Answer:
Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.
Step-by-step explanation:
Answer:
I think base times hight
what is the inverse function of f(x) = 4x - 1
Answer:
[tex]f(x) = \frac{x + 1}{4}[/tex]
Step-by-step explanation:
To inverse the function switch the places of x and y like this:
x = 4y - 1
Now, solve for y:
[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]
It's that easy!
I hope this helps!!
- Kay :)
This is finding exact values of sin theta/2 and tan theta/2. I’m really confused and now don’t have a clue on how to do this, please help
First,
tan(θ) = sin(θ) / cos(θ)
and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)
Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.
Now recall the half-angle identities,
cos²(θ/2) = (1 + cos(θ)) / 2
sin²(θ/2) = (1 - cos(θ)) / 2
and taking the positive square roots, we have
cos(θ/2) = √[(1 + cos(θ)) / 2]
sin(θ/2) = √[(1 - cos(θ)) / 2]
Then
tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]
Notice how we don't need sin(θ) ?
Now, recall the Pythagorean identity:
cos²(θ) + sin²(θ) = 1
Dividing both sides by cos²(θ) gives
1 + tan²(θ) = 1/cos²(θ)
We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.
cos²(θ) = 1/(1 + tan²(θ))
cos(θ) = - 1/√[1 + tan²(θ)]
Plug in tan(θ) = - 12/5 and solve for cos(θ) :
cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13
Finally, solve for sin(θ/2) and tan(θ/2) :
sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)
tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2
3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62
solve each system of equations
Divide 25000 in the ratio 2:3:5
Pls answer this question
It is reaaaallyy imp
Will mark as brainliest
Let the parts be 2x, 3x and 5x.
Sum= 25000
Therefore,2x+3x+5x=25000
10x=25000
x=25000/10
x=2500
Therefore, parts:-
1. 2×2500=5000
2. 3×2500=7500
3. 5×2500=12500
Answer:
5000, 7500, 12500
Step-by-step explanation:
[tex]2 + 3 + 5 = 10[/tex]
[tex]25000[/tex] ÷ [tex]10[/tex] = [tex]2500[/tex]
[tex]2500[/tex] × [tex]2 = 5000[/tex]
[tex]2500[/tex] × [tex]3 = 7500[/tex]
[tex]2500[/tex] × [tex]5 = 12500[/tex]
[tex]\therefore[/tex] [tex]25000[/tex] will split into [tex]5000[/tex], [tex]7500[/tex], and [tex]12500[/tex].
To check if the answer is correct, you can add the values up and see if they sum up to [tex]25000[/tex]:
[tex]5000 + 7500 + 12500 = 25000[/tex]
Hope this helps :)
A is twice as good a workman as B and together
they finish a piece of work in 18 days. In how
many days will A alone finish the work?
Answer:
vbnmnbv nbbnmbnmvbr
Step-by-step explanation:
The price of a 7 -minute phone call is $1.75. What is the price of a 14 -minute phone call?
Answer:
$3.50
Step-by-step explanation:
14 is double 7
So the price should be double
1.75 x 2 = 3.5
(Assuming there's no base fee and the charge is purely for minutes)
Find the value of x in the triangle shown below.
X
5
6
Answer:
C. x = √61
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 6
Leg b = 5
Hypotenuse c = x
Step 3: Solve for x
Substitute: 6² + 5² = x²Exponents: 36 + 25 = x²Add: 61 = x²Isolate x: √61 = xRewrite: x = √61Answer: 61
Step-by-step explanation:
25+36=x
61=x
x=61
Solve for Y
ABC = DEF
Answer:
12
Step-by-step explanation:
△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!
This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.
First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).
Now, we just solve it!
[tex]60=5y[/tex]
y=12
Write numbers to make each line have the same sum
Answer:
There is nothing here?
Step-by-step explanation:
If a data plot has most of the data on the left side of the graph, and a tail to the right, what do we call it?
Answer:
Positively skewed distribution (or right-skewed).
I GIVE BRAINLILSET
Janelle baked 25 cookies with 5 scoops of flour. With 12 scoops of flour, how many cookies can Janelle bake? Assume the relationship is directly proportional.
Answer:
60
Step-by-step explanation:
25÷5=5
5×12=60
have a great day! :)
Answer:
60
Step-by-step explanation:
We are given:
25/5 = 5
Since the relationship is directly proportional,
x/12 = 5
Multiply both sides by 12 to isolate x:
x = 60
this is what i need help with so please help
Answer:
The temperature farthest from zero is 5
Step-by-step explanation:
the reason for this is because it doesn't matter whether that temperature is negative or positive because all the question is asking is...."how far from zero"....and would -4 be farther from zero....or would 5 be farther from zero. How I know this is absolute value is always positive. And absolute value of -4....is 4.....and absolute value of 5....is 5.
And 5 is 1 temperature more away from zero than -4.
Answer:
5 is the farthest from 0
-4 is the coldest temperature
5 is the warmest temperature
Step-by-step explanation:
The farthest from 0 could be negative or positive. It's just whichever one has the greatest absalute value (if you know that term, if not...), whichever one you would put up more fingers to count to.
In this case, according to the number line, the farthest from 0 into the nagatives is -4, but the farthest from 0 in the positives is 5. This means that 5 is the farthest from 5 because 5 takes 5 of your fingers to count to, whule -4 (yes, even though it's negative) takes just 4 fingers. This is a good way to visualize it until you can wrap your head around it!
The coldest is the lowest number. In this case, it's below zero. Below zero means negatives. In this case, -4 is the lowest number.
The warmest is the highest number. In this case, it's above zero. That means it's a positive number. 5 is the highest number here.
Simplefly the problem 1/2x/45>61
Answer:
x>5490
x
>61
x>61×90
x>5490
Solve the equation and check the solution.
A - 2 1/2 = 1 1/2
O a = 1
O a = 3 1/2
O a = 4
O a = 4 1/2
Step-by-step explanation:
A - 2.5 = 1.5
A = 1.5 + 2.5 (Add 2.5 on both sides)
A = 4.
Answer:
C
Step-by-step explanation:
Vector you equals (-3,8), and vector v=(-14,6) match each vector operation with the magnitude of its resultant vector
drag the tiles to the boxes to form the correct pairs not all tiles will be used
Answer:
I hope this helps you
Step-by-step explanation:
The magnitude of given operations of vectors are found.
What are Vectors?Vectors are quantities which are having the independent properties of magnitude as well as direction.
Given that,
u = (-3, 8) and v = (-14, 6)
3u = (-9, 24) and 2v = (-28, 12)3u - 2v = (-9+28, 24-12) = (19, 12)
Magnitude of 3u - 2v = [tex]\sqrt{19^2+12^2}[/tex] = [tex]\sqrt{505}[/tex] units
2u = (-6, 16) and 3v = (-42, 18)2u - 3v = (36, -2)
Magnitude = [tex]\sqrt{36^2+(-2)^2}[/tex] = [tex]\sqrt{1300}[/tex] units
u = (-3, 8) and 4v = (-56, 24)u + 4v = (-59, 32)
Magnitude = [tex]\sqrt{(-59)^2+32^2}[/tex] = [tex]\sqrt{4505}[/tex] units
5u = (-15, 40) and v = (-14, 6)5u - v = (-1, 34)
Magnitude = [tex]\sqrt{1157}[/tex] units
7u = (-21, 56) and 2v = (-28, 12)7u - 2v = (7, 44)
Magnitude = [tex]\sqrt{1985}[/tex] units.
Hence the magnitude of vectors are found.
Learn more about Vectors here :
https://brainly.com/question/13322477
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I am an odd number that is less than 10 and is not the number of sides on a triangle.I can be divided by three what number am I?
Answer:
I think that it would be 9 because it is less than ten and can be divided equally by 3.
Step-by-step explanation:
The Black Panther looks for Vibranium to put in his spear.He spends 3/5 of an hour searching.Over 4 days,about how many hours does he search for gemstones
Answer:
RIP chadwick
Step-by-step explanation:
Sum of the Interior angles of a 32-gon
Answer: 5,400 degrees
Step-by-step explanation:
Answer:
In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.
Internal angle (degrees): 168.75°
Dual polygon: Self
Symmetry group: Dihedral (D32), order 2×32
Step-by-step explanation:
Your welcome!!!❤
Gloria thinks it will take her 12 hours to get to Florida. It actually takes her 10 hours and 12 minutes. What is Gloria’s approximate percent error?
A.
15%
B.
16%
C.
18%
D.
19%
If you help me i will mark you brainlis
Answer:
e
Step-by-step explanation: