Answer:
cos(60) = sin(30)
Step-by-step explanation:
cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°
sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°
The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?
Answer:
each company will earn $38 when they ship a 12-pound package
Step-by-step explanation:
you can solve this algebraically by setting up two equations:
let 'c' = charges per pound
Lone Star: y = 2c + 14
Discount: y = 1.5c + 20
now set each equation equal to the other to solve for 'c':
2c + 14 = 1.5c + 20
subtract 14 from each side to get:
2c = 1.5c + 6
subtract 1.5c from each side to get:
0.5c = 6
c = 6/0.5
c = 12
if you plug 12 in for 'c' in each equation you will get y = 38
(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package
Kathy is laying stepping stones in her garden the stones are 8 inches long and she wants to create a path that is 10 feet long how many stones will she need
Answer:
15 stones
Step-by-step explanation:
1) It is easier to convert to one unit. So i chose to convert everything to inches.
1 foot = 12 inches
10 feet = 120 inches
2) we then simply divide the size of the stones to see how much we need to cover the path
120/8 = 15 stones
What is the area of the shaded portion of the square?
Answer:
Maybe 34cm
Sana makatulong..
Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?
Answer:
6
Step-by-step explanation:
when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.
hope this helps! :D
Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C
Answer:
1. Loss ₹50
2. - 60
3. 50 km towards North
4. 1000
5. - 30
6. - 15° C
Solve the quadratic equation by completing the square.
x? + 10x + 22=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. If there is more than one solution, separate them with commas.
Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -
Answer:
y = 3/4x - 6 1/4
Step-by-step explanation:
I hope that the slope 3 4 - - means 3/4
Slope = 3/4
Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"
y = mx + b
-7 = 3/4(-1) + b
-7 = -3/4 + b
-7 + 3/4 = b 3/4 as a decimal = .75
-7 + .75 = b
-6.25 = b
The equation of the line is y = 3/4x - 6.25 or y = 3/4x - 6 1/4
Which number represents a square root of 3 [cos(pi/2) + i sin (pi/2)]?
===========================================================
Explanation:
We use De Moivre's Theorem. It says that if you started with
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
then raising both sides to the nth power leads to
[tex]z^n = r^n*\left[\cos\left(n*\theta\right)+i*\sin\left(n*\theta\right)\right][/tex]
The term out front r is raised to the nth power. We also have copies of n inside the trig functions.
The square root operation undoes the squaring operation, so we'll be dealing with n = 2.
If you were to go through each answer choice, then you'll find that squaring choice B will lead to the original expression given.
[tex]z = \sqrt{3}*\left[\cos\left(\frac{\pi}{4}\right)+i*\sin\left(\frac{\pi}{4}\right)\right]\\\\\\z^2 = (\sqrt{3})^2*\left[\cos\left(2*\frac{\pi}{4}\right)+i*\sin\left(2*\frac{\pi}{4}\right)\right]\\\\\\z^2 = 3*\left[\cos\left(\frac{\pi}{2}\right)+i*\sin\left(\frac{\pi}{2}\right)\right]\\\\\\[/tex]
Note that working this process in reverse means we apply the square root and we'll go from the expression in choice B to the original expression again.
The complex number Z = √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number in the trigonometric form:
Z = √(3[cosπ/2 + i sinπ/2])
It is required to find the square root of the complex number.
To find the square root of the complex number we can use the De Moivre's theorem:
If
Z = r[cosθ + i sinθ]
Zⁿ = rⁿ[cosnθ + i sinnθ]
Using the above theorem:
Z = √3[cos[(1/2)π/2] + i sin[(1/2)π/2]]
Z = √3[cosπ/4 + i sinπ/4]
Thus, the complex number Z = √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ5
what would this one be?
Answer:
I believe it's 6/10
Step-by-step explanation:
3/5 times 2 = 6/10
Convert 1/3 to a percent
Answer:
33 1/3%
Step-by-step explanation:
Answer:
33.3%
Step-by-step explanation:
We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:
1/3 = 0.33333333333333
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.33333333333333 x 100 = 33.3333%
(Hope this helps can I pls have brainlist (crown)☺️)
Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8
A group of 169 students needs to be seated in a square formation for a
yearbook photo. Solve the equation N² = 1,024 to find how many students
should be in each row. ASAP
We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-
[tex]r = \sqrt{169} = 13[/tex]
Then, a square of 13 rows and 13 columns will fit the 169 students.
If the number of students is 1024, then the number of rows N can be calculated as :-
[tex] {N}^{2} = 1024[/tex]
[tex]N = \sqrt{1024} [/tex]
[tex]N = 32[/tex]
Final Answer :-169 students will seat in a 13×13 formation.
1024 students will seat in a 32×32 formation (N=32)
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what is 6.38 to 1 decimal place
Answer: Is 6.4
Step-by-step explanation: I hope I helped in some way shape or form.
Write two algebraic expressions that have -10m as one of the terms in their product.
Step-by-step explanation:
Given,
The product of Algebraic Expression is equal to the ________ of their H.C.F& L.C.M.
Solution,
Consider the the numbers are a, b.
a \times b = LCM\,of\,\left( {a,b} \right) \times HCF\,of\,\left( {a,b}Given,
please help I don't understand what it wants :(
NO LINKS!!!!!!!!
Below are two parallel lines with a third line intersecting them.
× = ____ °
Answer:
x=116°
Step-by-step explanation:
we have two parallel line and x=116
Solve pls with explanation!
((mn^8)/n^9 )^3
WILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
m is only raised to the 3rd power. The 8 effects only the n
Numerator
m^3
(n^8 )^3 = n ^24
denominator
(n^9)^3 = n^27
Answer: m^3 * n^24 / n^27 = m^3 / n^(27 - 24) = (m/n )3
Hi!
Given:
[tex](\cfrac{mn^8}{n^9} )^3[/tex]
First, let's do what is inside the parenthesis. Since we're dividing, we subtract unlike exponents, and if there are any negatives, we switch them to make them positive:
[tex]8-9=-1[/tex]
Switch since it's negative:
[tex]\frac{m}{n} ^3[/tex]
rewrite 4x+2y=20 so that y is a function of x
Answer:
y=-2x+10
Step-by-step explanation:
1.
Use the quadratic function to predict y if x equals 6.
y = 2x^2 − 2x − 2
A. y = −58
B. y = −60
C. y = 60
D. y = 58
Answer:
D. y = 58
Step-by-step explanation:
Answer:
The value of the polynomial is 58 for x = 6.
Step-by-step explanation:
Here, the given quadratic function polynomial is given as:
or,
Now, to find the value of y, when x = 6
⇒
= 2(36 - 6 -1) = 2(29)
= 58
⇒y(6) = 58
Hence, the value of the given polynomial is 58 for x = 6.
Admit it, you're waiting for something that has no chance of happening.
Alone, I feel sad. ...
Behind every “it's okay” is a little pain.
Clowns need laughter too.
Do you ever think about your well-being and realize how not okay you are?
Drowning in a whirlpool of emotions.
Answer:
no.
Step-by-step explanation:
no. thanks.
..........
..
Assessment started: undefined.
Item 1
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
(−1, −6)
(−3, 3)
(11, 3)
(7, 0)
the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?
A new school will have three playgrounds. Two playgrounds will be large and one playground will be small. The district administrator had 3 5/8 truckloads of concrete delivered for each of the two large playgrounds and 1 9/10 truckloads of cement delivered for small playground. If the cost of the concrete is $2,000 per 1/2 truckload, the concrete for the three playgrounds will cost $_____.
Blank options
-18,300
-22,100
-32,600
-36,600
plz help I don't understand this at all.
Answer:
you multiple two numbers and you devide both sides you get the answer
A new car is purchased for 24500 dollars. The value of the car depreciates at 14.75% per year. What will the value of the car be, to the nearest cent, after 14 years?
Answer:
$258
Step-by-step explanation:
Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms
Answer:
A
Step-by-step explanation:
Answer:
conversion from gram to kilogram
u divide the gram by 1000
which is 722/ 1000
=0.722kilograms
i.e answer is A
Without graphing, find the slope of the line that goes through (2,-1) and (6,1)
Answer:
-7
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-1-6/2-1
-7/1
= -7
what is the answer to 5+3x(5-2) ^2
Answer:
576
Step-by-step explanation:
5 + 3 = 8
5 - 2 = 3
8 x 3 = 24
24 to the second power is 576
Answer:
27x+5
Step-by-step explanation:
5+3x(5-2)^2
5+3x(3)^2
5+3x*9
5+27x
27x+5
help with these sum please it is math
Answer:
Step-by-step explanation:
24 ) Before, so -5 sec
25) after. So, + 5 sec
26) + 50 c
27) -50 c
28) - 1 min
29) + $ 50
30) - $ 5
31) +5
32) - 5
Please help
4(x+8)+2=1/2(8x+60)
Answer:
This is a contradiction
What is the perimeter of a regular decagon with sides of 14 inches?
Answer:
140 inches
Step-by-step explanation:
one decagon has 10 sides
14*10= 140
Nina gets paid $200 a week plus an extra $5 per handbag
she sells. Write an equation for this problem, and identify
the slope and y-intercept
Answer:
y=5x+200
Step-by-step explanation:
x=number of handbags
y-intercept=200
slope=5
please give me brainly since I'm trying to level up!