In a certain arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Answer:

20.4

Step-by-step explanation:

use trig relations with the angle 74˚

the sides we know are the hyp (74) and the adj side to 74˚ (x).

the trig function associated with hyp and adj is cos.

cos = adj/hyp.

cos 74˚ = x/74

0.27 = x/74

x = 20.39

x = 20.4

Answer:

20.4

Step-by-step explanation:

1. c = b · sin(C) / sin(B) = 20.39716

This is the equation to find x.

c = x

b = 74

C = ?

B = 90

2. C must be found. We know that A is 90 and B is 74.

3. 180 = 90 + 74 + C

According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.

4. 180 = 164 + C

You must do 180 - 164 which equals 16.

5. C = 16

This means that 16 is what C equals. You can finally plug in the equation with all the gathered information

c = x

b = 74

C = 16

B = 90

4.  x = 74 · sin(16) / sin(90) =

You could use a calculator to find the answer.

5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.

Answer:

time=16.3 sec

Step-by-step explanation:

let time taken be x

speed=distance/time taken

2.75=45/x

2.75x=45

x=45/2.75

x=16.36

x=16.3 seconds

The time taken is 16.3 seconds.

Speed = Distance/Time

This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.

Let x be the time taken

speed = distance/time taken

2.75 = 45/x

2.75x = 45

x = 45/2.75

x = 16.36

x = 16.3 seconds

Therefore, the time taken is 16.3 seconds.

To learn more about speed

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Answer:

Step-by-step explanation:

It's a cubic.

It has 1 root that cuts the x axis at x = -4

It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.

y = (x + 4) (x - 3)(x - 3)

Notice the sign change. x has to have sign change when going from a root to a binomial

The root is - 4. The binomial is (x + 4)

The same argument works for x = 3

Answer:

c. the solution is 3 times as large as 5x(465x4)

Step-by-step explanation:

I assume you are using the letter x as the multiplication sign.

Start with:

15 x (465 x 4)

We know that 15 = 3 x 5

Now we replace 15 with 3 x 5 in the original expression.

15 x (465 x 4) = 3 x 5 x (465 x 4)

Answer: c. the solution is 3 times as large as 5x(465x4)

Answer:

a) No

b) Sí

Step-by-step explanation:

a) En la inauguración de unos Juegos Olímpicos, los 38 representantes de una nación quieren desfilar en columnas de 6, ¿es posible?

Esto se calcula como

38 representantes / 6 columnas

= 6 2/6 = 6 1/3 columnas

No, no es posible, tendríamos 7 columnas con 6 columnas con representantes iguales de 6 y la séptima columna tendría solo 2 representantes allí

b) ¿Cómo podrían desfilar en columnas iguales?

Sí pueden

Esto se calcula como 38 representantes ÷ 2

= 19 columnas

Podemos tener 19 columnas con 2 representantes cada una

Answer:

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Answer:

What

Step-by-step explanation:

IS THAT

Step-by-step explanation:

5(4× - 2)

5x4=20

5×2=10

Answer = 20x - 10

Answer:

20x-10

Step-by-step explanation:

Simply multiply.

5 × 4X = 20X

5× -2 = -10

Combine both

20X - 10

Answer:

253 in²

Step-by-step explanation:

Surface area of a cylinder= 2πr (r+h)

The radius is not shown.

Radius= diameter/2

           = 7/2

           = 3.5 in

Surface area= 2xπx3.5 (3.5+8)

                     = 253 in²

*r=radius

h=height

I used the π value from my calculator.

P.S. You can substitute π for 3.14. If you round it to the nearest whole number, you will still get the same answer. Hope this helped!

The picture shows the diameter and the height. First, find the radius from the diameter by dividing by 2.

Answer:

(-7, -4)

Step-by-step explanation:

The midpoint formula is expressed as;

M (X,Y) = {(x1+x2/2), (y1+y2)/2}

Given that M(-4, -3) and (x1, x2) = (-1, -2)

X = x1+x2/2

-4 = -1+x2/2

-8 = -1 + x2

x2 = -8 + 1

x2 = -7

SImilarly;

Y = y1+y2/2

-3 = -2+y2/2

-3*2 = -2+y2

-6 = -2 + y2

y2 = -6 + 2

y2 = -4

Hence the coordinate of B is (-7, -4)

Answer:

[tex]\text{A. }4:81[/tex]

Step-by-step explanation:

Since surface area consists of the sum of the outer faces of each polygon, the ratio of the two surface areas will be equal to the ratio of the side lengths squared (since we multiply them to get area).

The ratio of the corresponding side lengths of the solids are [tex]2:9[/tex]. Therefore, the ratio of their surface areas must be [tex]2^2:9^2=\boxed{4:81}[/tex]

Answer:

A

Step-by-step explanation:

i hope this helped i tried

Answer: [tex]\dfrac{6}{26}[/tex]

Step-by-step explanation:

Given

Denominator is 4 more than twice its numerator

Suppose the numerator is x. So, it follows above condition, fraction becomes

[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]

If both numerator and denominator are reduced by 6, they become equal

[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]

The fraction is

[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]

Answer:

x=4

AB=19

Step-by-step explanation:

in such a parallelogram the length of AD must be equal to the length of BC.

=>

18x = 17x + 4

x = 4

AB = 4x + 3 = 4×4 + 3 = 19

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

Answer:

y = -3

Step-by-step explanation:

y = -0.5(6)

y = -3

Answer:

8

Step-by-step explanation:

7 x 8 = 56 56 - 4 = 52.

3 x 8 = 24 24 + 28 = 52

Answer:

x = 12.2

Step-by-step explanation:

to solve for 'x', we can use the sine ratio of opposite/hypotenuse

we need to find the angle opposite side 'x', which can be found by:

180-(44+90) = 46

sin46° = x/17

x = 17·sin46°

x = 12.2

Answer:

Median :

P = 2 ; Q = 3.5

Variability :

P = 1.5 ; Q = 1.5

Step-by-step explanation:

The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;

For Group P:

Median = 2 inches

For Group Q :

Median = 3.5 inches

To infer the variability :

We calculate the interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot

Locate QI and Q3

Group P:

IQR = Q3 - Q1 = 3 - 1.5 = 1.5

Group Q :

IQR = Q3 - Q1 = 4.5 - 3 = 1.5

Answer:

Step-by-step explanation:

it has a 50/50 chance if it lands on tailes it is 50/50

10.) x-23=-3x+5

x+3=5+23

4x=28

12.) -4ab+5-(-2ab + 3)

-4ab+5+2ab-3

13.) (-3)+(-5)

-3 -5

Answer:

the distance is called the circumference

Answer:

Step-by-step explanation:

Step-by-step explanation:

Given that,

No. of heads = 40

No. of tails = 60

We know that,

Probability = (no. of favourable outcomes)/(total no. of outcomes)

Experimental probability of getting heads,

no. of favourable outcomes = 40

Total no. of outcomes = 40+60 = 100

So,

[tex]P=\dfrac{40}{100}[/tex]

She has taken 60 on denominator. She should have taken 100 instead of 60.

Answer: 13 degrees

Step-by-step explanation:

1. - 2<0

2. (- 2)-(-15)=(-2)+15=13

Answer:

[tex]\text{A. The zeroes are 8 and -4, because }y=(x-8)(x+4)[/tex]

Step-by-step explanation:

[tex]x^2-4x-32=0,\\(x-8)(x+4)=0,\\\begin{cases}x-8=0, x=\boxed{8},\\x+4=0, x=\boxed{-4}\end{cases}[/tex]

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

the third side is 4.

Step-by-step explanation:

Using  Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute

the numbers to show ([tex]\sqrt{65})^{2}[/tex] + [tex]b^{2}[/tex] = [tex]9^{2}[/tex] and solve for b. The square root and square cancel each other out, so you get 65 + [tex]b^{2}[/tex] = 81.

Subtract 65 from both sides to get [tex]b^{2}[/tex] = 16.

Then take the square root of both sides to get b = [tex]\sqrt{16}[/tex] which equals 4.

Answer:

Converting velocity into m/s

72x5/18=20 m/s²

Distance = Velocity *Time

20*5=100m

Step-by-step explanation:

hope it's helpful

X = 21

Y = 30

X:

(3x - 15) + (6x + 6) = 180 -- combine like terms

9x - 9 = 180 -- add 9 to both sides

9x = 189

x = 21

Y:

Plug x into 3x-15

3(21) - 15 = y + 18

63 - 15 = y + 18

48 = y + 18 -- subtract 18 from both sides

y = 30

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation: