Answers
Answer:
[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]
[tex]\tan(60) = \sqrt 3[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find [tex]\tan(30)[/tex] and [tex]\tan(60)[/tex]
The tangent of an angle is calculated as:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
So, we have:
[tex]\tan(30) = \frac{b}{a}[/tex]
This gives:
[tex]\tan(30) = \frac{3}{3\sqrt 3}[/tex]
3 cancels out
[tex]\tan(30) = \frac{1}{\sqrt 3}[/tex]
Rationalize
[tex]\tan(30) = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]
Similarly;
[tex]\tan(60) = \frac{a}{b}[/tex]
This gives:
[tex]\tan(60) = \frac{3\sqrt 3}{3}[/tex]
3 cancels out
[tex]\tan(60) = \sqrt 3[/tex]
Related Questions
In scientific notation
Answers
Answer:
2*10^4
I can't see the question..
[tex]4*10^6[/tex] = 4000000
[tex]2*10^2[/tex] = 200
4000000/200 = 20000
20000 = [tex]2*10^4[/tex]
Step-by-step explanation:
I hope this helps!
Have a nice day!
and can I maybe have brainliest? Thanks!
CAN SOMEONE PLS DO TBJS U HAVE TO SHOW WORK BUT ITS EASG AND DOESNT NEED TO BE PERFECTT
Answers
Answer:
area? is that what u need? or perimeter
Step-by-step explanation:
Would greatly appreciate the help
Answers
Answer:
B
Step-by-step explanation:
1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal
8x/2 = 24, what value for x makes this equation true?
Answers
Answer:
x=6
Step-by-step explanation:
8x/2= 24
8x = 24× 2
8x= 48
8x÷8 = 48÷8
x= 6
Answer:
6
Step-by-step explanation:
multiply both sides by 2/8 to isolate x.
8/2x=24
2/8(8/2)x=2/8(24)
x=48/8
x=6
Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m
Answers
9514 1404 393
Answer:
25 pounds cashews15 pounds peanutsStep-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
Please help! Due today
Answers
Answer:
-4 5/12
Step-by-step explanation:
PLEASE ANSWER ASAP TIMED! A candle shop owner collected data on customers favorite scents as shown in the table. A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same what is the value of the missing probabilities? Inside the chart lavender 0.31 vanilla 0.18 cinnamon 0.23 floral? Coconut? The answer choices are 0.10 0.14 0.20 0.28
Answers
Answer: .14
Step-by-step explanation: 2020 edg
Answer:
.14
Step-by-step explanation:
I just took the test
Given the coordinates for the function below, who of the following are coordinates for its inverse?
Answers
Answer:
If we have a function f(x) that has an inverse g(x), we have the relations:
f( g(x)) = x
g( f(x)) = x
Then if the coordinates for the function f(x) are points like (x₁, y₁)
The coordinates for the inverse, g(x), will be (y₁, x₁)
Now let's look at the table, here we can see that the coordinates for f(x) are:
(0, 650)
(100, 550)
(200, 450)
(340, 310)
(650, 0)
Then the coordinates of the inverse function will be:
(650, 0)
(550, 100)
(450, 200)
(340, 310)
(0, 650)
pls help its due soon
Answers
Explanation:
The image is flipped over the x axis and also bigger which means x,y were multiples making it a dilation.
A large school district claims that 80% of the children are from low-income families. 150 children from the district are chosen to participate in a community project. Of the 150 only 70% are from low-income families. The children were supposed to be randomly selected. Do you think they really were
Answers
Incomplete question. However, I answered from a general research perspective.
Explanation:
Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.
A randomly selected sample could be done as either:
Simple Random Sampling Stratified Random Sampling Cluster Random Sampling.Systematic Random Sampling.Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:
[tex]H_0: p = 0.8[/tex]
At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.
[tex]H_1: p < 0.8[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.8, n = 150, \overline{p} = 0.7[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}[/tex]
[tex]z = -3.06[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
A similar problem is given at https://brainly.com/question/24166849
Calculate the Volume
Pls help
Answers
Answer:
420
Step-by-step explanation:
Multiply length, times width, times height to get your answer.
7 times 12 times 5=420
What is the answer to this problem?
Answers
Answer:
0.5 if rounded to the nearest tenth
Step-by-step explanation:
from
The data represented by the following stem-and-leaf plot range
to
2578
324
4129
503
Answers
HELP IS STUDY ISLAND I NEED THIS NOW
Answers
Answer:
i think A. 6 in
Step-by-step explanation:
because the lenght is diagram 3
Please help!!!!!!!!!!
Answers
use the graph of the function f shown to determine f(-3)
Answers
I need help with this please graphing is too complicated. If anyone can help I would be very happ.
What would y be if x was equal to 410 billion?
Answers
Answer:
it would be any number because variables don't mean a certain,number
Raj rides his bike for 3.4 miles. What is the length of Raj's bike ride in feet? Enter your answer in the box.
Answers
Answer:
Hey there!
I belive the answer is 17952 ft
which if you multiply 3.4 miles x 5280 is equal to 17952 ft.
Hope this can help! Please correct me if im wrong!
18 times 200 is how much
dont actually answer i just wanna talk
Answers
18 time 200 is 3600 that's it
Answer:
hey lily its Josh i just wanted to say im sorry for not talking to yu but i do still love and miss yu nd be careful ok and we need to catch up whenever ur free
Step-by-step explanation:
Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answers
Answer:
10,635.934 m^2
Step-by-step explanation:
The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)
According to the word problem, 58.2 is the radius.
Now that we know the radius, we have our final equation:
pi ⋅ radius ⋅ radius
(3.14 IS USED FOR PI)
3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336
10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934
Therefore, the area of this circle in square meters is 10,635.934 m^2.
(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answers
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
Grace and her friends just dined at a restaurant and left a tip of
$16.93, which was equal to exactly 22% of the total bill. What
was the total bill in dollars? Round your answer to two decimal
places.
Answers
Answer:
$76.95
Step-by-step explanation:
If you reverse it the equation is 16.93 divided by .22 and you get the total which is 76.95
You can check your answer by doing 76.95 times .22 and get the tip which is 16.93
PLEASE MARK ME BRAINLIEST
Triangles JKL and PQR are congruent, where I corresponds to P, and K corresponds to Q.
The measure of angle J is 20°, the measure of angle K is 15°, and the measure of angle L is 145º.
What is the measure of angle P?
15°
20°
35°
145°
PLEASE HELPPPP
Answers
Answer:
20°
Step-by-step explanation:
Congruent Triangles:
If two triangles are congruent, their angles have the same measure.
Angle P corresponds to Angle J
Angle J measures 20º, so angle P will also measure 20º
Find the value of x :)
Answers
Answer:
x = 20
Step-by-step explanation:
→ Remember how many degrees are on a straight line
180°
→ Set up an equation
2x + 70 + 3x + 10 = 180
→ Simplify
5x + 80 = 180
→ Minus 80 from both sides
5x = 100
→ Divide both sides by 5
x = 20
Answer:
x=20
Step-by-step explanation:
Those add up to 180 degrees because a straight line is 180 degrees
Equation
2x + 70 + 3x + 10 = 180
Add liked terms
2x+3x=5x
5x+80=180
5x+80-80=180-80
Divide both sides by 5
5x=100
x=20
hope this helps and good luck! <3
yvonne is 3 years younger than her sister.the sum of thier ages is 25 years.
Answers
Answer:
mk?
Step-by-step explanation:
Guessing you need to know how old each girl is. Yvonne is 11, her sister is 14.
s = sister
y = Yvonne
Yvonne is 3 years younger than her sister
y = s - 3
s + y = 25
So we’ll substitute the first equation into the second:
s + (s - 3) = 25 and solve for a numerical value for s
2s - 3 = 25
Add 3 to both sides:
2s = 28
s = 14
Yvonne is 3 years younger, so she is 11.
PLZ ANSWER I WILL MARK BRAINLIEST
Answers
Step-by-step explanation:
There is a difference between the numbers that is 6
So...
y=6x+5
Answer:
6x+5
Step-by-step explanation:
1 x 6=6+5=11
table below shows the number of miles run each day of the week. Which list shows the number of miles
run in order from least to greatest?
Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday
Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday
Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday
Tuesday, Monday, Wednesday, Thursday
Answers
Answer:
monday wednesday tuesday thursday
Step-by-step explanation:
edge 2020
Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
What is Fraction?A fraction represents a part of a whole.
Monday = [tex]3\frac{1}{3}[/tex]
Convert mixed fraction to improper 10/3
Decimal value 3.33
Tuesday = [tex]3\frac{2}{5}[/tex]
The improper fraction is 17/5
Decimal value 3.4
Wednesday = [tex]3\frac{3}{8}[/tex]
The improper fraction is 27/8
Decimal 3.375
Thursday = [tex]3\frac{1}{2}[/tex]
The improper fraction is 7/2 which is 3.5
Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit
Answers
Answer:
B) -35
Step-by-step explanation:
Christine's age is 6 more than Ken's age. Three times Ken's age plus 5 times
Christine's Age is equal to 46. How old is Christine?
Answers
Answer:
6x3+5=23
Step-by-step explanation:
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius ?
Answers
Step-by-step explanation:
Cone Volume = 1/3 ×( π r² h) h = 2 × diameter = 2 × 2 × r
Cone Volume = 1/3 ×( π r² h) h = 2 × diameter diameter = 2r
= 2 × (2 × r)
= 4r
Cone Volume = 1/3 ×( π r² 4r)
= (4 π r³ / 3)
