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2 years ago

A) Find the perimeter of a rectangle whose length is 10 10²/3 cm and breadth is 6 cm.

Mathematics

1 answer:

lesya [120]2 years ago

6 0

Answer:

Step-by-step explanation:

P=2(l+w)

2·(10+10)

=40

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Two forces of 401 newtons and 477 newtons act on a point. The resultant force is 828 newtons. Find the

Ray Of Light [21]

Answer:

The answer is " $39.01^{\circ}$ "

Step-by-step explanation:

$\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}$

$828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\$

square the above equation:

$(828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\$

$685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}$

3 0

3 years ago

Is 12 inches less than or greater than 1 foot

lidiya [134]

One foot is equal to 12 inches, so they are both the same length.

4 0

4 years ago

Read 2 more answers

Find the limit, if it exists. (If an answer does not exist, enter DNE.)

lys-0071 [83]

let's change some the 0.1 to say 1/10, just the fraction version of it.

$\bf \lim\limits_{x\to \left( \frac{1}{10} \right)^-}~\cfrac{10x-1}{|10x^3-x^2|}\implies \lim\limits_{x\to \left( \frac{1}{10} \right)^-}~\cfrac{10(-x)-1}{10(-x)^3-(-x)^2}$

$\bf \cfrac{-10x-1}{-10x^3-x^2}\implies \cfrac{-10\left( \frac{1}{10} \right)-1}{-10\left( \frac{1}{10} \right)^3-\left( \frac{1}{10} \right)^2}\implies \cfrac{-1-1}{-\frac{1}{100}-\frac{1}{100}}\implies \cfrac{-2}{\frac{-2}{100}} \\\\\\ \cfrac{~~\begin{matrix} -2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\cdot \cfrac{100}{~~\begin{matrix} -2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 100$

when checking an absolute value expression, we do the one-sided limits, since an absolute value expression is in effect a piecewise function with ± versions, so for the limit from the left we check the negative version.

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3 years ago

Can you help me find the area of the trapezoids

DiKsa [7]

Answer:

See below.

Step-by-step explanation:

the one on the left area is 104

the one on the right area is 19.5

4 0

2 years ago

A farmer is planning how to divide his land for planting next year’s crops. A triangular plot of land is left with two known sid

jeka57 [31]

He can either measure the third side length, apply the Pythagorean theorem to find the height of the triangle, and then calculate the area, or he can find the measure of the included angle between the known side lengths and use trigonometry to express the height of the triangle and then determine the

area of the triangle

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3 years ago