Answer:
sqrt(2)/2
Step-by-step explanation:
Given tan(x)=2-cot(x), find sin(x).
Rewrite in terms of sine and cosine:
sin(x)/cos(x)=2-cos(x)/sin(x)
Multiply both sides by cos(x)sin(x):
sin^2(x)=2sin(x)cos(x)-cos^2(x)
Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:
sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))
Distribute:
sin^2(x)=2sin(x)cos(x)-1+sin^2(x)
Subtracting sin^2(x) on both sides:
0=2sin(x)cos(x)-1
Add 1 on both sides:
1=2sin(x)cos(x)
Use identity sin(2x)=2sin(x)cos(x) to rewrite right:
1=sin(2x)
Since sin(pi/2)=1, then 2x=pi/2.
Dividing both sides by 2 gives x=pi/4.
So sin(pi/4)=sqrt(2)/2
m=8+n
PLZ HELP ASAP, WILL MARK BRAINLIEST!!!
[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]
Take n to left[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]
Henceif m=1
[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]
if n=1
[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]
[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]
The cone in the figure below has a volume of 72π cubic centimeters and a height of 6
centimeters. What is the radius of the base of the cone, in centimeters?
Answer:
6 cm
Step-by-step explanation:
The volume of a cone = (1/3) πr²h
72π = (1/3) π r² 6
72 = (1/3) r² 6
Divide both sides by 6
12 = (1/3) r²
Multiply both sides by 3
36 = r²
So r (radius) = 6 cm
Suppose a study finds that the correlation coefficient relating job satisfaction to salary is r=1. Which of the following are the proper conclusions?
I. High salary causes high job satisfaction.
II. Low salary causes low job satisfaction.
III. There is a very strong association between salary and job satisfaction.
I and II only
I, II and III
III only
I only
Answer:
its I, II and III.
Step-by-step explanation:
r values are from -1 to 1, if the value is 0 means there's no connection between values of variables, if its lower than 0, if the value of variable goes up the other goes down, if its higher than 0, than if one value of variable increases than the value of other variable increases too. the closer to 1 the stronger the association.
** SOMEBOBY HELP ME**
Answer:
Step-by-step explanation:
If these were similar, then the ratio 35/18 (the top and bottom measures from each of the polygons) would have to equal the ratio 63/10 (the side measures from each of the polygons).
35/18 = 1.944444
63/10 = 6.3
They are not similar because the simplified ratios are not the same.
What is the expression for “the difference between four times a number and three times that number”???
Answer:
B
Step-by-step explanation:
The correct equation will be 4N-3N
ever since Anthony started going to the gym 4 days per week he has been taking protein he wants to take every day to help build muscle. How many grams of protein does Anthony take for the entire day (100%)
Answer:
how much protein did he take per day tho?
ndicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team's winning percentage and attendance at its home games: (Click to select) . b. Higher temperatures and sweater sales: (Click to select) . c. A person's income and how often he or she shops at discount stores: (Click to select) . d. Higher gasoline prices and miles driven in automobiles: (Click to select) .
Answer:
Following are the responses to the given question:
Step-by-step explanation:
The following relationships usually have a direct or inverse relationship, please indicate.
Win percentage and attendance during home games of a sports franchise are directly related.There is an inverse relationship between higher temperatures with sweater sales.An inverse link exists between a family's salary and how often he or she spends in bargain shops.There was an inverse relationship between higher gas prices and more miles traveled.Need an explanation
Answer: Choice B
[tex](6\sqrt{5}+5)i[/tex]
==========================================================
Work Shown:
[tex]\sqrt{-5}+\sqrt{-25}+\sqrt{-125}\\\\\sqrt{-1*5}+\sqrt{-1*25}+\sqrt{-1*25*5}\\\\\sqrt{-1}*\sqrt{5}+\sqrt{-1}*\sqrt{25}+\sqrt{-1}*\sqrt{25}*\sqrt{5}\\\\i*\sqrt{5}+i*5+i*5*\sqrt{5}\\\\i*\sqrt{5}+5i+5i*\sqrt{5}\\\\(i\sqrt{5}+5i*\sqrt{5})+5i\\\\(\sqrt{5}+5\sqrt{5})i+5i\\\\(6\sqrt{5})i+5i\\\\(6\sqrt{5}+5)i\\\\[/tex]
This points us to answer choice B
31. Which inequality is represented by
this graph?
