Abby used the law of cosines for trianglekmn to solve for k. k2 = 312 532 – 2(31)(53)cos(37°) triangle k n m is shown. the length of k n is 53, the length of n m is k, and the length of k m is n. law of cosines: a2 = b2 c2 – 2bccos(a) what additional information did abby know that is not shown in the diagram? manglek = 37° and n = 31 manglek = 37° and k = 31 manglen = 37° and n = 31 manglen = 37° and k = 31

Answers

Answer 1

Answer:

(A) mK = 37° and n = 31.

Step-by-step explanation:

The following are A of ed.


Related Questions

PLS HELPP WHAT IS THE ANSWER???

Answers

Answer:

-220

Step-by-step explanation:

Answer:

Let us start by plugging in x=2 into all variables x and y=1 into all y's

so: The result is -220

what is the solution for the equation -15=5(3y-10)-5y

Answers

Answer:

[tex]\Large\boxed{\sf{y=\dfrac{7}{2} }}[/tex]

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

First, switch sides.

[tex]\sf{5\left(3y-10\right)-5y=-15}[/tex]

Use the distributive property.

DISTRIBUTIVE PROPERTY:

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}[/tex]

Therefore, the correct answer is y=7/2.

I hope this helps. Let me know if you have any questions.

Which absolute value inequality is modeled by this graph?
A. y ≥ |x − 3|
B. y ≥ |x| − 3
C. y > |x + 3|
D. y > |x| + 3

Answers

Answer:

c

Step-by-step explanation:

sorry if it is wrong

It is B

Just plug in 0 and you have to get -3 because there is a point (0,-3)

A: you get |0-3| = |-3| = 3. Not A.
B: you get |0| -3 = -3. Correct
C: you get |0+3| =|3|=3. Not C
D: you get |0| +3 =3 Not D

Find the least common denominator of 11/10 and 1/15

Answers

Answer is 30 is the least common denominator and 330 is the greatest common denominator

Answer: The least common denominator is 30.

Step-by-step explanation: Look at the image I have uploaded.

Good luck!

A train travels from Washington D.C. to New York (225 miles). The train departs at 4:55 PM and arrives in New York at 7:55 PM. What is the average speed of the train?

Answers

7:55 pm - 4:55 pm = 3 hours

225 miles / 3 hours = 75 miles per hour

Average speed = 75 miles per hour

Bob sells part of a 50-acre rectangular plot of land he owns so that he can still own a smaller rectangular plot within the original. After he makes the sale, Bob's remaining plot of land is half as long and half as wide as his original plot. What is the area of Bob's remaining plot of land?

Answers

Considering the area of a rectangle, it is found that the area of Bob's remaining plot of land is of 12.5 acres.

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by the multiplication of these dimensions, that is:
A = lw.

In this problem, both the length and the width are divided in half, hence the proportion remaining is given by:

A = 0.5l x 0.5w = 0.25lw = 25% of the initial area.

Hence:

0.25 x 50 = 12.5.

The area of Bob's remaining plot of land is of 12.5 acres.

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Kate packs snow into 5 identical jars. each jar represents a different depth of snow. kate then lets the snow in each jar completely melt. the table shows the height of the liquid in each jar as it relates to the original depth of snow in the jar. a 2-column table with 5 rows. the first column is labeled snow depth (inches), x with entries 2, 4, 6, 8, 10. the second column is labeled water depth (inches), f(x) with entries 0.4, 0.8, 1.2, 1.6, 2.0. which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? select two options. the points on a graph representing the relationship lie on a line. there is 0.4 inch of water to every 1 inch of snow. a line through the points will pass through (0, 0). the function relating snow depth to water depth is quadratic. the data can be represented by f(x) = 0.2x.

Answers

The true statements include the point on the graph represents the relationship lie on a line and a line through the points will pass through (0, 0).

How to illustrate the table?

From the table, the water depth changes for about (0.8 - 0.4) = 0.4 inches. Here, the function is a linear model.

In this case, the the point on the graph represents the relationship lie on a line and a line through the points will pass through (0, 0).

