(a) Solve the equation 4 cos x + 2 = 3 for 0° < x < 360°.
Answer:
divide both sides by cosx
4 sinx/cosx = 1
4 tanx = 1
tanx = 1/4
x = arctan(1/4) = 14.04°
but the tangent is also positive in quad III
so x = 180+14.04 = 194.04°
x = 14.04° or 194.04°
Step-by-step explanation:
do by this step
The value of x is 75.52°.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The equation is 4 cos x + 2 = 3 for 0° < x < 360°.
⇒ [tex]4cosx=3-2[/tex]
⇒ [tex]4cosx=1[/tex]
⇒ [tex]cosx=\frac{1}{4}[/tex]
⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]
⇒ [tex]x=75.52[/tex]
Hence we can conclude that the value of x is 75.52°.
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Olivia runs 4 miles per day. She ran 5 days during the first week of the month. She ran only 3 days each week for the next 3 weeks. Simplify the expression (5 + 3 * 3) * 4 to find how many miles Olivia ran last month.
Answer:
(5+3^2)*4
Step-by-step explanation:
i belive im correct
Olivia ran 56 miles last month.
What is the expression?
Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Given,
She ran 5 days during the first week of the month
She ran only 3 days each week for the next 3 weeks.
Number of mile she ran given by expression (5 + 3 * 3) * 4
= (5 + 9) * 4
= 1 4 *4
= 56
Therefore, Olivia ran 56 miles last month.
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1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}
Answer:
I believe it’s A bc there are only 4 cars in the toy box
Step-by-step explanation:
Brainliest if correct?
thanks have a good day!
Answer: a........ I think im not sure sorry
Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-3x + 2y = -8
3x – 2y = 8
A. No Solutions
B. Infinitely Many Solutions
C.One Solution
Answer:
B) Infinitely Many
Step-by-step explanation:
0 = 0
Answer:
Step-by-step explanation:
Combine the equations
-3x + 2y = -8
3x – 2y = 8
obtaining:
-3x + 2y = -8
3x – 2y = 8
-------------------
0 + 0 = 0
Since this is always true, this system has an infinite number of solutions (B)
To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 65 numbers (1
through 65). The order in which the selection is made does not matter. How many different selections
are possible?
PLEASE HELP!!!!!
What is the value of x? *
31°
53°
Answer:
X = 96
Step-by-step explanation:
This one is pretty simple
So we're dealing with angles here.
So what we want to do is add the two angles and it =180
Here's the equation so it makes more sense:
[tex]A+B=180[/tex]
so we'd place in those numbers
[tex]53+31=180[/tex]
add the two angles together
[tex]53+31=84[/tex]
than we'd subtract from 180 getting the value of X
[tex]180-84=96[/tex]
[tex]x=96[/tex]
please help I really need this
No links!!
No spams!!
Answer:
725
Step-by-step explanation:
Combine like terms.
4n + 11 − 2n − 5
Hey there!
4n + 11 - 2n - 5
COMBINE the LIKE TERMS
= (4n - 2n) + (11 - 5)
= 4n - 2n + 11 - 5
= 2n + 6
Therefore, your answer should be:
2n + 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex] \sf \: 2n + 6[/tex]
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
Main steps included in solving,
→ Rearranging the expression.
→ Combining the like terms.
The expression is,
→ 4n + 11 - 2n - 5
Let's simplify the expression,
→ 4n + 11 - 2n - 5
→ (4n - 2n) + (11 - 5)
→ (2n) + (6)
→ 2n + 6
Hence, the answer is 2n + 6.
to
Which of the following expressions is equivalent
(x + 7)(x2 – 3x + 2)?
A. 3 - 3x2 + 2x + 14
B. x3 + 4x2 - 19x + 14
C. x°- 3x + 14
D. 2 - 2x + 9
Answer: B.x^3+4x^2-19x+14 is correct
Step-by-step explanation:
(x + 7)(x2 – 3x + 2)
Multiplying both
x^3-3x^2+2x+7x^2-21x+14
x^3+4x^2-19x+14
After expanding the given equation, the equivalent expression is found to be [tex]x^3 + 4x^2 -19x +14[/tex]
The correct answer is B
Given expression:
[tex](x + 7)(x^2 - 3x + 2)[/tex]
To find:
the equivalent expression in expanded formThe given expression can be expanded as follows;
[tex](x + 7)(x^2 - 3x + 2)\\\\remove \ the \ bracket \ by \ multiplying \ through \ with \ "x" \ and \ "7"\\\\x(x^2 - 3x + 2) + 7(x^2 - 3x + 2)\\\\x^3 - 3x^2 + 2x + 7x^2 - 21x+ 14\\\\simplify \ further \ by \ collecting \ similar \ terms \ together\\\\x^3 + (-3x^2 + 7x^2)+ (2x-21x) + 14\\\\x^3 + 4x^2 - 19x+ 14[/tex]
Thus, the equivalent expression of the given equation is [tex]x^3 + 4x^2 -19x +14[/tex]
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there are 12 girls in Chloe's first grade class. The ration of girls to boys is 6:5. How many boys are in Chloe's class?
HELP ME PLEASE
Find the Volume of each cylinder. Round to the nearest tenth
471.2
The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2
so the formula would be (3.14)(5)²(6)
Gina subtracted 6 8 from 1 and found a difference of 2 8 . Which statement best describes the difference of 6 8 from 1 is 2 8 ? F The difference of 2 8 is not reasonable because 1 – 3 4 = 1 4 . G The difference of 2 8 is reasonable because 3 4 – 1 4 _ = 1 2 . H The difference of 2 8 is reasonable because 1 – 3 4 = 1 4 . J The difference of 2 8 is not reasonable because 3 4 – 1 4 = 1 2 .
Answer:
Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .
Step-by-step explanation:
Given - Gina subtracted 6/8 from 1 and found a difference of 2/8 .
To find - Which statement best describes the difference of 6/8 from 1 is 2/8 ? Statement F : The difference of 2/8 is not reasonable because 1 – 3/4 = 1/4 .
Statement G : The difference of 2/8 is reasonable because 3/4 – 1/4 = 1/2 .
Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .
Statement J : The difference of 2/8 is not reasonable because 3/4 – 1/4 = 1/2 .
Proof -
If we subtract 6/8 from 1 , we get
[tex]1 - \frac{6}{8} = \frac{8 - 6}{8} = \frac{2}{8}[/tex]
So, the difference is 2/8
It is reasonable.
So,
The correct statement is - Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .
Reason -
As we can write
[tex]\frac{6}{8} = \frac{3}{4}[/tex] and [tex]\frac{2}{8} = \frac{1}{4}[/tex]
So,
either we subtract 6/8 from 1 or 3/4 from 1 , we get the same result because both the values are equal
So the correct statement is - H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .
Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store. He bought an item that was half price. If the item originally cost $43, what did Dan pay?
Answer:
$4.30
Step-by-step explanation
$43 x %50 = $21.50
$21.50 x %20 = $4.30
If the item originally cost $43 then Dan paid $17.20 for the item after the discount.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store.
We have to find the amount paid by Dan after the discount.
If the original price of the item was $43 and it was half price, then Dan paid:
$43 / 2 = $21.50
Dan also gets a 20% discount on this price, so the amount he paid after the discount is:
$21.50 - 0.20($21.50) = $17.20
Therefore, Dan paid $17.20 for the item after the discount.
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3). Find the area of a circle with a radius of
3 ft.
Answer:
Step-by-step explanation:
1.5
Answer:
A=πr2=π·32≈28.27433ft²
Step-by-step explanation:
HELP ASAP PLZ !!!!!!!!!
Answer:
1. n=3 Sum=60
2. n=6 sum=411
3. n=9 sum= 238.5
Step-by-step explanation: use the formula n( a1+A)
Ex: 3(19+21/2)= 60
n is the amount of numbers you have.
what is the area of this figure
Answer:
141
Step-by-step explanation:
2*3=6
5*9=45
6*15=90
141
Answer:
add all the sides I guess...
Step-by-step explanation:
or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape
What are the zeros of f(x) = x2 + 3x - 10?
O A. x = 5 and x = 2
O B. x= -5 and x = -2
O C. x= -5 and x = 2
O D. x = 5 and x= -2
The average mass of 5 man basketball team is 70Kg. Four of team members have a mass of 50kg, 62kg, 81kg, and 84kg What is the mass of the fifth player???? 15 POINTS!!!
Answer:
The mass of the fifth player is 73 kg
Step-by-step explanation:
Since the average mass of the 5 players is 70kg
what this mean is that the total sum of all the masses of the players is equal to the product of 5 and 70 kg
we have this as 5 * 70kg = 350 kg
So, by adding the masses of all the players, we get 350kg
Thus, for us to get the mass of the 5th player, we have to subtract the sum of the remaining 4 from the total 350kg
Mathematically, we have this as;
350 - ( 50 + 62+ 81 + 84) = 73 kg
PLEASE SHOW ME HOS TO DO IT!!
Answer:
Ok
Step-by-step explanation:
What are the TWO ways you chose to display the data?
A+6,when a=2?
Pls answer
Answer:
8
Step-by-step explanation:
a + 6; a = 2
2 + 6 = 8
Thus, The answer is 8
-TheUnknownScientist
How many people are in the office?
Answer:
around 150
Step-by-step explanation:
In ΔIJK, k = 81 inches, i = 65 inches and ∠J=28°. Find the area of ΔIJK, to the nearest square inch.
Answer: 1236
its the answer from deltamath
please n thank you uwu
Answer:
- 10
Step-by-step explanation:
Evaluate f(3) by substituting x = 3 into f(x) , that is
f(3) - 7 = - (3)² + 2(3) - 7 = - 9 + 6 - 7 = - 10
Pythagorean Thereom
6. Monique is making an ottoman for her living room. She covers the top of the ottoman with fabric. How much surface would she need to stain, if she stains the sides of the ottoman (excluding the bottom)?
A coin is tossed. If heads appears, a spinner that can land on any number from 1 to 3 is spun. If tails appears, a second coin is tossed instead of spinning the spinner. What are the possible outcomes?
H1 H2
H1 H2 H3 TH TT
HH HT
H1 H2 H3
Answer:
H1 H2 H3 TH TT
Step-by-step explanation:
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
8.
The sides given relative to angle x is the adjacent and opposite side. We can find x by using a trig function.
When using the adjacent and opposite sides, we use tangent.
The tan. of an angle, in this case x, is the opposite side over the adjacent side.
tan x=6/15
x=arc tan 6/15≈22
9.
cos 33°
You can use a calculator for this
10.
Because sin and cos are cofunctions, you can get x by doing 90-35=55°
z=55°
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer:
Milk costs 75 cents per litre.
Bread costs $1.75 per loaf.
Step-by-step explanation:
find the quotient
7 ($49.56