Find C.
Round to the nearest tenth.
с
17 ft
8 ft
B
А
16 ft
C = [ ? ]
Law of Cosines : c2 = a2 + b2 - 2ab cos C
Enter

Find C.Round To The Nearest Tenth.17 Ft8 FtB16 FtC = [ ? ] Law Of Cosines : C2 = A2 + B2 - 2ab Cos CEnter

Answers

Answer 1

Answer:

[tex]C=69.1^{\circ}[/tex]

Step-by-step explanation:

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex].

Plugging in given values, we get:

[tex]16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}[/tex].


Related Questions

what is thirty five percent

Answers

this makes no sense 35 percent of what

Answer:

i dont know what you need 35% as but..

Step-by-step explanation:

Decimal : 0.35

Fraction: 7/20

PLEASE HELP ME
Solve for X and Z

Answers

9514 1404 393

Answer:

x = 1z = 11

Step-by-step explanation:

If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:

  2(2x+1) = 8x-2

  4x +2 = 8x -2 . . . . eliminate parentheses

  4 = 4x . . . . . . . . . . add 2-4x to both sides

  1 = x . . . . . . . divide by 4

__

The above assumption makes the two segments marked with z-expressions be the same length:

  3z = z +22

  2z = 22 . . . . . .  subtract z

  z = 11 . . . . . . . . . divide by 2

The values of X and Z are 1 and 11, respectively.

I just learned this kind of confused :(

Answers

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

2. Solve the equation for x.
14 - x = 5x - 4

Answers

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

4/-2 flipped over the x axis

Answers

Answer:

I suppose that here we have:

"(4, - 2) flipped over the x-axis"

Regardless of that, i will answer this in a kind of general way.

When we have a point (x, y) and we do a reflection over the x-axis (or the line y = 0, is the same) the reflected point will be (x, - y)

If we instead had a reflection over the y-axis (or the line x = 0) the reflected point will be (-x, y)

Then if we have the point (4, -2) and we have a reflection over the x-axis, the sign of the y-component needs to change.

Then the reflected point will be (4, -(-2)) = (4, 2)

Please help, pic attached!

Answers

Answer:

(y − 9) (y − 2)

Step-by-step explanation:

Factor  y^2 − 11y + 18 using the AC method.

(y − 9) (y − 2)

The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.


HELP!! Mr. Posey is buying a baseball bat that normally cost $160. It is now on sale for 24% off. If sales tax is 10%, how much will he pay for the baseball bat?

Answers

Answer:

he will pay $133.10

Step-by-step explanation:


Solve for x.
And solve for Z

Answers

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

Solving for x:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

Solving for z:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]

the difference of a number t and 9

t-9 or 9-t

Answers

T-9 the Clue is in the Problem I hope this helps

Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help

Answers

Answer:

3x+9

Step-by-step explanation:

If it’s multiple choice the other one is

x +1+1+1+x +1+1+1+ x +1+1+1

I hope this helps!


Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?

A. 0
B. 1
C. 2
D. Infinitely many





Answers

The answer is C.2 that is the answer

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

At store A, rulers are sold individually. The cost y of x rulers is represented by the equation y = 0.95x. The costs of rulers at store B are shown in the table. Number of Rulers (x) Cost (y) 5 $4.60 10 $9.20 15 $13.80 20 $18.40 Use the slope of each store to determine which store charges more per ruler. Explain.​

Answers

Answer:

The ruler at store A cost more

Step-by-step explanation:

Ruler A=$0.95 per ruler

Ruler B=$0.92 per ruler

Which statements are true? Select all that apply.​

Answers

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

Estimate 307% of 29.

Answers

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?

Answers

Step-by-step explanation:

A computer software company models its profit with the function :

[tex]P(x) = x^2 + 15x -34[/tex] ....(1)

Where

x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.

We need to find the number of games the company sell to get $16,000 in profit.

Put P(x) = 16,000 in equation (1).

[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]

Using quadratic formula with a=1, b=15, c=-16034.

[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]

Neglecting negative value,

No of games = 134 (approx)

Solve this equation. Please show work.

log(4m-10)=1

Answers

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

Solve for the variable. You may use the hangers to help you.

40 = 2f + 12
f
f
40
12

Answers

Answer:

i don't know what the hangers are for but the calculation is given below

Step-by-step explanation:

40 = 2f + 12

40 - 12 = 2f

28 = 2f

28/2 = f

14 = f

therefore f = 14

100 pts for a few questions Ill give brainliest! (if you answer 5 ?s you get the other 50)

Answers

Answer: ik nothing of basketball sorry

Answer:

11

Step-by-step explanation:

its the most common number

what is the value or |-12.7| and |11.1/4| ?

Answers

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

2.) Which is equivalent to 3 (а- 9)?
За - 9
OOption 2
оза + 9
оза - 27

Answers

Answer:

3a-27

Step-by-step explanation:

Distribute the 3

3 x a is 3a

3 x 9 is 27

3a - 27

distribute the 3 to everything in the parenthesis

3 (a) = 3a
3 (-9) = -27

What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.

Answers

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

1. Gold is an element. What does an element of gold contain? (S8P1.a) DOK 5 point
1
one kind of compound
O a single type of atom
O a simple mixture of different atoms
O one mixed substance of two different metals

Answers

One single type of atom.

PLEASE ANSWER I REALLY NEED HELP

Determine which of following points lie in the solution set of the inequality y >= 2x-4 and which do not. Justify each choice.

a) (5,4)
b) (0,1)
c) (10,16)
d) (2,-1)

Answers

Plug in the x and y values in the inequality.
A) 4>2(5)-4 C) 16>2(10)-4
4>6 16>16


B) 1>2(0)-4 D) -1>2(2)-4
1>-4 -1>0

Solution B makes sense since 1 is greater than -4. Solution A and D does not because they are less than the y value. Solution C isn't either because the inequality is saying the y value is greater than the x value and not equal to.

The points lie on the given inequality y ≥ 2x-4 are  (0,1) and (10,16)

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that an inequality y ≥ 2x-4

We need to check whether the given points lie on the solution of the inequality or not,

1) (5, 4)

Put x = 5

2×5-4 = 10-4 = 6

4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,

2) (0, 1)

Put x = 0

2×0 - 4 = 0-4 = -4

1 ≥ -4, satisfying the condition hence lies on the solution.

3) (10, 16)

Put x = 10

2×10-4 = 20-4 = 16

16 = 16. satisfying the condition hence lies on the solution.

4) (2, -1)

Put x = 2,

2×2-4 = 4-4 = 0

-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,

Hence, points lie in the solution set of the inequality are (0,1) and (10,16)

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ2

You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.

Answers

Answer:

x ≥ 42

Step-by-step explanation:

If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.

The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)

If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42

I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.

Answers

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

Pierre had $42 before he paid his club dues. Evaluate the expression 42 − d for d = 25 to find how much money Pierre had left after he spent $25 on dues

Answers

Answer:Pierre has $17 left

Step-by-step explanation:

Amount of money before dues = $42

according to the expression 42-d, d represents dues= $25

Amount left = Amount of money before dues - Amount of dues

                  = $42- $25

                  =$17

Pierre has $17 left after he spent $25 on dues.

BlacIf w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1?

(-2) 2 - (-8) + 1
(-2) 2 - (8) + 1
-2 2 - (-8) + 1
-2 2 - 8 + 1

Answers

Answer:

-2²   - (-8)  + 1

Step-by-step explanation:

The values given are:

             w = -2 and v = -8

Expression given:

             w² - v + 1

When we substitute, we put a certain value in place of another. In an equation, variables are used as placeholders.

 For this problem:

     w = -2

      v  = -8

So;

            -2²   - (-8)  + 1

Answer:

Given that w=-2 and v=-8

The expression is w²-v+1

Now putting the value of w=-2 and v=+8 in the given expression, we get

(-2)²-(-8)+1

Hence, (-2)²-(-8)+1 is the right answer.

20x^2/12x+8 simplified

Answers

20/12 4 52/3 52+/3.+8

my head is empty for now, i rly can't with online classes

so anyone wanna help me?

Answers

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

7x (6 x t) and (7 x 6) x t​

Answers

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.

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