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4 years ago

Find the smallest number by which 240 must be multiplied so that the product is a perfect square

Mathematics

1 answer:

Alina [70]4 years ago

7 0

Answer:

Step-by-step explanation:

First we will find the square root of 240

2 240

2 120

2 60

2 30

3 15

5 5

2×2×2×2×3×5

We will need 15 to make it a perfect square.

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3 years ago

write an expression with (-1) as its base that will produce a positive product, and explain why your answer is valid.

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3 years ago

Read 2 more answers

Use the distance formula to find The distance between the points (-1 ,3) and (2,6) write you answear as a square root, do not gi

olga nikolaevna [1]

Answer:

d = $3\sqrt{2}$

Step-by-step explanation:

The distance formula is d = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2} -y_{1} )^{2} }$

Plug in the points.

d = $\sqrt{(2-(-1))^{2}+(6 -3 )^{2} }$

Solve

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3 years ago

4=x^2 -5x-1 <br> HOW MANY X INTERCEPTS ARE THERE ?

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Answer:

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Step-by-step explanation:

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4 years ago

Use quadrilateral ABCD to find the value of x. The figure is not drawn to scale. Use the following dimensions: m⦨ABC = 4x◦, m⦨BC

OLEGan [10]

Answer/Step-by-step explanation:

Question 1:

Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.

Since sum of the interior angles = (n - 2)180, therefore:

$4x + 3x + 2x + 3x = (n - 2)180$

n = 4, i.e. number of sides/interior angles.

Equation for finding x would be:

$4x + 3x + 2x + 3x = (4 - 2)180$

$12x = (2)180$

$12x = 360$

$x = \frac{360}{12}$ (dividing each side by 12)

$x = 30$

Find the measures of the 4 interior angles by substituting the value of x = 30:

m<ABC = 4x

m<ABC = 4*30 = 120°

m<BCD = 3x

m<BCD = 3*30 = 90°

m<CDA = 2x

m<CDA = 2*30 = 60°

m<DAB = 3x

m<DAB = 3*30 = 90°

Question 2:

<CDA and <ADE are supplementary (angles on a straight line).

The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.

m<ADE = 180° - m<CDA

m<ADE = 180° - 60° = 120°

6 0

3 years ago