Find the 45th term of the below arithmetic sequence.
-9, -2, 5, 12, ...

Answer:

Step-by-step explanation:

cos30°=√3/2

Answer:

Step-by-step explanation:

Now, this can be tricky.

But, we can use a calculator.

According to the calculator, the answer was 0.7071.

That means 0.7071 is the answer.

This image is optional. Use it for hints.

Answer:

   16 square units

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

Here, it is convenient to choose the base as the vertical segment between y=-5 and y=3. Its length is 3 -(-5) = 8 units.

The height of the triangle is the difference in x-coordinates between that segment and the opposite vertex: 6 -2 = 4.

Then the area is ...

  A = 1/2(8)(4) = 16 . . . square units

Answer:

Yes

Step-by-step explanation:

3/5, 1/2, 2/3, and 3/4 must be 3 or lower if added together.

We need to find the LCM of the denominators. The LCM, or lowest common multiple, of the denominators is 60. So we have to multiply the fractions by the LCM and add them up.

36 + 30 + 40 + 45 = 151.

60 x 3 = 180.

151 isn't up to 180, so yes. And also, if you divide 151 by 60, you would get 2.52 approximately.

Answer: x is 3/5

Step-by-step explanation: your welcome

Angles can be measured in degrees and radians

The measure of angle XYZ is 34 degrees

From the question, the measure of arc XY is 68 degrees

The measure of angle XYZ is then calculated as:

Angle XYZ = 0.5 * Arc XY

This gives

Angle XYZ = 0.5 * 68

Evaluate the product

Angle XYZ = 34

Hence, the measure of angle XYZ is 34 degrees

Read more about angles at:

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Answer:

A. 82°

B. 144°

C. 75°

D. 150°

E. 241°

F. 80°

Step-by-step explanation:

A circle is 360°

A. 360 - 278 = 82 °

B. 360 - (124 + 92) = 144 °

C. 360 - (255 + 30) = 75 °

D. 360 - (118 + 30 +62) = 150 °

E. 360 - (21 +41 + 57) = 241 °

F. 360 - (30 + 60 + 80 + 110) = 80°

Also, the 80° is congruent so it's the same on both sides.

Answer:

Lisa

Step-by-step explanation:

Find the amount of money Lisa and Tara charge every hour.

Lisa's ratio is 28 : 2 hours

Divide both sides of the ratio by 2

Lisa charges 14 dollars per hour

Tara's ratio is 75:5 hours

Divide both sides of the ratio by 5

Tara charges 15 dollars per hour

Lisa charges 1 dollar less each hour, so Lisa offers a better deal.

Hope this helps :)

Have an awesome day!

Answer:

48

Step-by-step explanation:

area of rhombus = Dd/2

area of rhombus = (16)(18)/2 = 144

area of square = 144

side of square = √144 = 12

perimeter of square = 4s = 4(12) = 48

Answer:

78

Step-by-step explanation:

Let the number be y

45/100 * y = 54

y = 120

The number is therefore 120

Hence, 65% of 120 is 78

Answer:

√135 135. Rewrite 135 135 as 32 ⋅15 3 2 ⋅ 15. Tap for more steps... Factor 9 9 out of 135 135. √ 9 ( 15) 9 ( 15) Rewrite 9 9 as 3 2 3 2. √ 3 2 ⋅ 15 3 2 ⋅ 15.

Answer:

14.62

Step-by-step explanation:

3 and (+) square root of 135

3 + square root of 135 (11.62)

3 + 11.62

14.62

Hope this helps!

Step-by-step explanation:

100% = 33,000 ft

1% = 100%/100 = 33000/100 = 330 ft

6% = 1% × 6 = 330 × 6 = 1980 ft

that means the plane has to go down 1980 ft to

33,000 - 1980 = 31,020 ft

and then it goes up by 5000 ft :

31,020 + 5000 = 36,020 ft

that is the final altitude.

Answer:

The final altitude of the airplane is 36,020

Step-by-step explanation:

I took the test

Answer:

246

Step-by-step explanation:

What question makes you do this much but what ever

Answer:

the fourth one

trapezoid has four(4) sides

Answer:

y = 8

Step-by-step explanation:

The line that contains points (0, 8) and (8, 8) is a horizontal line in which every point has 8 as its y-coordinate.

Equation: y = 8

y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

the equation of a line that contains the points (0,8) and (8,8)

Slope=0

We need to find the y intercept

8=b

y=8 is the equation of a line that contains the points (0,8) and (8,8)

Now let us find the equation that represents a line that passes through points (-6, 4) and (2,0).

m=0-4/2+6

=-1/2

Now find the y intercept

0=2(-1/2)+b

b=1

y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0),

Hence, y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)

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Answer:

one

Step-by-step explanation:

one equation

tanks Please brianlist

Answer:

519

Step-by-step explanation:

an = 8n - 1

a65 = 519

final answer is 519

Answer:

Step-by-step explanation:

Given,

Perimeter of a rectangular pool (P) = 40 feet

Length of the pool (l) = 12 feet

Let,

Width of the pool be = w

As we know,

Therefore,

By the problem,

=> 2(l + w) = P

=> 2(12 + w) = 40

=> 24 + 2w = 40

=> 24 - 24 + 2w = 40 - 24

=> 2w = 16

=> [tex]\frac{2w}{2}[/tex] = [tex]\frac{16}{2}[/tex]

=> w = 8

Hence,

The required width of the pool is 8 feet. (Ans)

Answer:

The Width of the pool would be 8 feet/ft. .

