a sphere has a volume of 179.6 cubic cm which value is closest to the radius of this sphere in cm​

Answer:

x = -9, -3

Step-by-step explanation:

[tex] {x }^{2} + 12x + 27 = 0[/tex]

[tex](x + 3)(x + 9) = 0[/tex]

x = -3, -9

Answer:

-3 and -9

Step-by-step explanation:

Standard quaratic form: a² + bx + c = 0

x² + 12x + 27 = 0

find 2 numbers that multiply to 27 (the c-value), but add to 12(the b-value);

The numbers will be 9 and 3, since;

9 x 3 = 27

9 + 3 = 12

Now we can put these numbers in the standard factor form: (x + p) (x + q);

(x + 9) (x + 3) = 0

Now we can set each part equal to 0 and solve;

x + 9 = 0  => x = -9

x + 3 = 0  => x = -3

So the roots are;

-3 and -9

Hope this helps!

Answer:

s

Step-by-step explanation:

Answer:

Step-by-step explanation:

r=6ft; c=2pi(6)=12pi ft

put into calculator, you get 37.7 ft

Answer:

Height = 18 units

Step-by-step explanation:

Given :

Volume= 162pi, radius= 3 units

We know,

Volume of Cylinder= Pi * (radius)^2*h

now you can substitute, (P.S: dont put the value of pi as it will get cancelled)

162 pi = pi* (3)^2* h

162= 9h

∴h= 162/9= 18

∴ height is 18 units.

Hope it helps. But I am not sure if the answer is correct or not.

Answer:

[tex]v = \pi \: {r}^{2} h \\ where \: v = 162\pi \: \\ r = 3 \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{162}{9} \\ h = 18 units[/tex]

Answer:

  (c)  x² -64

Step-by-step explanation:

The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...

  a² -b² = (a +b)(a -b)

__

You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...

  a² -b² = x² -8² = x² -64

Answer:

x^2-64

Step-by-step explanation:

just did the test

Answer:

c. 34

Step-by-step explanation:

1) Add all the given prices on each day.

= 42.80 + 64.20 + 74.90

= 181.90

2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.

Let x = number of magazine subscriptions sold

5.35x = 181.90

x = [tex]\frac{181.90}{5.35}[/tex]

x = 34

Step-by-step explanation:

x = 5

x = -7

x = 18

x = 14

these are the answers, comment if you still have doubts.

Answer:

25 units squared

Step-by-step explanation:

Area is length times width. The table is in the shape of a square, so 5*5 = 25 units squared.

Answer:

15.4

Step-by-step explanation:

[tex]\frac{u}{4}[/tex] = tan51.3° ⇒ u = 4tan51.3° ≈ 5

[tex]\frac{4}{v}[/tex] = cos51.3° ⇒ v = [tex]\frac{4}{cos51.3}[/tex] ≈ 6.4

P ≈ 4 + 5 + 6.4 = 15.4

The perimeter of the triangle is 18.56.

The perimeter of the triangle is addition of all three sides.

Given:

The sides of angle is 4, u and v.

The angle of triangle is 51.3 degree.

For finding the value of u and v.

               [tex]tan\theta=\frac{opposite}{Adjacent}[/tex]

tan 51.3 = u/4

1.682 =u/4

u = 6.72

             [tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

cos 51.3 = 4/v

0.51 = 4/v

v = 7.84

Perimeter = u + v + 4

                 = 6.72 + 7.84 + 4

                 = 18.56.

Therefore, the perimeter of this triangle is 18.56.

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Answer:

60 inches

Step-by-step explanation:

In diagram A, the perimeter (outer edge) is made of 16 sides of the boxes.

48/16=3, so each side is 3 inches.

In diagram B, the perimeter is made of 20 sides.

20x3=60

Step-by-step explanation:

A ) 3x-2

B ) -4x+5

I HOPE IT HELPED YOU

Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

Step-by-step explanation:

125°/360°×π×15²

=245.44cm²

Answer:

2,799 square cm

Step-by-step explanation:

Volume of cone: (1/3)π(9^2)(40)=1,080π

Volume of cylinder: π(3^2)(21)=189π

1,080π - 189π = 891π = 2799.2 square cm

Answer:

781.54

Step-by-step explanation:

240+1180= 1420

11580-1420 = 10160

10160÷13 ~=~ 781.54

PLACE as brainliest

Answer:

9 first class tickets

4 coach tickets

Step-by-step explanation:

Let x = number of first class tickets bought

Let y = number of coach tickets bought

Given:

⇒ x + y = 13

Given:

⇒ 1180x + 240y = 11580

Rewrite first equation to make y the subject:

⇒ y = 13 - x

Substitute this into the second equation and solve for x:

⇒ 240(13 - x) + 1180x = 11580

⇒ 3120 - 240x + 1180x = 11580

⇒ 940x = 8460

⇒ x = 9

Therefore, 9 first class tickets were bought.

