Answer:
Terminal point: (√3/2, 1/2); tan θ = √3/3
Step-by-step explanation:
The terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
θ = π/6
Taking tan on both sides:
tanθ = tanπ/6 = 1/√3 = √3/3
Terminal points:
= (cosπ/6, sinπ/6)
= (√3/2, 1/2)
Thus, the terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
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the local market is selling a pound of bananas for $0.55. if you bought 8 bananas for $1.44, what is the unit rate?
Answer:
$0.18
Step-by-step explanation:
Given that :
Number of bananas purchased = 8
Cost at which the 8 bananas were purchased = $1.44
The unit price of bananas can be obtained using the relation :
Total Cost of bananas / number of bananas
Unit price = $1.44 / 8
Unit price = $0.18
Price per unit of banana = $0.18
does anyone know the answer?
Answer:
A. g(x) = 42 - 0.6x
Step-by-step explanation:
Lin opened a lemonade stand during the summer. She
noticed that she sold more lemonade on warmer days.
For each day she sold lemonade, she plotted the point
(t,c), where t represents high temperature and c
represents cups of lemonade sold.
b. A computer program found that the line c= 2t - 89
is a good fit for the data. Use this equation to predict
how many cups of lemonade Lin might sell on a day
when the high temperature is 74 degrees.
c. the high temp this Sunday is expected to be 5 degrees warmer that the high temp this Saturday. using the line c = 2t - 89 how many more cups of lemonade should lin expect to sell on Sunday than Saturday? explain or show your reasoning
Answer:
59 cups ;
10 cups
Step-by-step explanation:
Given that he fitted model :
c = 2t - 89
Where, c = cups of lemonade sold ; t = high temperature
On a day when high temperature is 74 degrees ; cups of lemonade sold
Hence,
c = 2t - 89
c = 2(74) - 89
c = 148 - 89
c = 59 cups
Sunday is expected to be 5 degree warmer than on Saturday :
The number of cups sold on Sunday using the fitted model should be :
Difference in temperature between Saturday and Sunday multiplied by the slope value
Slope value from the model = 2
Temperature difference = 5
Difference in Number of cups :
2 * 5 = 10 cups
Number of lemonade sold on Sunday will be 10 cups more than that sold on Saturday
Answer: 59 cups
Step-by-step explanation:
its 59 cause yea
Which expression is equivalent to 36a-12b?
3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)
Answer:
6(6a-2b)
Step-by-step explanation:
Answer:
6(6a-2b)
Step-by-step explanation:
if you multiply the 6 by what's in parenthesis you get 36a-12b
Is the ordered pair (-5, 4 a solution of
the system of linear equations whose
graph is shown? Explain your reasoning.
Answer:
No
Step-by-step explanation:
No, (-5, -4) is not a solution to the system of equations. In order for a point to be a solution to a system of equations, the lines have to intersect at that point in a graph. Looking at the given graph, the lines do not intersect at (-5, -4), but at (-4, -5) instead. Thus, (-5, -4) is not a solution.
Three side lengths of a right triangle are given. Does it matter where you substitute the lengths in the Pythagorean Theorem? Explain.
B
✓97
B
4
6°
A
9
С
Select all true statements:
A) sin (©) = Vo
| B) tan (8) = 3
| C) tan (8) =
D) cos(B) = to
E) 42 +92 = 97
Answer:
I need help with the answer as well
Step-by-step explanation:
I will mark as brainliest. Thank you!
Answer:
2
24
5
4
Step-by-step explanation:
The given recipe makes 8 bags.
To make 16 bags, Lily needs twice as many ingredients because 8 + 8 = 16.
Since 1 cup of raisins makes 8 bags, 2 cups of raisins will make 16 bags.
To show the mathematical way:
Variable w = number of cups of raisins
1/8 = w/16
Cross multiply
1 × 16 = 8 × w
16 = 8w
2 = w
2 cups of pretzels makes 8 bags so 6 cups of preztels will make how many bags?
Set up an equation:
Variable x = number of bags
2/8 = 6/x
Cross multiply
2 × x = 8 × 6
2x = 48
x = 24
6 cups of pretzels will make 24 bags.
If 0.5 cup of pecans = 2.5 cups of crackers, then 1 cup of pecans = y cups of crackers?
Variable y = number of cups of crackers
Set up equation:
0.5/2.5 = 1/y
Cross multiply
0.5 × y = 2.5 × 1
0.5y = 2.5
y = 5
1 cup of pecans will need 5 cups of crackers
2 cups of pretzels = 8 bags, so 1 cup of preztels = z bags?
Variable z = number of bags
Set up equation:
2/8 = 1/z
Cross multiply
2 × z = 8 × 1
2z = 8
z = 4
find the value of x please
Answer:
it should be 47 because of (3x-4)
Step-by-step explanation:
Please help, I'm having a hard time with this ;-;
Answer:
A
Step-by-step explanation:
3 times steep means slope is 3 times
slope=4
new slope =3×4=12
translated 7 down means y intercept-7=1-7=-6
so new eq. is y=12x-6
Answer:
A
Step-by-step explanation:
So we know that the slope is 4, and we want to make it 3 times as steep, so that would be 12. The y-intercept is one and we want to move it down 7 units, 6-7= -1. So our final answer would be y= 12x-6!
Below is the graph of the equation y=|x+2|-1. Use this graph to find all values of x such that
y>0
y<0
y=0
Please Help I will award the brainiest
Answer:
y>0, -3>x> -1
y<0, -3<x<-1
y = 0, x = -3 and x = -1
Step-by-step explanation:
Answer:
Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.
Have a good day!
10 m =_____ mm hurry pls .
Answer:
10,000 mm
Hope that helps!
Step-by-step explanation:
Answer:
10000 mm
Step-by-step explanation:
1m = 1000mm
10 x 1000 = 10000mm
Which is NOT a solution to the inequality below? 3x + 13≥ -8
x≥−7. hope this helps you good luck
Please answer!
No links. No links to pictures, no fake answers. Please don’t make my day worse than what it is. Please answer correctly thank you!!!
Answer:
I would go with option 4
Step-by-step explanation:
Answer:
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
[tex]\frac{x}{sin25} = \frac{32}{sin90}[/tex]
[tex]x = \frac{32sin25}{sin90}[/tex]
[tex]x = 13.5[/tex]
Hope this helps! Have a great day... please mark as brainliest :0 :))
Step-by-step explanation:
someone smart pls help
Answer:
5
Step-by-step explanation:
-2^2=-4
3^2=9
add
-4+9=5
Mr Keen, a band teacher wanted to know if certain types of instruments are
more appealing to one gender or the other. So he conducted a survey of his
students preferences. The results are complied in the chart below: What is the
ratio of the number of girls preferring woodwind instruments to the number of
boys preferring woodwind instruments? *
Instruments
Boys
Girls
15
23
Strings
Woodwind
19
30
Brass
27
13
Percussion
32
25
Your answer
P
Answer:
23:22
Step-by-step explanation:
See the image!The length of two sides of a triangle are 10 cm and 8 cm which measure cannot be the length of the third side of the triangle
Answer:
Triangle inequality theorem:
10 + 8 > x ⇒ x < 1810 + x > 8 ⇒ x > -2 8 + x > 10 ⇒ x > 2Combined the inequality is:
2 < x < 18The length of the third side can't be 2 or smaller or 18 or greater
What is the missing value?
54
30%
100%
?
Answer:
the missing value is 18.
Step-by-step explanation:
First i converted the percentage to a fraction which was 30% was 3/10 or 0.3 or 3 and 100% was 1 so i took those numbers with 54, 1, 3, and Solve for an unknown value x with this fractions calculator. Find the missing fraction variable in the proportion using cross multiplication to calculate the unknown variable x. Solve the proportion between 2 fractions and calculate the missing fraction variable in equal's.
For the equation
543=x1
The cross product is
54×1=3×x
Solving for x
x=54×13
and reducing
x=18
Solution by Proportion
Since the equation is an equality
If
3 ÷ 1 = 3
Then it is true that
54 ÷ x = 3
Solving for x
x = 54 ÷ 3
x = 18
Can someone help me with this pls?
Answer:
C. 7 ft
Step-by-step explanation:
I plugged it into a calculator
Ariana just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. If she keeps up this plan for 12 weeks, how many total miles would Ariana have run, to the nearest whole number?
Answer: sarah ran 150 miles in 12 weeks
Step-by-step explanation:
Find the interest earned in Mrs. Charlie's account after 4 years, if she had
deposited $11,000 in her account. The bank pays a compound interest of 8.4%
annually.
Answer:
11012.4
Step-by-step explanation:
4 + 11000 = 11004
11004 + 8.4 = 11012.4
If the shorter rectangle is 1 unit long, how many units long is the longer rectangle?
Answer: 2 units long
pamela is 10 years older than Jiri. the sum of their ages is 76. what is jiri age
Answer:
jiri's age is 66 years old
Step-by-step explanation:
76-10= 66 years old
I just need help with these question
Answer:
No links sorry :<
Step-by-step explanation:
The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of 250 ft2 and a standard deviation of 2 ft2. To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be ¯ = 249.6 ft2
Find the probability that the sample mean area is 249.6 ft2 or less if the manufacturer’s claim is true
Answer:
Given that the manufacturers claim is true, the probability that the sample mean area is 249.6 ft.² or less is 0.42074
Step-by-step explanation:
The manufacturer claims that mean amount of foil on each roll, μ = 250 ft²
The standard deviation of the measured amount of foil per roll, σ = 2 ft.²
The number of rolls tested by the restaurant, n = 10 rolls
The mean measured by the restaurant, [tex]\overline x[/tex] = 249.6
Taking the sample means as individual score, we have;
The z-score, of the sample mean is given as follows;
[tex]z=\dfrac{\overline x -\mu }{\sigma }[/tex]
At [tex]\overline x[/tex] = 249.6, we have;
z = (249.6 - 250)/2 = -0.2
Therefore, the probability for a mean less than or equal to 249.6, we have;
The probability, P = P(z < -0.2) = 0.42074
The probability that the sample mean area is 249.6 ft.² or less given that the manufacturers claim is true, P = 0.42074.
What is the probability a customer ordered a small, given that he or she ordered a hot drink?
Answer:
i don no
Step-by-step explanation:
It takes six analysts forty-two days to write a report. If the report had to be ready in 7 days, how many analysts would be needed?
Pl help it’s for a grade
Step-by-step explanation:
Given,
1. The given expression is [tex]\sqrt[10]{x^9}[/tex].
We need to write it into exponential form.
We know that,
[tex]\sqrt[a]{x} =x^{1/a}[/tex]
Here, a = 10
So,
[tex]\sqrt[10]{x^9}=(x^9)^{1/10}\\\\=x^{9\times \dfrac{1}{10}}\\\\=x^{9/10}\\\\=x^{0.1}[/tex]
2.
[tex](\sqrt[4]{3y} )^3\\\\=((3y)^3)^{1/4}\\\\=3^{3\times \dfrac{1}{4}}\times y^{3\times \dfrac{1}{4}}\\\\=3^{3/4}y^{3/4}[/tex]
Hence, this is the required solution.
Giving brainlist to whoever answers
Answer:
False
Step-by-step explanation:
[tex]V=bhw\\V=7.5*13*2\\V=195[/tex]
PLSSSSSSSSS HELPPPPP!!!!!!!
Wednesday
3. A student answers 90% of the
questions on a math exam correctly, how
many questions are on the exam?
Answer:
its kind of a vague question, it could be 9/10 or it could be 90/100 ??
Step-by-step explanation: