Answer:
small number is 14
Larger number is 31
Step-by-step explanation:
Let x = one number
Let y = the second number
x + y = 45
x = y - 17
Put y - 17 into the top equation for x
y - 17 + y = 45
2y - 17 = 45 Add 17 to both sides
2y = 45 + 17
2y = 62 Divide by 2
y = 62/2
y = 31
which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)
Answer:A
Step-by-step explanation:
Edge 2020
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
What is trigonometric expression?Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.
It is one of the identities of trigonometry
sinAcosB - cosAsinB = sin(A - B)
Given expression
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]
It is in form of sinAcosB - cosAsinB = sin(A - B)
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]
Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
Find out more information about trigonometric expression here
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Find the slope of the line through
3) (-1, 17). (6, 12)
The larger of two numbers is fourteen more than twice the smaller number. If the sum of the numbers is 41, find the two numbers. Write your answer as two numbers separated by a comma.
Answer:
x+y=41
x=2y+14
by solving eq
2y+14+y=41
y=27
×=68
-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal
Answer:
-2
Step-by-step explanation:
1. Order the set of integers {-3, 0, -6,4} from greatest to least.
Answer:
Greatest 4 > 0 > -3 > -6 Least
General Formulas and Concepts:
Number lineStep-by-step explanation:
Negative numbers are always going to be the smallest while positive numbers will be the greatest
Answer:
4,0,-3,-6
Step-by-step explanation:
integer means a number which is not a fraction. So 4 is the greatest ,because it is positive.Then 0.Then -3 then -6 'cause there negative.
it is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
consumed worldwide in 2015. In 2003, worldwide consumption was 421 quadrillion Btu. What is the
expected rate of change in consumption from 2003 to 2015? (what is rate of change?)
Answer:
the expected rate of change in consumption is 11.83
Step-by-step explanation:
The computation of the expected rate of change in consumption is shown below:
= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)
= (563 - 421) ÷ (2015 - 2003)
= 142 ÷ 12
= 11.83
hence, the expected rate of change in consumption is 11.83
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Which expression is a difference of cubes?
Answer:
[tex](x-y)(x^2+xy++y^2)[/tex]
Step-by-step explanation:
[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]
Answer:
It would be D
Step-by-step explanation:
Got it right on Edge 2021
What is the value of c?
HELP ASP!!❤️
WILL GIVE BRAINLIEST!...
Find the slope of the line. Enter your answer in simplest form.
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, 5)
Point (3, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify: [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add: [tex]m=\frac{-12}{9}[/tex]Simplify: [tex]m=\frac{-4}{3}[/tex]Answer:
the slope is -4/3
Step-by-step explanation:
m=y2-y1/x2-x1
-7-5=(-12)
3-(-6)=9
-12/9
-12/3=(-4)
9/3=3
-4/3
hope this helps :3
if it did pls mark brainliest
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths
Answer:
Option A
Step-by-step explanation:
The equation of line is
Solution:
Given that line passes through the point (4, –6) and has a slope of Negative three-fourths
Given point is (x, y) = (4, -6)
The equation of line passing through point (x, y) and slope "m" is given as:
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Substitute (x, y) = (4, -6) and in eqn 1
The required equation of line is given as:
Thus the equation of line is found
Answer:
a
Step-by-step explanation:
Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?
____ m
Answer:
the circumference of her wheel is 1.81 mLin’s bike travels 100 meters when her wheels rotate 55 times.
here, n = 55 rotation and D = 100 meter.
Diameter is the distance bike travel
n is the number of times rotation
C is the circumference of the wheel
Answer:*******************brainliest
Answer:
How is your day going lol
Step-by-step explanation:
was this supposed to be a question lol>
Will mark brainliest!plz help
EXTRA POINTS!
Answer both questions...
Scientists discovered the ozone layer was depleting at a rapid rate. At the beginning of the study the ozone layer was 3 millimeters thick. Throughout the study it depleted at a rate of 0.04 Millimeters per week.
Which function can be used to find the thickness of the ozone layer in meteres x days sconce the study ?
A) T(x)=-0.04(x+3)
B) T(x)=0.04(x+3)
C) T(x)=0.04x+3
D) T(x)=-0.04x+3
Answer:
1. D
2. D
Step-by-step explanation:
Answer:
i thinks it's D im not so sure but i think it's D
Kendall is making greeting cards, which she will sell by the box at an arts fair. She paid $40
for a booth at the fair, and the materials for each box of cards cost $5. She will sell the cards
for $10 per box of cards. At some point, she will sell enough cards so that her sales cover her
expenditures. How many cards will that take?
Answer:
9
Step-by-step explanation:
40 dollars due up front
10 dollars made per sale
5 dollars lost per creation
Realistically speaking she is only making a $5 profit per box she sells;
$5 used up for material cost, $10 made from sales -5+10= 5
To pay the $40 dollar for the booth she would need to make 9 sales with her current profit
40/5 = 9
solve the equation
-4(x - 26) = -200
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Step-by-step explanation:
-4x+104=-200
-4x=-200-104
-4x=-304
x=-304÷(-4)
×=76
Please help me out!!!!!
-6t-7=17 what does t equal
Answer:
t=-4
Step-by-step explanation:
I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4
There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer
Answer:
Nate's MP3 has 20 hours of memory.
Step-by-step explanation:
1. multiply 9.4 times 100
2. divide that by 47
3. you get your answer of 20 hours
T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?
A:47
B:275
C:550
D:281
Answer: 275
Step-by-step explanation:
write 56.78 correct to one significant number
Answer:
60
Step-by-step explanation:
help plz it due today
Answer:
Point A - 1/2 and - 1/4
Point B - 2 1/2 and 1 1/2
Point C 1/4 and 1/2
Step-by-step explanation:
Okay yes I know it's messy it was a long stressful day lol so just check the last two, are they written right? are they even right? Thanks so much love you guys!!!!!!
Answer:
Yes
Step-by-step explanation:
Yes it is
No 1 is correct
No 2 is correct
No 3 is correct
No 4 is correct
and what i mean by correct is you answered it correct
I hope this helps you :)
Answer:
yes
Step-by-step explanation:
yes it is
it is all correct
I need help on the word problem with
hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj
Answer: x>11
Step-by-step explanation:
Brainliest 5 stars Thanks! (running out of time and points sorry)
Which statement explains how to determine if triangle ABC is similar to triangle XYZ?
Answer:
It is the last one
Step-by-step explanation:
There aren't enough angles
What is an equation of the line that passes through the points (7, 6) and (-2, -3)?
Answer:
y=1x-1
Step-by-step explanation:
m=y2-y1/x2-x1
-3-6=(-9)
-2-7=(-9)
-9/-9=1
6=1*7+b
1*7=7
7-7=0
6-7=-1
b=-1
y=1x-1
hope this helps :3
if it did pls mark brainliest
What is this expression in simplified form? √32 x √24
A. 16√3
B. 64√12
C. √768
D. 32√3
Answer:
16 sqrt(3) x -> A. 16√3
Step-by-step explanation:
Simplify the following:
sqrt(32) sqrt(24) x
Hint: | Simplify radicals.
sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):
2^2 sqrt(2) sqrt(24) x
Hint: | Evaluate 2^2.
2^2 = 4:
4 sqrt(2) sqrt(24) x
Hint: | Simplify radicals.
sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):
4 sqrt(2)×2 sqrt(2) sqrt(3) x
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).
sqrt(2) sqrt(3) = sqrt(2×3):
4 sqrt(2)×2 sqrt(2×3) x
Hint: | Multiply 2 and 3 together.
2×3 = 6:
4 sqrt(2)×2 sqrt(6) x
Hint: | Multiply 4 and 2 together.
4×2 = 8:
8 sqrt(2) sqrt(6) x
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).
sqrt(2) sqrt(6) = sqrt(2×6):
8 sqrt(2×6) x
Hint: | Multiply 2 and 6 together.
2×6 = 12:
8 sqrt(12) x
Hint: | Simplify radicals.
sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):
8×2 sqrt(3) x
Hint: | Multiply 8 and 2 together.
8×2 = 16:
Answer: 16 sqrt(3) x
Answer:
16√3
Step-by-step explanation:
I got it on test
Determine the values of X
Step-by-step explanation:
x+66+52=180
x=180-66-52
x=180-118
x=62
Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.
Answer:
B. Yes, each x value and y value increases by 2.
write the coordinates obtained after the given translation
Answer:You would just have to add 4 to all of the x values and add 5 to all the y values
Step-by-step explanation: