Answer:
The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
sin²Ф + cos²Ф = 1sin²Ф = 1 - cos²Фcos²Ф = 1 - sin²Ф∵ sin Ф = [tex]\frac{\sqrt{3}}{2}[/tex]
∴ sin²Ф = [tex](\frac{\sqrt{3}}{2})^{2}[/tex]
∴ sin²Ф = [tex]\frac{3}{4}[/tex]
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - [tex]\frac{3}{4}[/tex]
∴ cos²Ф = [tex]\frac{1}{4}[/tex]
→ Take square root for both sides
∴ cos Ф = ± [tex]\frac{1}{2}[/tex]
∴ The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
When testing for current in a cable with eleven color-coded wires, the author used
required for every possible pairing of two wires?
meter to test two wires at a time.
The number of tests required is
Simplify (2s+5-3s)+4(s-6^2)
Answer: 3s-139
Step-by-step explanation: (2s+5 - 3s)+4(s-6^2)
Collect like terms and evaluate
(-s+5) +4 (s-36)
Rewrite and remove the parentheses
-S+5 +4s -144
Collect like terms and calculate and you get
3s-149
Which function is represented by the graph?
|-x+3
x + 3
-x + 3
l-xl +3
NOBODY EVEN ASKS THESE QUESTIONS
Answer:
C
Step-by-step explanation:
Answer: C is the correct answer on edge
Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?
The multiplication that takes place while distributing comes before addition and subtraction in order of operations.
In order to combine like terms on one side of the equation, the inverse operation must be used.
When the problem is worked in the correct order, the numbers that Maricella added are not actually like terms.
Maricella did not combine all three constants on both sides of the equation; she combined only two.
Answer:
its A yo
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which of the following numbers can be expressed as repeating decimals? (5 points) 4 over 7 , 2 over 5 , 7 over 8 , 4 over 9 4 over 7 and 4 over 9 7 over 8 and 4 over 9 4 over 7 and 2 over 5 2 over 5 and 7 over 8
Answer:
4/9
Step-by-step explanation:
Answer:
4/9 and 4/7
Step-by-step explanation:
Which algebraic expression represents “the quotient of a number and thirty"?
30 + a
30a
30/a
a/30
Answer:
a/30
Step-by-step explanation:
quotient means divide
a/30 because "a number" was first in the expression
Answer:
a/30
Step-by-step explanation:
i took the test
[Insert Long, Boring, Smart, Explanation that deserves to be marked as Brainliest, and will be verified after about a year lol]
The segments shown below could form a triangle.
А
С
B
5
6
В
12
O A. True
O B. False
Answer:
its false
Step-by-step explanation:
The three line segments cannot form a triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of side AC = 6 units
The measure of side BC = 5 units
And , the measure of side AB = 12 units
where AC + BC = 11 units
And , AC + BC < AB
So , the triangle cannot be formed when the sum of two sides is less than the third side
Hence , the triangle cannot be formed with 6 , 5 and 12 units of measurements
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What is it called when the rate of Change is the same on the entire graph
Answer:
Constant rate of change. The rate of change is the same on the entire graph.
Step-by-step explanation:
I am so lost an I can't fail this class
Classify the following: 9G-7
Answer:
Expression
Step-by-step explanation:
its expression
Karen Gaines invested $13,000 in a money market account with an interest rate of 3.25% compounded Semiannually. Four years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account?
Answer:
$16,380Step-by-step explanation:
The Verrazano Narrows Bridge has a main span of 3,260 feet. The Akashi Kaikyo Bridge has a main span that is about 54% longer. What is the length of the main span of the Akashi Kaikyo Bridge to the nearest foot?
Answer:
Rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.
Step-by-step explanation:
Given that the Verrazano Narrows Bridge has a main span of 3,260 feet, while the Akashi Kaikyo Bridge has a main span that is about 54% longer, to determine the length of the main span of this last bridge, the following calculation must be performed:
3,260 x 1.54 = X
5,020.4 = X
Thus, rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents
Answer:
3 hair colorings and 4 hair cuts
Step-by-step explanation:
The time for haircut is 2 hours and for coloring is 6 hours, haircut needs to make a minimum amount of $150.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price.
Given that,
The charges of haircut= $15 and time taken for haircut is 30 minutes,
The charges of coloring= $30 and time taken for coloring is 2 hours.
To make minimum $150 profit in 8 hours
Let in a day he spends x hours for haircut, the 8-x hours will be spent for coloring.
2×x×15+1/2×(8-x)×30≤150
30x-15x+120≤150
15x≤30
x≤2
So, x=2 hours(4 haircut),
then time for coloring = 8-2 = 6 hours (3 hair color)
And amount =4×15+3×30=150
So the time for haircut is 2 hours and for coloring is 6 hours.
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geometry is experienced that in the early childhood setting through
playing with blocks??
What is the solution of StartRoot 2 x + 4 EndRoot = 16? x = 6 x = 72 x = 126 no solution
Answer:
x=126
Step-by-step explanation:
C on edge just took the test.
