Hello!
This is a problem about relating values of the Unit Circle.
First, we need to figure out the specific "points" of each angle measure of 30 and 60.
For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].
For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].
The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.
[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.
[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]
The sine value of a point will be the [tex]y[/tex] value of the point.
[tex]\frac{\sqrt{3}}{2}[/tex]
So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]
Now we have to find the LCD to add these together, which in this case would be 6.
[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]
Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.
Hope this helps!
A phone company offers a mobile phone plan for a monthly fee of $19.95 plus $0.05 for each minute used during the month. Which equation below BEST represents the cost, y, for one month when x minutes are used?
Answer:
y = 19.95 + .05x or y = .05x + 19.95
Step-by-step explanation:
Which expression is equivalent to −13(6x+15)−3?
less than equal to or greater than 3827
Answer:
it is less than, greater than, equal to, and less than
Step-by-step explanation:
if the numerator is greater than the denominator the fraction is greater than 1 and therefore you will have a number greater than 3827, if the numerator is less than the denominator the fraction is less than 1 and you will have a number less than 1, if the numerator and denominator are equal the fraction is equal to 1
Answer:
2. 3,827 > 8/3 3. 3,827 > 8/8 4. 3,827 > 3/5
Step-by-step explanation:
In problem 2. 8/3 as a decimal is 2.6 so that means 3,827 is greater. In problem 3. 8/8 as decimal is 1 so that means 3,827 is greater. In problem 4. 3/5 as a decimal is 0.6 so that means 3,827 is greater. i hope this helps have a good day :)
What's the surface area if the radius of a cylinder is 6 and the height is 10 in ?
Answer:
A≈603.19in²
Step-by-step explanation:
sorry if it's wrong
Answer:
603.19
Step-by-step explanation:
Which of the following statements about this is true??
Answer:
lines tx and vs are perpendicular
Answer:
I think it is the 2 one don't blame me if I am wrong
Hiroto solved the equation 6 – 4|2x – 8| = –10 for one solution. His work is shown below.
6 – 4|2x – 8| = –10
–4|2x – 8| = –16
|2x – 8| = 4
2x – 8 = 4
2x = 12
x = 6
What is the other solution?
–6
–4
2
10
Answer: x=2 (C)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
GOT IT RIGHT ON TEST!!!!!
Repeated addition: 1 3 + 1 3 + 1 3 = a b a = b =
Answer:
part 1: 6, 9
part 2: 16, -24
part 3: commutative
part 4: inverse
part 5: identity
Step-by-step explanation:
edge2020
The sum of the numbers 13 + 13 + 13 is 39.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Given expression is,
13 + 13 + 13
Here 13 is added to itself three times.
When 13 added to 13, we get 13 + 13 = 26
Again if we add the number 13 to 26, we get 13 + 26 = 39
13 + 13 + 13
= 26 + 13
= 39
This can also be written in the form of multiplication as 3 × 13, which is also equal to 39.
Hence the number 13 added to itself three times gives 39.
To learn more about Addition, click on the link given below :
https://brainly.com/question/29560851
#SPJ2
Alison has 8 pairs of pants and 12 shirts in her closet. She also has 7 pairs of shoes. How many different outfits can she wear?
The number of different outfits can she wear should be considered when there is 8 pairs of pants and 12 shirts in her closet is the 864.
Calculation of the number of different outfits:Since
Alison has 8 pairs of pants and 12 shirts in her closet. She also has 7 pairs of shoes.
So here the number of ways should be
[tex]= 8 \times 12 \times 7[/tex]
= 864
hence, The number of different outfits can she wear should be considered as the 864.
Learn more about number here: https://brainly.com/question/13784160
Answer:
672
Step-by-step explanation:
8 x 12 x 7
That's how you find the different combinations! :)
Look at pic below will give brainly (also putting a link is doing you no good and you not ever getting brainly) thank you!
Answer:
V = 1428 in
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
so:
16*8.5*10.5
Answer:
786.5
Step-by-step explanation:
16 x 10.5 = 168 x 2 = 336. 16 x 8.5 = 136 x 2 = 272. 8.5 x 10.5 = 89.25 x 2 = 178.5. 336 + 272 + 178.5 = 786.5
Joey has a beach ball with a radius of 20 cm. What volume of air will it hold when fully inflated? [Round to nearest tenth.]
A) 83.8 cm3
B) 251.4 cm3
C) 1676.2 cm3
D) 33,493.3 cm3
Pls help ASAP I DO NOT WANT TO GO TO SUMMER SCHOOL.
Answer:
Question 8: answer is D
Question 7: answer is B
You can tell which one is bigger because the one with a larger box has a bigger IQR :)
You can tell the minimum is bigger by looking at the numbers on the number line
Can any on help on 4-6 only please it would be grateful
Answer:
4. h=9in
5. 150.8[tex]m^{2}[/tex]
6. 301.6[tex]in^{2}[/tex]
Step-by-step explanation:
4.
Surface area of a rectangular prism form : A=2(wl+hl+hw)
Substitute in values from the question: 558=2[(9)(11)+h(11)+h(9)]
Multiply where applicable: 558=2[(99)+11h+9h]
Combine like terms: 558=2[(99)+20h]
Divide both sides by 2: 279=(99)+20h
*note- This step can also be seen as multiplying the right side by 2 without messing with the left at all (558=(198)+40h) then you would solve in the same fashion as I will from here just with the alternative numbering*
Subtract to isolate the h: 180=20h
Divide both sides to isolate the h: 9=h
Now we see that the missing dimension h=9in
*note- I did not bold the equations with squares so please don't be confused by that*
5.
Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]
Substitute in values from the question: A=2π(3)(5)+2π[tex]3^{2}[/tex]
Multiply were applicable: A≈94.2+56.5
Add remaining values: A≈150.8
Now we see that the total surface area is 150.8[tex]m^{2}[/tex]
*note- whenever we solve for volume or SA of a figure we square the unit ([tex]m[/tex]➞[tex]m^{2}[/tex])*
6.
Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]
Substitute in values from the question: A=2π(6)(2)+2π[tex]6^{2}[/tex]
*note- we use 6 instead of the given value 12 because the equation calls for the radius and not the diameter*
Multiply were applicable: A≈75.2+226.2
Add remaining values: A≈301.6
Now we see that the total surface area is 301.6[tex]in^{2}[/tex]
*note- whenever we solve for volume or SA of a figure we square the unit ([tex]in[/tex]➞[tex]in^{2}[/tex])*
Hope this helps :)
help help help help help help
Answer:
I'm almost 100% sure its outcomes "sorry if its wrong and id love brainliest lol"
Step-by-step explanation:
You track the temperature from the time you you eat your lunch to the time you go to bed. you find that it drops 2 decrease each other for 10 hours. which expression that shows the change in temperature?
Answer:
-2 times 10 or
-2*10
Answer:
they both are multiplucation Which means they both increse so ether the answers are wrong or the question its self is wrong.
En una tienda de antigüedades una lámpara cuesta $1956 que precios representa el 25% y el 50% del precio total
Answer:
Resultados están más abajo.
Step-by-step explanation:
Dada la siguiente información:
Costo total= $1,956
Para calculate el valor parcial, debemos usar la siguiente información:
Precio proporcional= costo total* ( 1 - porcentaje de descuento)
50%:
Precio proporcional= 1,956*(1 - 0.5)
Precio proporcional= $978
25%:
Precio proporcional= 1,956*(1 - 0.75)
Precio proporcional= $489
What is the chemical equation for NaCl?
Write an equation of the line and interpret the slope.
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
Rob's first four test scores are 80, 85, 100 and 85. What does he have to score on the last test in order to have a test average of 90?
Answer:
100
Step-by-step explanation:
85 +80+100+85+x(the unknown),/the number of numbers ie 5
350+x/5=90
350+x=90 * 5
350+x=450
x=450-350
x=100
The score on the last test in order to have a test average of 90 is 100.
Given that, Rob's first four test scores are 80, 85, 100 and 85.
We need to find the score on the last test in order to have a test average of 90.
What is an average?By definition, an average is the arithmetic mean of the sum of all the values divided by the total number of values in a given set. An average is calculated for those sets of values which are more or less the same. The term average describes the numeric value that represents a large amount of data. An average can be derived by calculating the ratio of the sum of all the values to the number of units or values.
Let the score on the last test be x.
Now, average=(80+85+100+85+x)/5 =90
⇒350+x=450
⇒x=100
Therefore, the score on the last test in order to have a test average of 90 is 100.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
#SPJ2
What is the measure of an interior angle
During the first week of a going-out-of-business sale, a store reduces all prices by 15%. The second week
of the sale, it reduces all items by an additional $4. If a calculator was bought for $47.00 during the
second week of the sale, find the original price of the calculator.
Describe the correlation between the amount spent and the number of people spending the money.
A. Negative correlation; as the amount spent increases, the number of people spendings that amount decreases
B. Negative correlation; as the amount spent increases, the number of people spending that amount increases
C. Positive correlation; as the amount spent increases, the number of people spending that amount decreases
D: Positive correlation; as the amount of spent decreases, the number of people spending that amount increases
Answer:
A. Negative correlation; as the amount spent increases, the number of people spendings that amount decreases.
It is so clear, just look at the graph and you will see exactly what im talking about
Guys pls help me!!!!!!!! (It’s not c)
Answer:
The answer is D .
Step-by-step explanation:
Hope it was helpful .
The data points are:6,3,7,4,10,3,5.what is the median
Answer: The median is 5
Step-by-step explanation:
3,3,4,5,6,7,10 the middle number is 10
Answer:
5
Step-by-step explanation:
Put the numbers in order
3, 3, 4, 5, 6, 7, 10
we have an odd amount of numbers in this data set SO we have one number in the middle which is 5.
If you hold up 7 fingers, the finger to make 3 on both sides would be the 4th.
The radius of a circle is 6 centimeters.
Enter the area of the circle, in square centimeters.
Round your answer to the nearest hundredth.
Answer:
113.04
Step-by-step explanation:
Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth. 1.
*EXTRA PTS* answer these pls :)
Answer:
3)x=7,y=-2
Step-by-step explanation:
Answer:
3, (7, -2)
4, no solution
Step-by-step explanation:
The parallelogram shown below has an area of 15 units ^ 2
WHOEVER GETS IT RIGHT GETS BRAINLIEST
Answer:
h=5
Step-by-step explanation:
3*h=15 so h=5
If a basketball player makes 9 baskets in 12 tries, what is her ratio of baskets to tries, in lowest terms?
Answer:
3:4
Step-by-step explanation:
9:12
divide both by 3 to get
3:4
Answer:
3 : 4
Step-by-step explanation:
9 : 12
divide each side by three
3 : 4
determine the period of the function
Answer:
Step-by-step explanation:
0_pie/2
I need help with this question and no link or I’ll report u
You have the letters in the word "SCIENTIST." What is the probability that you pick a vowel,do not replace it,and then pick "T"?
Answer:
1/12
Step-by-step explanation:
Total choices = 9, vowels = I, E, I = 3
Hence, P (vowel) = 3/9 = 1/3
Since you do not replace it, new total = 8 and number of Ts = 2
Hence, P (T) = 2/8 = 1/4
As these events are dependent and T is picked after vowel,
total probability = 1/3 x 1/4 = 1/12