Find the indicated term of each arithmetic sequence. 27th term: 59, 56, 53, 50....

Question

Find cos θ for θ = 60°

Answer:

60 miles per hour

Step-by-step explanation:

First, put the equation in a fraction.

You would put 180 up top because people always say miles per hour not the other way around.

You can see the dividing line as your "per" and your "hour" would be the bottom number.  

To find the unit rate, you will divide the numerator (180) and the denominator (3).  

Your final answer should be 60 miles per hour.

[tex]\frac{180}{3} = \frac{60}{1}= 60[/tex]

Answer:

12 boys

Step-by-step explanation:

2 : 1 = 24 : 12

Answer:

d) [tex]8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

      [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]    [tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

Step-by-step explanation:

Explanation

Given expression

           =     [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

By using

        (ab)ⁿ = aⁿbⁿ

         [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]

   =     [tex]\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

After simplification , we get

  [tex]= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

 [tex]= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

[tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

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]

least common multiple of 6,3,2 is 6.

- 6 is the smallest number that is divisible by all three.

Answer:

.5

Step-by-step explanation:

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:

644.67 in^2 remaining

Step-by-step explanation:

So first find the area of this rectangle

rectangle area formula= A=LW

35*26=910

Now we have to find the semi circle value

so we know the diameter is 26 becuase the 2 sides (26 in) are equal and if you fill in the circle the diameter is still 26

A circle formula is

A= π*radius^2

So to find radius divide the diameter by 2

26/2=13

now 13^2=169

Now 169 *3.14 since asked that pi is 3.14

169*3.14=530.66

But Thats the whole circle

The circle that seems to be cut off is half of the original Circle so we half the original circle

530.66/2=265.33

Now we subtract that from the original

910-265.33=644.67

So

644.67 In^2

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-11, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

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.

Step-by-step explanation:

Step-by-step explanation:

x- intercept is the x coordinate when y is 0

4x + 7(0) = 6

4x = 6

x = 1.5

(1.5, 0)

y- intercept is when x is 0

4(0) + 7y = 6

7y = 6

y = 6/7

( 0, 6/7)

I hope this helps!!!

Answer:

5 meters in milli is 5,000. 5,000 is more than 4996

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

one meter equals 1000 millimeters so obv 5 meters is bigger

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:

Answer:

1000m/h

Step-by-step explanation:

You figure out both of the cyclists km/h times but converting their distance in the 12 hours into a rate

Mike McNamara:

[tex]\frac{445}{12}[/tex]

Beryl Burton:

[tex]\frac{446.2}{12}[/tex]

You then divide the denominator (12) by itself so that it becomes 1

Mike McNamara:

[tex]\frac{445}{12}[/tex] = [tex]\frac{445/12}{1}[/tex]

Beryl Burton:

[tex]\frac{446.2}{12}[/tex] = [tex]\frac{446.2/12}{1}[/tex]

You then divide the numerators by what you divided the denominator by (12) to get the km/h

Mike McNamara:

[tex]\frac{445}{12}[/tex] = 37.08km/h (rounded to two decimal places)

Beryl Burton:

[tex]\frac{446.2}{12}[/tex] = 37.18km/h (rounded to two decimal places)

You them have to convert km/h to m/h by multiplying the numerators (37.08 & 37.18) by 1000 to get the distance in metres

Mike McNamara:

37.08 x 1000

= 37080m

=37080m/h

Beryl Burton

31.18 x 1000

= 37180m

= 37080m/h

Therefore Beryl Burton's average speed was faster than Mike McNamara's by 1000m/h

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

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:

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:

15:2

Step-by-step explanation:

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:

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:

[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.

Learn more about Cylinder here:

https://brainly.com/question/12248187

#SPJ2

Answer:

Step-by-step explanation:

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Answer:

8a

Step-by-step explanation:

group all similar terms

3a + 5a = 8a

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:

[tex]\displaystyle -2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

a = 4

b = 8

f(4) = -1

f(8) = -9

Step 2: Find Average Rate