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MAVERICK [17]
2 years ago
12

Help me pls! I’m struggling!

Mathematics
1 answer:
sukhopar [10]2 years ago
8 0

30 {t}^{2} {v}^{5} + 12 {t}^{2} {v}^{7}

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Rewrite in simplest radical form: x^4/5 / x^1/3 into a√x^b
mrs_skeptik [129]

Answer:

\sqrt[15]{x^7}

Step-by-step explanation:

If we have the expression

\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}, we have to think about exponent rules.

If we have a^b \div a^c, then the value will be equal to a^{b-c}.

So \frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}} simplified will be x^{\frac{4}{5} - \frac{1}{3}}

Converting \frac{4}{5} and \frac{1}{3} into fifteenths (lcm) gets us \frac{12}{15} - \frac{5}{15} = \frac{7}{15}.

We can convert x^{\frac{7}{15}} into a radical by taking the denominator root of x to the numerator.

\sqrt[15]{x^7}.

Hope this helped!

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What is expanded number 289 mean
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4 years ago
Use the graph to determine the input value for
musickatia [10]

Answer: x=1.5

Step-by-step explanation:

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3 years ago
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 }}

6 0
3 years ago
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