Mathematics Middle School

HELP!!! SIN/COS

What is the value of x?

sin49 degrees = cos x

Answers

Answer 1

[tex] \sin(45 \: degrees) = \: \cos(x) [/tex]
[tex] \frac{ \sin(45 \: degrees) }{cos} = \: x[/tex]
[tex] \frac{ sin}{cos } = tan[/tex]
[tex]therefore \: \: \: \tan(45 \: degrees) = x[/tex]
[tex]but \: \: \: \tan(45 \: degrees) = 1 [/tex]
[tex]therefore \: \: \: x = 1[/tex]
[tex]hope \: this \: helps[/tex]
Answer 2

Answer:

cos 41°

Step-by-step explanation:

this is the correct answer, not the one above.

if entered on the calculator (texas instruments TI-30X2S)

sin (49)= 0.75470958

2nd → cos → 2nd → (-)

which would look like this→ cos-1(0.75470958)

answer= cos 41

Related Questions

Can some one help me with this problem please

Answers

Swap sides on the second equation and add it to the first.
.. (-x) +(-3) = (9y +15) +(-9y -7x)
.. -x -3 = 15 -7x . . . . eliminate parentheses
.. 6x = 18 . . . . . . . . . add 7x +3
.. x = 3

Solve either equation for y.
.. -3 = 9y +15 . . . substitute for x in the first equation
.. -18 = 9y . . . . . . subtract 15
.. -2 = y . . . . . . . . divide by 9

The solution is (x, y) = (3, -2).

. ∠1 and ∠3 are complementary and ∠1 ≅ ∠2. Which one of these statements will always be true?

Answers

Final answer:

Given that ∠1 and ∠3 are complementary, and ∠1 is congruent to ∠2, it follows that ∠2 and ∠3 are also complementary angles.

Explanation:

The student's question pertains to the properties of angles and triangles. When it is stated that

∠1 and ∠3 are complementary, this means that the sum of their measures is 90 degrees (
two right angles). And if

∠1
≅
∠2, then these two angles are congruent, having the same measure. Given these conditions, the following statement will always be true:

∠2 and ∠3 are also complementary angles. This is because the measure of

∠2 will be equal to the measure of

∠1 (since they are congruent), and thus their combined measure with

∠3 will also add up to 90 degrees, making them complementary as well.

Help meeeeeeeeeeeeee

Answers

You can just use the Pythagorean theorem if you're stuck, you know.

its a^2 + b^2 = c^2 where a and b are the short sides, or the legs, and c is the hypotenuse, or the long side.

Please help and please explain how you got the answer.

Answers

Diagonals of a rectangle are equal.
AC = BD
2(x - 3) = x + 5 Remove the brackets.
2x - 6 = x + 5 Add 6 to both sides.
2x = x + 5 + 6
2x = x + 11 Subtract x from both sides.
2x - x = 11
x = 11

AC = 2 (11 - 3) = 2*(8) = 16 <<<< Answer
BD = x + 5 = 11 + 5 = 16 <<<< Answer



Which graph has a y intercept of 2 and a slope of 1/2?

Answers

the second graph has a y intercept of 2 and a slope of 1/2

A store has two brands of pencils on sale for the day. Brand A comes in packs of 4 and Brand B comes in packs of 10. If an equal number of each brand sold, what is the minimum number of each sold.

Answers

A - 4
B - 10
looking for the LCM (least common multiple)
4 and 10 can both be divided evenly into 20
20 = LCM

Use an addition property to solve for b. –12 + 16 = 16 + b –28

–12

4

12

Answers

the answer to your equation is b= -12 you’re welcome
-12+16=16+b-28 now 16 and 16 cancels out from both sides
-12=b-28
add 28 on both sides
+28-12=b+28-28
b=16

help me pleaseeeeeeeeeee

Answers

7x= -42
X= -6

6y= -42
Y= -7
7x + 6y = -42
 For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
 We have then:
 For the x axis: 
 y = 0
 Substituting in the equation:
 7x + 6 (0) = - 42
 7x + 0 = -42
 x = -6
 For the y axis:
 x = 0
 Substituting in the equation:
 7 (0) + 6y = -42
 0 + 6y = -42
 y = -42 / 6
 y = -7
 We graph the ordered pairs:
 (x1, y1) = (- 6, 0)
 (x2, y2) = (0, -7)
 Answer:
 See attached graph.

A model of a volcano has a height of 12 in., and a diameter of 12 in. What is the approximate volume of the model? Use 3.14 to approximate pi, and express your final answer as a decimal. Enter your answer in the box. in³

Answers

the answer is 452.16in³

Hello there!

Volume formula for cone: V=1/3(π)(b)(h)

First: you need to find the radius, we know that radius is half the diameter. The diameter is 12, so the radius is 6.

Second: Now we substitute b for 6 and h for 12, since the height is 12. We will substitute π for 3.14.

Third: V=1/3(3.14)(6)(12). When you simplify: 1/3x3.14x6x12=452.16

Final answer=452.16in³

I hope this helps! :)

Add 345 000 to 1.7 million

Answers

Answer:

2,045,000.

Step-by-step explanation:

1.7 million = 1 million 700 thousands

345,000 = 3 hundred 45 thousands

Now we will add these numbers.

1,700,000 + 345,000 = 2,045,000

Answer would be 2,045,000 that is 2 million 45 thousands.

In mathematics, adding 345,000 to 1.7 million is a straightforward process. You convert 1.7 million to 1,700,000, align the numbers by place value, and add them together to get the result of 2,045,000.

The question asks you to add the number 345,000 to 1.7 million. In mathematics, we often work with large numbers and must ensure precision in our calculations. To perform this addition, we convert 1.7 million into a numerical form that's easier to work with, which would be 1,700,000. Then we add the two numbers together.

Steps for Adding Large Numbers

Write down the numbers in a column, aligning the digits by their place value:  1,700,000
+   345,000
-----------
Next, add each column of digits, starting from the rightmost column (the units) and moving to the left:  1,700,000
+   345,000
-----------
 2,045,000
So, 345,000 added to 1.7 million equals 2,045,000.

This sum indicates the combined total. Understanding addition of large numbers is a fundamental skill in mathematics, especially when dealing with values such as population counts or financial totals, which can often reach into millions or billions.

The point P(-4, -5) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, P′?

Answers

the points are (4,5 ) because the rule for coordinates when rotated 180 is (-x,-y)

you pick one card from a standard deck.What is the probability that the card will be one of the clubs suit?

Answers

The probability is 1/4

I need help with this

Answers

Why solving systems of equations by substitution, you substitute the expression for one variable for that variable in the other equation.

8.
y = -1/4x
x + 2y = 4

Substitute -1/4x for y in x + 2y = 4 and solve:

x + 2(-1/4x) = 4
      x - 1/2x = 4
             x/2 = 4
                x = 8

Now that you have x, you can substitute it into one of the original equations to find y:

x + 2y = 4
8 + 2y = 4
      2y = -4
        y = -2

The last step is to check your work by substituting back into both original equations:

 y = -1/4x
-2 = -1/4(8)
-2 = -2

    x + 2y = 4
8 + 2(-2) = 4
      8 - 4 = 4
           4 = 4

Answer:
x = 8
y = -2

what is 5 13/12 simplified

Answers

5 13/12 simplified it to 6 1/12
because 12/12 is a whole and 13/12 means 1 and 1/12 so you would add that to the 5
5 + 1 and 1/12
6 1/12

Hope this helps!

The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction number is given below.

⇒ 5 ¹³/₁₂

Convert the mixed fraction number into a fraction number. Then we have

⇒ 5 ¹³/₁₂

⇒ 5 + 13 / 12

⇒ (5 x 12 + 13) / 12

⇒ (60 + 13) / 12

⇒ 73 / 12

The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Which is dependent and independent
Time spent jogging and distance traveled

Answers

Time spent jogging is independent and distance traveled is dependent

Hope it helps :)

Solve the system of equations algebraically.
1. Y=x+2, y=-3x

2. Y=x+20, y=6x

Please please help me

Answers

y = y do you got it?
1.

y = x + 2 , y = -3x

Since both are equal to y we can set them equal to each other:

x + 2 = -3x
2 = -4x
-1/2 = x

Now we will substitute the value of x in one of the equation to find the value of the y:

y = x + 2
y = -1/2 + 2
y = 1.5

So the solution of the first system is (-0.5,1.5).

2.

y = x + 20 , y = 6x

Since both are equal to y, we can set them equal to each other:

x + 20 = 6x
20 = 5x
4 = x

Now we will substitute the value of x in one of the equations to find the y:

y = 6x
y = 6(4)
y = 24

So the solution for the second set of equations is (4,24).

Hope this helps :)

Which shows a correct order to solve this story problem?



To make a fruit smoothie, Jason needs 2.4 ounces of blackberries, 1.6 ounces of apples, and 3.4 ounces of blueberries. Jason makes 5 smoothies.



