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3 years ago

If <3 measures 123°, what is the measure of <7?

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

Answer:

assuming <3 is supplementary to <7 then <7 is 57

Step-by-step explanation:

180-123=57

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Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest r

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Step-by-step explanation:

did it gives which answer goes to the letter

4 0

3 years ago

Need simplified please

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

7^2 - ( 6-3^3)

PEMDAS

Parentheses first

7^2 - ( 6-3^3)

The exponent in the parentheses first

7^2 - ( 6-27)

7^2 - ( -21)

Now the exponent

49 - (-21)

Now subtract

49 +21

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3 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

what is the volume of a rectangular prism with a length of 10 inches, width of 12 inches and height of 6 inches

alexdok [17]

The answer would be 720 because you times all sides length times width times height

7 0

3 years ago

The sum of 5 consecutive integers is 265.<br><br>What is the fifth number in this sequence?

tiny-mole [99]

The number missing is 234

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2 years ago

Read 2 more answers