Answer:
$50
Step-by-step explanation:
Change 250 to a decimal:
250/100 = 2.50
multiple the price by this decimal to find the new price:
$20 x 2.50 = $50
Find the area of the shaded region.
which expression is equivalent to (1+cos(x))2(tan(x/2))?
a. sin(x)
b. 1-cos(x)
c. 1-cos2(x)
d. (1+cos(x))(sin(x))
Answer:
It's d
Step-by-step explanation:
(1+cos(x))(sin(x))
The trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to (1+cos(x))(sin(x)) option (d) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The trigonometric expression is:
= (1+cos(x))²(tan(x/2))
As we know,
1 + cos(x) = 2cos²(x/2)
Use the above trigonometric identity:
= (2cos²(x/2))²(tan(x/2))
= 2 cos⁴(x/2) sin(x/2)/cos(x/2)
= 2 sin(x/2) cos³(x/2)
2sin A cos B = sin2A
Use the above trigonometric identity and after simplification we get:
= (1+cos(x))(sin(x))
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Thus, the trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to (1+cos(x))(sin(x)) option (d) is correct.
Learn more about trigonometry here:
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What is the mean of the measures of the three exterior angles of a triangle if two of the interior angles have measures of 63 and 78 degrees?
Answer:
Mean score=120Step-by-step explanation:
Areas of a triangle add upto 180degrees (63+78+x=180) 141+x= (x=180-141) x=39Areas on a straight line add upto 180degrees180-78=102
180-63=117
180-39=141
102+117+141=360Mean=360/3 =120tje volume of a rectangle box with l=3x,b=5y,h=4z
Answer:
60xyz
Step-by-step explanation:
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
help immediately please
Answer:
1
Step-by-step explanation:
you just divide 6/4 and it will equal one
pls help, MARK BRAINLEST with correct answer. Work out the surface area of this solid prism.
Answer:
Where's the prism? ＞︿＜
Step-by-step explanation:
Plz answer this
(5x^2-3x+1)-(4x+2x^2-2)
Find the equation of the straight line which is perpendicular to the straight line 3x+4y=12 such that perpendicular distance from the origin is equal to the perpendicular distance from (3,2) on the given line
Answer:
3y-4x = -6Step-by-step explanation:
First get the slope of the given line;
Given the equation of the line 3x+4y=12
Rewrite in standard form y = mx+c where m is the slope;
3x+4y=12
4y = -3x + 12
y = -3x/4 + 12/4
y = -3x/4 + 3
Hence the slope of the given line is -3/4
Since the required line is perpendicular to this line, the slope of the required line will be M = -1/(-3/4) = 4/3
Get the equation:
Substitute M = 4/3 and the point (3,2) into the point slope equation of a line as shown;
y-y0 = m(x-x0)
y - 2 = 4/3(x-3)
Cross multiply
3(y-2) = 4(x-3)
3y - 6 = 4x - 12
3y - 4x = -12 + 6
3y-4x = -6
Hence the required equation of the line is 3y-4x = -6
For a field trip 5 students rode in
cars and the rest filled ten buses.
How many students were in each
bus if 215 students were on
the trip?
Answer:
21 students
Step-by-step explanation:
215-5=210
210/10 =21
What are the coordinates of the image D0.5(3,5)?
Answer:
There isn't an image attached .
Step-by-step explanation:
Answer:
The answer is 5.-3
Step-by-step explanation:
y - (-9) = –16
linear equations
Answer: y=-25
Step-by-step explanation:
step 1: simplify both sides of the equation
y+9=−16
step 2: subract 9 from both sides
y+9−9=−16−9
y=−25
Can you help me with this question please
Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.
Which statement describes why this sequence is a function?
Select EACH correct answer.
a Each amount of pennies corresponds to a unique day in this sequence.
b The graph of this sequence would pass the horizontal line test.
c Each day corresponds to a unique amount of pennies in this sequence.
d The graph of this sequence would pass the vertical line test.
Answer:
The answer is c and b
Step-by-step explanation:
I took the test
Options B, C and D are correct.
The Graph of this sequence would pass the horizontal line test.Each day corresponds to a unique amount of pennies in this sequence.The Graph of this sequence would pass the vertical line test.We have Holly and her penny collection.
We have to select the correct alternatives from the given.
Starting from 1 marble if you add 'x' marble every day for n days, then you have a total of 40 marbles. Find n.1 + nx = 40
nx = 39
n = 39/x
According to the question-
Initial Amount in piggy bank = 1 penny.
Now -
She adds -
2 Pennies on Day 1.
4 Pennies on Day 2.
8 Pennies on Day 3.
Therefore, the following sequence represents her collection -
1, 2, 4, 8 .....
It can be seen that each day corresponds to a unique amount of pennies in this sequence.
Now -
Vertical line test → to satisfy this test the graph should not have two or more points going through a vertical line.
Horizontal Line test → to clear this test the graph should not have two or more points going through a Horizontal line.
If we plot the graph of this function - Refer to image attached. It can be seen that the graph of this sequence passes horizontal line and vertical line test.
Hence, Options B, C and D are correct.
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Fractions please help ?
Answer:
D) 12 1/14
Step-by-step explanation:
6 2/7+5 11/14
1)
6+5=11
2)
2/7+11/14=
2/7 x 2/2=4/14
3)
4/14+11/14=15/14
4)
15/14= 1 1/14
5)
11+ 1 1/14= 12 1/14
Answer:
The answer to the question is D
Step-by-step explanation:
The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.
Answer:
< CDA = 140 degrees
Step-by-step explanation:
For a rhombus, the sum of the interior angles is 360 degrees and also the opposite angles are equal i.e <ABC = <CDA and <BAD = <BCD
Given
<CAD = 20 degrees
<BCE = 20 degrees (based on geometry)
<BAD = <CAD + <BCE
<BAD = 20 + 20
<BAD = 40 degrees
Since <BAD = <BCD, then <BCD = 40 degrees
Get <CDA
<CDA + <ABC + <BAD + <BCD = 360
<CDA + <CDA + <BAD + <BCD = 360
2 < CDA + 40 + 40 = 360
2< CDA + 80 = 360
2< CDA = 360-80
2< CDA = 280
< CDA = 280/2
< CDA = 140 degrees
What is the slope of a line perpendicular to the given line plz
Answer:
it should be the negative repirocal of -2 so 1/2
Answer:
mPerpendicular= 1/2
Step-by-step explanation:
A purse containing at most 3.15 in quarters and dimes has, in all 20 coins. Find the maximum number of quarters in the purse.
Answer:
4
Step-by-step explanation:
7. You are ordering sweaters from American Eagle. Each sweater costs $25. They also charge a shipping fee of $7. You spent. $132 How many sweaters?
Answer:
Step-by-step explanation:
Alright, after reading this problem, let’s highlight some key points. Each sweater costs $25, we can write that down as 25x because will represent the amount of sweaters we buy. But we have a shipping fee of $7, so we will +7 to our highlights. And the total money spent was $132.
So far, we have: 25x + 7 = 132
Let’s subtract the 7 from the 132. Now we have: 25x = 125
Then we can divide by 25 on each side, and get x by itself.
X = 5 sweaters.
BONUS: Let’s replace 5 for our x to prove our answer
25(5) + 7 = 132 >>> 125 + 7 = 132 >>> 132 = 132 :D
There you go!! We buy 5 sweaters from American Eagle..!
WILL GIVE 100 POINTS AND BRAINLIEST TO FIRST TO ANSWER CORRECT
RQ = TQ
1 2
RS _____ ST
Choose the relationship symbol to make a true statement.
Answer:
>
Step-by-step explanation:
In the lesson, we learned that the side opposite the larger angle was larger. In this case; angle 1 is larger than angle 2. This makes line segment RS > ST. Hope this helps!
Also I did this question myself and this was correct. :D.
Betty is three times as old as her son now. In 12 years, Betty's age will be three years less than twice her son's age. How old is Betty's son now?
Answer:
Betty is 27. Her son is 9.
Step-by-step explanation:
We will use b to represent Betty's age. We will use s to represent her son's age.
This year:
b = 3s
In 12 years' time:
b + 12 = 2(s + 12) - 3
b + 12 = 2s + 24 - 3
b + 12 = 2s + 21
b = 2s + 9
We know that b = 3s, so we can substitute this value into our equation.
3s = 2s + 9
s = 9
b = 3 x 9
b = 27
i need an opinion, my other note is in anouther question. what do y'all think.
Dear Chelsea
I'm tierd of you scraching me
I mean I love you can't you see
You may not see it but your rude to Sue
you tell me a secret like the one about you know who
Do you like to hurt Sue and me
Dose it make very you happy
I'm done with all the disrespect
I always helped you last I checked
I'm always there for you
I have fun doing all the things we do
I love you like my own child
Evan though you're a little wild
Your pretty and strong
Your hair is not so long
But what do I care
I mean it's your hair
I geuss what I'm trying to say
Is that no matter what you do ill still love you anyway
You are my little cousin more like a sister
And I hope to be there when you get your mister
I may not always be there
But I want you to know I still care
So as I look up at the sky
I write this not to say goodbye
Answer:
good job its very good
Step-by-step explanation:
one more ferda yk +100 cause i love you
i love you too thank u soo much ill do the same
Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS
Triangles R M S and R Q S share side R S. Point N is on line R S. Lines are drawn from point M to point N and from point Q to point N. Angles M R S and S R Q are congruent.
Which relationship in the diagram is true?
ΔMNR ≅ ΔMNS by ASA
ΔRMS ≅ ΔRQS by AAS
ΔSNQ ≅ ΔSNM by SSS
ΔQNR ≅ ΔMNR by HL
Answer:
B. ΔRMS ≅ ΔRQS by AAS
I just took the test :)
Answer:B
Step-by-step explanation:just took the test
Solve: 6 -x= 4(5 + x)- 4
OA. x=-2
O B. There are infinitely many solutions.
O C. a =-
OD. X=-5
Answer:
x = - 2
Step-by-step explanation:
Given
6 - x = 4(5 + x) - 4 ← distribute and simplify right side
6 - x = 20 + 4x - 4
6 - x = 16 + 4x ( subtract 4x from both sides )
6 - 5x = 16 ( subtract 6 from both sides )
- 5x = 10 ( divide both sides by - 5 )
x = - 2
MATH! What is 2x5x7x8x7?
Answer:
3920
Step-by-step explanation:
Answer:
3920
Step-by-step explanation:
Consider a large population with a mean of 100 and a standard deviation of 21. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean.
Answer:
3.5
Step-by-step explanation:
Given that:
Population mean (m) = 100
Standard deviation (σ) = 21
Sample size (n) = 36
The standard error of the sampling distribution of sample mean :
Standard Error is given by:
Standard deviation / sqrt(n)
Thus,
Standard Error = 21 / sqrt(36)
Standard Error = 21 / 6
Standard Error = 3.5
What is the answer to this question? (pls help)
Answer:
D
Step-by-step explanation:
if you divide the money by the ounce, D is the cheapest with 0.24 per ounce
Answer:
Step-by-step explanation:
My guess is that it is not A. And A is not the answer.
You have to try each one to see.
3.20 / 8 = .40 cents/ounce.
6.25/25 = .25 dollars per ounce
3.84/16 = .24
The last one is the better buy.
pls helpppppppppppppp
Answer/Step-by-step explanation:
The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:
4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given
Apply the distributive property to open the parentheses
4*2a + 4*3 = -3*a -3*-1 + 31 - 11a
8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property
Combine like terms together
8a + 12 = 3 + 31 -3a - 11a
8a + 12 = 34 - 14a ---› Combining like terms
Add 14a to both sides
8a + 12 + 14a = 34 - 14a + 14a
22a + 12 = 34 ----› Addition property
Subtract 12 from both sides
22a + 12 - 12 = 34 - 12
22a = 22 ----› subtraction property of equality
Divide both sides by 22
22a/22 = 22/22
a = 1 ----› Division property of Equality
A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90° angles, what is the measure of the missing corner?
A clearance rack is marked as 60% off the regular price to be taken at the register. If a jacket on the clearance rack is marked $239.99, what will it ring up for at the register
Answer:
$399.98
Step-by-step explanation:
Given
Mark down percent = 60%
Mark down price = $239.99
Required
Original price of the rack
Let x be the original price of the product. The equation to get x is as expressed below;
60% of x = 239.99
0.6x = 239.99
x = 239.99/0.6
x = 399.98
Hence the rack will ring up for $399.98 at the register