Find cos(B) in the triangle.
B
3
C
4
A
5

Answer:

Step-by-step explanation:

Given

Find [tex]a_{43}[/tex]

We know that

Appy this to the two known terms and find the first term and the common difference

Find the coomon difference

Find the first term

Now find the 43th term

Answer:

-98

Step-by-step explanation:

General form of an arithmetic sequence:

  [tex]a_n=a+(n-1)d[/tex]

where:

Given:

To find the 43rd term we need to construct an equation for the nth term.  To do this, find the first term and the common difference by substituting the given information into the general formula to create a system of equations that can be solved.

[tex]\begin{aligned} \underline{\textsf{Equation 1}}} \\ a_{21} & =-32 \\ \implies a+(20-1)d & = -32 \\a+20d & =-32 \end{aligned}[/tex]

[tex]\begin{aligned} \underline{\textsf{Equation 2}}} \\ a_{50} & =-119 \\ \implies a+(50-1)d & = -119 \\a+49d & =-119 \end{aligned}[/tex]

Subtract Equation 1 from Equation 2 to eliminate a:

[tex]\begin{array}{r l}a+49d & = -119\\- \quad a+20d & = -32\\\cline{1-2}29d & = -87\end{aligned}[/tex]

Solve for d:

[tex]\implies d=\dfrac{-87}{29}=-3[/tex]

Substitute the found value of d into one of the equations and solve for a:

[tex]\implies a + 20(-3)=-32[/tex]

[tex]\implies a=28[/tex]

Substitute the found values of a and d into the general formula to create an equation for the nth term:

[tex]\implies a_n=28+(n-1)(-3)[/tex]

[tex]\implies a_n=31-3n[/tex]

Finally, substitute n = 43 into the found formula to find the 43rd term of the sequence:

[tex]\implies a_{43}=31-3(43)=-98[/tex]

Learn more about arithmetic sequences here:

https://brainly.com/question/27806372

https://brainly.com/question/27783089

Answer: 41.

Step-by-step explanation: To find the mean of a data set, you first need to add all the numbers together.  It should look like this:

28 + 40 + 53 + 39 + 45 = 205.

The next step is to divide 205 by how many numbers you have in the data set.  In this case, you have 5 numbers in the data set.  Your work should look like this:

205 / 5 = 41.

Therefore, the mean of the data set is 41.

Hope this helps! :)

Answer:

a=21° b=70°

Step-by-step explanation:

a=21°(Vertically Opposite Angles)

b+110°=180° (linear pair)

b=180-110

b=70°

[please mark me brainliest]

Answer:

a = 21°

b = 70°

c = 89°

Step-by-step explanation:

angle of measure b and the angle of measure 110 are two supplementary angles

Then b + 110 = 180

Therefore b = 180 - 110 = 70°

angle of measure b and the angle of measure 21 are two opposite angles

Then a = 21

We Know that the sum of the interior angles of a triangle equal to 180

Then a + b + c = 180

Therefore c = 180 - a - b = 180 - 21 - 70 = 159 - 70 = 89°

2u+14

hope it helps...!!!

Answer:

9.9

Step-by-step explanation:

31

+ 65

96

96/9.7=

9.89 =

9.9

Hey there!

31 + 65 / 9.7

= 96 / 9.7

= 9.896907

31 ≈ 30

65 ≈ 70

9.7 ≈ 10
9.896907 ≈

30 + 70 / 10

= 100 / 10

= 10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Card 9: 62.8 Card 10: 235.5 Card 11: 79.94 Card 12: 230.79

Step-by-step explanation:

Answer:

15 and 4

Step-by-step explanation:

we must first find the Factors:

1,    2,    3,   4,    5

60, 30, 20,  15,  12

Now we can add them to find what adds to 19

1+60 = 61

2+30 = 32

3+20 = 23

4+15 = 19

Add 12 to the current age:

Y = 15 + 12

Answer:

y=15x12

Step-by-step explanation:

Answer:

t = 2

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

[tex]log_{4}[/tex] (7t + 2) = 2 , then

7t + 2 = 4² = 16 ( subtract 2 from both sides )

7t = 14 ( divide both sides by 7 )

t = 2

Answer:

t = - 4/13

Step-by-step explanation:

Answer:

f(8)= -16 + 6

Step-by-step explanation:

f(x) = -2x + 6(4-3)

f is a function. In this case, a function of variable x. So wherever x is written, swap it by the variable of a number which is 8.

Answer:

1.35 to nearest whloe ounce

Answer:

(x-0.5)^2=0

Step-by-step explanation:

x^2-x+0.25=0

(x-0.5)^2=0

Answer:

280 in ^2

Step-by-step explanation:

Hi ok heres how I did this:

SA of rectangular prism: S = 2(lw + lh + wh)

SA of triangle top thing(whats it called???): Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

So basically for the square part, the surface area is

2(4*4+4*12+4*12), or 224

For the triangle part, the surface area is

4+4+4, or 12*4+2*4, or 48+8, or  56

224+56=280

The thing is I don't know why it says round though. Theres a chance its incorrect if they want something with a decimal. Let me know.

Answer:

I think

Step-by-step explanation:

25x9

is 225

which should be it

Answer:

5 : 7

Step-by-step explanation:

First figure  surface    a * a * 6  = 6 a^2

  now scale the dimesion by x

      ax * ax * 6 =  6 a^2 x^2

                        =  150 x^2   = 294

                           x^2 = 294/150

                            x = 7 : 5      is th ratio of the larger to the smaller

Answer: $6.48

Step-by-step explanation:

1.60 * 0.1 = $0.16

1.60 - 0.16 = $1.44

1.44 * 4.5 = $6.48

Check the picture below.

[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=29\\ h=48\\ V=5568 \end{cases}\implies \begin{array}{llll} 5568=(29)w(48)\implies \cfrac{5568}{(29)(48)}=w \\\\\\ 4=w \end{array}[/tex]

$2,940.00

Yw and pls mark me brainiest

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The range for the given function is ~

[tex]\qquad \tt \dashrightarrow \: - 6 \leqslant y \leqslant 9[/tex]

Because, maximum value of y is 9 and minimum value is -6. so range lies between these two points (including them).

Answer:

14.26

Step-by-step explanation:

7/3 x 5/3 x 11/3 = 7(5)11/(3³)

35 x 11 = 385/27

385 / 27 = 14.26

Region A is the region that represents the graph of the feasible region

For the given constraints

y ≥ 2x x y ≤ 14 y ≥ 1 5x y ≥ 14 x y ≥ 9

Let's look to the graph to answer the question

y ≥ 2x represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line

The solution is in the A region

x + y ≤ 14 represented by the line shown in figure

The sign of inequality is smaller than, then the shaded part will

be under the line

The solution is in A or B or C regions

y ≥ 1 represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line.

The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

inequality means in the equation

The solution is in A or B or C regions

5x + y ≥ 14 represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line

The solution is in A or B or C regions

x + y ≥ 9 represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line

The solution is in A or B regions

From all the above the common region in the five inequalities is A

Region A is the region that represents the graph of the feasible region

for the given constraints.

To learn more about the inequality visit:

https://brainly.com/question/24372553

Answer:

A

Step-by-step explanation:

The Answer is A on Edge as of 2022

Hey there!

3.0 * 10^8

= 3.0 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10

= 3.0 * 100 * 100 * 100 * 100

= 3.0 * 10,000 * 10,000

= 3.0 * 100,000,000

= 300,000,000

Therefore, your answer is:

300,000,000

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Use pythogeream theroem:

Explanation in image attached :)

[tex]\pi r^{2}[/tex]Answer:

You must know the radius but...

Step-by-step explanation:

The formula to find volume of a cylinder is: B*h

B= area of base

h=height

To find the area of the base you need to know the radius since the formula to find area of a circle is: [tex]\pi r^{2}[/tex]

Once you find the area of the base you just multiply it by the height