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nirvana33 [79]
3 years ago
11

Rewrite square root of -49-4

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

Answer:

\sqrt{53i}

Step-by-step explanation:

We need to find \sqrt{-49-4}

We know that √-1 = i

Adding -49 and -4 and solving

\sqrt{-49-4}\\\sqrt{-53}\\\sqrt{53i}

Since 53 is not a perfect square so our answer is:

\sqrt{53i}

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On section AB, whose length is 192 cm, take the point C so that AC: CB = 1: 3. The point D is taken on the AC section so that CD
jasenka [17]

Answer:

  • 112 cm

Step-by-step explanation:

<u>Given:</u>

  • AB = 192 cm
  • AC : CB = 1 : 3
  • CD = BC/12
  • The distance between midpoints of AD and CB = x

<u>Find the length of AC and CB:</u>

  • AC + CB = AB
  • AC + 3AC = 192
  • 4AC = 192
  • AC = 192/4
  • AC = 48 cm

<u>Find CB:</u>

  • CB = 3AC = 3*48 = 144 cm

<u>Find the length of CD:</u>

  • CD = BC/12 = 144/12 = 12 cm

<u>Find the length of AD:</u>

  • AD = AC - CD = 48 - 12 = 36 cm

<u>Find the midpoint of AD:</u>

  • m(AD) = 36/2 = 18 cm

<u>Find the midpoint of CB:</u>

  • m(CB) = AC + 1/2CB = 48 + 144/2 = 48 + 82 = 130 cm

<u>Find the distance between the midpoints:</u>

  • x = 130 - 18 = 112 cm
4 0
2 years ago
The radius of a semicircle is 3 feet. What is the semicircle's area?<br>Use 3.14 for Pi​
valentinak56 [21]

Answer:

14.13 ft²

Step-by-step explanation:

The area of a semicircle is

=  \frac{\pi \:  {r}^{2} }{2}

We were given the radius of the semicircle to be: r=3 feet.

We were also asked to use π as 3.14.

We substitute into the formula to get:

=  \frac{3.14 \times  {3}^{2} }{2}

This is the same as:

=  \frac{3.14 \times  9}{2}

Or

= 3.14 \times  4.5

= 14 .13 {ft}^{2}

The area of the semicircle is 14.13 ft²

5 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
aleksley [76]

The length of PR is 4.4 units.

Explanation:

It is given that the length of the hypotenuse is 10 units.

Also, the angle of R is 64°

To find the length of PR, we shall use the cosine formula,

\cos \theta=\frac{a d j}{h y p}

Here,  \theta=64, adj = PR and hyp = 10

Substituting these values in the formula, we get,

\cos 64=\frac{P R}{10}

Multiplying both sides by 10, we get,

10*\cos 64={P R}

Substituting the value for cos 64, we get,

10*0.438={P R}

Multiplying, we have,

4.38=PR

Rounding off, we get,

PR=4.4

Thus, the length of PR is 4.4 units.

8 0
3 years ago
Fracciones combinadas
RideAnS [48]

Answer:

thosyukfgg

Step-by-step explanation:

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3 years ago
The sum of two numbers is 39, One number is 7 more than the other. Find the two numbers.
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The answer is.. 23 and 16

Hope this helps!!
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