Answer:
A. x/5 - 6 > -4
Step-by-step explanation:
The graph shows that x > 10. We need to solve each of the inequalities. After we do, we see that A is the answer.
A. x/5 - 6 > -4
x/5 > 2
x > 10
Pls help me !!! What is the area of rectangle
Answer:
B 48
Step-by-step explanation:
Ac=2AE, because AE=r, Ac=d, d=2r
Ac=2*5=10
The angle ADC is right, because it leans on the diameter AC,
find the leg DC, use the Pythagorus theorem
DC= sqrt (Ac^2-AD^2)= sqrt(100-36)=sqrt64=8
S= 6*8=48
What is the surface area ,in square meters of the toy box
Answer:426m^2
Step-by-step explanation:
Which of the following questions are true? Select two that apply.
Answer: A and C
Step-by-step explanation:
The other choices aren't correct because
B. [tex]x^{\frac{4}{5} } =\sqrt[5 ]{x^{4}}[/tex]D. [tex](\sqrt{x^{3} } )^{8}=(x^{\frac{3}{2} } )^{8}=x^{\frac{24}{2} } =x^{12}[/tex]En un cine que hay 550 personas, el 30% va a ver una película de terror, el 25% va a ver una novela, el restante va a ver una pelicula de ciencia ficcion ¿ cuantas personas van a ver cada pelicula?
POR FAVOR AYUDENMEN!!!!
Answer:
165 ver una pelicula de terror, 137.5 (138) ver una novela, y 247 ver una pelicula de ciencia ficcion.
Step-by-step explanation:
0.3 x 550 = 165
0.25 x 550 = 137.5 --> 138
165 + 138 = 303
550 - 303 = 247
Will Mark Brainlest Help Please Please
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
On a recent math test, Samantha scored 3 points for each of the 18 multiple choice questions she
answered correctly and 5 points for each of the 6 short response questions she answered
correctly.
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18 multiple choice questions, this means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short response questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: https://brainly.com/question/16397188
Phương trình (m + 2)x2 – 2mx + 1 = 0 là phương trình bậc hai khi:
A. m ≠ 1. B. m ≠ -2. C. m ≠ 0. D. mọi giá trị của m.
B::: m ≠ -2.............
Help please !!!!!!!!!!
Answer:
D
Step-by-step explanation:
A function means that each input value (in this case, x) has only one output value (y). The vertical line test states that if a vertical line intersects with the relation more than once, it is not a function. Therefore, as a vertical line at x=0 intersects with the graph twice, the graph fails the vertical line test
The mason will build a wall that uses 36 bricks in each row. The wall will be 140 rows high. Each brick weighs 4 pounds. What is the total weight of all the bricks?
Answer:
20,160 pounds
Step-by-step explanation:
bricks in each row * number of rows * pound of each brick
Answer:
20160 lbs
Step-by-step explanation:
To find the amount of bricks, multiply 36 by 140 which equals 5040. Then, multiply 5040 by the weight: 4. 5040×4=20160
Help me!!! Please to solve this problem of o. Math
a) Given a function f(x) = 2x + 3. Find (a) f(1), (b) f(-5), (c) f(a), (d) f(a + 2) (e) f(b)?
b) let f(x) = x + 4 define a function in the closed interval of -55x55, find f(-2), f(3) and f(7).
a:-
f(x)=2x+3
[tex]\\ \rm\Rrightarrow f(1)=2(1)+3=2+3=5[/tex]
[tex]\\ \rm\Rrightarrow f(-5)=2(-5)+3=-10+3=-7[/tex]
[tex]\\ \rm\Rrightarrow f(a)=2a+3[/tex]
[tex]\\ \rm\Rrightarrow f(a+2)=2(a+2)+3=2a+4+3=2a+7[/tex]
[tex]\\ \rm\Rrightarrow f(b)=2b+3[/tex]
b:-
f(x)=x+4
[tex]\\ \rm\Rrightarrow f(-2)=(-2)+4=2[/tex]
[tex]\\ \rm\Rrightarrow f(3)=3+4=7[/tex]
[tex]\\ \rm\Rrightarrow f(7)=7+4=11[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
What is the value of x in the equation
3x - y = 30, when y = 15?
Answer:
x = 15
Step-by-step explanation:
3x - y = 30
Given;
y = 15
To find;
value of 'x'
Putting the value of y in the given equation;
3x - 15 = 30
3x = 30 + 15
3x = 45
x = 45/3
x = 15
Answer:
x = 15Step-by-step explanation:
3x - y = 30let y = 153x - 15 = 303x = 30 + 153x = 45x = 45/3x = 15Let's check:3x - y = 303(15) - 15 = 3045 - 15 = 3030 = 30[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Can someone help me pleasee
Answer:
it's 9x^6.
hope it may help you
there are 32 students in a class and 20 of them own at least one pet what fraction of the class own pets
HOPE IT HELPS
PLEASE MARK BRAINLIEST
The fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
To find the fraction of the class that owns pets, we divide the number of students who own pets by the total number of students in the class.
A fraction is a mathematical representation of a part-to-whole relationship. It is expressed as a numerical quantity written in the form of one number (the numerator) divided by another number (the denominator), separated by a horizontal line or slash (/).
The numerator represents the number of parts being considered or counted, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to describe a portion or share of something, as well as to compare quantities or perform mathematical operations.
Number of students who own pets: 20
Total number of students in the class: 32
Therefore, the fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
To know more about fraction , here
https://brainly.com/question/30154928
#SPJ2
Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0
Answer:
a.
[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]
b.
[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]
please help me
I need help
Pls help ASAP! Have to be done with school before I leave for work
Answer:
M = (-4, -5)
Step-by-step explanation:
M = (-2-6)/2 , (-10+0)/2
M = -8/2 , -10/2
M = (-4, -5)
Answer:
(-4, -5)
Step-by-step explanation:
x1 = -2 ,x2 =-6, y1= -10, y2=0
(-2-6/2 ,-10+0/2)
(-8/2, -10/2)
(-4,-5)
I need help by 9:30!!! Please help! I would GREATLY appreciate it!!!!!
I have two questions:
1. Which is larger: a or -a
if a > 0 = a___-a
if a = 0. = a___-a
if a < 0 = a___-a
2. Which is larger: 1/a or 1/2a
if a > 0 = 1/a___1/2a
if a < 0 = 1/a___1/2a
Answer:
1. a>-a
EXAMPLE: 5>-5
2. a=-a
3. a<-a
EXAMPLE: -3<--3 = -3<3
Step-by-step explanation:
what is answer guys
[tex]2x(x + 1) + 1(x + 1)[/tex]
Step-by-step explanation:
ᵉᵃˢʸ ᵖᵉᵃˢʸ
2x²+2x+x+1
2x²+3x+1
Assume f(x) = 2x – 3 and g(x) = 5 - 2x. Find
оооо
A.5 - 2x
2х - 3
B.-8
5
C.3
5
D.2x – 3
5 - 2x
Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.
x
=
2
,
y
=
1
x
=
9
,
y
=
10
x
=
9
,
y
=
4
Help please anyone please
Welp....there's your answer
help pls i need this done asap ty
Answer:
b) 7.89*10^4
c) 3.15*10^3
Step-by-step explanation:
2-42)
the coefficient in scientific notation (the number that is not 10^x) has to be greater or equal to 1 and less than 10. so c and b are incorrect.
b) 0.789*10^5
c) 31.5*10^2
b) 0.789*10^5
in order to make 0.789 greater than 1, I would just multiply it by 10. shown below
=0.789*10*10*10*10*10
=7.89*10*10*10*10
=7.89*10^4
c) 31.5*10^2
same concept but this time divide by 10 to make 3.15 which will add another *10 to the exponent
=31.5*10*10
=3.15*10*10*10
=3.15*10^3
Answer:
Step-by-step explanation:
I forgot
