How do you find a radius, btw just give me a quick simple answer to read lol

vichka [17]

Answer:

Step-by-step explanation:

Key to this method is remembering that

$(a+b)^2 = a^2 + 2ab + b^2$

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add $3^2 = 9$

$x^2+6x+9 = (x+3)^2$

So, c=9

Similarly, for the other two,

$c = (\frac{-34}{2} )^2 = (-17)^2 = 289$

You don't really have to worry about the sign, since squaring will always make it positive

$(\frac{25}{13}) ^2 = \frac{625}{169}$

7 0

4 years ago

What does R represent?<br> A. a line segment<br> B. a point<br> C. a line<br> D. a rat

Mashcka [7]

Answer:

B

Step-by-step explanation:

5 0

3 years ago

4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface

White raven [17]

4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

$\sf (\dfrac{3}{4})^2=\dfrac{S}{96}$

Simplify the exponent:

$\sf \dfrac{9}{16}=\dfrac{96}{S}$

Cross multiply:

$\sf 9S=1536$

Divide 9 to both sides:

$\sf S\approx 170.7~m^2$

So the surface area of the second solid is 54 square meters.

The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

$\sf (\dfrac{3}{4})^3=\dfrac{720}{V}$

Simplify the exponent:

$\sf \dfrac{27}{64}=\dfrac{720}{V}$

Cross multiply:

$\sf 27V=46080$

Divide 64 to both sides:

$\sf V\approx 1706.7~m^3$

5.

A globe is a sphere, use the formula for the volume of a sphere:

$\sf V=\dfrac{4}{3}\pi r^3$

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

$\sf V=\dfrac{4}{3}(3.14)(20)^3$

Simplify the exponent:

$\sf V=\dfrac{4}{3}(3.14)(8000)$

Multiply:

$\sf V\approx \boxed{\sf 33,493~in^3}$

6 0

4 years ago

Read 2 more answers

Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th

zzz [600]

Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

$(3x-4)\text{ degrees}$

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

$x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134$

Thus, the measures of angle are 46 degrees and 134 degrees.

7 0

3 years ago

A solid pyramid of height 40 cm with a square base of sides 30 cm each is put into a tank of sides 40 cm each. the tank is then

viktelen [127]

So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.

40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed

6400-1200=5200cm^3 of water

(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)

6 0

4 years ago