[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given equation
[tex]\sqrt{2x+4}=16[/tex]
Squaring on both sides
[tex](\sqrt{2x+4} )^{2} =16^{2}[/tex]
⇒ [tex]2x+4=256[/tex]
Subtract 4 on both sides.
⇒ [tex]2x +4-4=256-4[/tex]
⇒ [tex]2x = 252[/tex]
⇒ [tex]x =\frac{252}{2}[/tex]
⇒ [tex]x = 126[/tex]
[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].
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If f(x)=4x+5 what is f(4)
Answer:
Step-by-step explanation:
f(4) = 4(4) + 5
f4= 16 + 5
f4= 21
f = 21/4
f= 5.25
[tex]\frac{20}{24}[/tex] = [tex]\frac{x}{48}[/tex]
SOLVE FOR X!
Answer:
x = 40
Step-by-step explanation:
Set up a proportion.
20/24 = x/48
Divide 48 by 24.
48 / 24 = 2
Multiply 2 by 20.
2 x 20 = 40
x = 40
Answer:
[tex]x=40[/tex]
Step-by-step explanation:
We have:
[tex]\frac{20}{24}=\frac{x}{48}[/tex]
First, we can reduce the left-hand side. Reduce both the numerator and the denominator by 4. Thus:
[tex]\frac{5}{6}=\frac{x}{48}[/tex]
Cross-Multipy:
[tex]6x=240[/tex]
Divide both sides by 6. Hence, the value of x is:
[tex]x=40[/tex]
Which number has an absolute value that is less than 25?
Answer:
l-25l
Step-by-step explanation:
givin: 3x<-9 choose the solution set
If you roll a number cube, what is the theoretical probability of rolling an odd number? If the experimental probability of rolling an odd number was 13 out of 20 times, is the experimental probability equal to the theoretical probability?
Answer:
5/6
Step-by-step explanation:
What is the slope of the line on the graph?
Answer:
mx plus b
Step-by-step explanation:
the slope is 1 -2
Each container below describes a ratio of marbles.
Drag marbles to each container to match the description.
Answer:
Step-by-step explanation:
bro that is easy first box will have 4 red 1 blue, second would have 3 reed 2 blue, last one would be 4 blue 1 red
Given the polynomial 2xcube + 5xsquare + 3x +4 what is it’s value when x= 10
Answer:
2534
Step-by-step explanation:
2x^3+5x^2+3x+4
x=10, so:
2(10)^3+5(10)^2+3(10)+4
2000+500+30+4
Answer: 2534
7. What is the value of any real number raised to 0?
A. 1
C.O
B.
2
D. 3
Answer:
A. 1
Step-by-step explanation:
The value of any real number raised to 0 is 1.
8 poin
Question 10. Find the retail sale price of each item below. Round to two
decimal places when necessary. Original price: $119; Markdown: 70 %*
$80.50
$189.00
O $35.70
O $76.90
Answer:
The correct answer is option C.$35.70
b. The cleaning company charged a total of $83 to clean Peter's house. How many hours did it take to
clean Peter's house?
Answer:
umm... the question is incomplete!!
WILL MARK BRAINLIEST! Fill in the blanks. I genuinely need help so please only answer if you know, thank you!
Complete the missing value in the solution to the equation:
7 + 5x = =3(y-2)
( ,5)
Answer:
x = 2/5
Step-by-step explanation:
Given:
7 + 5x = 3(y-2)
Rearrange this equation such that x is expressed in terms of y
7 + 5x = 3(y-2) (expand right side)
7 + 5x = y(3)-2(3)
7 + 5x = 3y-6 (subtract 7 from both sides)
5x = 3y - 6 - 7
5x = 3y - 13
we are given the y-value of the coordinate pair (? , 5)
simply substitute y=5 into the equation above
5x = 3y - 13
5x = 3(5) - 13
5x = 15 - 13
5x = 2 (divide both sides 5)
x = 2/5
plzzzzzz help me thank you :))
Answer:
1 and 1/4
Step-by-step explanation:
Can someone help me?
Choose an inequality for each situation.
1. Last Wednesday, there was more than 4 inches of snow. _________________
2. Yesterday, there was less than 25 inches of snow. _________________
3. The temperature tomorrow will be no more than 8 °F. _________________
4. The temperature today will be at least 7 °F. _________________
Answer:
The symbols that we will use are:
a > b (a is larger than b)
a < b (a is smaller than b)
a ≥ b (a is larger than or equal to b)
a ≤ b (a is smaller than or equal to b).
1) if x represents the inches of snow, we have:
"More than 4 inches" means that x must be strictly larger than 4 inches, this can be written as:
x > 4 inches.
2) "less than 25 inches" means that x must be strictly smaller than 25 inches, this can be written as:
x < 25 inches.
3) If T represents the temperature
"No more than 8°F" means that the temperature can be smaller than 8°F, or equal to 8°F, then we can write this situation with:
T ≤ 8°F
4) "At least 7°F" means that the temperature can be 7°F or more than that, then we can write this situation as:
T ≥ 7°F