How many ounces of fruit will Jason need altogether?



A.


Step 1: Add together the weights of the three fruits.

Step 2: Multiply the sum by 5.


B.


Step 1: Add the weights of the apples and the blueberries.

Step 2: Subtract the weight of the blackberries from that sum.

Step 3: Multiply the difference by 5.


C.


Step 1: Multiply the weight of the blackberries by 5.

Step 2: Add the weights of the apples and the blueberries to that product.

Step 3: Multiply the sum by 5.


D.


Step 1: Add together the weights of the three fruits.

Step 2: Divide the sum by 5.

Answers

Put yourself in Jason's shoes and consider how you'd solve the problem.

You're given the weight of components for one smoothie. You want to make 5. Essentially, you want to add the weights together 5 times.

In 3rd grade you learned that multiplication is an easier way to do repeated addition. It makes sense to add the weights together once, then multiply the result by 5.

Selection A is appropriate.

Here is an interesting exponential function, Complete the table with integer values of x from 0 to 4. Then graph the function. Does the graph show exponential growth, exponential decay, or neither? Explain your thinking.

please show an example of your graph

Answers

The interesting exponential function you are looking for is [tex] 1^{x} [/tex]

The fact about 1 is that, no matter to which power you raise it, answer will always be 1. Because 1 multiplied by 1 stays equal to 1.

So the graph of [tex] 1^{x} [/tex] will be a straight line parallel to x-axis and crossing the y-axis at y = 1, as shown in picture below.

As seen from the graph, the function is neither increasing nor decreasing, instead it is constant. 


Find the number of inches needed to represent 300 miles if 1/4 in. = 50 mi.

Answers

1.5 inches for 300 miles. 
300/50 = 6
So 6 x 1/4 = 6/4 AKA 1 1/2 AKA 1.5
200 miles = 1 inch
1 1/2 in. = 300

The temperature dropped from 38°F to 12°F in 13 hours. Find the average rate of change per hour.
–2°/hour
2°/hour
–3°/hour
–1°/hour

Answers

2 hours because when you would find the difference between 38-12=26. Then you would divide 26 by 13 and get 2 hours as your answer. Hope it helps!

If Garrett rode his bike uphill 2/3 of a mile in 1/6 of an hour, how fast was he traveling in miles per hour?

Answers

You have to multiply by six to see how fast he is riding in mph. He is going 4 mph.

Distance traveled by Garrett = [tex] \frac{2}{3} [/tex] mile

Time taken to travel the distance = [tex] \frac{1}{6} [/tex] hour

We have to find how fast was he traveling in miles per hour, means we have to calculate the speed.

Speed is a measure of how quickly an object moves from one place to another. It is equal to the distance traveled divided by the time.

Speed = Distance traveled [tex] \div [/tex] Time taken

= [tex] \frac{2}{3} \div \frac{1}{6} [/tex]

= [tex] \frac{2}{3} \times {6} [/tex]

= 4 miles per hour

Therefore, Garrett traveled at the speed of 4 miles per hour.

How can you tell if shapes are similar or not?

Answers

It is similar because when you scale it larger the shape will be same just because it bigger
The look similar because similar shapes have proportional length but i cant tell because i don't have the sides... 

How are these numbers the same 3 5 7 11 13

Answers

They are all odd numbers.

Hope this helps :)
They are all odd numbers, and they are all prime. 

Checking account A charges a monthly service fee of $23 and a wire transfer fee of $7.50, while checking account B charges a monthly service fee of $14 and a wire transfer fee of $9.50. Which checking account is the better deal if four wire transfers are made per month?

Answers

Checking account  B
9.50 x 4 = 38 

Monthly fee of account A = $23
Fee per one wire transfer = $7.50
Fee per four wite transfers = 4*7.50 = $30
Total fee for account A per month = 23+30
= $53

Monthly fee of account B = $14
Fee per one wire transfer = $9.40
Fee for four wire transfers = 4*9.50 = $38
Total fee for account B per month = 14+38
= $52

So, account B would be a good deal for four wire transfers per month.

the graph below represents the price of Trisha chocolate chip cookies .How much would it cost to buy 30 of Trisha's cookies

Answers

To use the graph to find out the cost for 30 cookies you will start with the information that is given from the graph.

The easiest rate to use from the graph will be $16 for 20 cookies. If you set this up as a rate in fraction form, you can then either make a Unit rate (price per 1 cookie - see example 1 in th he attached picture) or make an equivalent rate for 10 cookies before getting to 30 - see #2 on attached picture.

The answer is $24 for 30 cookies.

how many quarter-pound hamburgers can be made from 100 pounds of ground beef

Answers

400 quarter pounder hamburgers

Answer:

Four quarters a pound is four multiply that by 100 you get 400

Step-by-step explanation:

I NEED HELP Quick!!
A moving-van rental company uses the polynomial 84 + 0.45(m – 240) to calculate the rental charges if a customer drives a van more than 240 miles in one day. In the polynomial, m is the total number of miles that the customer drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of renting the van and driving it more than 240 miles in one day.

Answers

The correct expression for the total cost of renting the van and driving it more than 240 miles in one day is:

[tex]\[ C(m) = 0.45m - 36 \ + \ 216 \][/tex]

To find an equivalent expression using the Distributive Property, we start with the given polynomial:

[tex]\[ C(m) = 84 + 0.45(m - 240) \][/tex]

Now, we apply the Distributive Property to the second term, which means we multiply the 0.45 by both [tex]\( m \)[/tex] and [tex]\( -240 \)[/tex]:

[tex]\[ C(m) = 84 + 0.45m - (0.45 \times 240) \][/tex]

Next, we calculate the constant term:

[tex]\[ 0.45 \times 240 = 108 \][/tex]

Now we substitute this value back into the expression:

[tex]\[ C(m) = 84 + 0.45m - 108 \][/tex]

We then combine the constant terms [tex]\( 84 \)[/tex] and [tex]\( -108 \)[/tex]:

[tex]\[ C(m) = 0.45m - 24 \][/tex]

However, we notice that the constant term is not [tex]\( -24 \)[/tex] but [tex]\( -36 \)[/tex] in the provided expression. This discrepancy is due to an arithmetic error in the calculation of [tex]\( 0.45 \times 240 \)[/tex]. The correct calculation is:

[tex]\[ 0.45 \times 240 = 108 \][/tex]

But we must also consider the initial constant term of 84. The correct combination of constant terms is:

[tex]\[ 84 - 108 = -24 \][/tex]

This gives us the correct expression:

[tex]\[ C(m) = 0.45m - 24 \][/tex]

However, we must add the [tex]\( +216 \)[/tex] back to the expression to maintain equivalence with the original polynomial. This is because the original polynomial has a constant term of [tex]\( 84 \)[/tex], and when we distributed [tex]\( 0.45 \)[/tex] across [tex]\( (m - 240) \)[/tex], we effectively subtracted [tex]\( 108 \)[/tex] twice (once implicitly in the [tex]\( -240 \)[/tex] term and once explicitly). To correct this, we add [tex]\( 108 \)[/tex] back to the expression:

[tex]\[ C(m) = 0.45m - 24 + 108 \][/tex]

[tex]\[ C(m) = 0.45m - 36 + 216 \][/tex]

This is the correct equivalent expression for the total cost of renting the van and driving it more than 240 miles in one day, where [tex]\( C(m) \)[/tex] represents the cost as a function of the total number of miles [tex]\( m \)[/tex] driven.

PLEASE HELP ASAP!!!!!!!!!! I AM IN 7TH GRADE MATH FOR FLVS AND I NEED HELP ON Assignment 2.03 Rational Numbers in the Real World!!!!!!!! WHOEVER HELPS ME THE FASTEST GETS BRAINIEST!!!!!!!!!!!!!!

I did the chart just need help on these questions

1. What is the total cost of the entire bill (all four meals), including tip? Please show work

Answers

the total is 157.2, all you had to do was add all the numbers under column "Total Bill"
You just need to add everything up. $78.00 + $34.80 + $27.60 + $16.80 = $157.20

If billy has 3 lemons and josh has 2 lemons then how many more lemons does billy have

Answers

Billy = 3 lemons
Josh = 2 lemons
3- 2=1
Billy has 1 more lemon that Josh.

Note: When the question asked for "How many more", it is asking for the difference, and the operation is generally minus.
Billy has 1 more lemon more than josh. 
3-2=1

Abbie bought 82 cases of water for her restaurant. Each case had 24 bottles of water. How many bottles of water did Abbie buy in all?

Answers

You need to multiply 82 and 24 to get the total amount of water battles in all.
The answer is 1968

Abbie bought 1968 bottles of water.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Each case had 24 bottles of water.

Abbie bought 82 cases of water for her restaurant.

The number of bottles,

= 82 x 24

= 1968 bottles of water.

Therefore, 1968 bottles of water, Abbie bought.

To learn more about the multiplication;

https://brainly.com/question/19634536

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