Step-by-step explanation:
1/sin10-√3/cos10
= (cos10 - √3sin10)/cos10sin10
multiplying 1/2 in denominator and numerator
= {(cos10/2) - (√3sin10/2)}/(cos10sin10/2)
= (cos60cos10 - sin60sin10)/(cos10sin10/2)
= cos(60 + 10)/(cos10sin10/2)
= cos70/(cos10sin10/2)
= 2cos70/cos10sin10
multiplying 2 on numerator and denominator
= 4cos70/2sin10cos10
=4cos70/sin20
=4cos70/cos70
= 4 proved
2. Ten is the same as the quotient of n and five increased by six
Answer:
10=n/5+6
Step-by-step explanation:
Sole The Problem Below
Answer:
1
Step-by-step explanation:
you can just use trial and error
I hope that this helps!
A couple of travelers are buying souvenirs at the gift shop in Istanbul, Turkey. Jake buys a
keychain for $7.65 and 5 pounds of Turkish delights. Tina buys postcards for $2.45 and 4
pounds of Turkish delights for her mom. Use the variable p to represent the price, in dollars,
per pound of cherries. Write and simplify an expression to represent how much more Jackson
spent.
Answer:
The answer is below
Step-by-step explanation:
Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:
money spent by Jake = 7.65 + 5p
The money spent by Tina who bought 4 pounds of Turkish delight is:
Money spent by Tina = 2.45 + 4p
The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p
Help I will give brainly
Answer:
C.
Step-by-step explanation:
A negative number divided by a negative number is a positve number.
Answer:
c and d
Step-by-step explanation:
Juan buys a bag of 12 tangerines for $3.48.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answer:
0.29
Step-by-step explanation:
12 divide by $3.48 is 0.29
At Mukilteo Elementary school The two fastest runners in the 100 yard dash had race times of 12.19 seconds and 12.38 seconds how much faster was the first runner from the second runner
can someone please help my ASAP
Domain: (-∞, ∞)
Range: (-∞,1]
Answer:
Domain = All Real Numbers
Range = y≤1
Step-by-step explanation:
Since parabolas are continuous, the domain is all real numbers. The range, or y value, is all real numbers less than or equal to 1 (y≤1), since 1 is the vertex.
Hope this helps :)
What is the parent function for f(x) = (x+7)^2?
Answer:
I think The parent function is the simplest form of the type of function given g(x)=x^2
Step-by-step explanation:
8-b; when a= 3 and b=5
I need help on this
Answer:
the last one talking about victoria has y dollars
Step-by-step explanation:
x times 12 is equal to y, so the equation is y = 12x
whats 6/2 i have the math homework and it says that.
Answer:
3
Step-by-step explanation:
2times3=6
Tell whether the value is a solution of the inequality. Pls helpp
Answer: it is most likeply a solution
Step-by-step explanation:
Answer:
No, the answer is a solution to the inequality.
Step-by-step explanation:
When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the inequality.
2x > 5; x = -4
2(-4) > 5
-8 < 5
The answer is false, because there is no solution to -8 < 5. Therefore, the value is not a solution of the inequality.
Please mark me the brainliest!?!
PLSS HELPPPP
Reggie recorded how longRandomly selected her to walk 1 mile. He recorded the data in the dot plot below. If 126 students were selected, how many students would Reggie predict would take more than 18 minutes to walk 1 mile.
Answer:
48
Step-by-step explanation:
If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.
Is this true or false? The following graph represents a proportional relationship:
True
False
Step-by-step explanation:
true I think I hope this helps !!!
Write the equation of the line passing through the point (2,-1) with a slope of -3
Help Plz
Linear equations
Answer:
- So were x is 0 that is your y-intercept.
y-intercept: 5
- For your slope it is alway Rise over Run and if your slope is negative you might go down instead of up. So for this table your slope is a zero slope because it is going directly across the graph horizontally. Think of it as a stick figure, with a positive slope they walk up the line with a negative they walk down and zero they walk strait on flat ground. so therefore there is no slope.
You always have your y-intercept in you equation
y=mx+b mx is slope and b is your y-intercept
since your line is not negative or positive and is horizontal a zero slope meaning there is like no slant or angle to your line your equation will look like this.
y=5
because there is no mx (slope) and only a y-intercept
slope: 0
y-intercept: 5
Equation: y=5
convert to radical form (3) 2/3
Answer:
The radical form of 3 2/3 is
[tex] \sqrt[3]{3 {}^{2} } [/tex]
Help please. I already got most of the problem done.
cant see the pic
Step-by-step explanation:
Answer:
[tex]y\leq \frac{x}{2}-2[/tex]
Step-by-step explanation:
When dividing/multiplying you flip the inequality sign, and the negative on the x and 2 cancel.
at what point do the graphs of 9x - 2y = 30 and x + 2y = 10 intersect
Answer:
(4,3)
Step-by-step explanation:
Mario tried to solve an equation step by step 4/3=q+1/3
4/3-1/3=q+1/3-1/3 step one
2/3=q step two
where did he make the mistake or is this correct
Answer:
Step 2
Step-by-step explanation:
Answer: step two
Step-by-step explanation:
Use Cramer's rule to find the solution to the following system of linear equations.
x-2y = -7
5x-9y=-5
Answer:
x = 53
y = 30
Step-by-step explanation:
Step(I):-
Given equations are
x -2y =-7 ...(I)
5x-9y =-5 ..(ii)
The matrix form AX = B
[tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]
The determinant
[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]
By using Cramer's Rule
Δ₁ = [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]
The determinant is Δ₁ = -9 X -7 - (10 ) = 53
x = Δ₁ / Δ
x = 53
The determinant
Δ₂ =
Δ₂ = -5 +35
y = Δ₂/Δ = 30
x - 2y = -7
5x - 9y = -5
[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]
Chris and Nick want to split an 8-scoop ice cream sundae. The
sundae costs $15.75. They each earned $6.50 for weeding the
garden for their mom. How much more money do they need to buy
this sundae?
Answer:
9.25
Step-by-step explanation:
15.75 minus 6.50 then you get 9.25
What’s the slope of the line for each of these! Hurry I at testing!
which graph represents the solution set of 2x-5<3
Answer:
(See the attachment)
Step-by-step explanation:
None
Simplify the expression using the order of operations show all your work 150- (4²+4) ÷ 2
Answer:
Step-by-step explanation:
150-20/2
Write the slope-intercept form of the equation of the line described.
Answer:
Please check the explanation.
Step-by-step explanation:
6)
Given the line
[tex]y=-\frac{1}{3}x+3[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
Thus, the slope of line = -1/3
We know that parallel lines have the same slope.
Hence, the slope of the parallel line is also m=-1/3
So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept
[tex]y=mx+b[/tex]
[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]
Switch sides
[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]
[tex]-1+b=1[/tex]
[tex]b=2[/tex]
Thus, the equation line in slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{3}x+2[/tex]
8)
Given the line
[tex]y=\frac{1}{4}x+1[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
so the slope of line = 1/4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: -4
Thus, subtituting m = -4 and (-1, 4) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]
writing the point-slope form in the slope-intercept form
[tex]y-4=-4\left(x+1\right)[/tex]
add 4 to both sides
[tex]y-4+4=-4\left(x+1\right)+4[/tex]
[tex]y=-4x[/tex]
What is the value of x in the equation 2.5 minus 0.25 x = negative 3
Answer:
-22
Step-by-step explanation:
Write 81+72 as a proudect using gcf as one of the factors
Step-by-step explanation:
Since 81 = 9² and 72 = 9 * 8,
81 + 72 = 9(9 + 8) = 9 * 17.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression 81+72 as a product using GCF as one of the factors can be written as,
81+72
= 9(9+8)
Hence, the expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
Okay so I have finals in a week on the picture above ^
How can I pass? (Asking for advice)
The Stock Market nadia is a stockbroker. Earns 14% commission each week. Last week, sold 7200$ worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011?
Answer:
Step-by-step explanation:
C=0.14×7,200=1008
Nadia made a total of $1008 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission× number of weeks in 2011
where;
Average weekly commission=$1008
number of weeks in 2011=52
replacing;
Total amount (2011)=(1008×52)=52,416
The total amount Nadia in commission in 2011=$52,416