To find the number of coach tickets bought, simply substitute the found value of x into equation 1 and solve for y:

⇒ 9 + y = 13

⇒ y = 4

Therefore, 4 coach tickets were bought.

Answer:

Step-by-step explanation:

25% = 1/4 of 100

100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200

If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.

50... ok......

50 = 25%

Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people

So, if 25-15=10

and then 5% = 10 people

5%+5%=10

10+10=20

That means, that 20 people more liked the movie than disliked it.

Answer:

Reflection over the y-axis.

Step-by-step explanation:

All the x values will change sign so its over the yaxis

Answer:

a. The graph will be reflected over the y-axis

Step-by-step explanation:

When a function is reflected over the y-axis, the x-coordinates are divded by -1, and then the new points will become reflections of the y-axis. Because x was changed to -x in this problem, we know that the graph was relfected across the y-axis.

hope this helps :)

[tex]~~~~~\pi r^2 = 513\\\\ \implies r = \sqrt{\dfrac{513}{\pi}}\\\\ \implies r= \sqrt{\dfrac{513}{3.14}}\\\\\implies r=12.78~ \text cm.}\\\\\text{Hence the radius is 12.78 cm.}[/tex]

Answer:

Step-by-step explanation:

Area of circle = πr²

[tex]\sf \boxed{r =\sqrt{ \dfrac{Area}{3.14}}}[/tex]

[tex]\sf r =\sqrt{\dfrac{513}{3.14}}\\\\r = \sqrt{163.38}\\\\r = 12.78 \ cm[/tex]

Answer:

8in³

Step-by-step explanation:

Volume is given as the product of surface area and height.

V=Ah

Where h is height and A is surface area. Here, the surface area is given 1 square inches and the height is 8 inches then the volume will be given as

V=1*8=8 cubic inches

Therefore, the volume of the bird feeder is equal to 8 cubic inches

Answer:

$44

Step-by-step explanation:

She has 79 AFTER her grandfather gave her 35. So you would subtract 35 from the 75 and get $44

Answer:

you're correct it's 44 you do 79 - 35 and you get 44

Answer:

$630 Per Month

Step-by-step explanation:

$22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months

=$630

Answer:

Option B I.e -1/2

Step-by-step explanation:

Option B I.e -1/2

Step-by-step explanation:

For this problem, you'll need two formulas:

Slope: y1 - y2/x1 - x2

Point Slope: y - y1 = m(x - x1)

First thing you need to use is the slope formula.

Plugging in your coordinates gives you:

[tex]\frac{-2-3}{4-2}[/tex] = [tex]\frac{-5}{-2}[/tex]

You can simplify this by getting rid of the negatives since two negatives make a positive.

Now to use the point slope formula.

For this formula, the slope we just found, [tex]\frac{5}{2}[/tex], replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).

I'll be using the point (2,3). Now plug everything in:

[tex]y-3=\frac{5}{2} (x-2)[/tex]

First thing you should do is distribute the [tex]\frac{5}{2}[/tex]:

[tex]y-3=\frac{5}{2} x-5[/tex]

Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:

[tex]y=\frac{5}{2} x-2[/tex]

Hope this was helpful, good luck :)

Answer:

B.  F(x) = (x+1)/(x-1)(x+2)

Step-by-step explanation:

See attached graph.  Note how the two vertical lines at x = -2 and 1 match plot B

The following graph is of the rational function [tex]F(x) = \frac{x+1}{(x-1)(x+2)} \\[/tex]

What are asymptotes?

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance.

The rational function does not exist at x = 1 and x = -2 ( as observed in graph). Thus, the denominator of the function consist (x-1) and (x+2). It is only in option B, thus it is correct.

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Answer:

Step-by-step explanation:

Answer:

62%

Step-by-step explanation:

10 000 ÷ 100 = 100

620 ÷ 100

= 62%