Answer:
a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
Step-by-step explanation:
sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.
What is the trigonometric ratio of unit circle?
Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
Read more about Unit circle at; https://brainly.com/question/4637991
Pekka tosses a ball out of a window that is 40 feet in the air. Its initial velocity is 15
feet per second. The path of the ball is represented by
h = -16t2 + 15t + 40
How long does it take for the ball to hit the ground (in seconds) rounded to the
nearest hundredth?
Answer:
2.12 seconds
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 15t + 40[/tex]
Required
Determine how long the ball hits the ground
When the ball hits the ground means that [tex]h(t) = 0[/tex]
So, we have that:
[tex]h(t) = -16t^2 + 15t + 40[/tex] becomes
[tex]0 = -16t^2 + 15t + 40[/tex]
Reorder
[tex]-16t^2 + 15t + 40 = 0[/tex]
Multiply through by -1
[tex]16t^2 - 15t - 40 = 0[/tex]
Solve using quadratic:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16[/tex] [tex]b = -15[/tex] [tex]c = -40[/tex]
So, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex] becomes
[tex]t = \frac{-(-15)\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{225 +2560}}{32}[/tex]
[tex]t = \frac{15\±\sqrt{2785}}{32}[/tex]
[tex]t = \frac{15\±52.77}{32}[/tex]
Split:
[tex]t = \frac{15+52.77}{32}[/tex] or [tex]t = \frac{15-52.77}{32}[/tex]
[tex]t = \frac{67.77}{32}[/tex] or [tex]t = \frac{-37.77}{32}[/tex]
[tex]t = 2.12[/tex] or [tex]t = -1.18[/tex]
But time can't be negative
So:
[tex]t = 2.12[/tex]
Hence, time to hit the ground is 2.12 seconds
Kyle missed 3 questions on the math exam. If he missed 15% of the questions, how many questions were on the exam all together?
Answer:
There were 20 questions on the test.
Hope this helps!
What are the x-intercepts of the function y = x2 - X - 6?
Answer:(3,0) , (-2,0)
Step-by-step explanation:To find the x-intercept, substitute in 0 for y and solve for x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = {x}^{2} - x - 6 [/tex]
[tex]f(x) = (x - 3)(x + 2)[/tex]
[tex]0 = (x - 3)(x + 2)[/tex]
_________________________________
Hint :
[tex]a \times b = 0[/tex]
[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]
_________________________________
Thus ;
[tex] x - 3 = 0[/tex]
Add sides 3
[tex]x - 3 + 3 = 0 + 3[/tex]
[tex]x = 3[/tex]
Or
[tex]x + 2 = 0[/tex]
Subtract sides 2
[tex]x + 2 - 2 = 0 - 2[/tex]
[tex]x = - 2[/tex]
Thus the x-intercepts are (( - 2 )) and (( 3 )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Jackson spent 75% of his money to buy a new MP3 player. The MP3 player costs $90. How much money did Jackson have?
WILL RECIEVE ANYTHING
Answer:
wfek
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 times 0.75 =90
Kevin is choosing between two cell phone plans that offer the same amount of free minutes. AT&T’s plan charges $19.99 per month with additional minutes costing $0.35. Verizon’s plan costs $34.99 with additional minutes at $0.30. How many additional minutes, a, will it take for the two plans to cost the same? *
Answer:
300 minutesStep-by-step explanation:
Step one:
Given data
AT&T’s plan
monthly charge= $19.99
additional charge per minute= $0.35
let the number of minutes be x
let the total charges be
y=0.35x+19.99----------1
Verizon’s plan
monthly charge= $34.99
additional charge per minute= $0.3
let the number of minutes be x
let the total charges be
y=0.3x+34.99----------2
Step two:
equating the two equations above we have
0.35x+19.99=0.3x+34.99
collect like terms
0.35x-0.3x=34.99-19.99
0.05x=15
divide both sides by 0.05
x=15/0.05
x=300
For the two plans to cost the same, it will take 300 minutes
Answer:
300 Minutes
Step-by-step explanation:
You go to the carnival, and how much you spend can be written as .50r + 15, where r = rides. What can the 15 mean?? What does the 50 mean??
Answer:
50 son las veses que me pasie, y el 15 son otras actividades que realice
Step-by-step explanation:
La r en ese lugar esta multiplicando al 50
Answer:
.50 means cost per ride and 15 ticket cost
Step-by-step explanation:
say there are 4 ride you want to go on, lets substitute r, rides, with 4
.50(4) + 15
.50 times 4 is 2
so now we have 2 + 15
2 + 15 = 17
so you have spent $17 at the carnival.
In a Normal model, what percent of data is between -1 and +1 standard deviations of the mean?
Answer:
It's 99. 7% 95% and 68% for std dev respectively
Give brainliest thanks
Sydney owns a small business selling used books. She knows that in the last week 125 customers paid cash, 5 customers used a debit card, and 9 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than cash as a decimal to the nearest hundredth.
Answer:
0.10
Step-by-step explanation:
can someone please help me with this :( asap
b
こんにちは
mmmmmmmmnnnnnnnnnnnnnnnnnnnnnnn
If necessary, use / for the fraction bar. Please reduce to simplest terms
What ratio value is shown by the following double number line? Use / for the fraction bar and do not use spaces.
Answer:
the answer is probably 3/5 since its the starting one so it will be how t started
Step-by-step explanation:
Answer:3:5
Step-by-step explanation:well when you divide 6/10 it equals 3/5.when you divide 9/15 it equals 3/5 and so on.
write an equation in slope-intercept form for the line with the given slope, passing through the given point. slope=3, (3,2)
a. y=3x-7
b. y=2x-7
c. 3x-3
d. y=2x-3
Answer:
the answer is D because i asked SIRI and BIXBI and they both said the same answers
Step-by-step explanation:
The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach the coach buys. The situation is represented by the function rule a=16b.
Complete the following table of values.
Consider the line y = 2x–4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Parallel slope = 2
This is because the original line has slope 2. Parallel lines have equal slopes.
--------------------------
Perpendicular slope = -1/2
The original slope 2 or 2/1 turns into -1/2 after flipping the fraction and the sign. Note the original slope and perpendicular slope multiply to -1. This is true for any pair of perpendicular lines where neither line is vertical.
Answer:
the slope of the parallel line is 2x
the slope of line perpendicular is -1/2
Step-by-step explanation:
Plz plz help help help plz plz help plz
Answer:
since your adding to hours each time youll have 11, then the answer would be d the last one :)
Step-by-step explanation:
Answer:25.50 an hour
Step-by-step explanation:
-4x+5y-x-9y....guys need help
Answer:
-5x-4y
Step-by-step explanation:
Combine like terms:
-4x-x+5y-9y rearrange
-5x-4y.
Hope this helps :D
Need help will mark brainliest
Answer:
Step-by-step explanation:
a. RG=36 since RG=2(RT)
b.
4x+12=10x-15 Since RG and HI are equivalent
12=6x-15 Subtract 4x from both sides
27=6x Add 15 to both sides
4.5=x Divide by 6 on both sides
to double check:
4(4.5)+12=30
10(4.5)-15= 30
so x=4.5
Triangles ABC and DEF are similar. Find e.
A.) 11
B.) 12
C.) 10
D.) 9
Please help! 30 points!
Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.
Answer:
(6*3+5+2)*4/1 or (6*3+4-2)*5/1
Step-by-step explanation:
Have a great day :)
Answer:
((6 x 3 + 4/2) x 5 ) / 1
I need help I dont wear to start
Answer:
Yes! it is there are straight across from each other and will never touch Hope I helped!
What is a possible solution set to x + 7 ≤ -9 ?
Answer:
Step-by-step explanation:
x + 7 ≤ -9 subtract 7 from both sides
x≤-16 this is your answer
If you're plotting it will be (-∞,-16]
Answer:
Step-by-step explanation:
For this equation, all it is asking is to replace the unknown value with a number that completes the equation. However, the number must make the equation valid. Here is a few examples that could be a valid solution to this problem:
1. -55 + 7 < -9
(you don't need to solve this equation to tell that it's less than negative nine.)
2. 22 + (-98) + 7 < -9
(this is more complicated, but you can still tell that the sum is less than negative nine.)
So, basicly all that you have to do is replace the missing value with a number that gives the eqquation a sum less than negative nine. Hope this helped!!! :)
Investors buy a studio apartment for $180,000. Of this amount, they have a down payment of $36,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $72,000 down payment be?
Their down payment is *blank*% of the purchase price.
Answer:
36,000 would be 20 percent. 72,000 would be 40 percent.
Step-by-step explanation:
You just divide 36,000 by 180,000
Please give a step by step explanation with the reasons. Thank you.
Answer:
Because angle 5 and angle 6 equal each other, it would mean that 4 and 7 equal each other. The sum of angles 4 and 5 is 180 because they are on the same line, intersected by another line. This means that they are supplementary angles. Since angles 5 and 6 equal each other, the other part of the the supplementary angle on both sides must equal each other. For example, if angles 5 and 6 equaled 60 degrees, the counterparts on the supplementary angle on both sides would have to be 120 to get to final sum of 180. This shows how angle 4 and 7 have to equal each other if 5 and 6 also equal other. Hope this helped! If its still confusing leave a comment and ill explain it in a different way. Good luck!
are these equal or not equal?
a. 18/36 _____ 1/2
b. 13/15 _____ 7/10
c. 3/5 _____ 5/9
d. 3/8 _____ 10/16
Answer:
a. is equal.
Step-by-step explanation:
18+18 is 36 and 1+1 is 2. the other questions are not equal.
Hope this helps!
Answer
18/36 = 1/2
13/5 > 7/10
3/5 > 5/9
3/8 < 10/16
Write and solve an inequality to represent the situation below.
When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?
What integer represents a gain of 2 pounds?
Answer:
+2
Step-by-step explanation:
what is the slope of the line that passes through the points (2,-3) and (-2,5)
Answer:
-2
Step-by-step explanation:
m = 5-(-3) / -2-2
m = 5+3/-4
m = 8/-4
m = 2/-1
m = -2
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done
rob bought 15 concert tickets worth $322.50. Floor tickets cost $25 each while balcony tickets cost $17.50 each. How many tickets of each type did rob bye?
Answer:
8 floor tickets and 7 balcony tickets.
Step-by-step explanation:
f+b=15
25f+17.50b=322.50
Answer:
8 floor tickets, 7 balcony tickets
Step-by-step explanation:
F + B = 15
25F + 17.50B = 322.50
What is the solution to the equation 3(2x+5) = 3x+4x?
O X=0
O X=4
Ox=5
OX= 15
Answer ASAP will give brainliest to first answer!! (If you didn’t know I half to have 2 people answer before giving brainliest!)
Write and evaluate the expression. Then, complete the
statements.
Miguel gave away five of the puppies.
Evaluate when p = 7.
Answer:
Step-by-step explanation:
Answer:First, write the expression
✔ p – 5
.
Second,
✔ substitute
7 in for the variable, p.
Third,
✔ simplify
by
✔ subtracting
7 and 5.
The answer is
✔ 2
Step-by-step explanation: