Answer: [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Step-by-step explanation:
To find [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})[/tex], we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.
[tex]tan(\frac{13\pi }{4} )[/tex] is the same as [tex]tan(\frac{5\pi }{4} )[/tex]. The point for [tex]\frac{5\pi }{4}[/tex] is (-0.5,-0.5). Tangent is [tex]\frac{sin}{cos}[/tex]. Since sin and cos are both -0.5, we can divide them.
[tex]\frac{-0.5}{-0.5} =1[/tex]
Now, we know that [tex]tan(\frac{13\pi }{4} )=1[/tex]. All we have to do is find [tex]cos(\frac{\pi }{3})[/tex].
[tex]cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Now that we know the values of both, we can directly subtract them.
1-0.5=0.5
Therefore, [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex].
7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.
Answer:
Error was at the fourth line: 12 = 16x
Correct solution: x = ½
Step-by-step explanation:
Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.
10 - 2x = 19x + 2 - 5x (given)
10 - 2x = 19x - 5x + 2
10 - 2x = 14x + 2
Add 2x to both sides
10 - 2x + 2x = 14x + 2 + 2x
10 = 14x + 2x + 2
10 = 16x + 2
Subtract 2 from both sides
10 - 2 = 16x + 2 - 2
8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)
Proceeding further with our calculation, we would divide both sides by 16
8/16 = 16x/16
½ = x
x = ½.
Find Cos N 73 48 E 55
Answer:
1. cos73 is 0.29
2. cos48 is 0.67
3. cos55 is 0.57
These are the answers for cos. Hope this helps!
Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
Answer:
B. 16°Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
x = 16
Hence the value of x is 16°
HELPP PLEASEEEE THANK YOUUU MU FRIEND!
Answer:
co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1
Step-by-step explanation:
Describe and correct the error in finding the value of the power.
8 to 3power= 8x3 = 24
The exponent is written as a ______,
but it should have been used to indicate the number of
times the ______
is used as a factor.
The answer should be 8 to 3 power =____=____.
Answer:
regular number; base
Step-by-step explanation:
Answer:
1. Multiplication
2. 8
3. 8^3=512
Please answer this!
Who invented maths?
Answer:
ancient greek invented math
There are 61 centimetres of liquorice to be shared equally among 7 people. What length of liquorice will each person get?
Answer:
8.71428571
do 61 divided by 7. Simple math.
Answer:
8.714
Step-by-step explanation:
Divide 61 centimeters by the 7 people getting the liquorice to get 8.7142857143.
From here you can round.
I rounded to the thousandths place but you can also round it up to 8.71 or 8.7 or any other digit if it suits your answer.
Hope this helps!
which is the correct answer?
Answer:
105°
Step-by-step explanation:
The measure of a right angle is = 90° if the original angle is 15° less than right angle than 90 + 15 = 105°
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?
Given :
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .
In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.
To Find :
How much will it cost to carpet the bedroom.
Solution :
Length of bedroom , l = 5.5 × 3 = 16.5 ft.
Width of bedroom , w = 3.25 × 3 = 9.75 ft.
SO, area of bed room is :
[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]
Now, cost to carpet the bedroom is :
[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]
Hence, this is the required solution.
Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).
Answer:
(x, y) = (-6, 3)
Step-by-step explanation:
Maybe you want to solve ...
y = -2x -92x +3y = -3Use the first equation to substitute for y in the second:
2x +3(-2x -9) = -3
2x -6x -27 = -3
-4x = 24 . . . . . . . . . add 27, simplify
x = -6 . . . . . . . . . . . divide by -4
y = -2(-6) -9 = 12 -9 = 3
The solution is (x, y) = (-6, 3).
x = |y| a function?
Answer:
yes
Step-by-step explanation:
it is a function. it i think is a linear function
please help meeeee asappp
1. 81
2. 2 4/25
3. 2⁵×3
4. 2,040
Find the equation of the line with slope 7 which goes through the point (-2,-9). Give your answer in slope intercept form y=mx+b
Answer:
I need the to solve dis question
Answer: y=7x+5
Step-by-step explanation:
Evaluate 27 x 1/3 to the third power.
Answer:
If i'm not mistaken its 1
Step-by-step explanation:
7.83mm= km (using the metric staircase)
Answer:
7.83 mm to km
7.83* 10^-6 or 7.83/10^6
0.00000783 km
In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)
Answer:
I'm fairly certain the answer is A, The first one
explanation:
Ray OB is between rays OA and OC
I need Help Asap Please Please
Answer:
C
Step-by-step explanation:
Need help with these
Answer:
a. 0.07
b. 0.17
c. 0.333
d. 0.417
1) What is the absolute value of 50?
Answer:
50
I hope this helps!
Write equation of the line that passes through (4, 2) and (7,20)
How many ounces (oz) are 1 pound (lb)
If there is 22400 rupee expense of 14 men for 8 days then how many expense of 7 men for 13 days? please explain thanks
Answer:
The expense of 7 men for 13 days is 18,200 Rs.
Step-by-step explanation:
The expense of 14 men for 8 days = 22400
The expense of 14 men per day = 22400/8 = 2800
The expense of 1 man per day = 2800/14 = 200
The expense of 7 men per day = 200*7 = 1400
The expense of 7 men for 13 days = 1400*13 = 18200
Hope that helps :)
Which is equivalent to 2x(+7)18x+4/5
Answer:
-16x +[tex]14 4/5
Step-by-step explanation:
The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?
Answer:
12
Step-by-step explanation:
S1. Three numbers are in the ratio of 2:3:4. The sum of their cubes is 3,34,125. Find the numbers.
Answer:
Step-by-step explanation:
sum of their cubes=0.334125
The ratio of three numbers is 2:3:4.
Let the numbers be 2x, 3x and 4x.
Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3
(8x^3) + (27x^3) + (64x^3) = 99x^3
99x^3 = 0.334125
x^3 = (0.334125) / 99
x^3 = 0.003375
x^3 = (0.15)^3
x = 0.15
Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6
Identify the intersection of line l line m
A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?
Answer:
$4.95
Step-by-step explanation:
If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.
Which of the following expressions is equivalent to 2x + y − 4y + 8?
a) 2x − 3y + 8
b) 3x − 4y + 8
C) 2x + 3y + 8
D) 2x − 4y + 8
Answer:
a) 2x - 3y + 8
Step-by-step explanation:
Problem: 2x + y - 4y + 8
Solve: y - 4y
Put it back into the expression: 2x - 3y + 8
s=gr-5gc³, solve for g
Answer:
g=r/1+5c3
Step-by-step explanation:
............ ........
What is 200 ÷ 6.24 How do you work this out