 = 0.

Therefore, x = 2/5 or x = 3.

Q 34)

4x^2 - 5x - 4 = 0.

Solving by completing the square:

4x^2 - 5x = 4.

x^2 - 5x/4 = 1.

(x)^2 - 2*(x)*(5/8) + (5/8)^2 = 1 + (5/8)^2.

(x - 5/8)^2 = 1 + 25/64.

(x - 5/8)^2 = 89/64.

x - 5/8 = ±1.17924764151.

x - 5/8 = 1.17924764151 or x - 5/8 = -1.17924764151.

Therefore, x = 1.80424764151 or x = -0.5542476415.

Q 35)

6x^2 - 7x - 3 = 0.

Solving by quadratic formula:

x = (-b ± √(b^2 - 4ac))/2a.

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x = (-(-7) ± √((-7)^2 - 4*(6)*(-3)))/2(6).

x = (7 ± √(49 + 72))/12.

x = (7 ± √(121))/12.

x = (7 ± 11)/12.

x = (7 + 11)/12 or x = (7 - 11)/12.

x = 18/12 or x = -4/12.

Therefore, x = 1.5 or x = -1/3.

In summary:

Q 30) x = -3 or x = 12!!!

Q 31) x = 1 or x = 2!!!

Q 32) x = -1/2 or x = 8!!!

Q 33) x = 2/5 or x = 3!!!

Q 34) x = 1.80424764151 or x = -0.5542476415!!!

Q 35) x = 1.5 or x = -1/3!!!

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4 years ago

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Answer:

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The relative frequency of males or females choosing a sports car is 0.35

Step-by-step explanation:

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3 years ago

Which is 3,200 divided by 40? A.6 B.8 C.60 D.80

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2 years ago

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PLEASE PLEASE PLEASE ANSWER THIS.​

PLEASE PLEASE PLEASE ANSWER THIS.