Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
Answer:
trigonometry is the branch of mathematics that studies the relationship between angles and sides of a triangle.
2. Which number line is correct? Why are the others incorrect?
Answer:
the middle one is correct
Step-by-step explanation:
the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"
the middle one is correct because the pattern is consistent and the order of the numbers are correct
the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number
hope I helped ❤
Explanation:
The first number line is incorrect because the -1, -2, -3 should be reversed to get -3, -2, -1. It's reversed because the negatives are a mirror image of the positive counterpart.
The second number line is correct. Each number shown is separated with a gap size of 20. This gap size stays the same throughout the number line.
The third number line is incorrect. The gap from -15 to -12 is 3 units, while the gap from -12 to -10 is 2 units. We see that the gap size isn't the same through the entire number line.
So to summarize: the gap size must be the same and the numbers must be written in the correct order.
Help!!! can someone help me solve this page im getting really confused I will mark you brainliest ☆ if you help me solve this :)
4 no. one i guess 10
not sure
if you can expplain
Answer:
I can explain. The answer is A
Step-by-step explanation:
Think of it this way: when you write a mixed number, the fraction is out of 100. If the denominator is 8, find 1/8 of 100 by doing 100 divided by 1/8. This gives you 12.5. The entire fraction is 2/8, so we need to multiply 12.5 by 2, since it's only 1/8. 12.5 x 2 gives us 25. In the decimal, this would be equal to .25. A is the only answer that represents the mixed number as a decimal correctly.
Question 2
Which results in a net value of 0?
O John has $25 and spends $10
O John gives away 4 out of 5 of his canned sodas
O John buys a shirt for $20 and returns it for a refund of $20
O John makes $8 but owes Tracie $5
how many numbers are there between 256 and 789 that are divisible by 7
Answer:
76
Step-by-step explanation:
How many numbers are between 256 and 789 are divisible by 7 ?
Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.
a) let n1 be the lowest integer >=A such that n1 is divisible by M.
If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.
n1 will be the first number of the sequence of numbers divisible by M.
b) let n2 be the highest integer <=B such that n2 is divisible by M.
Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .
n2 w
A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:
x−y7−1
Let’s do it:
252 is the largest number less than 256 divisible by 7. y = 252
791 is the smallest number greater than 789 that’s divisible by 7.
Thus, our answer is 113-36–1 = 76.
Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).
Hope it helped you!!
Pls mark me the brainliest :)
(a)
537
Given that -+-+-=0, express a in terms of b and c.
a b c
Ar (9² - s)
Make q the subject of the formula p:
a
(b)
Answer:
Here ia your answer
Hope it helps
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{5}{a}[/tex] + [tex]\frac{3}{b}[/tex] + [tex]\frac{7}{c}[/tex] = 0 ( multiply through by abc to clear the fractions )
5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )
3ac + 7ab = - 5bc ( factor a out of each term on the left side )
a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)
a = - [tex]\frac{5bc}{3c+7b}[/tex]
---------------------------------
(b)
p = [tex]\frac{\sqrt{4r(q^2-s)} }{q}[/tex] ( multiply both sides by q )
pq = [tex]\sqrt{4r(q^2-s)}[/tex] ← square both sides
(pq)² = 4r(q² - s) ← distribute
p²q² = 4rq² - 4rs ← subtract 4rq² from both sides
p²q² - 4rq² = - 4rs ( multiply through by - 1 )
4rq² - p²q² = 4rs ← factor out q² from each term on the left side
q²(4r - p²) = 4rs ← divide both sides by (4r - p²)
q² = [tex]\frac{4rs}{4r-p^2}[/tex] ( take the square root of both sides )
q = ± [tex]\sqrt{\frac{4rs}{4r-p^2} }[/tex]
Colin, Michael, and John are among 15 singers
in the community choir. Three members of the
choir will be selected at random to sing the
national anthem at the next city council meeting.
What is the probability that Colin, Michael, and
John will be the 3 singers chosen?
A.
1/910
B.
2/1125
C.
1/455
D.
1/5
Answer:
OPTION D
NO. OF SINGERS=15
NO. OF FRIENDS =3
THERE PROBABILITY =3/15=1/5
Gabriel's family is investing $5,000 into two different bonds for college. One bond gave
an interest of 5% per year, and the other 3%. If the combined interest for the year was
$220, how much money was invested in each bond?
The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500
This question would be solved using simultaneous equation
Two equations can be derived from this question
a + b = 5000 equation 1
0.05a + 0.03b = 220 equation 2
where a = amount invested in the bond that bears 5% per month
b = amount invested in the bond that bears 3% per month
Multiply equation 1 by 0.05
0.05a + 0.05b = 250 equation 3
Subtract equation 2 from 3
0.02b = 30
Divide both sides of the equation by 0.02
b = 1500
Substitute for b in equation 1
a + 1500 = 5000
subtract 1500 from both sides of the equation
a = 5000 - 1500 = 3500
Amount invested in the bond that yields 5% is $3500
Amount invested in the bond that yields 3% is $1500
To learn more about simultaneous equation, please check : https://brainly.com/question/15165519?referrer=searchResults
find the value :
of x
[tex]\\ \rm\longmapsto <AEC+<CED+x=180[/tex]
[tex]\\ \rm\longmapsto 47+90+x=180[/tex]
[tex]\\ \rm\longmapsto 137+x=180[/tex]
[tex]\\ \rm\longmapsto x=180-137[/tex]
[tex]\\ \rm\longmapsto x=43[/tex]
which quadrant will the line y= -1/4 x-15 never pass
Step-by-step explanation:
For x-intercept:
put y=0
0=-1/4 x -15
1/4x=-15
x=-15×4
x=-60
points(-69,0)
For y-intercept:
put x=0
y=-1/4(0)-15
y=-15
points(0,-15)
This line will never pass through first quadrant.
Note:if you need to ask any question please let me know.
The line will never pass through first quadrant.
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given line:
y= -1/4 x-15
Now, the x-intercept:
0=-1/4 x -15
1/4x=-15
x=-15×4
x=-60
and the y-intercept will be
y=-1/4(0)-15
y=-15
Hence, the line will never pass through first quadrant.
Learn more about intercept here:
https://brainly.com/question/14180189
#SPJ2
This is a high school grade question
Answer:
[tex]herre \: total \: angle \: in \: circle = 360 \\ then \\ \: 6x + 1 + x - 19 + 35 = 360 \\ 7x - 18 + 35 = 360 \\ 7x + 17 = 360 \\ 7x = 343 \\ x = \frac{343}{7} = 49 \\ x = 49degree \\ thank \: you[/tex]
6x + 1° + x - 19° + 35° = 360°
6x + x + 1° - 19° + 35° = 360°
7x + 1° - 19° + 35° = 360°
7x + (-18)° + 35° = 360°
7x + 17° = 360°
7x = 360° - 17°
7x = 343°
x = 343° : 7
x = 49°
Is 8 1/4 an irrational number?
Solve for x 3 ( 2x -50 ) = 2 ( 8x -7) + 4 X = _________ A. 14 B. 10 C. -14 D. -10
Answer:
B
Step-by-step explanation:
3(2x-50)=2(8x-7)+4x
6x-150=16x-14+4x
6x-150=20x-14
150-14=20x-6x
136=14x
x=136/14
x=9.7=10
One day Dillan worked from 8:00 AM to 1:00 PM, took a break for lunch, and then
worked from 1:30 PM to 6:00 PM. How many total hours did he work?
2
9.5 hours
8 hours
9 hours
8.5 hours
Answer:
Dillan worked for a total of 9.5 hours.
Step-by-step explanation:
8:00am to 1:00pm is a total of 5 hours,
1:30 to 6pm is a total of 4.5 hours, So 5+4.5= 9.5
Find the equation of the circle
(x + 2)2 + (y + 5)2 = 4
tve
when it is reflected about y = 2x + 1.
Answer:
2x+4+2y+10=4
2x+2y=4-10-4
2(x+y)=-10
x+y=-10/2
x+y=-5
x+2x+1=-5
3x=-6
x=-6/3
x=-2
48 ounces of liquid detergent
for $6.19. Find the unit rate
Hi there!
»»————- ★ ————-««
I believe your answer is:
Around 13 cents.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\rightarrow \frac{dollars}{ounces}= \frac{6.19}{48}=\frac{6.19/48}{48/48}=0.128958... \approx \$0.13[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
is -6.146 contued a rational or irrational
explian pls
Step-by-step explanation:
cannot be written as a fraction so its irrational
What is the solution to the equation?
5 = 2/5a
A. 2
B. 4 3/5
C. 12 1/2
D. 25
Answer:
3 rd OptionStep-by-step explanation:
[tex]5 = \frac{2}{5} a[/tex]
=> 5 × 5 = 2a
=> 25 = 2a
[tex] = > \frac{25}{2} = a[/tex]
[tex] = > a = 12 \frac{1}{2} (ans)[/tex]
Is 16g + 10 - 4g and 20g + 10 equivalent
Hey guys I need help in these. Thanks in advance^^
1) In which operations does the order of the numbers make a difference to the
final answer? Find out what this rule is called.
2) If evaluating the sum 2+3+4 does it make a difference which two numbers !
add first? Is the same true for the other operations? What's this rule called?
Answer:
Read explanation
Step-by-step explanation:
The two operations that you will get the same answer for no matter what order you do it is addition and multiplication.
Bonus: Technically, if you had something like 1-2-3 you could rewrite it as 1 + (-2) + (-3) and now it won't matter the order and for something like 1/2/3 you could rewrite as 1 * (1/2) * (1/3) and not it wont matter the order too!
This propetie is called the associative property of addition and multiplication.
In the second question since its addition the order you do it in does not matter.
Why: If you think of it logically adding in a diffrent order than the question does not matter since in the end your still adding the same ammount.
Remember: You can only swap the orders if everything is addition or multiplication and remember your order of operations when using this propety in the years to come.
Hoped this helped, Eddie K.W.
(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
(b) Find the common difference of an A.P. whose first term is 9, the number of terms is 7, and the sum is 0.
it's a optional mathematics Questions please solve him
Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3
Answer:
A, D, E, F
Step-by-step explanation:
0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30
Answer:
Step-by-step explanation:
35
You start at (0, 2). You move right 2 units and down 4 units. Where do you end?
Answer:
(2, -2)Step-by-step explanation:
Translation left or right adds to x-coordinate, translation up or down adds to y-coordinate.
Given coordinate (0, 2) and translation is 2 units right and 4 units down:
x = 0 + 2 = 2y = 2 - 4 = -2The end points is (2, -2)
We have to move x co ordinates 2 more and y coordinate 4less
Do it
[tex]\\ \sf\longmapsto (0,2)[/tex]
[tex]\\ \sf\longmapsto (0+2,2+(-4))[/tex]
[tex]\\ \sf\longmapsto (2,2-4)[/tex]
[tex]\\ \sf\longmapsto (2,-2)[/tex]
We will end at (2,-2)
Find the perimeter of the irregular hexagon with side lengths y, 2y + 11, -3y - 9, y^2, 5y - 1, and бу^2.
Answer:
PERIMETER=Y+2Y+11+-3Y-9+Y^2+5Y-1+6Y^2
=7Y^2+4Y+1
Find an equation of the line L that contains the points (0,0) and (5,3)
Y =
Answer:
y = (3/5)*x
Step-by-step explanation:
First, we can use the slope-intercept form of a line, or y=mx+b
To find the slope, m, we can find
(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have
(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5
Therefore, our equation is
y = (3/5)x + b
To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in
y = mx + b
0 = (3/5)*0 + b
0 = b
Our equation is therefore
y = (3/5)*x + 0
= (3/5)*x
Solve the compound inequality 8x > –32 or 6x ≤ –48.
Answer:
x>-4 x≤-8
Step-by-step explanation:
Simplify:
6 - 2 =
14 14
Answer:
6-2=1414
Step-by-step explanation:
6-2=1414
now
sub 6 from 2
4=1414
now divide 1414 by 4
1414÷4
[tex]1414 \div 4[/tex]
you will get the answer
Step-by-step explanation:
[tex] \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you[/tex]
Write an equation in point-slope form of the line that passes through the given point and
has the given slope: (3,4), m=1/3
Answer:
y - 4 = 1/3 (x - 3)
Step-by-step explanation:
What is the length of MO?
Select the best answer from the choices provided.
A.4
B.5.656
C.8
D.11.314
Answer:
D
Step-by-step explanation:
8^2+8^2=128
Square root of 128 is about 11.313
what is cos 0 when sin 0 = 2/5
Answer:
cos 0 = 1
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