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3 years ago

What is the area, in square centimeters, of the isosceles trapezoid below?

Mathematics

1 answer:

charle [14.2K]3 years ago

7 0

Both triangles area:
4.2 x 8.2 = 34.44

you don’t need to divide by two cause there’s two triangles anyways.

also, you get 8.2 by subtracting the total length by the top length. (13.5-5.3)

rectangle:
4.2 x 5.3 = 22.26

the total area is 56.7cm squared

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Rationalise the denominator of 1/(2√5 + √3)

wlad13 [49]

Answer:

$\bf ➤ \underline{Solution-} \\$

$\sf \: \: \: \dfrac{1}{ 2 \sqrt{5} + \sqrt{3} }$

On rationalising,

$\sf \implies\dfrac{1}{ 2 \sqrt{5} + \sqrt{3} } \times \dfrac{2 \sqrt{5} - \sqrt{3}}{2 \sqrt{5} - \sqrt{3}}$

Combine the fractions,

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{(2 \sqrt{5} + \sqrt{3})(2 \sqrt{5} - \sqrt{3})}$

We know that,

$\sf \implies (a + b)(a - b) = (a)^{2} - (b)^{2}$

So,

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{(2 \sqrt{5} )^{2} - (\sqrt{3})^{2} }$

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{20 - 3 }$

$\sf \implies \dfrac{1(2 \sqrt{5} - \sqrt{3})}{17 }$

$\sf \implies \dfrac{2 \sqrt{5} - \sqrt{3}}{17 }$

Hence,

On rationalising we got,

$\bf \implies\dfrac{2 \sqrt{5} - \sqrt{3}}{17 }$

3 0

2 years ago

What are the intercepts of the graph of the equation, y=-7

goldenfox [79]

Answer:

y-7=0 is the same as y=7

The drawing of y=7 is a straight horizontal line intercepting the y axis at 7. So basically it's a horizontal line that passes through (0,7). Its slope is zero since it's a horizontal line.

Step by step explanation:

A line with no x in the equation is a horizontal line. In this case, y=7. All horizontal lines have a slope of 0, since there is never a change in the y coordinate (it is always 7) so the numerator of the fraction used to determine the slope is 0.

The y-intercept is, of course 7 (all y values on the line are 7). There is no x-intercept since it is a horizontal line through the point (0,7) so it will never intersect the x-axis.

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2 years ago

Help needed asap!!,.........

Kaylis [27]

Answer:

C: Reflection across the y-axis and a translation right two units.

Step-by-step explanation:

FLVS Geometry, eh? I did that class last year.

Anyway, when you apply a reflection across the y-axis, the original shape will flip to the upper-right quadrant because it got reversed in its x coordinates (x, y becomes -x, y). From there, all you have to do is translate two to the right.

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3 years ago

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vivado [14]

Answer: 1/10000000000000000000000000000000000 and so on.

Step-by-step explanation: The more 0’s, the more the fraction is close to zero. I’m sorry, I can’t actually type the fraction because it might be everlasting. Hope I helped!

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3 years ago

The cylindrical part grain silo is 10 meters tall and has a radius of 5 meters. What is the volume of grain that the cylindrical

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Answer: 250π m³

Step-by-step explanation:

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