For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc
Answer:
the answer is c
Step-by-step explanation:
cos30 = sin60
then cos30 - sin 30 = 0
c is the only choice which can satisfy in the problem
solve pls brainliest
Answer:
Step-by-step explanation:
|x|=x,if x>0
|x|=-x,if x<0
(a)
|7-9|=|-2|=-(-2)=2
(b)
|7|-9=7-9=-2
leslie weighs her marbles in a jar and the scale reads 474 grams. The empty jat weighs 439 grams. each marble weighs 5. How many marbles are in the jar
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105
Answer:
B. 17/102,27/108 do not for proportion
A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
https://brainly.com/question/20333425
Celine is making a special gelatin dessert for the Constellation Club meeting. She plans to fill
a large moon-shaped mold with 8 ounces of gelatin. She wants to use the rest of the gelatin
to fill small star-shaped molds. Each star-shaped mold holds 2 ounces, and the package of
gelatin she bought makes 48 ounces in all. How many star-shaped molds can Celine fill?
Answer:
Celine can fill 20 stars i believe
Step-by-step explanation:
(48-8)÷2=20
The number of star-shaped molds that Celine can fill will be 20.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
For the Constellation Club meeting, Celine is preparing an exclusive gelatin dessert. She intends to use 8 ounces of gelatin to fill a large moon-shaped mold. She plans to fill little star-shaped molds with the remaining gelatin. The bag of gelatin she purchased yields 48 ounces in total, with each star-shaped mold holding 2 ounces.
⇒ (48 - 8) ÷ 2
⇒ 40 / 2
⇒ 20
Then the number of star-shaped molds that Celine can fill will be 20.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Slippery Slope
Two professional downhill skiers are going to begin a race. The skiers agree that Skier 1 is
slightly faster than Skier 2 so they decide that Skier 2 will get a 5 second head start to make the
race more competitive. Skier 1 skies at an average speed of 110 feet per second and Skier 2
skies at an average speed of 100 feet per second.
Who will win the race if the course is 5000 feet long?
Answer:
It would be a tie
Step-by-step explanation:
Skeir 1 in 5000 feet would go 45 seconds.
Skier 2 in 5000 feet would go 50 seconds
If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.
there are 16 children and 24 adults what percent are children and what percent are adults
Answer:
60% adult
40% children
Reasoning:
Add the adults and children first.
Then find the ratios of the children and parent percentages.
16:40 children
24:40 adult
16/40=2/5=0.4=40% children
24/40=3/5=0.6=60% adult
Answer:
40% is children and 60% in adults
Step-by-step explanation:
so if you add the two you have 40, 100% of 40 is 40 and 50% is 20, so we know that the children percent is less than 50, if you go through you will find that 40% of 40 is 16 therefor leaving the rest (aka 60%) to be adults
57 multiplied 2794?
IXL question
How to lnow the numberof turning points in a function.
Answer:
The maximum number of turning points of a polynomial function is always one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).
solve pls brainliest
Answer:
b
Step-by-step explanation:
I Think B is the right answer
Find x
pls help this is due tmr
Answer:
x = 60 degrees
Step-by-step explanation:
AOD is 360-240 which is 120 degrees
AOB is 120-90, so 30.
Since AOC is 90 degrees, BOC is 90-AOB, so 90-30, 60 degrees
x= 60 degrees
Find x if the line through the points (6, x) and (1,-5) has a slope of 2.
Answer:
Step-by-step explanation:
Use the slope formula
m = (y2 - y1)/(x2 - x1)
y2 = x
y1 = -5
x2 = 6
x1 = 1
m = 2
Solution
2 = (x - - 5)/(6 - 1)
2 = (x + 5)/ 5 Multiply both sides of the equation by 5
5*2 = 5(x + 5)/5 Simplify
10 = x + 5 Subtract 5 from both sides
10-5 = x
x = 5
The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this stock price?
Answer:
66.8421% decrease
Step-by-step explanation:
Which expression is undefined? (-4+0) O A. OB. 0 : 11 O c. OD. –
Answer:
C
Step-by-step explanation:
Third expression asks you to basically divide by zero. That is, find a number that multiplied by 0 gives you 3, which is impossible.
Hello!
-----------------------------------------------------------------------------------------------------------------
Option C
Division by 0 is undefined.
6-6=0, and any expression that has 0 it its denominator is undefined.
I hope it helps you! (:
~SparklingFlower
-----------------------------------------------------------------------------------------------------------------
pls help asap! i will mark brainliest!
Step-by-step explanation:
that simply means that D is the middle point of AC.
and that means that both sides of D are equal long :
x + 8 = 2x - 17
25 = x
therefore
AB = x - 7 = 25 - 7 = 18
A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
what is the answer??????
Answer:
1) B. 1 1/322) A. 1.8
Solution:
2 3/4 as an improper fraction is 11/4.
2 2/3 as an improper fraction is 8/3.
11/4 ÷ 8/3
11/4 ÷ 3/8 (reciprocal method)
11/4 × 3/8 (change the operation to multiplication)
11/4 × 3/8 = 33/32 (multiply)
33/32 ⇒ 1 1/32 (simplify)
1 4/5 as an improper fraction is 9/5.
9/5 ⇒ 1.8
Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.
please answer fast
10 marks
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
-------------------------------------------
(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
How to find where inflection points are.
On a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.
Question down below, Please answer if you know :)
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
Answer:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
The LCD is (a^2 + a)(a - 2) so we have
[(a + 2) - 3(a^2 + a)] / (a^2 + a)(a - 2)
= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)
= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)
HELPPPPPPP plssssssss
Answer:
The length of FB IS D) 7 units
Austin runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Answer:
4.2 miles
Step-by-step explanation:
Speed = distance / time
Speed = 6 / 50 = 0.12 miles per minute
PS: You can change the minutes to hours if youd like and it'll be the same answer.
Since he is running at the same rate(speed)
Distance = speed * time
Distance = 0.12 miles/minute * 35 minutes = 4.2 miles
(if you changed your speed to be in miles / hour don't forget to change the 35 minutes to hours
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
__________
Answer:
y = 2x +2
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)
From the graph we see that
m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2
m=2 is the slope
b is where the line cuts the y-axis and is at 2
b=2 is the y-intercept
Substitute m and b in the general equation to find the equation of the graphed line.
y = 2x +2
I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
I will mark most brainlest whoever gets it right for me :)))
Sorry I can't help you :(