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3 years ago

The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Mathematics

1 answer:

Fynjy0 [20]3 years ago

5 0

Answer:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0 ------> this is the required quadratic equation.

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nikdorinn [45]

Answer:

The answer for this question is 5

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2 years ago

Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP

PSYCHO15rus [73]

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

m∠A = 35°

m∠C = 90°

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° = 180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

m∠A = 35°

m∠C = 90°

Exterior angle = m∠A + m∠C

= 35° + 90°

= 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

8 0

2 years ago

Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? Explain how you found your answer

Rina8888 [55]

Answer:Answer: Isabella buys 2 paintbrushes and 3 jars of paint.

Step-by-step explanation:

Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87.

(Hope this helps!!!!)

5 0

3 years ago

If the area of a circle measures 9π cm2, what is the circumference of the circle in terms of π?

8_murik_8 [283]

Answer: option B

Step-by-step explanation:

The circumference of a circle can be calculated with this formula:

$C=2\pi r$