What is the volume of this sphere?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer:

Step-by-step explanation:

Carry out indicated operations to see if they are equal

2(6-3x)+x=2(3x)+x+12

2(6)+2(-3x)+x=6x+x+12

12-6x+x=6x+x+12 combine like terms on both sides

12-5x=12+7x (we can see here they are unequal but we can continue) subtract 12 from both sides

-5x=7x divide both sides by x

-5=7

7 is not equal to -5 so the original expressions aren’t equivalent.

Answer:

(-4,1)

Step-by-step explanation:

(6,1)- incorrect

(0,4) -incorrect

Try out pairs that will be inside the darker shaded color.

Hope this helps!

Answer:

T-shirt : £11

Hat : £7

Step-by-step explanation:

Think of T-shirts as T

and Hats as H

5t + h = 62

2t + h = 29  

we then subtract them both to cancel out h

3t = (62-29) = 33

now we divide 33 by 3  to find one t

33/3 = 11

so one t shirt is £11.00

now we substitute it back into the equation

2t ( 2x11 ) = 22

22 +h = 29

29 - 22 = 7

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation: The slope is 1/3x, and that means it would pass through (-2,1) if the slope was there. Hope this helps  (:

Answer:

A and D should be correct

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

10 rabbits

+ 3 months = 30 rabbits

40 rabbits

Answer:

10

Step-by-step explanation:

7-(-3)=7+3=10

Answer:

x = 19

Step-by-step explanation:

(10x - 23) and (7x + 34) are vertically opposite angles and congruent, so

10x - 23 = 7x + 34 (subtract 7x from both sides )

3x - 23 = 34 ( add 23 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

Answer: hi, i can’t see the photo

Step-by-step explanation:

Answer:

x- 0,3 y-10,0

Step-by-step explanation:

Hope it helps and let me know if you want an explanation <3 :)

Answer:

−5z−21

Step-by-step explanation:

If factored it is :-5z-21

Answer:

-21-5z

Step-by-step explanation:

-1+(-10)+(-10)-5z

-1-10-10-5z

-1-20-5z

-21-5z

Answer:

b. x=24

Step-by-step explanation:

There are special formulas for finding the sides of a 30-60-90 triangle. The hypotenuse is always equal to 2a and the long leg is always equal to [tex]a\sqrt{3}[/tex].

Since side a is given already as 12. We can substitute 12 for a.

2(12) = 24

Answer:

∠ DEB = 52°

Step-by-step explanation:

The angle between a tangent and a chord is equal to the angle in the alternate segment, that is

∠ DEB = ∠ ABD = 52°

The short answer is that you use the tangent-chord theorem. A more lengthy answer is given below.

=================================================

Explanation:

Refer to the diagram below.

I'm going to move point E so that segment EB becomes a diameter of the circle (it goes through the center point F). Points A,B,C,D will stay in place. The red points and red segments show the changes.

In this slightly redrawn diagram, triangle EDB is a right triangle where angle EDB is 90 degrees. This is due to Thales Theorem, which is a special case of the inscribed angle theorem.

Also, the new segment EB is perpendicular to segment AC because the diameter touching the point of tangency is perpendicular to the tangent line. So angle EBA is 90 degrees.

Since points A, D and B didn't move, this means angle ADB is still 52 degrees. This makes the new angle EBD equal to 90-52 = 38 degrees.

Despite the fact that angle E has moved, it has not effected the size of angle DEB. This angle is the same as its original because we're still subtending the same minor arc DB, and that arc hasn't changed size (since segment DB hasn't changed). So that's why it's valid to use the same x for the old angle DEB in black and the new angle DEB in red. They're the same angle.

-------------

Focus on triangle EBD. We have the following interior angles

For any triangle, the three interior angles must add to 180

B+D+E = 180

38+90+x = 180

128+x = 180

x = 180-128

x = 52

Angle DEB is 52 degrees

It's not a coincidence that we end up with the same angle as shown in the original diagram. The tangent-chord theorem says that the angle between a chord and tangent (as shown in the diagram) is exactly equal to the inscribed angle that subtends the arc formed by the chord. Arc DB is formed by chord DB.

In short, the tangent-chord theorem says that inscribed angle DEB and angle ABD are the same measure (both are 52 degrees).

This demonstration I've shown is one way to prove the tangent-chord theorem. Though a more rigorous proof would involve another variable.

