simplify 5(6k+3+7k+3y)

Answer:

Simple interest of Ben :

[tex] \frac{\$650 \times 3.5\% \times 4years}{100} = \frac{9100}{100} = \$91 \\ [/tex]

Ben earn $91 in 4 years.

Answer:

(-4,1)

Step-by-step explanation:

Multiply first equation by 2

4x+6y=-10

Then subtract with second equation you get:

y=1

So put the value in first equation you get :

2x+3=-5

x=-4

Question

Find cos θ for θ = 60°

Answer:

68 inches squared

Step-by-step explanation:

First, the squares:

3*3 = 9

3*3 = 9

9 + 9 = 18

Next, the rectangle inside of the hexagon

3*10 = 30

Finally, the little shapes to the side of the rectangle that we just created:

We can split them into 4 triangles:

1/2(5)*2 = 5

5(4) = 20

Add all the areas up:

18 + 30 + 20 = 68

Answer:

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}[/tex]

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Figure :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}[/tex]

[tex]\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}[/tex]

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.

Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.

Now, the surface area of the cylinder is,

Surface area of the cylinder = Area of the bases + Area of the curved surface

= 2(πr²) + 2πrh

= 2(π × 4²) + (2 × π × 4 × 12)

= 2(50.265) + 301.5928

= 100.5309 + 301.5928

= 402.124 inches²

Hence, the surface area of the cylinder is 402.124 inches².

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Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

[tex] sin(60) = \frac{9}{k} [/tex]

Multiply both sides by k

[tex] k*sin(60) = 9 [/tex]

Divide both sides by sin(60)

[tex] k = \frac{9}{sin(60)} [/tex]

[tex] k = \frac{9}{\frac{\sqrt{3}}{2}} [/tex]

[tex] k = 9*\frac{2}{\sqrt{3}} [/tex]

[tex] k = \frac{18}{\sqrt{3}} [/tex]

Rationalize

[tex] k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

[tex] k = \frac{18\sqrt{3}}{3} [/tex]

[tex] k = 6\sqrt{3} [/tex]

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

[tex] tan(60) = \frac{9}{f} [/tex]

Multiply both sides by f

[tex] f*tan(60) = 9 [/tex]

Divide both sides by tan(60)

[tex] f = \frac{9}{tan(60)} [/tex]

[tex] k = \frac{9}{\sqrt{3}} [/tex]

Rationalize

[tex] k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

[tex] k = \frac{9\sqrt{3}}{3} [/tex]

[tex] k = 3\sqrt{3} [/tex]

Answer:

15:2

Step-by-step explanation:

Step-by-step explanation:

A. 8 cm, 15 cm, 17 cm => This is a right triangle.

B. 20 cm, 21 cm, 29 cm => This is a right triangle.

C. 36 cm, 77 cm, 85 cm => This is a right triangle.

D. 7 cm, 28 cm, 32 cm => This is not a right triangle.

Answer:

the number is 3

Step-by-step explanation:

lets say the number is n

12+2n=18

2n=6

n=3

Hope it helps

Answer:

100 times

Step-by-step explanation:

10^6 - 10^4 = 10^2

10^2 is 100

Step-by-step explanation:

Mei runs 6 days each week.

=> Mei runs 18 days in 3 weeks.

Since she ran 92.16 miles in 18 days,

She ran 92.16 miles / 18 days

= 5.12 miles/day.

Answer:

it is 11.22. i hope this helps

Answer:

The equation is flawed.

Step-by-step explanation:

4x+12x-6=4(4x-7)

simplifying

16x-6=16x-28

-6 does not equal -28

The equation is flawed.

The required simplified solution of the given expression is given as x = 8.5.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x + 12x - 6 = 4(4x + 7)
16x - 6 = 12x + 28
16x - 12x = 28 + 6

4x = 34
x = 8.5

Thus, The required simplified solution of the given expression is given as x = 8.5.

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Answer:

1

Step-by-step explanation:

i am not sure but that is what i got.

Answer:

b). Commutative property

Step-by-step explanation:

Answer:

12 boys

Step-by-step explanation:

2 : 1 = 24 : 12

Answer:

1) . Divide that number by 12 months

1620/12 = 135

2) 3 x 7 = 21

21 pounds lost

3) 0 - 4 - 4 - 4 + 2 = -10 points

hope this helps :)

Step-by-step explanation:

Answer:

1. 135

2. 21

3.-10

Step-by-step explanation:

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

2×4=8

8×3= 24

Answer:

24 goals

Step-by-step explanation:

So we know that Jake scored 2 goals in soccer the season and we also know that Jamie scored 4 times as many goals as Jake so what we can do is take 2 and multiply at by 4 to get 8 goals for Jamie.

Now we know that Jamie scored 8 goals so we can do since we know that Edgar scored 3 times many goals as Jamie is take 8 and multiplied by 3 to get 24, so now we know that Edgar scored 24 goals in total.

Answer:

12 poibts i think sorry if wrong

Answer:

y = –x +8

x + y = 8

(10 -5) is the rise and (-2-3) is the run

Answer:

Step-by-step explanation:

Mean of first five natural numbers =  sum of first 5 natural numbers ÷ 5

                                         = (1 + 2 + 3 + 4 + 5)÷ 5

                                        = 15 ÷ 5

                                       = 3

Answer:

6r + 10

Explanation:

2(5 + 3r)

= (2)(5 + 3r)

= (2)(5) + (2)(3r)

= 10 + 6r

= 6r + 10

Step-by-step explanation:

a^0b^-2...place -2 and -3 respectively

(-2^0)(-3^-2)

(1)(1/-3^2)

(1)(1/9)

Answer:

Scale factor = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Scale factor of the two similar figures is given by the formula,

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of Original}}[/tex]

Here, it's given that smaller figure = image

And larger figure = Original

Therefore, scale factor = [tex]\frac{15}{25}[/tex]

                                      = [tex]\frac{5\times 3}{5\times 5}[/tex]

                                      = [tex]\frac{3}{5}[/tex]

Answer: Scale factor = [tex]\frac{3}{5}[/tex]

Answer:

10z-6q..............

Answer:

2n+7

Step-by-step explanation:

find the difference

and see the difference from the 2 Times table to the original sequence

and write it as an equation for this sequence

Answer:

A

Step-by-step explanation: