Answer:
The answer is 1 /2
Step-by-step explanation:
Cos, tan and sin are all positive in the first quadrant, but depends on the direction of the angle. Reference angle here we are looking for is the one in relation to the quadrant cos 5pi/3.
Any multiples of cos outside 2nd quadrant will give a positive value.
cos 5pi/3 is located in the 4th quadrant, while, cos pi/3 is located in the 1st quadrant, where the cos ratio has a positive value.
In terms of cosine, anytime the angle falls on the first or fourth quadrant it will always produce a positive graph.
For cos 5pi/3, cos pi/3 and cos 7pi/3 will give the same answer as "1/2" or "0.5" because, cos pi/3 will give 60 degrees which fall in the first quadrant
If "R" is a real number, for all R multiplied by pi/3, the new value gives an angle in the first or fourth quadrant, the angle will be 0.5
The exact value of cos 5 ( π /3 ) is 1 /2 .
Water is draining from an aquarium at a rate of
3 gallons per minute. Write a multiplication expression using integers to show the total change to the amount of water in the aquarium after 45 minutes of draining. Then determine and explain that amount.
135 gallons of water in the aquarium after 45 minutes of draining.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that water is draining from an aquarium at a rate of 3 gallons per minute.
The total change in the amount of water in the aquarium after 45 minutes of draining is as:
⇒ 45×3
Apply the multiplication operation in the integers,
⇒ 135 gallons
Hence, 135 gallons of water in the aquarium after 45 minutes of draining.
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Find the area of the segment of the circle.
Answer:
9π/4 - 4.5 unit^2.
Step-by-step explanation:
The are of the segment = area of the sector - area of the triangle.
Area of the sector = 1/4 * area of the circle
= 1/4 π 3^2
= 9π/4. unit^2
Area of the triangle
= 1/2 * 3 * 3
= 9/2 unit^2.
So the answer is 9π/4 - 4.5 unit^2.
if i want to.find out when an object hirs the ground i should _____
Answer:
You should test out with different objects in different places. But, I would be careful not to use anything that could break!
What is the surface area of a cylinder with base radius 3 and height 6?
Either enter an exact answer in terms of 7 or use 3.14 for and enter your answer as a decimal.
6
square units
Report a problem
Stuck? Watch a video or use a hint.
Answer:
I think the answer is 169.65
Answer:54 pi
Step-by-step explanation:
18 19 20 please thank you
Answer:
18a) The height of tree is 6.34ft.
Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.
b) 11.54 degree
Step-by-step explanation:
18a) sin(25) = 0.4226182617 is what you multiply to check the height.
15 x 0.4226182617 = 6.339273926 = 6.34ft.
Using the measurements of pythagoras you can scale each measurement above. 6.34 = (x0.5) = 3.17cm to draw the trees height.
15ft wire = scale the diagram draw 1cm = 2ft So that 7.5cm = = 15ft
Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.
This will make a 7.5cm slope and label it 15ft.
We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.
We find the base measurement by finding the square of each 15 and 6.34
c^2 - a^2 = b^2
a= 6.34 x 6.34 = 40.1863939089 = √40.19
c = 15 x 15 = √225
c-b = √225 - √40.19 = √184.81
side = b
b^2 = √184.81= 13.5944841756 = 13.59ft
18 b) To find an angle x with given measurements 4ft base and 20ft slope we
use sin( base/slope) = (run/rise)
So that 4/20 = 0.2
Then plug in for sin -1 0.2 = 11.54 degree = (calc ..11.53695903)
Notes;
If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).
Solve: 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5)
25/45 + (-36/45)
(Multiplied each side by opposite denom.)
25/45 -36/45
Simplify
25-36=-11
-11/45
Cannot simpfily
Answer:
Step-by-step explanation:
5/9 + (-4/5)
-11/45 or − 0.244444444 and on and on forever
RUNNING OUT TIME SOMEONE HELP! :)
Answer:
top right
Step-by-step explanation:
linear function means straight line
The only function that is a straight line is the top right
Answer:
Upper Right
Step-by-step explanation:
A linear function is a line
Factor
x^2−6x+8
(x+4)(x−2)
(x+4)(x+2)
(x−4)(x+2)
(x−4)(x−2)
Answer:
(x-4)(x-2)
Step-by-step explanation:
Using The AC Method
what is the value of x?
Answer:
16.1
Step-by-step explanation:
A spinner marked with four sections blue, green, yellow, and red was spun 100 times. The results are below. Find the experimental probability of landing on green? *
Answer: 25% maybe
100/4=25
Answer:
It would be 25%.
Step-by-step explanation:
Since there are four colors, the probability would be 25 out of 100. This can be turned into 1/4. therefore 1/4 equals 25.
What is the simplest form of this expression?
5(-8m - 4) + (-5)(-9m - 5)
Enter the correct answer.
DOG
DONE
Clear all
+ ?
Answer:
5m +5
Step-by-step explanation:
5(-8m - 4) + (-5)(-9m - 5)
Distribute
-40m -20 +45m +25
Combine like terms
-40m+45m -20+25
5m +5
30 students apply for a scholarship,
10 have college degrees
18 have school certificates
8 have both qualifications.
(a) Draw a Venn diagram to show thi
information.
(b) How many students have no
qualification?
Answer:
A - school certificates
B - college degrees
So 30 - (10 + 8 + 2) = 10 have no qualification
n
What is the sum?
2.
X
X+ 3
+
3
X+ 3
+
X+ 3
ا اتيا
X+5
X+ 3
X+5
3x+27
6x
X+ 3
Answer:
x+5/x+3
Step-by-step explanation:
20 POINTS EACH PERSON
The perimeter of a rectangular swimming pool is represented by the expression 8x – 2. If the width of the swimming pool is represented by the expression x – 1, which expression represents the length of the pool? 7x – 1 6x – 4 3x 6x
Answer:
61 ft
Step-by-step explanation:
Answer:
The length of rectangle is 3x.
Step-by-step explanation:
Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :
[tex]p = 2l + 2w[/tex]
Let p = 8x - 2,
Let w = x - 1,
[tex]8x - 2 = 2l + 2(x - 1)[/tex]
[tex]8x - 2 = 2l + 2x - 2[/tex]
Next you have to find the expression for length by moving all the unrelated terms to the other side :
[tex]8x - 2 - 2x + 2 = 2l[/tex]
[tex]2l = 6x[/tex]
[tex]l = 3x[/tex]
guys i need help lol
Answer:
x = 17°, m∠ A = 114°
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
x = 17 ⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
m∠ A = 114
Solution; x = 17°, m∠ A = 114°
Answer:
x = 17, ∠A = 114°
Step-by-step explanation:
I'm 8 years old and I know how to do this.
6x + 12 = 3x + 63
3x + 12 = 63
3x = 51
x = 17
6(17) + 12
102 + 12 = 114
find the decimal equivalent to 4/15
Answer:
0.2667
Step-by-step explanation:
Answer:
.266 repeating
Step-by-step explanation:
divide 4 by 15 : )
I need a step by step solution ASAP
Answer:
C 4 /x^2
Step-by-step explanation:
20x / 5x^3
First divide the numbers
20/5 = 4
Then divide the variable
x/x^3 = x/ xxx = 1/ xx = 1/x^2
We are left with
4/x^2
Two cars are doing a race around a 20-km track. They start from the same place at the same time. The speed of first car is 60 km/h, speed of second car is 80 km/h. How long will it take second car to lap the first car?
Answer:
20 km less than the first car
Step-by-step explanation:
approximate the value of 5 pi
Answer:
15.7079
Step-by-step explanation:
Answer:
slightly more than 15
Step-by-step explanation:
Tip: Use a calculator, it is very helpful and most often allowed in exams that include the calculation of pi.