Learn more about graphs on:

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Answer:

A & C

Step-by-step explanation:

hope this helps

If 6 pairs of socks cost $6. 90, what is the price for one pair of socks

Answers

Answer:

$1.15

Step-by-step explanation:

6 pairs of socks cost $6.90.

so every sock is at least one dollar. one dollar per sock, then you take the .90 and divided between the 6 socks and you get 15, so one dollar and 15 cents per sock.

Hope this helps, have a nice day!

Answer number 14 please. Thank you.

Answers

Answer:

i already did i the previous one

btw can you send this full page of work in pdf if you could

15.

[tex] \frac{89.32}{48.50} \times 100[/tex]

find the measure of the missing angle?

Answers

56+72+x =180 ( therefore sum of angle in a triangle)

128+x=180

x=180-128

x=52

Answer:

THE MISSING ANGLE = 52°

Step-by-step explanation:

Sum of all angles = 18°0

Let the missing angle be x°

56° + 72° + x° = 180°

x° = 180° - 72° - 56°

x° = 52°

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

What is the volume of the prism if its 2 centimeters long tall 12 centimeters wide and 25 centimeters long

Answers

Answer:

600 cm

Step-by-step explanation:

L*W*H SO IT WILL BE 2*12*25

Please Help !! What is the surface area of a cylinder with base radius 4 and height 5. Show your work .

Answers

Answer:

226.19

Step-by-step explanation:

A= 2πrh+ 2πr2= 2·π·4·5+2·π·42≈226.19467

or

S = (2 * pi * r^2) + (2 * pi * r * h)

S = (2 * pi * 4^2) + (2 * pi * 4 * 5)

S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.

Answer:

251.333 (Repeating)

Step-by-step explanation:

First, you need to find the area of the circle at the top, which is [tex]\pi r^{2}[/tex]

Next, you multiply it by the height. (I did also use actual pi)

This is if it's total area, not lateral.

What is the value of the remainder?

Answers

[tex] \underline{ \boxed{ \sf{✰\: Option\:D. \:81✓ }}}[/tex]

Refer to the attachment for solution ☘️

Hope it helps

Hey I kinda need some help with this could u help?

Answers

Answer:

[tex]x = 13 ~~ \text{and}~~ y= 10[/tex]

Step-by-step explanation:

[tex]~~~~~~2.31 \times 10^x = 2200 \times 1.05 \times 10^y\\\\\implies 2.31 \times 10^x = 2310 \times 10^y\\\\\implies \dfrac{10^x}{10^y} = \dfrac{2310}{2.31}\\\\\implies 10^{x-y}=1000\\\\\implies 10^{x-y} = 10^3\\\\\implies x - y = 3[/tex]

[tex]\text{If x = 13 and y = 10 then the difference will be 3.}[/tex]

Tran has a credit card with a spending limit of $2000 and an apr (annual percentage rate) of 12%. during the first month, tran charged $450 and paid $150 of that in his billing cycle. which expression will find the amount of interest tran will be charged after the first month? (0.01) (300 dollars) (0.01) (450 dollars) (0.12) (300 dollars) (0.12) (450 dollars)

Answers

The expression  that will find the amount of interest tran will be charged after the first month is: (0.01) (300 dollars).

Expression

First step

Monthly interest rate = (Annual percentage rate ÷ Number of months in a year)

Monthly interest rate= 0.12 ÷ 12

Monthly interest rate= 0.01

Second step

Amount left = Amount charged - Amount paid

Amount left = $450 - $150

Amount left = $300

Third step

Amount of interest=Monthly rate ×Amount left

Amount of interest=(0.01) (300 dollars)

Amount of interest=$3

Therefore the expression  that will find the amount of interest tran will be charged after the first month is: (0.01) (300 dollars).

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Multiplying by 1.19 is the same as increasing by

Answers

the answer for the picture would be 21
1.19 - 19%

PLEASE HELP

i have no clue what im doing wrong but i cannot find the answer

Answers

2pi/b but there isn’t any b it would just be 2pi/1 making it only 2pi

hello what is 5x6 and what is 24 divide by 50

Answers

Answer:

5×6=30

24÷50=0.49....following long division method

Which side is opposite angle C?

