ik im late but..
Option B would be the correct answer.. 5.5 basically
Answer:
I agree with the other person. I answered with the exact same answer so yes it is indeed 5.5!
Step-by-step explanation:
(x sin a + y cos a)^2 + (x cos a – y sin a)^2 = x^2 + y^2
Answer:
Proved
Step-by-step explanation:
Required
Prove that:
[tex](x\ sin\ a + y\ cos\ a)^2 + (x\ cos\ a - y\ sin\ a)^2 = x^2 + y^2[/tex]
Solving from left to right:
Open brackets
[tex](x\ sin\ a + y\ cos\ a)(x\ sin\ a + y\ cos\ a) + (x\ cos\ a - y\ sin\ a)(x\ cos\ a - y\ sin\ a) = x^2 + y^2[/tex][tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a - 2xy\ sin\ a\ cos\ a + y^2\ sin^2 a = x^2 + y^2[/tex]
Collect Like Terms
[tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a - 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]
[tex]x^2\ sin^2 a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]
Collect Like Terms
[tex]x^2\ sin^2 a + y^2\ sin^2 a + x^2\ cos^2 a + y^2\ cos^2 a = x^2 + y^2[/tex]
Factorize:
[tex](x^2 + y^2)\ sin^2 a + (x^2 + y^2) cos^2 a = x^2 + y^2[/tex]
Further factorize
[tex](x^2 + y^2)(sin^2 a + cos^2 a) = x^2 + y^2[/tex]
In trigonometry:
[tex]sin^2 a + cos^2 a = 1[/tex]
So, we have:
[tex](x^2 + y^2)(1) = x^2 + y^2[/tex]
[tex]x^2 + y^2 = x^2 + y^2[/tex]
Proved
Please help me on this!!
Answer:
TW = ST
Step-by-step explanation:
RS = RW (Given)
RT = RT (reflexive property)
This makes ∆RST congruent to ∆RWT based on the reflexive property of congruence.
Therefore, the third corresponding sides, TW and ST would be congruent to each other.
Thus:
TW = ST
The perimeter of the rectangle is 34 cm. The perimeter of the triangle is 30 cm. Find the value of m.
a. 5 cm
b. 6 cm
c. 7 cm
d. 8 cm
Please select the best answer from the choices provided
Answer:
a. 5cm
Step-by-step explanation:
r. m+m+n+n= 34
t. m+n+n+1=30
r. 2m + 2n =34
t. m + 2n + 1 = 30
after multiple by negative t row
t. -m -2n -1 = -30
and combine the 2 rows
2m -m +2n - 2n -1 = 34 - 30
m - 1 = 4
and we add one to each side of the operation
m - 1 + 1 = 4 + 1
m = 5
The value of m is 5 cm. Therefore, option A is the correct answer.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Given that, the perimeter of the rectangle is 34 cm.
We know that, the formula to find the perimeter of rectangle is 2(Length+Width)
From the figure, 2(m+n)=34
m+n=17 -------(I)
The perimeter of the triangle is 30 cm.
From the figure, m+n+n+1=30
m+2n=29 -------(II)
From equation (I), we have m=17-n
Put m=17-n in equation (II), we get
17-n+2n=29
n=12 cm
Substitute n=12 in equation (I), we get
m=5 cm
The value of m is 5 cm. Therefore, option A is the correct answer.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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look at the diagram, how do you know that y is not directly proportional to x.
Step-by-step explanation:
If y was directly proportional to x, the graph of y against x would pass through the origin (O).
Since the graph above does not show this, y is not directly proportional to x.
what is the area of the figure below i ready
Answer:
43 in^2
Step-by-step explanation:
Answer:
43in^2
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
it should cost about 140414031413414189043184948143814884184183940000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
a) $96 b) 4.85%
Step-by-step explanation:
Cash cost: 4400
10% down: 4400 * 10% = 440
Rest cost she owed: 4400 - 440 = 3960
6 month paid: 676 * 6 = 4056
Finance interest paid: 4056 - 3960 = 96
calculate by simple interest rate (r: annual rate): 3960 * r * t ( t = 6 month = 1/2 year)
3960 * r * 6/12 = 96
r = 0.0485 (4.85%)
check: 3960 * ( 1 + 4.85% * 6/12) = 4056 = 676 * 6
James worked for 8 hours mowing lawns; he earned 68 dollars. How much would he
earn if he worked for 10 hours?
Answer:
$85
Step-by-step explanation:
First you do 68 divided by 8. Then you take the answer 8.5 and multiply it by 10 which equals 85. Brainliest?
Michael has a bag with 38 coins in his backpack consisting of nickels, n, and quarters,q. If he has a total of $4.50, how many nickels, n, does he have?
Answer:
25 Nickles
Step-by-step explanation:
n + q = 38
0.05n + 0.25q = 4.50
n + q = 38
q = 38 - n
0.05n + 0.25q = 4.50
0.05n + 0.25(38 - n) = 4.50
0.05n + 9.5 - 0.25n = 4.50
-0.2n + 9.5 = 4.50
-0.2n = 4.50 - 9.50
-0.2n = -5
-0.2n/0.2 = -5/0.2
-n = -25
-n/-1 = -25
n = 25
What is 7/6 divided by 4/3 ?
Answer:
0.875
Step-by-step explanation:
I looked it up
Find the missing exponent in each expression
Answer:
See below.
Step-by-step explanation:
Multiplying terms with exponents make the exponents add together.
13.) x² · x⁵ = x⁷
14.) b⁵ · b³ = b⁸
15.) y⁴ · y⁷ = y¹¹
16.) m⁴ · m¹ = m⁵
Manny runs 15 3/4miles each week. Zander runs
5/6
olu
as many miles each week as Manny.
How many miles does Zander run each week?
Answer: Zander Runs, 13.125 miles. You take the mixed number and change it into an improper fraction. So you get 63/4 then multiply that by 5/6 and get 13.125 miles there is your answer. I hope this helps you
Step-by-step explanation:
Pleas help!! Trigonometry! Picture Attached!!
6. sec0= 20
0= ____
Answer:
tan theta = -1
we know tan = opposite/ adjacent
So opposite/adjacent = -1
Multiply by adjacent on each side
opposite = - adjacent
We also know from pythagorean theorem that
opposite ^2 + adjacent ^2 = hypotenuse ^2
Substituting in for adjacent
opposite ^2 + (-opposite ) ^2 = hypotenuse ^2
opposite ^2 + opposite ^2 = hypotenuse ^2
2 opposite ^2 = hypotenuse ^2
Taking the square root on each side
sqrt(2 opposite ^2) = sqrt(hypotenuse ^2)
sqrt(2) opposite = hypotenuse
We are now set to find the sec
sec theta = hypotenuse / adjacent
= sqrt(2) opposite/ adjacent
Replace the opposite = -adjacent
= sqrt(2) (-adjacent)/adjacent)
= -sqrt(2)
Step-by-step explanation:
Answer:
tan theta = -1
we know tan = opposite/ adjacent
So opposite/adjacent = -1
Multiply by adjacent on each side
opposite = - adjacent
We also know from pythagorean theorem that
opposite ^2 + adjacent ^2 = hypotenuse ^2
Substituting in for adjacent
opposite ^2 + (-opposite ) ^2 = hypotenuse ^2
opposite ^2 + opposite ^2 = hypotenuse ^2
2 opposite ^2 = hypotenuse ^2
Taking the square root on each side
sqrt(2 opposite ^2) = sqrt(hypotenuse ^2)
sqrt(2) opposite = hypotenuse
We are now set to find the sec
sec theta = hypotenuse / adjacent
= sqrt(2) opposite/ adjacent
Replace the opposite = -adjacent
= sqrt(2) (-adjacent)/adjacent)
= -sqrt(2)
Step-by-step explanation:
Question 2
A toy spinner found in a kindergarten classroom is shown below.
Each of the six sections of the spinner are equal. What percentage and decimal equivalent of the spinner is represented by the star?
Answer
F 1% and 1.6
6
G 0.6% and 0.6
H 16% and 0.166
J 60% and 0.60
Answer:
answer J
Step-by-step explanation:
srry if im wrong hope it helps:)
Find the value of f(x) = -3x +2
When x=2
Answer:
it is -4
Step-by-step explanation:
-3 * 2 = -6 + 2 = -4
The population f(x), in millions, of State A of a country after x years is represented by the function shown below:
f(x) = (1.08)x
The graph shows the population g(x), in millions, of State B of the country after x years. (0,2) and (9,4).
Which conclusion is correct about the population of State A and State B?
a. The original population of State B was half of the original population of State A.
b. The original population of State A was half of the original population of State B.
c. The original population of State B was one-fourth of the original population of State
d. The original population of State A was one-fourth of the original population of State
Answer:
-- State-A . . . Population = 1 · (1.08)ˣ
-- State-B . . . Population = 2 · (1.08)ˣ
' x ' = number of years after the original population
At the beginning, x=0.
Any quantity raised to the zero power = 1.
At the beginning, when x=0, the original populations were
State-A = 1 · 1 = 1
State-B = 2 · 1 = 2
The original population of State A was half of
the original population of State B.
this isn't my answer but hope it helps
WILL GIVE BRAINLIEST!!!
Step-by-step explanation:
In A, XY and ZW are congruent sides and both the sides are parallel.they will never interecet.
In B, WX and YZ are also congruent and are parallel.They also never intersect.
In C, WY and WZ are not congruent and will intersect at one point.They form triangle.
In D, angle of W is same as angle of Y.They are congruent angles.Opposite angles of a parallelogram are always equal.
S2=1/(1)(2)+1/(2)(3)
Answer:
1/(1) (2) +1/(2) (3)
=1/2+1/6
=3
What is the standard form of the polynomial
7x - 125 - 6x4 + 14x2
Answer:
Step-by-step explanation:
Writing the polynomial according to the decreasing value of the exponents, the polynomial in standard form is given by:
[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]
In a standard form polynomial, the terms with the highest exponents always come first.
In this problem, the exponents are, in order, 1, 0, 4 and 2. Thus, first should come the term with exponent 4, then the term with exponent 2, then exponent 1 and finally the term with exponent 0. Thus, the polynomial in standard form is given by:
[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]
A similar problem is given at https://brainly.com/question/21328461
Write an equation that represents the line.
Use exact numbers.
Step-by-step explanation:
at 2=-2
at -3= -6
[tex]y = ax + b \\ - 2 = 2a + b \\ - 6 = - 3a + b[/tex]
[tex] - 2 - ( - 6) = 2a - ( - 3a) \\ 4 = 5a \\ a = 0.8[/tex]
[tex] - 2 = 2(0.8) + b \\ b = - 2 - 1.6 \\ b = - 3.6[/tex]
[tex]y = 0.8x - 3.6[/tex]
The larger of two numbers is 3 more than six times the smaller. the difference of the larger number and the smaller number is 8. find the numbers
Answer:
Step-by-step explanation:
x > y
x = 6y + 3
x-y = 8
(6y+3) - y = 8
5y + 3 = 8
y = 1
x = 6y + 3 = 9
Write the following ratio as a reduced fraction. Simplify your answer when possible: 44 to 50
Answer:
22 to 25
brainliest pls!
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answer:
9 weeks
Step-by-step explanation:
divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity
An electrician has 4.1 meters of wire.
a. how many strip 7/10m long can he cut?
b. how much wire will he have left over
Plz answer correctly and I will give you the brainiest answer.
Answer:
Communtative property of mulitplcation
Step-by-step explanation:
The ansewer is the Communtative property of mulitplcation because it states That it allows two or more factors to be multiplied in anny order without changing the profit
Craig invests $350 in a savings account that earns 1.5% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account
after 2 years?
Answer:
Step-by-step explanation:
Kyra invested $15,000 of her money at a 1.8% per year bank rate. ... What is Kyra's account balance, to the nearest cent, after: Year 1? Year 2? ... -Compounded interest adds interest not only to your principle amount, but your ... 5) Suppose you deposit $3,000 into an account that earns 6% compounded annually
Whats the slope and y-intercept of y=-3x+4?
Answer:
slope= -3. y intercept is 4
Step-by-step explanation:
the x value is slope and the y value is y intercept.
REMEMBER THIS!!! ITS SUPPPER IMPORTANT
Answer:
[tex]\boxed {\sf m= -3}}[/tex]
[tex]\boxed {\sf b= 4}[/tex]
Step-by-step explanation:
The equation of the line is in slope intercept form or:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Essentially:
The coefficient to x, or number being multiplied is the slope The number added or subtracted from the x term is the y-interceptThe line given is:
[tex]y= -3x+4[/tex]
-3 is the coefficient of x and 4 is being added to -3x.
The slope (m) is -3 and the y-intercept (b) is 4.
DONT HAVE MANY POINNNNTSSSS
do this correct answer may get brainliest
Answer:
I think its D
Step-by-step explanation:
Sorry if its wrong
84+9-3+2x76_20=?
i need annwer
Answer: 222
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer:
It Ariana grande but when that person reported me my brainlist got taken away
Step-by-step explanation:
What is the slope of the line -3y = 12x + 6?
Answer:
-4
Step-by-step explanation:
Let us rearrange this equation by dividing both sides by (-3):
y=-4x-2
And since the equation of a line is y=mx+b, where slope=m,
then the slope of our line is -4
I hope this helps! :)
Slope of the line -3y = 12x + 6 is -4.
What is slope intercept - form of line?The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as:
y = mx + b.
Given,
Equation of the straight line
-3y = 12x + 6
Dividing by -3 on both side
y = 12x/-3 + 6/-3
y = - 4x - 2
Comparing the above equation with slope - intercept form equation of line
y = mx + b
where m is slope and b is vertical intercept.
Slope of the given line
m = -4
Hence, - 4 is the slope of the line -3y = 12x + 6 .
Learn more about slope - intercept form of line:
https://brainly.com/question/29146348
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What should managers use if they want to identify and respond in a timely manner to social and political shifts?
Answer:
They need to use issues management
Step-by-step explanation:
Due to the fact that social and political shifts are usually quite complex in terms of the possible issues that arise from them, managers are best served to use Issues management because it is an anticipatory and strategic management process which aids organizations in quick & timely detection and response to changes in the socio - political system or environment.
