Mathematics Middle School

PLEASE HELP MY ASSIGNMENT IS OVERDUE

In the triangle ABC, AB = (x + 3)cm, BC = (x + 2)cm, AC = x cm and angle BAC = 60degrees

Find the value of x.

Answers

Answer 1

Answer:

x = 5

---------------------------------

Side BC is opposite to ∠BAC and adjacent sides are AB and AC.

Use the law of cosines:

BC² = AB² + AC² - 2AB*AC*cos ∠BAC

Substitute and solve for x:

(x + 2)² = (x + 3)² + x² - 2x(x + 3) cos 60°x² + 4x + 4 = x² + 6x + 9 + x² - 2(x² + 3x)*1/2x² + 4x + 4 = 2x² + 6x + 9 - x² - 3xx² + 4x + 4 = x² + 3x + 94x - 3x = 9 - 4x = 5
Answer 2
x would equal 5 in the problem

Related Questions

Find the solution to the system of equations. -8x+4y=24 and -7x+7y=28
x=
y=

Answers

x=2
Y=2
evidence in picture below
X=2
Y=2
It’s really simple once you understand it

While Shivani waits in line to pan for treasures at Wayville Mining Adventures, she can watch what other people find while panning. The table below shows the treasures found by one person that Shivani observed.
|Treasures| |Number found|
gold 3
emerald 2
petrified wood 6
fossil 4
topaz 1
arrowhead 2
Based on the data, what is the probability that Shivani's first panning find is a fossil?
Write your answer as a fraction or whole number.

Answers

The probability would be 2/9

If X = 4, what is the value of X to the power of 2 - 2X
Group of answer choices
24
8
16
0
Thx a whole bunch!

Answers

[tex]x^{2-2x}[/tex] when x is 4

[tex]4^{2-(2)(4)}[/tex]

[tex]=0.000244[/tex]

Therefore, your answer would be:

[tex]\fbox{0}[/tex]

17 and no yes give no andwer

Dela made 21 peanut butter sandwiches with a 12-ounce jar of peanut butter.

How many ounces of peanut butter did Dela use on each sandwich? Use any strategy to solve this problem.

Answers

Answer:

4/7

Step-by-step explanation:

divide the ounces used by the sandwiches

[tex] \frac{12}{21} = \frac{4}{7} [/tex]

12/21 = 4/7 or 0.571428571428571

What does the expression y−mx help you find? select all that apply.

Answers

Answer: Slope

Step-by-step explanation: y=mx+b is slope but if its y-mx its prolly y intercept

Y-Mx can find rate of change and y intercept

Leandro has four cubes like this one: He sticks them together to form the solid shown here and paints it blue all over. A week later, he separates the four cubes. What fraction of the total number of faces is WHITE?

Answers

Answer:

Step-by-step explanation: Each cube has a total of 6 sides. In the model, the top cube has 1 "hidden" side/1 side that is not exposed to the paint, the bottom middle has 1 "hidden" side, the right bottom cube has 1 "hidden" side, and so does the left. Adding up all the sides that are not exposed to the paint, there is a total of 4 white sides.

6 x 4 = 24 meaning there is a total of 24 faces

The cubes are stuck together in three places

2 faces are glued at once

2 faces x three places = 6

6/24 faces are white

help pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

NovelLego SetBicycle

Don't have an explanation as it's pretty straightforward, but I hope this helps! Happy holidays!

novel
lego set
bicycle

the product of -7 and a number squared is -28
Ill give 45 Points

Answers

-7•x2=-28
The 2 next to the X is meant to be the squared.

Answer:

The number is 2

Step-by-step explanation:

product of two numbers is -28 one of the numbers is -7 and should be sq of some number. Hence number is 2

sq of 2 is 4

multiplying 4 and -7 we will get -28

7-×^(2)sq=-28

2u≤4
help please!!!!!!!!!!!

Answers

Answer:

u≤2

Step-by-step explanation:

                                          2u≤4

Divide by 2 on both sides: u≤2

So there's your answer: u≤2!

:))))))))

Ammm yo también ocupo ayuda con esa

How do you simplify 42/6?
Group of answer choices
-Multiply the numerator and denominator by the common factor 6.
-Multiply the numerator and denominator by the 6.
-Change 42/6 to a mixed number
-Divide the numerator and denominator by the common factor 6.

Answers

Answer: Divide the numerator and denominator by the common factor 6.

Step-by-step explanation:

42 divided by 6 is 7, and 6 divided by six is 1

42 / 6= 7

6/6 =1

7/1=7

Divide is the solution. I'm sorry, but I don't have an explanation, yet I do. this query earlier

30 points if someone answers this quickly <3

Jacqueline has two part-time jobs. She earns $15 per hour, l, working as a lab assistant, and $12 per hour, s, working as a cashier. This is modeled by 15l+12s. Evaluate for l=5 and s=7 to find how much money Jacqueline will earn at her two jobs this week.

Answers

To find the total amount of money Jacqueline will earn this week, we need to substitute the values l=5 and s=7 into the expression 15l+12s and evaluate the result. This gives us 15*5+12*7=75+84=159. Therefore, Jacqueline will earn a total of $159 this week from her two part-time jobs.

Jacqueline will earn $159 at her two jobs this week.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given;

Jacqueline has two part-time jobs.

She earns $15 per hour, l, working as a lab assistant, and $12 per hour, s, working as a cashier.

This is modeled by 15l+12s.

We have the expression,

15l + 12s

To find the value of the expression:

Substitute the value of l and s to the expression.

We have l = 5 and s = 7.

So,

15(5) + 12(7)

= 75 + 84

= 159

Therefore, she will earn $159.

To learn more about the expression;

brainly.com/question/24242989  

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"They'd all come running like pigs to slop."
What type of figurative language is seen in the sentence above?
simile
metaphor
hyperbole
She began to relax, listening to the sound filled silence.
Osimile
metaphor
oxymoron
10 points
Clear selection
10 points

Answers

Answer: Metaphor

Step-by-step explanation:

simile and then metaphor

How do you determine odd or even consecutive integers? ( x+?)
And how do you solve for the sum of them?
Ex: The sum of 5 consecutive integers is 505
What is the third number in this sequence?

Answers

Answer:

101

Step-by-step explanation:

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Even numbers are numbers that end with 0, 2, 4, 6 or 8. The examples of consecutive even numbers are:0, 2, 4, 6, 8, 10, 12, ….

Odd numbers are numbers that end with 1, 3, 5, 7 or 9.

Help what is this?!?!?!?!?!

Answers

Answer:

21

Step-by-step explanation:

y=6     x=9

5x6-9=21

Answer:

Step-by-step explanation:

so you can see that y=6 and x=9 so...

you do 5 times 6= 30

then x times 9=9 (x=1)

then do 30-9=21

Match each equation with the name of its form.

Answers

Answer: written below

stantard form: Ax+By=

point-slope form: (y-y1=m(x-x1

Slope intercept:Y=mx+

answers: 1&6 are standard form

2&4 are point slope form

5&3 are slope intercept

Step-by-step explanation:

t/3≥3
help i cant flunk

Answers

Answer: t≥9

Let's solve your inequality step-by-step:

t/3 ≥ 3

Step 1: Simplify both sides of the inequality.

1/3t ≥ 3

Step 2: Multiply both sides by 3.

3*(1/3t) ≥ (3)*(3)

t≥9

There are just 2 steps in this inequality, I hope this helps!

Multiply to remove the fraction, then set equal to 0 and solve.
So the answer is t≥9.
Hope this helps have a good day!

An accountant charges a fee of $120 to complete a company's taxes. The accountant also charges an additional $40 per hour to complete the taxes. Which of the following equations can be used to describe this problem?

y = 40 + 120x
y = 40 − 120x
y = 120 + 40x
y = 120 − 40x

Answers

Answer:

y = 120+ 40x

Step-by-step explanation:

The $40 is the rate of change meaning that that would be the number that is next to the variable and the 120 is just staying there meaning it does not have a variable.

if accountant also charges an additional $40 per hour to complete the taxes then the equation y = 40 + 120x  can be used to describe.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The fixed fee of $120 is represented by the constant term in the equation, and the additional fee of $40 per hour is represented by the coefficient of x.

