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3 years ago

Divde the square roots of 121 by the product of the Square roots of 25 and 4

Mathematics

1 answer:

Pavel [41]3 years ago

7 0

Answer:

1.1

Step-by-step explanation:

$\frac{ \sqrt{121} }{ \sqrt{25} \times \sqrt{4} } = \frac{11}{5 \times 2} = \frac{11}{10} = 1.1$

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Arisa [49]

<h2>Answer: A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm </h2>

The parallelogram in the figure has an area of $80mm^{2}$ , according to the following formula, which works for all rectangles and parallelograms:

$A_{parallelogram}=(b)(h)$ (1)

Where $b$ is the base and $h$ is the height

The<u> area of a triangle</u> is given by the following formula:

$A_{triangle}=\frac{1}{2}(b)(h)$ (2)

So, for option A:

$A_{triangle}=\frac{1}{2}(4mm)(20mm)=40mm^{2} \neq 80mm^{2}$

Now, the <u>area of a trapezoid </u>is:

$A_{trapezoid}=\frac{1}{2}(b_{1}+ b_{2})(h)$ (3)

For option B:

$A_{trapezoid}=\frac{1}{2}(15mm+25mm)(2 mm)=40mm^{2} \neq 80mm^{2}$

For option C:

$A_{trapezoid}=\frac{1}{2}(6mm+14mm)(8 mm)=80mm^{2}$ >>>>This is the correct option!

For option D:

$A_{rectangle}=(30mm)(8mm)=240mm^{2} \neq 80mm^{2}$

<h2>Therefore the correct option is C</h2>

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What is the factorization of the trinomial below? 4x2 + 20x - 24

Ivenika [448]

Hey there!

$4x^{2} +20x -24$
We can first factor out the 4 (bring it outside the parenthesis)

$4( x^{2} +5x - 6)$
Now have a closer look between the parenthesis, because this expression can be factored as well. We're looking for two different numbers with a product of -6 and a sum of 5. Hence, we find the numbers 6 and -1

$4(x-1)(x+6)$
~ Hope this helps you!

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