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2 years ago

Please help if your good at maths

Mathematics

2 answers:

Nat2105 [25]2 years ago

8 0

Answer:

n = 7/2.

Step-by-step explanation:

root 3 is basically 3 raised to the power of ½. therefore the equation becomes 3 power ½ × power 7 which gives 3 power 7/2 Therefore, n = 7/2

lawyer [7]2 years ago

6 0

$\sf{n=\dfrac{7}{2}}$

Explanation:-

$(\sqrt{3})^{7}=3^{n}\\\\(3^{\footnotesize{\dfrac{1}{2}}})^{7}=3^n\\\\3^{\small{\dfrac{7}{2}}}=3^{n}\\\\n=\dfrac{7}{2}$ $\sf{ }$

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Bryce measured the circumference of a tree trunk. Its circumference was 91 ft. What was the approximate diameter, rounded to the

iren2701 [21]

Answer: 29 feet.

Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.

91 = 3.14 x d

In order to solve for d you need to divide both sides for 3.14:

D = 28.98, rounded to the nearest foot is 29 feet.

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2 years ago

Radical expression of 4d 3/8

DanielleElmas [232]

Answer:

$\boxed{4 \sqrt[8]{ {d}^{3} } }$

Step-by-step explanation:

$= > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} }$

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2 years ago

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2 years ago

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Divide 7 by 10 the write answer as a fraction

mash [69]

1/7

Step-by-step explanation:

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2 years ago

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Mrs. Del Pup bought 20 yards of border for her classroom bulletin board.

KengaRu [80]

A rectangle with dimensions $x$ and $y$ has perimeter 20 if

$2(x+y)=20 \iff x+y=10$

and we can deduce

$y=10-x$

So, the dimensions of the rectangle must be $x$ and $10-x$ , where x ranges from 0 to 10 (both extremes are excluded, otherwise you'd have a degenerate rectangle, which is actually a segment).

So, all the possible areas are given by the product of the dimensions, i.e.

$x(10-x) = -x^2+10x$

The function $f(x)=-x^2+10x$ represents a parabola, facing downwards, and thus it admits a maximum, which is its vertex.

In particular, the vertex of this parabola is given by

$x=\dfrac{-b}{2a}=\dfrac{-10}{-2}=5$

And it yields an area of

$f(5)=-25+50=25$

(a) So, she can frame a maximum area of 25 squared yards.

(b)The dimensions of the rectangle with greatest area are $x=5$ and $y=10-x=10-5=5$ , so it's actually a square.

This is a well known theorem: if you fix the perimeter, the rectangle with the largest area is the square yielding that perimeter.

(c) If we increase both dimensions by 2 yards, our 5x5 square would become a 7x7 square...

(d) ...and the new area would be $7^2=49$ squared yards. So, the new area is $49-25=26$ squared yeards more than the old one.

6 0

2 years ago

Please help if your good at maths ​

Please help if your good at maths