Answers
We need to simpify the given expression. The given expression to us is ,
Given Expression :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]
Using Identity :-
[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]
So that :-
[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]
We have :-
[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]
Hence the required answer is -1/4.
Related Questions
Help please please help me I really really need help
Answers
Answer:
(-3, -2)
Step-by-step explanation:
To find the solution of two functions, you need to know at which x and y value they are equal. So solve for x and y when 1/3x - 1 = 2x + 4
1/3x - 1 = 2x + 4
First, subtract 2x from both sides.
-5/3x - 1 = 4
Add one to both sides.
-5/3x = 5
Multiply both sides by the reciprocal of -5/3 (3/-5)
x = -3
Then, substitute x into one of the equations to get y.
1/3(-3) - 1
-1 - 1 = -2
So drag the dot to the point (-3, -2)
find the value of x in the triangle shown below 4 9
Answers
Answer:
the answer is 65
Step-by-step explanation:
hopes this helps :)
7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?
Answers
Answer:
27
Step-by-step explanation:
Boys to girls is 2:3
and there are 18 boys so that means the 2 in 2:3 is actually 18
and 2 x 9 = 18 , so you would need to also multiply 3 by 9.
3 x 9 = 27
18:27
there are 27 girls
Find the mean of the picture below?
Answers
samuel can do 9 word problem s in 25 minutes at this rate about how many word problem can he do in 42 minutes
Answers
Answer:
15 word problems
Step-by-step explanation:
Given that
Samuel can do 9 word problems in 25 minutes
So we need to find out how he can do the word problems in 42 minutes
The calculation is given below;
= 9 × 42 minutes ÷ 25 minutes
= 15.12
= 15 word problems
Hence, the same would be considered and relevant
What is the range of y= x + 2?
Answers
Answer:
A) all real numbers greater than or equal to 2
Domain: [tex]x\geq 0[/tex]
Step-by-step explanation:
The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.
Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.
25 p ² + 70p+49=0
Answer please
Answer please
Answers
Step-by-step explanation:
25 p² + 70p +49=0
(5p + 7)(5p + 7) = 0
(5p + 7) =0
5p = -7
so, P = -7/5
Can someone help me with this?
Answers
Answer:
d and e
Step-by-step explanation:
a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у
Answers
Step-by-step explanation:
Given equation is x+y=6
Table:-[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?
Answers
Answer:
[tex]t=3.142sec[/tex]
Step-by-step explanation:
From the question we are told that:
Speed of ball [tex]V=35m/s\approx 80 mph[/tex]
Length of field [tex]l=110m[/tex]
Generally the equation for Time taken [tex]t[/tex] is mathematically given by
[tex]t=m/V[/tex]
[tex]t=110/35[/tex]
[tex]t=3.142sec[/tex]
[tex]t \approx \frac{3.142}{60}[/tex]
[tex]t \approx 0.05hrs[/tex]
Therefore it will take the ball to get from one end of the field to the other
[tex]t=3.142sec[/tex]
Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5
Answers
Explanation:
The square root of 7 is 2.6 .
PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *
Answers
Answer:
please apply the formula of distance
l think but not sure
Find the mean, median, and interquartile for the data set below.
17, 23, 8,5,9,16, 22, 11, 13, 15, 17, 18
Answers
Answer:
The Mean 14.5 and the Median is 15
Step-by-step explanation:
For the Mean you just add all the numbers up and divide on how many you have. And the Median the middle
Answer:
Below in bold.
Step-by-step explanation:
First arrange in ascending order:
5 8 9 11 13 15 16 17 17 18 22 23
Median = mean of the middle 2 values = (15+16)/2 = 15.5.
Mean = Sum of all the values / 12 = 174/12 = 14.5.
Interquartile range = upper quartile - lower quartile = 17 - 11 = 6.
A piece of string is 325 centimeters long. You need the string to be 1 and 1 and 4 meters long. How many centimeters should you cut off?
Answers
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?
Answers
Answer:
The image of the given points after the translation is;
(-1,13) , (-2,9) and (-1,-2)
Step-by-step explanation:
By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value
so for (-1,8); it will become (-1, 8 + 5) = (-1,13)
for (-2,4); it will become (-2,4 + 5) = (-2,9)
for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)
find 18.2% of 25000
please and fast I'm in assessment
Answers
Answer:
4550
Step-by-step explanation:
Answer:
Step-by-step explanation:
18.2% of 25000 = 4550
What is the probability of spinning a number greater than 4 or an odd number?
Answers
Answer:
3/5 will be greater than 4 while 1/2 will be an odd number.
A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?
Answers
Answer: 12 days
Step-by-step explanation:
Given
A community pool charges $78 for a swim lesson and $2 for a towel each day
Suppose Yolanda attended the session for x days
So, we can write the total fees of $102 as
[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]
So, Yolanda attended the swim lessons for 12 days
SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.
Answers
Answer:
TQ=SR [since it is isosceles trapezoid]
6x+1.2=9x-48
48+1.2=9x-6x
3x=49.2
x=49.2/3=16.4
now
QR=3×16.4+2.5=51.7
SR=9×16.4-48=99.6
ST=4×16.4-2=63.6
TQ=6×16.4+1.2=99.6
As it's isosceles trapezoid
QT=RS9x-4.8=6x+1.23x=6x=2Now
QR=3(2)+2.5=8.5
RS=9(2)-4.8=13.2
ST=4(2)-2=6
QT=6(2)-1.2=10.8
PLSS HELP: Find the value of w
Answers
Answer:
[tex] \frac{9}{w} = \frac{15}{5} \\ w = 45 \div 15 = 3[/tex]
find the area of the shaded regions. give the answer as a completely simplified exact value in terms of pi (no approximations)
Answers
Answer:
a = 40π
Step-by-step explanation:
a = (∅/360) * πr²
a = (144/360) * π(10)²
a = 40π
On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?
Answers
Answer: 50 degrees
Step-by-step explanation:
36 - - 14
36 + 14 = 50
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9. What percentage of the item price is the restocking fee?
Answers
Answer:
6%
Step-by-step explanation:
for this is divided the fee by the price of the item.
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answers
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
how many ways can you arrange 28
Answers
Answer:
In 6 ways 28 can be arranged
Step-by-step explanation:
1 × 28 = 28
2 × 14 = 28
4 × 7 = 28
7 × 4 = 28
14 × 2 = 28
28 × 1 = 28
Thus, In 6 ways 28 can be arranged
-TheUnknownScientist
Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5
Answers
Answer:
3rd option is correct
Step-by-step explanation:
:)
The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Vertex form of an equation
Given the expression [tex]f(x) = x^2 + x +1[/tex]
The vertex form is expressed as shown below:
[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]
Express the result in vertex form.
[tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Learn more on vertex form here: https://brainly.com/question/525947
ANSWER plsssssssssssssssssssssssss!
Answers
Answer:
503
Step-by-step explanation:
PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
What is 12.57 Rounded to the nearest hundredth?
Answers
Answer:
12.60
Step-by-step explanation:
give brainliest and 5 star and thank!
Find the area. Simplify your answer
Answers
Answer:
man you still have to use IXL
Step-by-step explanation:
What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?
Answers
Answer:
Step-by-step explanation:
2006053?
Answer:
2,000 + 600 + 50 + 3 = 2,653
Step-by-step explanation: