The value of sin (345)= (-sqrt6 + sqrt2)/4= -0.2588
What is Trigonometry?Trigonometry, the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (345)
Now, using Trigonometric identity
sin(a+ b)=sin a x cos b+ sin b x cos a
Now, expand 345= 300+ 45
sin(300 + 45)=sin 300 x cos 45+ sin 45 x cos 300
sin(300 + 45)= -√3/2 x √2/2 + √2/2 x 1/2
= -√6/4 + √2/4
= -0.2588
Hence, sin (345)= -0.2588
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Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Initial = 8[/tex]
[tex]Increment = 3[/tex] (every hour)
Required
Explain why it is linear
First, we need to determine the equation that represents the scenario
Let x be the number of hours worked and y be the number of figurines at x hours.
The equation is determined as follows:
[tex]y = Initial\ Figurines + Increment * x[/tex]
This gives:
[tex]y = 8 + 3 * x[/tex]
[tex]y = 8 + 3x[/tex]
Reorder
[tex]y = 3x + 8[/tex]
A linear equation is of the form
[tex]y = mx + b[/tex]
By comparison,
[tex]y = mx + b[/tex] is equivalent to [tex]y = 3x + 8[/tex]
Hence, we can conclude that the situation is linear
Answer:
The situation can be described using the equation y = 3x + 8
The rate of change is not constant.
Step-by-step explanation:
Find the slope for me no?ill give more point for right answer
Answer: 3/4
Step-by-step explanation:
Slope=rise/run
In this case: we rise 3 and run 4
Which best describes the clusters in the data set?
Number of Ripe Tomatoes on Each Plant in the Nursery
A dot plot going from 10 to 15. 10 has 1 dot, 11 has 1 dot, 12 has 4 dots, 13 has 5 dots, 14 has 4 dots, 15 has 6 dots.
There is no cluster in the data set.
There is one cluster at 13, 14, and 15.
There is one cluster at 12, 13, 14, and 15.
There are two clusters at 13 and at 15.
Answer:
its c
Step-by-step explanation:
i promise you
Answer:
Its c
Step-by-step explanation:
Daniel works no more than 16 hours a week while attending college. He wants to spend at least 2 hours but no more than 10 hours a week parking cars. He is paid $8 (x) and $7 per hour working at the Haul-mart store (y). What are Daniels maximum earnings?
Answer:
The maximum earning is $122
Step-by-step explanation:
The computation of the Daniel maximum earnings is as follows;
Since there is total of 16 hours
so 10 hours would be for parking cars and the remainig hours i.e.
= 16 hours - 10 hours
= 6 hours
This above hours for working at store
So,
= 10 hours × $8 + 6 hours × $7
= $80 + $42
= $122
Hence, the maximum earning is $122
what number when added to 1 1/3 gives 2?
Answer:
2/3
Step-by-step explanation:
The answer is 2/3 because 1/3 + 2/3 = 1. So when you take the 1 you already had and add the new 1 you get 2.
The number that can be added to 1 1/3 gives 2 is 2/3
Solution:
Subtract 1 1/3 from 2 to get the number
2 - 1 1/3
= 2 - 4/3
= (6-4) / 3
= 2/3
check:
1 1/3 + 2/3
= 4/3 + 2/3
= (4 + 2) / 3
= 6/3
= 2
Therefore, the number that can be added to 1 1/3 gives 2 is 2/3
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An account grows at an annual interest rate of r, so it grow by a factor of x=1+r each year. The function gives the amount in the account after 4 years when the growth factor is x. What is the total amount in the account if the interest rate for the account is 3% each year?
Complete question :
An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.
1) What is the total amount in the account if the interest rate for the account is 3% each year?
Answer:
2,431.311498
Step-by-step explanation:
Given that:
Growth factor (x) = (1 + r) per year
If rate (r) = 3% = 0.03
x = 1 + 0.03 = 1.03
Amount in account after 4 years is given by the function :
A(x)= 800x^4 + 350x^3 + 500x^2 + 600x
Put x = 1.03 to obtain the total amount ;
A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)
= 2431.311498
Hence, total amount in account after 4 years = 2,431.311498
-5(-x – 3) - x + 2 = 1
PLEASE HELP ME! & FIND Y
Answer:
Y ≈ 59.0°
Step-by-step explanation:
Using the Cosine Rule in Δ XYZ
cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]
Here x = 22, y = 20, z = 22, then
cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]
= [tex]\frac{484+324-400}{792}[/tex]
= [tex]\frac{408}{792}[/tex] , thus
Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )
Need help! Similarity of triangles
Answer:
x = 12
Step-by-step explanation:
Comparing corresponding sides of the 2 similar Δ 's inside the larger, then
[tex]\frac{x}{6}[/tex] = [tex]\frac{6}{3}[/tex] ( cross- multiply )
3x = 36 ( divide both sides by 3 )
x = 12
Jo Bob’s gyro truck sold 114 gyros for lunch on Wednesday. The driver sold 98 gyros at the first stop. At the next stop, the Jones family and the Brown family bought the remaining gyros, divided equally between the two families. Each gyro cost $2.24. How much did the Jones family pay for their gyros?
Answer:
they pay $17.92
Step-by-step explanation:
114-98=16
16÷2=8
8×2.24=17.92
A department store buys 300 shirts at a cost of 1,800 and sells them for $10 each. FInd the percent markup rounded to the nearet percent.
Answer:
167%
Step-by-step explanation:
1800/300=$6 apiece
6x = 10
10/6 = x
x = 1.67, or 167%
how to find slope in a non proportional table
Answer:
Put the equation in the form y = mx + b.
Plot the y-intercept, (0,b).
Use the slope to find another point on the line.
Connect the two points in a straight line.
Step-by-step explanation:
how do you find the area of a square
to find the area of a square, take length x width.
example:
length= 2
width= 7
2 x 7= 14
HELP ILL MARK BRAINLIEST
Please just do questions 4. And 5.
Answer:
1/8 will be 0.125 as a decimal so that is greater than 0.12! so it will be this [tex]1.8 \geq 0.12[/tex]
Answer:
Step-by-step explanation:
4. 1/8 > 0.12
5. -6/7 < -5/6
6. 3/10 + (-7/10) = -4/10= -2/5
7. -4/9 - 1/9 = -5/9
can someone help me
Answer:
KN = LN
Step-by-step explanation:
JN and MN are equal to each other so the other lines KN and LN are also equal to each other
Need help ASAP!?
Which equation represents h?
A)
h = 20(sin35)
B)
B
h = 19.5(sin359)
C
h =
19.5
(sin35)
20
D)
20
h =
(sin35)
19.5
Answer: The correct answer is B) 19.5(sin35)
Step-by-step explanation:
I took the practice
HELP!! :{
Will crown you only real answers plz!!
Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression represents her weekly income when Stephanie generates w dollars in total sales? 180 + 0.03 w 180 + 0.03 + w 180 (0.03) w 180 (0.03) + w i actually have one more
Answer:
180(.03)
Step-by-step explanation:
always multiply the percent
Jamie spent $25 for a new Puma flip flop for her father as a Christmas gift. If tax is 8 percent, how much did she spend including tax?
Answer:
$27
Step-by-step explanation:
25 * 0.08 = 2
25 + 2 = 27
Need help please! I'll give you BRAINLESIT!
Answer:try answer C
Step-by-step explanation:
That’s what I got when I did the math I could be wrong but I double checked.
Answer: most likely the second one
Step-by-step explanation:
A line has a slope of 10 and passes through the point (0, 7). What is its equation in slope intercept form?
Answer:
slope is 10x
Y - intercept is 7
Step-by-step explanation:
The equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a line that has a slope of 10 and passes through the point (0, 7).
Assume the equation of the line to be -
y = 10x + c {since m = 10}
For the point (0, 7), we can write -
7 = 10 x 0 + c
c = 7
So, the equation of the line will be -
y = 10x + 7
Therefore, the equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7
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if m=-2,then what is n in this equation
Answer:
n=-1
Step-by-step explanation:
Plug in m=-2 into the given equation and solve
5(-2 - n) =5n
Distribute the 5 to the -2 and -n
-10-5n=5n
Isolate the variable to one side by adding 5n to the right side of the equation.
-10=10n
Isolate the variable by dividing by 10 on both sides.
-1 = n
Jada was training for a race. She ran 1⅓ miles on Monday. On Tuesday, she only ran of ⅚ a mile. She decided to take the day off on Wednesday. Jada ran 2¾ miles on Thursday and ended the week with a 1½ mile run on Friday. How far did Jada run this week?
Answer: 5 5/12 miles
Step-by-step explanation:
The following are the distance covered by Jada for the week.
Monday = 1 1/3 miles
Tuesday = 5/6 miles
Wednesday = 0
Thursday = 2 3/4 miles
Friday = 1 1/2 miles
Total distance for the week will be:
= 1 1/3 + 5/6 + 2 3/4 + 1 1/2
The lowest common multiple of 3,6,4 and 2 is 12. The fractions will then be
1 4/12 + 10/12 + 2 9/12 + 6/12
= 3 29/12
= 3 + 2 5/12
= 5 5/12
Jada ran 5 5/12 miles this week
If y = 12 when x = 6, determine y when x = 18.
This is extremely hard for me please help
Answer:
dang that is hard
Step-by-step explanation:
Answer:
c. y=-3x+4
Step-by-step explanation:
to find slope
m= y2-y1
-------
x2-x1
I'm gonna use coordinates (-2,10) and (-1,7)
m= 10-7
----
-1-2
m= -3
I'm gonna use coordinate (-2,10)
Now substitute into y=-3x+b to find the y value
10=-3(-2)+b
10 =6+b
minus 6 on both sides and y=4
Pls help ASAP will give brainlist
Answer:
h,f,g I think I'm not sure maybe wait for the next person to make sure
F) F,G,H is your answer! :)
Step-by-step explanation:
Hope this helps
I figured this out because 90% of the time angles go clockwise so the smallest would be 8 inches, then it would got to the second smallest 9 inches, then it would go to the largest 11 inches
Tell me if i am correct or not! :)
2. 3m - 9n = 24 solve for m
Answer:
m=8+3n
Step-by-step explanation:
Move all terms that don't contain m to the right side and solve.
Hope this helps <3
The bakers at Healthy Bakery can make 240 bagels in 10 hours.
How many bagels can they make in one hour?
Answer:
30
Step-by-step explanation:
Minus 240 by 200
240 - 200 = 40
Then, minus 10
40 - 10 = 30
30/hour
Hope this helps :)
HOW DO YOU SOLVE THIS!!!:/
Graph the line x=-1.
Answer:
The function x=−1 means that for all values of y , the value of x=−1 . This is represented by a vertical line at x=−1
Step-by-step explanation:
Answer:
Theres an mnemonic device: HOY/VUX
H - horizontal
O - 0 slope
Y-axis
-
V-vertical
U- undefined slope
X-axis
So in this question, x=-1 would be a vertical line at x=-1