Answer:

[tex]P(H <3) = 0.875[/tex]

Step-by-step explanation:

Given (Missing from the question):

[tex]\begin{array}{cc}{H}&{P(H)&0&0.125&1&0.375&2&0.375&3&0.125\end{array}[/tex]

And the required question is:

Determine the P(H < 3)

P(H <3) implies that: P(H = 0) or P(H = 1) or P(H = 2)

So, we have:

[tex]P(H <3) = P(H = 0) + P(H = 1) + P(H = 2)[/tex]

[tex]P(H <3) = 0.125 + 0.375 +0.375[/tex]

[tex]P(H <3) = 0.875[/tex]

Answer:

0.5

Step-by-step explanation:

That's the right answer on Khan

Answer:

43.693

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex] \tan( 30) = \frac{y}{7 } \\ y = \sqrt{147} = 7 \sqrt{3} \\ {x}^{2} = {7}^{2} + {(7 \sqrt{3}) }^{2} \\ {x}^{2} = 49 + 147 = 196 \\ x = \sqrt{196} = 14[/tex]

Answer:

It didn't work, 40 x 2 = 80

Step-by-step explanation:

have a good day

Answer:

Hey! I don't see any cats :(

Step-by-step explanation:

40x2= 80 !

Hope this helps!

Have a nice day! ♥(>'-'<)

Answer:

(2,-6)

Step-by-step explanation:

You have to go along the X axis then along the Y axis (across the landing, up/down the stairs).

Answer:

Around 200 Dollars

Hope it helps

Answer:

$200

Step-by-step explanation:

Answer:

1. point it to 381.5

2. point it to 33.5

3. point it to 1,436

4. point it to 3,052.1

for pointing it to in terms of pi im confused about because ive tried to get the answer but can't

Step-by-step explanation:

Step-by-step explanation:

if pip gets x

sarah gets x/3

fiona gets 2x

so x+x/3 +2x=100

10x/3=100

x=30

Answer:

The aeroplane would be cheaper.

Step-by-step explanation:

she only has to spend on the pane which would be $2,500.

It is coming around $2,800 (cost of car+gas bills) if she chooses to buy car.

Hope it helps!

Answer:

92.5km/h

your welcome

Answer:

Step-by-step explanation:

the answer is the 3rd one hope this helps:)

Answer:

Step-by-step explanation:

This is the combination of 3, 3 and 2 options.

The number of combinations is:

Correct choice is D

Answer:

1. m∠1 = 48°

2. m∠1 = 129°

3. m∠1 = 37°

4. m∠1 = 88°

m∠2 = 42°

m∠3 = 113°

5. m∠1 = 72°

m∠2 = 35°

m∠3 = 24°

6. m∠1 = 128°

m∠2 = 52°

m∠3 = 47°

m∠4 = 133°

m∠5 = 81°

7. m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 49°

m∠7 = 106°

8. x = 12°

9. x = 9°

10. x = 5°

11. x = 7°

Step-by-step explanation:

1. 76° + 56° + m∠1 = 180°

∴ m∠1 = 180° - (76° + 56°) = 48°

m∠1 = 48°

2. m∠1 = 67° + 62° = 129°

m∠1 = 129°

3. m∠1 = 152° - 115° = 37°

m∠1 = 37°

4. m∠1 = 180° - (52° + 42°) = 88°

m∠1 = 88°

m∠2 = 42°

m∠3 = 180 - (42° + 25°) = 113°

m∠3 = 113°

5. m∠1 = 180° - 118° = 72°

m∠1 = 72°

m∠2 = 180° - 72° - 73° = 35°

m∠2 = 35°

m∠3 = 73° - 49° = 24°

m∠3 = 24°

6. m∠5 = 180° - m∠52° - m∠47° = 81°

m∠5 = 81°

m∠1 = 81° + 47° = 128°

m∠1 = 128°

m∠2 = 52°

m∠3 = 47°

m∠4 = 180° - 47° = 133°

m∠4 = 133°

7. m∠3 = 95°

m∠5 = 180° - 144° = 36°

m∠5 = 36°

m∠6 = 180° - 95° - 36° = 49°

m∠6 = 49°

m∠4 = 180° - 95° = 85°

m∠4 = 85°

m∠2 = 85°

m∠7 = 360° - (38° + 85° + (180° - 49°)) = 106°

m∠7 = 106°

m∠1 = 360° - (85° + 90° + 144°) = 41°

m∠1 = 41°

8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 16·x° - 12° = 180°

16·x = 180°+ 12° = 192°

x° = 192°/16 = 12°

x = 12°

9. (3·x - 5)° + (7·x + 5)° + 90 = 180°

10·x + 90° = 180°

10·x  = 180°- 90° = 90°

10·x = 90°

x = 90°/10 = 9°

x = 9°

10. 180 - 151 = 29°

(11·x - 1)° + (20·x - 3)° + 29° = 180°

31·x° + 25° = 180°

31·x°  = 180° - 25° = 155°

31·x°  = 155°

x = 155/31 = 5°

x = 5°

12. (4·x + 13) + (6·x + 2) + 180 - (14·x - 13)

208° - 4·x° = 180°

208° -  180° = 4·x°

28° = 4·x°

4·x° = 28°

x = 28°/4 = 7°

x = 7°.