The top of the cake to be triangular with one side length 10cm, one side length 12cm and a 90-degree angle between these sides

Answer:

5575 cm³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  If we substitute r = (d/2 where r is the radius and d the diameter), this formula becomes:

                                        πd³

V = (4/3)π·d³/8, or V = -------------

                                           6

and so, if d = 22 cm, the volume is:

        π(22 cm)³

V = ------------------- = 5575 cm³

              6

Answer:

28-8-4x=0

x=5

5 days

Step-by-step explanation:

28-8=20 problems left

then 4 each day

Solution:

Outfit         Shirt       Slacks        Tie

Outfit 1      Blue        Black         Red

Outfit 2     Blue        Grey          Red

Outfit 3    White       Black         Red

Outfit 4    White       Grey          Red

Outfit 5    Black       Black         Red

Outfit 6    Black       Grey         Red

We take the outfits 1, 2 , 5  and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.

Answer:

2/4 quarts of juice is 0.125 Gallons of juice for

Step-by-step explanation:

Please Give Brainliest

Answer:

He divided instead of using multiplication

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

y=2x+4

Answer:

y = 2x + 4

Step-by-step explanation:

The formula for the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is where the line passes through the y-axis, which would be (0,4), which is positive. To find the slope, find where the line passes through a point, and then count how many units there are till the next point. For this example, you could start from the y-intercept, (0, 4) and to get to the next point, you will go up 2 units, and the right 1 unit. This means that the slope is 2/1 (because it's rise over run) which is the same as 2. So just plug it into the equation, and you get y = 2x + 4.

I hope this helped! :)

Answer:

Simplifying

3u = 72

Solving

3u = 72

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Divide each side by '3'.

u = 24

Simplifying

u = 24

3u= 72

three will go to the other side so it will divide

and it well be

u= 24

Answer:

angle C = 36°

Step-by-step explanation:

Fun fact that I found out:

all interior angles of a triangle added together = 180°

5x + 3x + 2x = 180°

combine like terms:

10x = 180°

divide both sides of the equation by 10:

x = 18°

angle C = 2(18°) = 36°

Answer:

6(x - 3 ) = 6x - 18

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

Step-by-step explanation:

Answer:

B. $27,000

Step-by-step explanation:

So 55,000 = 2x + 1,000

Simply for x

55,000 = 2x + 1,000

54,000 = 2x

x = 27,000

Answer:

F=45

Step-by-step explanation:

G is 90 degrees and FC angles combined is 90 and divided is 45 each

Answer:

44

Step-by-step explanation:

[tex] \sqrt{44 \times 2 \times 2 \times 11} [/tex]

[tex] \sqrt{88 \times 2 \times 11} [/tex]

[tex] \sqrt{176 \times 11} [/tex]

[tex] \sqrt{1936}[/tex]

[tex] \sqrt{ {44}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex]44[/tex]

Step-by-step explanation:

[tex] \sqrt{44 \times 2 \times 2 \times 11} \\ = \sqrt{11 \times 4 \times 4 \times 11} \\ = \sqrt{11 \times 11 \times 4 \times 4} \\ = 11 \times 4 \\ = 44[/tex]

Answer:

18 times  a green bead is drawn

Step-by-step explanation:

There are 20 beads in the basket.  The probability of picking a green bead is 6/20 = 3/10.  That means that a green bead would be picked 3/10 of the time.

So, 3/10(60) = 18 times  a green bead is drawn

Answer:

(√3·x - 1)(√3·x + 1)(4x - 3)

Step-by-step explanation:

Note that the last two coefficients are -4 and +3, and the associated factor is (4x - 3).

The first two terms are

12x^3 - 9x^2, which become 3x(4x^2 - 3x) through factoring and then 3x^2(4x - 3).  

Therefore, 12x3 – 9x2 – 4x + 3 can be rewritten as:

                   (4x - 3)(3x^2 - 1).  

It's possible to factor 3x^2 - 1, even though 3 is not a perfect square.  Write 3x^2 - 1 as (√3·x - 1)(√3·x + 1)    

Then 12x3 – 9x2 – 4x + 3 = (√3·x - 1)(√3·x + 1)(4x - 3)

Answer:

( 3 x2 –  1 )( 1  ⇒ 4x –  3 )

Step-by-step explanation:

I did it lol

Answer:

i think 2

Step-by-step explanation:

Answer:

1 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

1 2/3

Step-by-step explanation:

First, you rewrite 5/8÷3/8 as a multiplication problem: 5/8*8/3. Now you simply multiply both numerators and denominators: 5x8/8x3 which equals 40/24. So your final answer will be 40/24 or 1 16/24 which equals 1 2/3.

Answer:

y=x+15

Step-by-step explanation:

Answer:

x = 3, 5

Step-by-step explanation:

(x - 3)(x - 5) = 0

Answer:

1,8,27,64,125

Step-by-step explanation:

Answer:

97.6 cm³

Step-by-step explanation:

Volume of plastic object :

Volume of cylinder - volume of cone

From. The diagram. :

Radius, r = diameter /2 = 4/2

Volume of cylinder = pi*r²h

V = 22/7 * 2² * 8 = 100.53096 cm³

Volume of cone = 1/3*pi*r²h

V = 1/3 * 22/7 * 2² * 8

V = 2.9321531 cm³

(100.53096 - 2.9321531) cm³

= 97.598 cm³

= 97.6 cm³

Answer:

8 m

Step-by-step explanation:

7.5 - 1.5 = 6

2 + 6 = 8

Answer:

4. 50

5. 35

6. 45

7. 30

8. No mode

9. 42

10. 22, 25, 45, 73, 80

11. 15, 25, 30, 48, 50

12. 58

13. 35

14. 51

15. 24

16. 22.13

17. 10.22

18. Iffy's team had a lower performance than Kaiya's team. Iffy's team collected an average of 35 cans, whereas, Kaiya's team collected an average of 50 cans!! Kaiya's team also had very versatile and active players who were able to collect more, individually, unlike Iffy's team.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

so there are two triangles in that shape and they are similar to each other because their angles are equal and the ratio of their sides it 1:2

so the ratio of the side 5x & 40 is 1:2

5x/40=1/2

10x=40

x=4

Answer:

Half of 7 is 3.5

That would be your radius.

3.5^2 x 3.14

12.25 x 3.14 = 38.465 yd2 <--------- area

3.14 x 3.5 x 2 = 21.98yd <------- perimeter

Answer:

I think it is positive.

Step-by-step explanation:

Iam soory if Iam wrong.

Answer:

Step-by-step explanation:

X-intercept means y-coordinate of 0:

4x +7×0 = 28

 4x = 28

   x = 7         ← x-coordinate

Y-intercept means x-coordinate of 0:

4×0 +7y = 28

 7y = 28

   y = 4         ← y-coordinate

Answer:

13 ft

Step-by-step explanation:

The formula to find the length of the diagonal of a rectangle =

Diagonal² = Length² + Width²

Diagonal = √Length² + Width²

Length = 12 ft

Width = 5ft

Diagonal = √12² + 5²

Diagonal = √144 + 25

Diagonal = √169

Diagonal = 13 ft

The length of the diagonal of the rectangle = 13 ft

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 4.5 × 5

We have the final answer as

Hope this helps you