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2 years ago

3 1/2 divided 2 3/5 in its simplest form

Mathematics

1 answer:

xxMikexx [17]2 years ago

4 0

Answer:

9.1 is answer or 91/10 or 9 1/10

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Find the surface area of the following figure.

fgiga [73]

Answer:

$\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.$

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

$\qquad\boxed{\sf Area_{(square)}= side^2}$

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}$

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

$\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}$

$\rule{200}2$

Hence the TSA of cuboid in terms of lenght and breadth is :-

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}$

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2 years ago

In a mapping diagram each _____ corresponds to an ordered pair. A.) input value B.)relation C.)arrow D.)output value

Lilit [14]

The answer is c. relation

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2 years ago

What effect does the "a" value have on the function f(x)=log(x)

Leni [432]

I would guess they're referring to some general form firstf(x)=alog(x−h)+kWhere 'h' represents horizontal shifts, 'k' vertical shifts and 'a' stretches the function. "a" will also reflect the function across the x-axis if the value is negative. But NOT across the y-axis. I hope that's the place they wanted to put the a at least

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2 years ago

Can someone explain to me better on identifying linear functions? Like how would I know the difference when identifying them? Ar

Margaret [11]

Answer:

A linear function is a straight line and a non-linear function is not a straight line.

Step-by-step explanation:

7 0

2 years ago

Solve by the multiplication of equality 5/49*x = 20/7

WARRIOR [948]

5/49(x) = 20/7
5x/49 = 20/7
5x/49 × 49 = 20/7 × 49
5x = 140
5x / 5 = 140 / 5
x = 28

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3 years ago