Use the law of cosines round to the nearest tenths

Use The Law Of Cosines Round To The Nearest Tenths

Answers

Answer 1

Answer:

x = 11.5

Step-by-step explanation:

Formula

a^2 = b^2 + c^2 - 2*b*c * cos(A)                     Substitute givens in formula

Givens

b = 31c = 26A = 21oa = x                                                      Let a = x to present the formula in it's most normal way

Solution

a^2 = 31^2 + 26^2 - 2 * 31 * 26 * cos(21)       Find -2*31*26*cos(21)

a^2 = 961 + 676  -1504.93                             Combine

a^2 = 1637 -1504.93                                      Combine again

a^2 = 132.07                                                   Take the √ on both sides

√a^2 = √132.07

a = 11.5 Rounded.

Answer

x = 11.5


Related Questions

Determine the intercepts of the line.y=−2x−21
help please now

Answers

Answer:

( -10.5 , 0 ) and ( 0 , -21 )

Step-by-step explanation:

→ Determine where a line intersects

x and y intercept

→ Set x equal to 0 to find y - intercept

( 0 , -21 )

→ Set y equal to 0 to find x intercept

0 = -2x - 21

→ Add 21 to both sides

21 = -2x

→ Divide both sides by -2

-10.5 = x

Can someone give me the answer to this and explain it please for 100 points!

Answers

Answer:

10

Step-by-step explanation:

Evaluate for x=4

[tex]\frac{3(4+4)(4+1)}{(4+2)(4-2)}[/tex]

[tex]=\frac{120}{12}[/tex]

[tex]=10[/tex]

I Hope This Helps :)

Can you Mark Me As Brainliest

Answer:

c

Step-by-step explanation:

3*8*5/(6*2)=10

Find the slope of every line that is parallel to the line on the graph.​

Answers

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

[tex]Slope=\frac{-2-(-1)}{0-5}[/tex]

==> simplify numerator and denominator

[tex]slope = \frac{1}{-5}[/tex]

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

f(z)=(1/3)

h(z) = z+4/z-2

evaluate (h•f)(0)

Answers

The value of the composite function (h•f)(0) is -2/3

How to solve the composite function?

The functions are given as:

f(z)=(1/3)

h(z) = z+4/z-2

Start by calculating f(0) and h(0)

f(0) = 1/3

h(0) = (0+4)/(0-2)

h(0) = -2

The composite function is then calculated as:

(h•f)(0) = h(0) * f(0)

This gives

(h•f)(0) = -2 * 1/3

Evaluate

(h•f)(0) = -2/3

Hence, the value of the composite function (h•f)(0) is -2/3

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what is the square root of 10,000​

Answers

100 and -100 are the two solutions for the square root of 10,000

Answer:

100

Step-by-step explanation:

The square root of 10000 can be written as (10000)1/2. Thus,

(10000)^/2 = (100 × 100)^1/2

(10000)^1/2 = [(100)2]^1/2

(10000)^1/2 = (100)^2/2

(10000)^1/2 = (100)^1

So,

√10000 = 100

how many feet?
help me please thank u​

Answers

Answer:

[tex]\fbox {4.26 feet}[/tex]

Step-by-step explanation:

Picturing this, we find a right triangle.

By taking the sin ratio, we can find the slanted part.

⇒ sin 28° = 2/x = 0.469471563

⇒ x = 2/0.469471563

⇒ x = 4.26 feet

PLS HELP FAST!! WILL GIVE BRAINLEIST!
Examine the intersection of these two lines: In photo
Which of the following pairs of angles are
supplementary? Select all that apply.
1 and 2
1 and 3
1 and 4
2 and 3
2 and 4
3 and 4

Answers

Answer:

1 & 3

1 & 4

2 & 3

2 & 4

Step-by-step explanation:

Any angles that are next to each other on a straight line will add to 180. If they are across from each other (like 1 & 2 or 3 & 4) those are vertical angles. They are equal.

I think it is 1&3 1&4 2&3 2&4

What is the branch of mathematics developed by isaac newton called today?.

Answers

Answer: Calculus.

Step-by-step explanation: He created calculus.

true or false 5x +11 = 7 is an expression

Answers

Answer: False

Step-by-step explanation: An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Expressions do not have an equal sign because they do not have an answer.

Mr. Peter charges $ 2.25 for the usage of laptop for 9 hours. how much victor needs to pay for 15 hours of usage ?

Answers

Answer:

3.75

Step-by-step explanation:

if 2.25 is the cost for 9 hrs then divide by 9 and find one hr. (.25$) then multiply by 15 hrs and kabam you have it

(MARKING BRAINLIEST TO FIRST CORRECT ANSWER!) Which statement below is true?
A. All squares are rectangles because both are quadrilaterals, have 90 degree angles and the opposite sides are parallel.
B. All trapezoids are rectangles because the opposite sides are parallel.
C. All parallelograms are rhombus' because they have 4 congruent sides and the opposite sides are parallel.
D. All rectangles are trapezoids because all the sides are parallel.

Answers

Answer:

A. All squares are rectangles because both are quadrilaterals, have 90-degree angles and the opposite sides are parallel.

Step-by-step explanation:

This is the only true statement because all squares are rectangles just with equal sides, the angles will always be 90-degrees.

Hope this helps!

If not, I am sorry.

A boy earned $435, $230, and $562 for 3 consecutive months. How much did he earn in the fourth month so that he gets an average earning of $500 in these 4 months?

Answers

Answer:

The boy earned $773 in the fourth month.

Step-by-step explanation:

1) First, we need to find the total amount of money he needs so that the average of the 4 months would be 500. We can do this by multiplying 500 and 4 (essentially, we are working backward when trying to find the average) [tex]500*4=2000[/tex] So, we know that the boy needs $2000 total by the end of the fourth month to make the 4-month average $500.

2) Now, we know how much the boy made for the first 3 consecutive months, so add those numbers up. [tex]435+230+562=1227[/tex] So within the first 3 months, the boy made $1227.

3) Finally, we know how much money the boy needs by the end of the fourth month and how much he made by the third, so to figure out how much he earned in the fourth month, we can simply subtract $1227 from $2000. [tex]2000-1227=773[/tex]

constant equality 123

Answers

Answer:

using the identity (a±b) ² = a² + b² ± 2ab

1) X² + 1 - 2X

2).x² + 4 - 4x

3) 9 + x² - 6x

4) y² + 16 - 8y

5) 4x² + 1 - 4x

6) 9 + 4y² - 6y

7) 4x² + y²- 8y

8) 1 + 16a² - 8a

9) 9x²+ 4y² - 12xy

10) -x²- 16y² + 8y

11) -x²- 25y + 10xy

The surface area of the triangular prism is
.

Answers

Answer:

576 m

__________________________________________________________ The surface area of the triangular prism is (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

For this question,
you know that the perimeter of the base is 6+10+8 which is 24.
and the length of the prism is 22,
so (22x24) + Base Area which is (6x8)/2-> 24x2
(22x24)+(24x2)= 528 + 48 = 576
so your answer is 576
__________________________________________________________

Hope this helped!

Tahir purchase to toys for his children he buyS spider-man and barbie doll for rs. 3,000 and rs. 5,000 respectively if a discount of 20% is offered on all toys find amount of discount in the sale price for each toy

Answers

For the spider man the discount is of rs600, for the doll the discount is of rs1,000.

How to find the amount of discount for each toy?

We know that the price of the spider-man is rs3,000, and we apply a discount of the 20%.

So the amount of discount for that toy is the 20% of rs3,000, which gives:

(20%/100%)*rs3,000 = rs600

So the amount discounted for the spider-man is rs600.

For the case of the doll, we know that its cost is rs5,000, the amount discounted is:

(20%/100%)*rs5,000 = rs1,000

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Can someone look at the screenshot and help me?

Answers

Answer:

[tex]\boxed {A) m < CVB}[/tex]

Step-by-step explanation:

If C is a point inside ∠AVB, then :

⇒ m ∠AVC + m ∠CVB = m ∠AVB

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

Answers

The value of x if both lines intersect is 2/3

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4

The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2

If the lines intersect, then h(x) = g(x)

Substituting the functions to get the value of "x"

-3x + 4 = 2

Subtract 4 from both sides

-3x + 4 - 4 = 2 - 4

-3x = - 2

Divide both sides by - 3

x = 2 / 3

Hence the value of x if both lines intersect is 2/3

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Answer:

2/3

Step-by-step explanation:

edge23

If log_2(3) = a and log_2(10) = b then an expression for log_2(90) is

Answers

[tex]\log_290=\log_2(3^2\cdot10)=\log_23^2+\log_210=2\log_23+b=2a+b[/tex]

A number is 5 more than 3 times another number. the sum of the two numbers is 33. as an equation, this is written x 3x 5 = 33, where x represents the smaller number. plug in the numbers from the set {3, 5, 7, 9} to find the value of x. the value of x that holds true for the equation is . so, the smaller number is and the larger number is .

Answers

Answer:

Step-by-step explanation:

Equation

x + 3*x + 5 =33

Solution

4x + 5 = 33

x = 3

4*3 + 5 =? 33

12 + 5 = ? 17         x is not 3

x = 5

4*5 + 5 = ? 33

20 + 5 = 25          x is not 5

x = 7

4*7 + 5 =? 33

28 + 5 = 33             x = 7 is the answer

The value of the variable x will be 7 that holds true for the equation.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A number is 5 more than 3 times another number.

The sum of the two numbers is 33.

Let the number be x.

Then the another number will be 3x + 5.

Then the equation will be

x + 3x + 5 = 33

Then the value of x will be

4x + 5 = 33

4x = 28

x = 7

Then the value of the variable x will be 7 that holds true for the equation.

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Select the correct answer from each drop-down menu. (Will give brainliest)


(Picture below options are 19.5, 29, 58 for both multiple choice)

Answers

The angle BAC will be 29 and the angle BOC will be 58.

What is the circle theorem?

The angle in a circle's centre is twice that at its perimeter when two angles are subtended by the same arc. So, angle AOB = 2 angle ACB. Angles that the same arc subtends at its circumference are equal. As a result, angles inside a section are equal.

Here the given angle is ∠BDC = 29 so from the given theorem the angle BEC will be equal to the angle BDC.

∠BDC = 29

The centre angle BOC will be twice the angle at the circumference so the angle will be twice.

∠BOC = 59

Therefore the angle BAC will be 29 and the angle BOC will be 58.

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What is the equation of the parabola shown with its directrix on this graph?

Answers

The answer is option b because I just know

Which graph represents this equation?

5y = x + 5

A.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
B.
A line is graphed in xy plane ranging from negative 8 to 8 in increament of 1. The line raises through (negative 8, negative 2) ,(0,1) and (1,5).
C.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 5, 4), (0, 5), and (5, 6).
D.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 2, negative 5), (negative 1, 0), and (0, 5). need answer quick

Answers

Graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the equation of the line:

5y = x + 5

After plotting the line on the coordinate plane.

The above line passes through:

(-5, 0), (0,1), and (5,2)

And the line rises from (-8, -0.5), (-5, 0), (0,1), and (5,2)

Thus, graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.

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Answer:  A. A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).

Step-by-step explanation:

21. You and your sister have been saving and decide to buy a PlayStation 5 together. You need $500 to buy the PlayStation. Together you have $850 saved up. Since you have more money, you contribute 50% of your savings and your sister contributes 75% of hers toward the $500 cost. How much do each of you have saved individually?

Answers

Answer:

I have $550; my sister has $300.

Step-by-step explanation:

Let the amount I have be x.

Let the amount my sister has be y.

We have a total of $850, so

x + y = 850

50% of my amount plus 75% of my sister's amount equals $500.

0.5x + 0.75y = 500

We have a system of two equations:

x + y = 850

0.5x + 0.75y = 500

Multiply the second equation by 2 and subtract the first equation from it.

0.5y = 150

y = 300

x + y = 850

x + 300 = 850

x = 550

Answer: I have $550; my sister has $300.

4. Find the area:
23 m
5 m
379m²
389m²
74m²
5 m
18 m
6 m

Answers

Answer: 379 meters squared

Step-by-step explanation:

Hello!

So, to calculate this area, we need to split it into 3 squares.

You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.

Area of a square (in this case rectangle) = Lenght multiplied by width

We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.

The first square will be the big one:

To get the length of the big square, we need to subtract 5 from 23.

Length of big square = 18 meters

And the width is also 18 meters

Area of the big square = 18 * 18 = 324 meters squared

Now, let's calculate the top left square's area.

That will be 5 meters * 5 meters.

Area of top left square = 25 meters squared.

Top right square's area = 6 meters * 5 meters.

Area of top right square = 30 meters squared

Now, we just gotta add them all up:

324 + 25 + 30 meters squared = 379 meters squared

Hope I Helped!

Can someone pls help me with this fast thank you​

Answers

Answer: Yes

Step-by-step explanation:

[tex]\frac{123}{2}=\frac{246}{4}=\frac{369}{6}=\frac{492}{8}=61.5[/tex].

Since the ratio of distance in miles and the time in hours is constant, the relationship is proportional.

Error Analysis Your classmate
says she drew HJ as an altitude of
triangle ABC. What error did she make?

Answers

Answer:

Step-by-step explanation:

Remark

An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.

It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.

Find the percent of the area under the density curve where xxx is more than 333.

Answers

Answer:

25%

Step-by-step explanation:

Got it right on khan

Answer:

60%

Step-by-step explanation:

its right on khan

may I have some assistance please
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.

Answers

The method that can be used to write the equation of a line in slope-intercept form given two points is option A.

Calculations and Parameters

When a person wants to write the equation of a line in slope-intercept form given two points, he would have to:

Know the two pointsUse them to find the slopeYou would get the value of mUse it to solve the equation y= mx + bFind the y-intercept

Therefore, the answer is option A.

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solve on the interval please help!

Answers

Answer:

Ф = 2pi/3 , 4pi/3

Step-by-step explanation:

1 + cos Ф = 1/2

Subtract 1 from each side

1 + cos Ф -1 = 1/2-1

cos Ф = -1/2

Take the inverse cos of each side

cos^-1 ( cos Ф )= cos^-1(-1/2)

There are two solutions for the inverse cos of (-1/2), 2pi/3  and 4pi/3

 Ф = 2pi/3 +2 npi  

Ф = 4pi/3  + 2n pi  where n is an integer

We are limited to the interval between 0 and 2pi

Ф = 2pi/3 , 4pi/3

What is the equation of the line that passes through the point (6,-4) and has a slope
of-1/3

Answers

__________________________________________________________

[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________

[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
__________________________________________________________

[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
__________________________________________________________

[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
__________________________________________________________

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