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3 years ago

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:

Given:

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

Find the length of AC and CB:

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

Find CB:

CB = 3AC = 3*48 = 144 cm

Find the length of CD:

CD = BC/12 = 144/12 = 12 cm

Find the length of AD:

AD = AC - CD = 48 - 12 = 36 cm

Find the midpoint of AD:

m(AD) = 36/2 = 18 cm

Find the midpoint of CB:

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

Find the distance between the midpoints:

x = 130 - 18 = 112 cm

4 0

2 years ago

The radius of a semicircle is 3 feet. What is the semicircle's area? 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:

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

$= 3.14 \times 4.5$

$= 14 .13 {ft}^{2}$

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:

4 0

3 years ago

The sum of two numbers is 39, One number is 7 more than the other. Find the two numbers.

vfiekz [6]

The answer is.. 23 and 16

Hope this helps!!

5 0

3 years ago