Step-by-step explanation:

According to the Question Given:

Perimeter = 40 ft/feet

Length of the pool = 12 ft/feet

To Find:

The width/breadth of the pool

Solution:

We know that,

[tex] \boxed{\tt \: Perimeter \: of \: Rectangle = 2(l + b)}[/tex]

So Put their values accordingly:

[tex]\longrightarrow \tt \: 40 = 2(12 + b)[/tex]

We got an equation.By this method we can easily find the breadth/width of the pool.

Solve this equation:

[tex]\longrightarrow \tt40 = 2b + 24[/tex]

Flip the equation:

[tex]\longrightarrow \tt2b + 24 = 40[/tex]

[tex]\longrightarrow \tt2b = 40 - 24[/tex]

[tex]\longrightarrow \tt2b = 16[/tex]

Divide both sides by 2:

[tex] \tt\longrightarrow \cfrac{2b}{2} = \cfrac{16}{2} [/tex]

[tex]\tt\longrightarrow \cfrac{ \cancel2 {}^{1} b}{ \cancel2} = \cfrac{ \cancel{16} {}^{8} }{ \cancel2} [/tex]

[tex]\longrightarrow \tt1b = 8[/tex]

[tex]\longrightarrow \tt{b} =\boxed{\tt 8 \: feet}[/tex]

Hence, the breadth/width of the pool would be 8 ft./feet .

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Answer:

8

Step-by-step explanation:

3y - 2y + 3 - y + 5

y + 3 - y + 5

3 + 5

8

hope this helps :]

Answer:

8

Step-by-step explanation:

3y - 2y + 3 - y + 5

(3y - 2y - y) + (3 + 5)

0 + 8

8

Hope this helps!

Answer:

76

because if you get 51-31 = 20, 31- 16= 15, 16-6= 10 and 6- 1= 5. they add each number by using a multiplication of 5

Answer:

2nd one: 32-4x=12
4th one:25/x+4=9
5th one : x/5+5=6

Step-by-step explanation:

Substitute x and see if you get the same answer

Answer:

B. 32 − 4x =12

D. 25/x + 4=9

E. x/5 + 5 =6

Answer:

$7.88

Step-by-step explanation:

Step-by-step explanation:

each game of cribbage "binds" 4 people, each hand of chess 2 people.

15 games of cribbage means 15×4 = 60 people are playing. that leaves 0 people and therefore 0 games for chess.

2 games of chess means 2×2 = 4 people are playing.

that leaves 60-4 = 56 people for cribbage making 56/4 = 14 games of cribbage.

13 games of cribbage means 13×4 = 52 people are playing. that leaves 60-52 = 8 people for chess making 8/2 = 4 games of chess.

14 games of chess means 14×2 = 28 people are playing, that leaves 60-28 = 32 purple for cribbage making 32/4 = 8 games of cribbage.

0 people of cribbage means nobody is playing this game, that leaves all 60 people to play chess making 60/2 = 30 games of chess.

Solution:

Given:

Volume of rectangular prism: L x H x B

Use the formula to find the volume.

Finding the volume:

The volume of the rectangular prism is 336 m³.

Answer:

336 meters^3

Step-by-step explanation:

336 meters^3

volume = length x width x height

in this case it would be

6 x 7 x 8 = 336

Answer:

Step-by-step explanation:

\boxed { \pink { m^{2} - n^{2} = ( m + n )( m - n ) }}

A. ( 2a + \_ )( 2a - \_ ) = 4a^{2} - b^{2}

RHS = 4a^{2} - b^{2} \\= (2a)^{2} - b^{2} \\= ( 2a + \pink {b} )( 2a - \pink {b} )

B. ( 5x + \_ )( 5x -\_ ) = 25x^{2} - 0.16y^{4}

RHS = 25x^{2} - 0.16y^{4}\\= (5x)^{2} - (0.4y^{2})^{2} \\= ( 5x +\pink {0.4y^{2} })( 5x - \pink { 0.4y^{2}} )

Answer:

34cm

Step-by-step explanation:

[tex]Solution,\\\\Area=70cm^{2} \\\\Breadth(b)=7cm\\\\Now,\\\\Length=\frac{Area}{Breadth}\\\\Length=\frac{70cm^{2} }{7cm} \\\\Length=10cm\\\\Again,\\\\Perimeter=2(l+b)\\\\Perimeter=2(10cm+7cm)\\\\Perimeter=34cm[/tex]

The required length and perimeter of the rectangle are 7 cm and 34 cm respectively.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
Let the length of the rectangle be l,

Now,
According to the question,
Area of the rectangle, = l × w
70 = l × 7
l = 70 / 7
l = 10 cm

Now,
Perimeter of the rectangle = 2[l + w]
                                        = 2 [10 + 7]
                                        = 34 cm

Thus, the required length and perimeter of the rectangle is 7 cm and 34 cm respectively.

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