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3 years ago

Simplify the radical expression 5/64

Mathematics

1 answer:

klemol [59]3 years ago

6 0

Answer:

Step-by-step explanation:

5√64 = 5 x 8 = 40

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

7 0

3 years ago

Pretty please help! there are 4 graphs.

Iteru [2.4K]

Answer: The answer is D.

Step-by-step explanation: Considering that the dots represent people, all you have to do is count the dots. Graph D is the only plot that has three in both 6 and 8.

Hope this helps & Good Luck,

Melodii

8 0

3 years ago

Read 2 more answers

Identify the percent of change as an increase or decrease. Then find the percent of change, rounding to the nearest tenth of a p

kap26 [50]

Answer:

-60% decrease

Step-by-step explanation:

60 is the old value and 24 is the new value.

percent change = $\frac{new - old}{|old|}$ x 100%

so for this problem, you can substitute the values given in the formula:

percent change = $\frac{60-24}{|60|}$ x 100% = $\frac{-36}{60}$ x 100% =

-60% (decrease)

3 0

3 years ago

One kitty weighs 2 pounds 4 ounces. Another kitten weighs 2 ounces less. What is the combined weight of the two kittens in ounce

My name is Ann [436]

70 ounces because there are 16 ounces in a pound so 16 x2 equals 32 + 2ounces equals 36 - 2 equals 34 , 34 + 36 = 70 ounces in total .

3 0

3 years ago

Can someone help me with this

SashulF [63]

Answer:

$\angle NRQ =85 \degree$

Given:

$\angle RPQ = 45 \degree \\ \angle PQR = (6x + 4)\degree \\ \angle NRQ = (15x - 5)\degree$

Step-by-step explanation:

Property used: <em>An exterior angle of a triangle is equal to the sum of the opposite int</em><em>e</em><em>rior angles.</em>

<em> $= > \angle RPQ + \angle PQR = \angle NRQ \\ \\ = > 45 \degree + (6x + 4)\degree = (15x - 5)\degree \\ \\ = > 45\degree + 6x\degree + 4\degree = 15x\degree - 5\degree \\ \\ = > 49\degree + 5 \degree= 15x\degree - 6x\degree \\ \\ = > 54\degree = 9x\degree \\ \\ = > 9x\degree = 54\degree \\ \\ = > x\degree = (\frac{54}{9} )\degree \\ \\ = > x\degree = 6\degree \\ \\ Putting \: value \: of \: x \: in \: \angle NRQ \\ \\ = > \angle NRQ = (15x - 5)\degree \\ \\ = > \angle NRQ = (15 \times 6 - 5) \degree \\ \\ = > \angle NRQ =85 \degree$ </em>

4 0

3 years ago