None
BC
AB
AC

Answers

Answer:

AB

Step-by-step explanation:

opposite is AB

what are the mean,median,mode, and range of the data set given the altitude of lakes in feet:-11,-28,-17,-25,-28,-39,-6,and -46? i dont know the answer

Answers

Answer:

Read explanation.

Step-by-step explanation:

The average is -22.2 (mean)

-46,-39,-28,-28,-25,-17,-11.-6 You cross out the lowest and highest until you reach the middle, which is -26.5(median)

The mode is -28 as it is the most repeated number

The range is 40 as when you subtract a negative it turns into the absolute value.

Korey is planning to open a comic book store. he has developed the following expense breakdown for set-up and operation for the first year. korey has $8,500 in savings and $25,000 in inheritance money to use to open his store. will korey have enough to run his business for a full year? expense amount rent $10,800 insurance $3,000 store fixtures $2,700 computer and cash register $1,200 inventory $17,400 a. yes, korey will have $1,600 to spare. b. no, korey will be short $1,600. c. yes, korey will have $15,800 to spare. d. no, korey will be short $15,800.

Answers

Answer:

C. 15800 to spare

Step-by-step explanation:

All you have to do is add up the total money he has to spend  money, then you add up the total cost, and subtract the total money he has to spend by the total cost, and you're left with he has 15,800 left to spare. ;)

He should make a loan from the investors about 4.6%..

What is Percentage?

To determine the volume or chance of commodity in terms of 100, use the chance formula. Per cent simply means one in a hundred. With the chance formula, a number between 0 and 1 can be expressed. A number that's expressed as a bit of 100 is what it is. It's substantially used to compare and determine rates and is represented by the symbol.

Total quantum plutocrat Korey have

= Saving plutocrat heritage plutocrat

= $,500$,000

= $,500

Total quantum of charges

= Store Fixtures amount + Computer and Cash Register amount + Inventory  amount +Rent amount + Insurance amount

=  $2700 + $1200 + $17400 +$10800 + $3000

= $35100

So, Fund taken through loans and investor

= Total quantum of charges -Total quantum plutocrat Korey have

= $ 35100-$ 33500

= $ 1600

and, the percentage is

= 1600 x 100 / 35100

= 4.6%

He should make a loan from the investors about 4.6%.

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Please help, thank you!

Answers

Answer:

Vertical Asympote, but I might be wrong, haven't done this math in years

1. If the height is 12 inches and the diameter
is 16 inches, what is the volume?
h

Answers

Answer:

2411.52

Step-by-step explanation:

D = r x 2

R = d/2

16/2 = 8

A = πr^[tex]\pixr^{2}[/tex]

A = 3.14 x 8x8

A = 3.14 x 64

A = 200.96

V = A x H

V = 200.96 x 12

V = 2411.52

please help im sorry i dont understand shapes and angles

Answers

Answer:

Sorry I can't answer this.

But you may use the protacter to find the angle

? = 73°

There are 7 sides in this polygon

Calculate total interior angles using (n-2) * 180    

                                                                  ["n" denotes number of sides]

Here total interior angle: (7-2)*180 = 900°

The missing angle inside the polygon:

900° - 130° -119° -130° -154° -130° -130°

900° - 793°

107°

A straight line has total 180°

? + 107° = 180°

? = 180° - 107°

? = 73°

A door's shape is made by combining a rectangle and a semicircle. What is the area of the door?

Answers

Answer:

34.28 ft²

Step-by-step explanation:

Area of the door = area of the rectangle + area of the semicircle

                            = 7 × 4                            +  (3.14 × 2²)/2

                            = 28                                + (3.14 × 4)/2

                            = 28                                + 3.14 × 2

                           = 28                                 + 6.28

                           = 34.28

Twenty-one less than a number is seven. What is the number? 3 14 28 147

Answers

Answer:

Option C, 28

Step-by-step explanation:

Step 1:  Make an expression

Twenty-one less than a number is 7

[tex]x - 21 = 7[/tex]

Step 2:  Solve the equation for x

[tex]x - 21 = 7[/tex]

[tex]x - 21 + 21 = 7 + 21[/tex]

[tex]x = 28[/tex]

Answer: Option C, 28

Answer:

28

Step-by-step explanation:

because twenty eight subtracted by twenty one equals seven

What is the equation of a line in general form that does not have a y-intercept and goes through the point (3,6) ?

(** I know the answer is x-3 = 0, please EXPLAIN)

Answers

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Step 1:  Determine the equation

So we know that our equation does not have a y-intercept which means that it doesn't intersect ANYWHERE on the y-axis.  Therefore, this means that our equation will be a straight vertical line that doesn't move side to side and just goes straight up and down.  We also know that our point is (3, 6) which means that our x-value will be 3 and this is where the equation will be located.  

There are several ways to display our answer where x = 3 is the most common way which basically means give me all of the y-values for the same x value of 3.  Another way of saying it is x - 3 = 0 which either way when adding 3 to both sides gives you x = 3 which is what I usually go with.

Answer: [tex]x = 3[/tex]

Answer:

x = 3 or x - 3 = 0

Step-by-step explanation:

Given

It does not have a y-interceptPasses through the point (3, 6)

Solving

If the line cannot touch the y-axis, it has to be parallel to it (in other words, the line must be vertical)Since the x-value is constant for a vertical line and it passes through the point (3, 6), the equation of the line will be :x = 3 or x - 3 = 0

A bag contains 3red, 4white, 5green balls. Three balls are selected without replacement. Find the probability that the three balls chosen are:
A) all red
B) all green
C)one of each color

Answers

Answer:

A. 1/220   B. 1/22   C. 3/11

Step-by-step explanation:

This question uses combinations -- counting the number of ways a selection can be made from a set of objects (without arranging them after the selection is done).

Notations for combinations:

The number of ways to select  r  things from a set of  n  things is

[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]  where the exclamation points mean factorial.

[tex]n!=1\cdot2\cdot3\ldots\cdot n[/tex]  and 0! is defined to be 1.

There are two other commonly used symbols for this:

[tex]_nC_r[/tex]  and  [tex]n \choose x[/tex].

In all three parts, the number of ways to choose 3 balls from a set of 12 is

[tex]C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot4\cdot3\cdot2\cdot1}{(3\cdot2\cdot1)(9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)}[/tex]

Notice that 9 factors in the denominator cancel 9 factors in the numerator, leaving

[tex]C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10}{3\cdot2\cdot1}=220[/tex]

A. The number of ways to choose 3 red balls from the 3 red balls is C(3, 3) = 1, so the probability is 1 / 220.

B)  The number of ways to choose 3 green balls from the set of 5 green balls is [tex]C(5,3)=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{5\cdot 4}{2}=10[/tex]  out of 220, so the probability is 10/220 = 1/22.

C)  The number of ways to choose 1 red is C(3, 1) = 3.  Choose 1 green in C(5, 1) = 5 ways.  Choose 1 white in C(4, 1) = 4 ways.

The probability is  [tex]\frac{3\cdot 5 \cdot 4}{220}=\frac{60}{220}=\frac{3}{11}[/tex]

Answer:

a) 1/220

b) 1/22

c) 3/11

Step-by-step explanation:

Check the attachment.

The sum of a number x and 2,496 is 17,344. What is the value of x?

Answers

2,496 + x = 17,344
x = 17,344 - 2,496
x = 14,848

Dale wants to order business cards for his new job.

• Company A charges a flat fee of $0.15 per card.

• Company B charges $0.10 per card plus an additional $10.00 for delivery

Write an inequality for the amount of business cards, c, that Dale would need to buy for Company to be cheaper

Answers

Dale would need to buy more than 200 cards for Company B to be cheaper.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Company A charges a flat fee of $0.15 per card.

Company B charges $0.10 per card plus an additional $10.00 for delivery

Let x = number of cards

Company A charges = $0.15x

Company B charges = $10.00 + $0.10x

For company B to be the cheaper option      ( B < A )

     $10.00 + $0.10x  <  $0.15x

     $10.00  <  $0.05x      

subtracting positive from both sides to retains the sense of the inequality and x is positive

       200 < x      

       x > 200    

 

So, Dale would need to buy more than 200 cards for Company B to be cheaper.

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