1. Setup the problem: 5(pi)
2. Plug in the problem to receive: 15.70796...
3. The answer is slightly more than 15
ALSO: The first 3 digits of pi are 3.14, which is near the whole number 3. 5x3 = 15, so it is slightly more than 15.
I need a step by step for this question because I am not understanding the second half.
A coin is flipped 160 times. It landed on heads 82 times and tails 78 times. A different coin is flipped 250 times. It landed on heads 115 times and tails 135 times.
What is the empirical probability of flipping a heads on the first coin AND flipping a heads on the second coin?
baseball card that was valued at $200 in 1980 has intreased in value by 7% each year. Write a function to model this situation, then find the
value of the card in 2016.
The function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.
What is simple interest?"Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same".
For the given situation,
Principle, P = $200
Rate of interest, R = 7% = 0.07
Number of years from 1980 to 2016, N = 36
The total amount in 2016 can be modeled as the equation,
[tex]A=P(NR+1)[/tex]
⇒ [tex]A = 200[(36)(0.07)+1][/tex]
⇒ [tex]A=704[/tex]
Hence we can conclude that the function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.
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Find the solution of this system of equations
-3x - 5y = -26
X - 5y = -38
Answer:
the answer would be (-3,7)
Determine the change to diagonal one of a rhombus if the area is multiplied by 1/8 and diagonal two is multiplied by 1/2 . Answer: Diagonal one is multiplied by
Answer:
Diagonal one is multiplied by 4
Step-by-step explanation:
area = dia 1 * dia2 / 2
area/8 = dia1/x * dia2/2 / 2
->x = 4
how does the graph of y = sqr x + 2 compare to the graph of the parent square root function?
I’m not sure how I would use the theorem
I need help with this please ASAP!!!!
Answer: I hope this helps, I also used to have trouble with pythagorean therom
All of them are a right triangle because they have that little square in the corner, and no matter what, if it has that it is a right triangle.
Step-by-step explanation:
I'm guessing that the therom you need help with is pythagorean therom
a^2+b^2=c^2
Step 1: Draw a right triangle and then read through the problems again to determine the length of the legs and the hypotenuse. Step 2: Use the Pythagorean Theorem (a2 + b2 = c2) to write an equation to be solved. Step 3: Simplify the equation by distributing and combining like terms as needed.
a = side of right triangle
b = side of right triangle
c = hypotenuse -(longest side of the triangle)
Put these numbers in order, smallest to largest 4.9 9.44 9.4 4.09 4.99
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
Answer:
4.09, 4.9, 4.99, 9.4, 9.44
Step-by-step explanation:
avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados.
pleasee hellpp asappp!!!
if possible, whoever answers this can you put a picture of what the graph would look like please and thank you :)
Answer:
y = 3x
Step-by-step explanation:
sorry cant do the graph
I have no clue! Please help!
The..... , ....... and.....of three-dimensional figures can be measured.
A. Weight
B. width
C. altitude
D. length
E. height
The length, width, and height of three-dimensional figures can be measured.
What is the volume of a Cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
Let the length of the cuboid be = L
Let the width of the cuboid be = W
Let the height of the cuboid be = H
Now , length, width, and height of three-dimensional figures can be measured.
Therefore, the correct options are D. length, E. height, and B. width.
Option A. weight refers to the force exerted on an object due to gravity, and option C. altitude refers to the height above sea level.
Hence , the cuboid is a three-dimensional figure
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PLEASE HELP ME!!!
I don't understand....
If possible, please explain!
Answer:
55
Step-by-step explanation:
Since this is an isosceles triangle, the angles at the bases of the identical legs must be equal
<A = <C
3x+40 =x+50
Subtract x from each side
3x-x+40 = x+50-x
2x +40 = 50
Subtract 40 from each side
2x+40-40=50-40
2x = 10
Divide each side by 2
2x/2=10/2
x = 5
We want to find <A
3x+40
3(5)+40
15+40
55