As the number of hours worked by the accountant increases, the total fee also increases at a rate of $40 per hour, hence the linear equation.

The equation that can be used to describe the accountant's fee is:

y = 120 + 40x

In this equation, y represents the total fee, and x represents the number of hours worked by the accountant.

Hence, if accountant also charges an additional $40 per hour to complete the taxes then the equation y = 40 + 120x  can be used to describe.

To learn more on slope intercept form click:

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The formula for the area of a rectangular piece of cardboard is A = lw. Elijah has a piece of cardboard that measures 25 cm long and 10 cm wide. What is the area of the piece of cardboard?
_____________sq. cm (Write just the number)
Thx!

Answers

Answer: 250

Step-by-step explanation:

25 is the length which is equal to l

10 is the width, which is equal to w

25*10 is the same as lw

25*10=250

A=lw

A=250

Answer: 250

Step-by-step explanation:

25- L

10- W

25x10=250

LW=A

Shutting the car door I caught a familiar scent. Suddenly, it was summer and I was nibbling cookies in my aunt's old truck. Every year we'd head out for an adventure on our way to see cousins. My aunt would drive until she was bleary-eyed, belting out songs with the radio. I hummed a familiar tune and thought about her chocolate chip cookies. I haven't taken a road trip for a long time! Why does the author spend time giving details from past travels? The author flashes back to share a sense of curiosity and exploration. The author shares the information to warn readers about how tiring car travel can be. The author describes the memories to share happiness from time spent with an aunt.

Answers

fr fr dawg!!!! you right fo sho
I agree with this statement

for any of the pet sitting services listed in the table, how many hours can you purchase before it would be cheaper to pay for one day.


Table if you need it

Number of pets =

One dog = $20 per day and $7 per hour

Two dogs = $25 per day and $9 per hour

One or Two Cats = $15 per day and $6 per hour
The amount i found for the recent question was $44

Answers

Answer:

One dog= 2 hours

Two dogs= 2 hours

One or Two cats= 2 hours

You would only be able to purchase 2 hours before it would be cheaper to pay for one day

Step-by-step explanation:

One dog: the hourly rate is $7

7x2 = $14 but 7x3 = $21

The daily rate is $20 so it would be cheaper to pay for the day after 2 hours.

Two dogs: the hourly rate is $9

9x2= $18 but 9x3= $27

With the daily rate being only $25, paying for anymore than 2 hours would be more expensive than paying for the day.

One or Two cats: the hourly rate is $6

6x2= $12 but 6x3=$18

Again, $18 is more than the daily rate of $15

You can purchase 2 hours before it would be cheaper to pay for one day.

One dog= 2 hours
Two dog = 2 hours
One or two cats= 3 hours

K-Mart is open Monday through Saturday from 8:00 AM to midnight and Sunday from 10:00 AM to 8:00 PM. How many hours is it open in one week

Answers

Answer:

106 hours

Step-by-step explanation:

K-Mart is open Monday through Saturday from 8:00 AM to midnight and Sunday from 10:00 AM to 8:00 PM. How many hours is it open in one week?

24:00 - 8:00 = 16:00 (16 hours) per day Monday to Saturday

16:00 * 6 = 96:00 (96 hours) total Monday to Saturday

20:00 - 10:00 = 10:00 (10 hours) Sunday

96:00 + 10:00 = 106:00 (106 hours) total

It is open 106 hours in one week

Ten mangos and twelve avocadoes cost $23. Five mangos and four avocadoes cost $10. How much do one mango and one avocado cost?

Answers

Answer:

$2.15

Step-by-step explanation:

Let mango be m

Let avocado be a

10m + 12a = 23

5m + 4a = 10

Let's get rid of the mangos in the second equation

       10m + 12a = 23

-2 x (5m + 4a = 10)

Now we get:

10m + 12a =23

-10m -8a = -20

Add both the equations and we get:

4a = 3

a = $0.75

since we know that one avocado is for $0.75, we can use this value to find the cost of one mango.

5m + 4a = 10

5m + 4(0.75) = 10

5m + 3 = 10

5m = 7

m = 1.4

So, we now know that a mango cost $1.4

To find the cost of one mango and one avocado:

a + m = 0.75 + 1.4 = 2.15

Therefore, the cost of one mango and one avocado is $2.15

The required cost of one mango is 1.4 and cost of one avocado is 0.75.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Cost of ten mangos and twelve avocados is $23,

And cost of five mangos and four avocados is $10.

Let cost of mangoes be represented as M and cost of avocados be represented as A,

The equation can be written as,

10 M + 12 A = 23          (1)

5 M + 4 A = 10           (2)

By solving equation (1) and (2),

M = 7/5 = 1.4

N = 3/4 = 0.75

The cost of one mango is 1.4 and cost of one avocado is 0.75.

To know more about Equation on:

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im so confusedddddddddd

Answers

Answer: $1.43

Step-by-step explanation: So, first you have to add his total bill (before taxes and the take-out) which is $8.33, then you add the fruit salad price ($2.99), and the tax ($2.25). You should get $13.57. Then, since he has the $10 & 5 dollar bills, you add that together to get $15. ($15.00) Now, subtract 13.57 from 15.00, and you should get $1.43 as the change. I hope this explanation helped.

Answer $1.43

You take the current amount (before taxes and fruit salad) which is $8.33. Then you add the fruit salad amount which is $2.99 plus the tax wanted which is $2.25.

So it will look like this: $8.33+2.99+$2.25=13.57
___________________________________

The next step is taking the $10 bill and add it to the $5 bill which equals $15

So it will look like 10+5=15


Finally you take 15 and 13.57 so you get your answer of 1.43

15-13.57=1.43

(I had D selected on accident xD) Which graph matches the information in the table?

Answers

Answer: A

Step-by-step explanation:

The answer is definitely a

Erin is going to knit scarves in different colors to sell and give as gifts. She plans to give away 3 scarves to her friends. Afterwards, Erin wants to have at least 25 scarves left to sell at her shop.
Let x represent how many scarves Erin should knit. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Erin should knit at least ----
scarves.

Answers

Answer:

Erin should knit at least 28 scarves.

Step-by-step explanation:

[tex]x - 3 \leqslant 25 \\ x -3 \geqslant 25 \\ x = 28[/tex]

Erin should knit at least 28 scarves.

he picture below shows the different phases of the Moon as it orbits around Earth.



Which moon is a first quarter moon?

a
T
b
R
c
S
d
Q

Answers

Answer:

S

Step-by-step explanation:

The first quarter of the moon is when half of the moon is light and the other half is dark for the first time in the moon cycle

Which operation would you do first in the following numerical expression?
10 - 4 ÷ 2 x 5
Group of answer choices
-Division
-Subtraction
-Addition
-Multiplication
Thx!

Answers

Answer: division

Step-by-step explanation: remember PEDMAS which is parentheses, exponents, divide, multiply, add, then subtract

Answer:

Division

Following the rules of BODMAS

HELP Which of the following shows the Associative Property of Multiplication? 9 × 5 = 5 × 9 8 × (3 + 11) = (8 × 3) + (8 × 11) 6 × 3 = 18 (7 × 2) × 9 = 7 × (2 × 9)

Answers

Answer:

9x5=5x9 I believe that's it

The answer is 9x5=5x9

5 = 10x - 5y


Write in slope-intercept form & identify the y-intercept.


please show step-by-step & work.


thank you

Answers

Answer:

looookkkk attttt theee picture

Check the picture for your answer, welcome!

Refer to the table. Which element makes up 1/400 of the human body?

Answers

Answer:

Step-by-step explanation:

Magnesium ,Potassium, Sodium,or sulfur

Answer:

Magnesium

Step-by-step explanation:

1/400 into percentage = 0.25

According to scientists, Magnesium makes up 0.25% (1/400) of the body.

Refer to: https://brainly.com/question/1746602

"One who performs his duty without attachment, surrendering the results unto the Supreme Lord, is unaffected by sinful action, as the lotus leaf is untouched by water." - Krishna, Bhagavad Gita 5.10

Thanks, I hope I helped

Miraculous21

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