Answer:
3 sides
Step-by-step explanation:
If the interior angle measures 60 degrees, this means the exterior angle measures 120 degrees.
The exterior angle of a regular polygon is given by 360/n, where n is the number of sides, so setting this equal to 120, we get that n=3 sides
1. Trig Function
2. Coordinate value (x, y)
3. Value in terms of sinθ and/or cosθ
sinθ = _________________
cosθ = _________________
secθ = _________________
cscθ = _________________
tanθ = _________________
cotθ = _________________
The values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = tanθ.cosθ
cosθ = sinθ/tanθ
secθ = 1/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
cotθ = cosθ/sinθ
Trigonometric functionsFrom the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ
sinθNOTE: tanθ = sinθ / cosθ
∴ sinθ = tanθ.cosθ
cosθFrom above, we can write that
cosθ = sinθ/tanθ
secθSecant is the inverse of cosine
∴ secθ = 1/cosθ
cscθ (cosecθ)Cosecant is the inverse of sine
∴ cscθ = 1/sinθ
tanθtanθ = sinθ/cosθ
cotθCotangent is the inverse of tangent
∴ cotθ = 1/tanθ
But, tanθ = sinθ/cosθ
∴ cotθ = cosθ/sinθ
Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = tanθ.cosθ
cosθ = sinθ/tanθ
secθ = 1/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
cotθ = cosθ/sinθ
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Which expression correctly represents "ten times the difference of a number and six"?
Answer:
10*(n-6)
Step-by-step explanation:
Break up the equation above and use words. ex.
10 (times) n (minus) 6
^
this is the difference
The type of data that contains results from other people that are of similar age and gender is known as
The type of data that contains results from other people that are of similar age and gender is known as normative data.
What is normative data?
Normative data is a type of data that is observed that contains information about the characteristics of a population of interest. For example, normative data about students in a class would contain information such as age, gender, height.
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jeremy spends 3/4 of his check on paying bills and 15% on food if jeremy makes 500 $ how much money will he save
answer choices:
A. 375$
B. 50$
C. 125$
D. 85$
what fraction is at point M?
Answer:
D
Step-by-step explanation:
because 3/10 is 0.3
Hope this helps!
Can anybody help me with this?
Answer:
A
Step-by-step explanation:
The rate of change for the table is found using the slope formula. The rate of change for the linear function is the coefficient of x.
__
tableThe slope formula tells us the rate of change is ...
m = (y2 -y1)/(x2 -x1)
m = (-9 -(-10))/(-1 -(-4)) = 1/3
equationThe coefficient of x in the equations of the offered answer choices are 1/4 and 6.
comparisonThe relations between the various slopes are ...
1/4 < 1/3 < 6
That is, the equation with a slope of 1/4 has a rate of change less than that of the function represented by the table:
y = 1/4x +4 because ... table of values is 1/3
In 2009, a principal of $3600 was invested at 3.75% interest, compounded annually. let t be the number of years since 2008. let y be the value of investment, in dollars. Write an exponential function showing the relationship between y and t.
Answer:
3,600 x (1.0375) ^ 1
Step-by-step explanation:
Compund interest formula.
IA * (r + 1) ^t
IA = Initial amount; r = rate (as decimal); t = time (in years)
IA = 3600
r = .0375
t = 1 (2008-2009)
3,600 x (1.0375)^1
-- Gage Millar, Algebra 1/2 Tutor, (Pending Pre-Calc Tutor)
Given the table, write an equation in slope-intercept form.
Answer:
If you plot points accordingly to the points on the table, Option A. is correct.
Please Help I Don't Understand.
BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:
AE/AD = AB/AC
10/(10 + 8) = x/(x + 6)
Solve for x :
10 (x + 6) = x (10 + 8)
10x + 60 = 18x
8x = 60
x = 60/8 = 7/5
Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why or why not.
Answer:
She is wrong.
Step-by-step explanation:
The mean score is
7 + 8 + 3 + 0 + 2= 20
We then divide it by the number which is 5
20/5= 4.
Therefore, Maria is wrong.
This is because she divided by 4 instead of 5, as she didn't include the rational number 0.
11. Find the total surface area.
4 in.
6 in.
2 in.
Answer:
Appearantly, you forgot to mention the question
Select the correct answer from each drop-down menu.
veronica wants to cut a sheet of paper into squares with an area of 12 square inches. for the best approximation, the length of each side o
the square pieces of paper must be approximately equal to
inches. if each side were exactly this length, the area of each square
would be _____
square inches
Answer:3.46
Step-by-step explanation:i dont know the other one
please answer! this is my final question
Answer:
C. 103,748
Step-by-step explanation:
The one in the first number is worth 10,000
The one in the Second number is worth 100,000
A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F. Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points) Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points) Part C: In January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not? (4 points)
I need part b
Also I need it asap please and thanks
The answers to the options are:
The inequality that represent the temperatures is -40°F < x <140°FOpen interval −49° F is not in the interval of -40°F ad -140°F and as such, he cannot drive.What is the inequality of the temperature?This inequality is known tp imply that the normal body temperature is taken (subtracted) from the minimum and maximum body temperature.
Note that in case A, the The inequality that represent the temperatures is less than sign.
In case b, it is an open interval because it means that in -40°F to -140°F , it is not equal to as that is the reason that the gas cannot stay liquid.
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You deposit $1600 in a bank account. Find the balance after 3 years for each of the
following situations:
The account pays 2.5% annual interest compounded monthly.
The account pays 1.75% annual interest compounded quarterly.
The account pays 4% annual interest compounded yearly.
Find ∠ if ∠=+49, ∠=+63, and ∠=106∘.
The vslue of the angle based on the information given will be 142°.
How to calculate the angle?From the information given, it can be deduced that the shape has four sides. The total angles will be:
= (n - 2) × 180
= (4 - 2) × 180°
= 360°
The value of the last angle will be:
= 360° - (49° + 63° + 106°)
= 360° - 218°
= 142°
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Bottles of water come in packages of 6. Cheese sticks come in packages of 10.
What is the least number of packages of each a person has to buy to have the same number of bottles of water and cheese sticks?
Drag and drop a number into each box to complete the statement.
That person needs to buy Response area packages of bottles water and Response area packages of cheese sticks.
Answer:
water: 5 packagescheese sticks: 3 packagesStep-by-step explanation:
The number of bottles of water and cheese sticks will be the same when both numbers are equal to the least common multiple (LCM) of 6 and 10, the numbers in each kind of package.
__
The LCM can be found by factoring out the greatest common divisor of each of the numbers:
6 = 2 × 3
10 = 2 × 5
The LCM is the product of the unique numbers here: 2 × 3 × 5 = 30.
The number of packages of bottles of water will be 30/6 = 5 packages.
The number of packages of cheese sticks will be 30/10 = 3 packages.
_____
Additional comment
You may notice that the number of packages of each kind is the unique factor in the other number.
Please answer now!!!
Answer:
Step-by-step explanation:
(
81
m
6
)
1
2
Simplify the expression.
9
2
(
1
2
)
(
m
6
)
1
2
Cancel the common factor of
2
.
9
1
(
m
6
)
1
2
Simplify the expression.
9m3
Answer:
Step-by-step explanation:
Given
(81 m^6) ^ (1/2)
Solution
change 81 to 9^2
(9^2 m^6)^(1/2)
Now multiply the 1/2 by each of the powers
9^2*(1/2) m^6^1/2
Answer 9 m^3
Comment
It's hard to show this, but the 1/2 only multiplies by power. It doesn't influence the base. That's because 1/2 is a power itself.
what is the mean of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?
Answer:
50
Step-by-step explanation:
Add all of the values together, which will equal 600, and then divide this number by how many numbers are here, which is 12.
600 / 12 = 50.
What is the probability that the spinner lands on an even number or on the unshaded section? one-fifth two-fifths three-fifths four-fifths
The probability that the spinner lands on an even number or on the unshaded section is; 3/5
How to find the probability?
From the spinner attached, we see that the number of sections on the spinner is 5 sections.
Now, we can also see that;
Number of even numbers section = 2
Number of shaded sections = 1
Thus, probability that the spinner lands on an even number or on the unshaded section is;
P(even number or unshaded section) = (2 + 1)/5 = 3/5
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find the solutions(s) to 9x^2-54x+0
Answer:
x = 6
x = 0
As shown, there are 2 values for x. The question is why, which we will go over in the explanation part.Step-by-step explanation:
identify the coefficients
[tex]9x^2-54x=0\\a=9\\b=-54\\c=0[/tex]
coefficient a = 1
[tex]9x^2-54x=0\\9/9x^2-54x/9=0/9\\x^2-6x=0\\\rightarrow a=1\\\rightarrow b=-6\\\rightarrow c=0[/tex]
complete the square
[tex]b=-6\\(\frac{b}{2})^2=(\frac{-6}{2})^2\\(\frac{x}{y})^2=\frac{x^2}{y^2}\\=(\frac{-6}{2})^2=\frac{-6^2}{2^2}\\\frac{-6^2}{2^2}=\frac{36}{4}\\36 \div 4=9\\\\\downarrow\\\\x^2-6x=0\\x^2-6x+9=0+9\\x^2-6x+9=9\\\frac{b}{2}\\\frac{b}{2}=\frac{-6}{2}\\\frac{b}{2}=\frac{\left(-3\cdot 2\right)}{\left(1\cdot 2\right)}\\\frac{b}{2}=-3\\x^2-6x+9=9\\(x-3)^2=9\\[/tex]
solve for x
[tex](x-3)^2=9\\\sqrt{(x-3)^2}=\sqrt{9}\\x-3=+-\sqrt{9}\\x-3+3=3+-\sqrt{9}\\x=3+-\sqrt{9}\\x=3+-3\\x_1=6\\x_2=0[/tex]
≡ In the end, you have 2 values for x, because you can either subtract 3 by 3 or add 3 by 3 to get six or zero.
how do i do this could you show step by step please?
Answer:
x = 2
Step-by-step explanation:
This is a 45-45-90 special right triangle. The legs in this triangle are equal and the hypotenuse is leg multiplied with √2. Refer to the picture at the bottom.
One leg is x, the second leg is x and hypotenuse x√2.
[tex]x \sqrt{2} = 2 \sqrt{2} \\\\\text{Divide both sides with } \sqrt{2} \text{ to isolate } x.\\\frac{x \sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{\sqrt{2}}\\\\x = 2[/tex]
b divided by 7-12=8
What is b?
Answer:
140
Step-by-step explanation:
b/7-12=8
b/7=8+12 add
b/7=20
b=7*20 multiply
b=140
answer is 140 it is right answer
The annual water usage in rockport increases at a rate of 10% every year as the town gets bigger. this year, the town used 6,740 megaliters of water. in 7 years, how much water will be used annually?
if necessary, round your answer to the nearest hundredth.
4618 mega liters of water, in 7 years, will be used annually.
What is interest?Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
here, we have,
I=PRT/100
=6740×10/100×7
=674×1×7
=4618
the nearest hundredth is a 4618 this is the answer.
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Answer:
13,134.35 megaliters
Step-by-step explanation:
Plug in 6,740 megaliters for the initial amount, 0.1 for the rate of increase, and 7 years for the time elapsed.
y
= a(1+r)t
y
= 6,740(1+0.1)7 Plug in values
y
= 6,740(1.1)7 Add
y
= 6,740(1.94871…) Simplify
y
= 13,134.35325… Multiply
Round to the nearest hundredth.
13,134.35325… → 13,134.35
To the nearest hundredth, Rockport will use 13,134.35 megaliters of water annually.
43.7826087 rounded to the nearest tenth
Answer:
43.8
When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number
Given that m∠TSU = m∠SUQ, why is RT || UQ?
Craig went bowling with $25 to spend. he rented shoes for $5.00 and paid $4.00 for each game. What was the greatest number of games he could have played?
A. 5
B. 7
C. 6
D. 4
Answer: A
Step-by-step explanation:
Given:
Budget = $25
Shoes rental = $5.00
Price per game = $4.00
To find the greatest number of games he played...
↓
First, subtract the rent for the shoes from the budget.
25 - 5 = 20
Second, divide the remaining money or budget by the price per game.
20 ÷ 4 = 5 (greatest number of games played)
Lastly, check if the expense is the same as the original amount of money.
5 (shoes) + 4(5) (number of games played)
5 + 20 = 25 (original amount of money)
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if x= 1 y=3 satisfy the linear equation 3x - 4y +9=0
Answer:
Step-by-step explanation:
3(1) + 4(3) + 9 = 0
3 + 12 + 9 = 0
24 ≈ 0
What is the remainder when f(x) = x³- 13x² + 40x + 18 is divided by x-7? Show your work.
Answer:
remainder = 4
Step-by-step explanation:
using the remainder theorem
when f(x) is divided by (x - a) then the remainder is f(a)
so when f(x) is divided by (x - 7) the remainder is f(7) , that is
f(7) = 7³ - 13(7)² + 40(7) + 18
= 343 - 13(49) + 280 + 18
= 343 - 637 + 298
= 4
Hence, the remainder is [tex]4[/tex].
What is the remainder value?
The remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient.
Applying the remainder theorem
In general when [tex]f(x)[/tex] is divided by [tex](x - a)[/tex] then the remainder is [tex]f(a)[/tex].
So, here when [tex]f(x)[/tex] is divided by [tex](x - 7)[/tex] the remainder is [tex]f(7)[/tex], that is
[tex]f(7)=7^3-13(7)^3+40(7)+18\\=343-13(49)+280+18\\=343-637+298\\=4[/tex]
Hence, the remainder is [tex]4[/tex].
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The quadratic function graphed has a range of y 23.
O True
False