P is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ.
18. P(-3, 2)
19. P(4, -2)
20. P(0, -6)
21. P(-3, -4)
Answers
Answer:
see below
Step-by-step explanation:
When you're doing a bunch of these, it is helpful to make a table with reminders as to how they're calculated. That table is shown below.
__
In the attached, we have used ...
r² = x² +y²
√20 = 2√5
√36 = 6
√25 = 5
and 1/(2√5) = √5/10. (The division is outside the radical.)
Related Questions
what is the equation of the linear function?
Answers
Answer: [tex]y=-\frac{1}{2} x+3[/tex]
Step-by-step explanation:
use the formula y=mx+b
m = slope
b = y-intercept
slope is rice over run
rise 1 run -2 m= -1/2
y- intercept is the point where the line intercepts with the y-axis
b=3
plug into equation
[tex]y=-\frac{1}{2} x+3[/tex]
Answer:
what she said
Step-by-step explanation:
hey can anyone help me in dis!!!!!!!!!!!!!!!!!!!
Answers
Answer:
1. blue
2. blue because I measured both lines with a ruler.
3. this one was harder to decide because when I look at the picture both lines look the same length but since I measured both lines with a ruler I realized that the blue line was longer that the red line.
Step-by-step explanation:
I actually measured both lines with a ruler and the blue line is just barely bigger that the red line
A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left. Examine the steps to determine whether the student made an error. The student made .
Answers
Answer:
The student made an error in step 3
Step-by-step explanation:
Answer:
The student made an error on C. Or step 3.
Step-by-step explanation:
The median is the same thing as?
Quartile 1
Quartile 2
Quartile 3
None of the above
Other:
Answers
Answer:
The median is NOT the same thing as a quartile.
The median is a measure of center.
Solve the following
a) 2(x+3)= x-4
b) 4(5x-2)= 2(9x+3)
Answers
Please can people help??!!
Photo below
Answers
i think this is the method for solving it
If a taxi ride is m miles, which expression can be used to find the total charge of the ride
Answers
Answer:
d. 0.85m + 2.50
Step-by-step explanation:
In the figure attached, the complete question is shown.
We can see in the table that $2.50 is a fixed charge, that is, it is not modified by any variable. On the other hand, for each travelled mile, the cost of the travel increases $0.85 ($0.75 by mileage charge + $0.1 by city gas tax). Then, if m miles are travelled, the cost of the travel increases 0.85*m
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=20°, and XV = 58 feet. Find the length of VW to the nearest tenth of a foot.
Answers
Answer:
169.6
Step-by-step explanation:
We can use trig to find the missing side (sin specifically). sin(x)=opposite/hypotenuse. where x is the angle. VWX is 20 degrees. The side opposite to that angle is VX or 58. We dont know the hypotenuse. If we were to substitute values into sin(x)=opposite/hypotenuse, we would get sin(20)=58/hypotenuse. sin(20) in the calculator is 0.342020143... so we can rewrite the equation as 0.342020143=58/hypotenuse. Lets call the hypotenuse h. If we multiply h on both sides, we can try to find what h is equal to. 0.342020143h=58. Now we can divide 0.342020143 on both sides to isolate h. h=169.58... or if we round it, we get 169.6
laura goes shopping she spends one fourth of her money on a pair of shorts and one third of her remaining money on a belt if laura has $42 dollars left after these two purchases how much money did she have when she started shopping?
Answers
Answer:
84 dollars
Step-by-step explanation:
use x to represent the amount of money Laura had when she started shopping.
use y to represent the amount of money she had left after buying a pair of shorts.
You can create these two equations:
3/4x=y
2/3x=42
now, subsitute the value of y into the second equation.
2/3(3/4x)=42
1/2x=42
x=84
The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person
Answers
Answer:
344.2m/s
Step-by-step explanation:
The parameters given are:
Distance=895meter
Time=2.6seconds
Therefore the speed of sound is:
Speed of sound= distance/time taken
= 895/2.6
=344.23
=344.2m/s ( to the nearest tenth)
Answer:
d 344.2 meters per second
Step-by-step explanation:
edge 2021
The number of customers rose from 118 on monday to 205 on tuesday. What is the percent increase to the nearest tenth of a percent
Answers
Answer:8
Step-by-step explanation:$4
Rosie needs to buy balloons and tablecloths for her party. Each balloon costs $1.50 and each tablecloth costs $2.25. She cannot spend more than $30.00 on balloons and tablecloths for the
party. Write an inequality to represent the possible number the balloons and tablecloths that Rosie can buy. Let'x' represent balloons and and represent the tablecloths
Answers
Answer:
1.50x + 2.25y ≤ 30
Step-by-step explanation:
Hi, let’s say that 'y' represent the tablecloths.
So, we have to write an inequality:
The product of the number of balloons (x) and the cost of each one (1.50) plus the product of the number of tablecloths (y) and the cost of each tablecloth (2.25) must be less or equal to Rosie's budget (30)
Mathematically speaking:
1.50x + 2.25y ≤ 30
Feel free to ask for more if needed or if you did not understand something
Answer: The inequality can be written as 1.5x + 2.25y ≤ 30
Step-by-step explanation: What Rosie needs is an expression that shows the highest she can spend on tablecloths and balloons. If the question states that she cannot spend more than 30 dollars, then it simply means she can either spend a maximum of 30 dollars, OR any amount below 30 dollars. So what she needs is an inequality that shows her spending as being less than or equal to 30.
Let the balloons be represented by letter x and the tablecloths be represented by the letter y. If each balloons cost 1.50 dollars, then the total cost of balloons equals 1.5 times x or simply 1.5x. Likewise, if each tablecloth cost 2.25, then the total cost of tablecloths shall be 2.25y.
The possible number of balloons and tablecloths that she can buy based on the conditions given can be expressed as follows;
1.5x + 2.25y ≤ 30
The results of the woodlands middle school poll show that 20% of the students prefer to got o the aquarium and 50% of the teachers prefer to the aquarium
Answers
Answer: C. There is evidence that teachers at Woodlands Middle may prefer the aquarium more than students.
Step-by-step explanation:
The results of the poll showed that 50% of teachers preferred to go to the aquarium whilst only 20% of students prefer to go to the aquarium.
With 5 in every 10 teachers preferring to go to the aquarium and only 2 in every 10 students preferring the aquarium that is clear evidence that there are is a higher proportion of teachers wanting the aquarium than the students. This shows therefore that relatively speaking, teachers prefer the Aquarium more than students do.
The Answer is C. There is evidence that teachers at Woodlands Middle may prefer the aquarium more than students.
Step-by-step explanation:
I just did it
1. The speed of a motorcycle increases from 10 km/hr to 50 km/hr in 9
seconds. What is its acceleration?*
Answers
Answer:
The acceleration is 4.4 km/sec/sec
Step-by-step explanation:
Acceleration of motorcycle is 4.44 km/sec²
Given that;Starting velocity = 10 km/hr
Final velocity = 50 km/hr
Time taken = 9 second
Find:Acceleration of motorcycle
Computation:Acceleration of motorcycle = [Final velocity - Initial velocity] / Time taken
Acceleration of motorcycle = [50 - 10] / 9
Acceleration of motorcycle = [40] / 9
Acceleration of motorcycle = 4.44 km/sec²
Learn more:https://brainly.com/question/12550364?referrer=searchResults
Martin dennis brought a wide screen television for $1720. He made a down payment of 15% and paid the balance over 18 months. The fiance charge was 4% of the amount financed. Find the down payment and the installment price of the televison and the monthly payment
Answers
Answer:
Down payment is $258
Installment price is $1766.22
monthly payment is $83.79
Step-by-step explanation:
Down payment is 15% of $1,720 which is $258 (15%*$1720)
Monthly payment can be computed using pmt formula in excel
=pmt(rate,nper,-pv,fv)
rate is the interest rate per month which 4%/12=0.33%
nper is the number of months of payments that is 18
pv is the finance amount which is the price minus down payment i.e $1462 *($1720-$258)
fv is the total finance amount plus interest which is unknown i.e 0
=pmt(0.33%,18,-1462,0)=$ 83.79
installment price =down payment +total repayment
=$258+($83.79*18)=$1766.22
Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?
Answers
Answer:
Check the explanation
Step-by-step explanation:
1 centimetre is = 0.01 meter
therefore the scale in Brennan drawing is 1 centimetre is used to represent 7 metres
Answer:
1 cm:7 meters
Step-by-step explanation:
The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:
21 cm:147 meters
As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:
1 cm:7 meters
For a field trip 27 students rode in cars and the rest filled three buses. How many students were in each bus if 147 students were on the trip?
Answers
Answer:
40 students per bus
Step-by-step explanation:
147 (Og #)-27(Number riding cars, irrelevant)=120
120/3 (# of buses)= 40 students per bus
Answer:
40 students
Step-by-step explanation:
First, let’s find how many students rode the buses.
There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.
The difference between 147 and 27 will be how many took buses.
Subtract 27 from 147
147-27=120
120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.
120/3=40
Therefore, 40 students were on each bus.
Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answers
Answer:
1000/10x12= answer
Step-by-step explanation:
Part A:
Divide the number of lightning strikes to the number of seconds to find the average rate.
1000 / 10 = 100 strikes per second
Now, multiply by 12 to find the number of strikes that occurred.
100 * 12 = 1200 strikes in 12 seconds
Part B:
Divide the number of seconds to the number of lightning strikes to find the average rate.
10 / 1000 = 0.1 seconds per strike
Now, multiply by 7250 to find the number of seconds that passed.
0.1 * 7250 = 72.5 seconds in 7250 strikes
Best of Luck!
Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?
35 inches
47 inches
50 inches
43 inches
will mark brainliest
Answers
Answer:
43, it raises by 4 each time. good luck!
Step-by-step explanation:
Find the area
Please help me thank you!
Answers
Misaki’s fish tank is half full of water because she is cleaning it. The tank is a right rectangular prism with a length of 8 inches, a width of 6 inches, and a height of 6 inches.
A prism has a length of 8 inches, width of 6 inches, and height of 6 inches.
What is the volume of water in the tank while Misaki is cleaning it?
O 10 Inches cubed
O 36 Inches cubed
O 144 Inches cubed
O 288 Inches cubed
Answers
Answer:
144 Inches cubed
Step-by-step explanation:
8 × 6 × 6 = 288.
288 / 2 = 144.
you multiply to get the original volume then divide by 2 because the tank is only half full.
Answer:
d
Step-by-step explanation:
i said
what is 64 (y7)7 2y3 mark branliest if right
Answers
Answer:
65
Step-by-step explanation:
hope this helps
Answer:
32256y^4
Step-by-step explanation:
set f(y)=x and solve for y
Answers
Answer:
f = 1
y = 0
Solved for y
Step-by-step explanation:
Step 1 :
Pulling out like terms/ factors.
Step 2 :
Theory - Roots of a product .
Step 3 solving a Single Variable Equation.
Answers:
f = 1
y = 0
Hope this helps.
in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball
Answers
Answer:
3/26 students or 11%
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
24/27 = 8/9
What is the slope of the line ?
Answers
Answer:
-3
Step-by-step explanation:
Circle M is shown below. AB is tangent to the circle at point A. The radius of a circle M is 15. JB = 10. DF = 18. AC = 10.
Answers
Answer:
e
Step-by-step explanation:
Find the height of a prism with volume 720cm3 and base area 45cm2
Answers
Answer:
The height is 16 cm
Step-by-step explanation:
It's just v/b
720/45=16
The height is 16 cm
Select The decimal that is equivalent to 7/8
Answers
Answer:
0.875
Step-by-step explanation:
look at the fraction as a division problem
8÷7
You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?
Answers
Answer:
⅞ pound
Step-by-step explanation:
You received 1/4 pound of candy from your grandmother.
You received 1/2 pound of candy from your sister.
You received 1/8 pound of candy from your best friend.
The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.
The total amount of candy is therefore:
¼ + ½ + ⅛ = ⅞ pound
You received ⅞ pound of candy in total.
The Waves swim team has a ratio of 14 boy: 12 girls. If there are 39 athletes,How many girls are there?
If 7 more boys join the Waves team, how many girls should be added to the team to maintain the same ratio of boys and girls.
Answers
Answer:
1. 18 girls
2. 5 girls will be added to maintain the same ratio of boys and girls
Step-by-step explanation:
1. Boys : Girls = 14 : 12
14 + 12 = 26, 39/26 = 1.5
Boys: 14 x 1.5 = 21
Girls: 12 x 1.5 = 18
21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.
2. Boys : Girls = 14 : 12
14 : 12
7 : ?
14 - 7 = 12 - ?
7 = 12 - ?
12 - 7
= 5
If there is any wrong, Please correct me or reply to me!
