The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.
We have the expression:
[tex]\rm \frac{cos \theta}{sin \theta}[/tex]
we know that
[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]
also,
[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]
So, By using these trigonometry formulas, we get:
[tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]
Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex] is cot [tex]\theta[/tex].
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Answer:
D. cot 0
Step-by-step explanation:
What is a solution to 3x-26/7=-5/x if x/= 0
Answer:
Step-by-step explanation:
The cost of pool service includes labor and supplies. labor is 80% of the total cost. the cost of labor for a certain pool service is $220.
what is the total cost of the pool service?
enter your answer in the box
Answer:
I know im late but the answer is 275 I just took the test on k-12
Step-by-step explanation:
Jennie was collecting bugs for a school science project. She measured
each one in inches and wrote their lengths below.
1 1 8 3 14
12 3 2 36
18 30
5
Which list shows the lengths in order from least to greatest?
5
A.
1
3
3
18
8
36
14
30
2.
B.
3
18
8
36
1
3
듬
12
30
2
C,
14
30
3
18
8
36
1
3
2
12
D.
8
36
14
30
2
18
12
Please help! W/ work pls due at 8 am! It’s 6:14
Answer:
c. b. a.
Step-by-step explanation:
yan po sagot sana po makatulong ito lang po alam ko ehh
hi, i am struggling to find this algebra 2 answer can anyone help? ill give you whatever u want
Answer:
Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]
Answer:
-9(1+x)
-------------
(x-7)(x+7)=0
Step-by-step explanation:
We use factorisation of quadrats
Mr. Alexander was traveling home from a business
trip. A taxi driver took him from his hotel room to a
bus station that was 18 miles away. The taxi traveled at an average rate of 60 miles an hour.
Mr. Alexander waited 15 minutes at the bus station
before leaving on a 178-mile bus ride.
Mr. Alexander's trip took a total of 5 hours from the time he left the hotel to the time the bus arrived at its destination. At
what average rate did the bus travel? Explain or show calculations to support the answer.
Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:
[tex]t = 4 + \frac{27}{60} = 4.45[/tex]
Hence, the velocity is given by:
[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]
The bus traveled at a rate of 40 miles per hour.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
answer this and i will never forget about you. ever.
Answer:
(B) 70.5
Step-by-step explanation:
During the first second the acceleration is 2, and the distance is 2
During the second second the acceleration is 5, and the distance is 4.5
During the third second the acceleration is 4, and the distance is 9
During the last 5 seconds the acceleration is 0, velocity is 11 and the distance is 55 m
2 + 4.5 + 9 + 55 = 70.5 (B)
can y’all help me? it’s gradpoint! will give brainliest answer!!
Answer:
f(0) = 1
Step-by-step explanation:
when x = 0 then 0 ≤ x < 2 at x = 0 then f(0) = 1
Find the unknown angle measurement
Answer:
65
Step-by-step explanation:
115 + x = 180
x = 180 - 115
x = 65
Answer:
65°
Step-by-step explanation:
A right-angle equals 90°. Two right angles would be a line like shown in the picture.
So, 90 + 90 = 180.
Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.
180 - 115 = 65
Therefore, 65° equals x.
-kiniwih426
Rewrite x^2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4
y^3+2y^2+12y+16=28
I really need a step by step explanation because I want to understand. Thank youuuuu! Branliest for explanation :)
Answer:
[tex]y = 0.835193[/tex] (use the '≈' )
Step-by-step explanation:
[tex]y^3+2y^2+12y+16=28[/tex] (original equation)
[tex]y^3+2y^2+12y+16 - 28 =28 -28[/tex] (subtract 28 from both sides)
[tex]y^3+2y^2+12y-12=0[/tex] (new equation)
then use the cubic formula (i don't really know how to explain the process through a screen. I'm sorry! Hopefully, this helps enough though)
2 inches 5 inches and 1/4 inches
Answer:
7 1/4 inches
Step-by-step explanation:
Combining 2 and 5 inches, we get 7 inches.
Combining 7 inches and 1/4 inches, we get 7 1/4 inches.
Answer: 7.25 inches
2+5= 7 inches
1/4=0.25
7+0.25 = 7.25 inches :)
Which inequality statement describes the two numbers: -22 and a number 47 units to the right of -22?
Answer:
D) -22 < 25
Step-by-step explanation:
If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.
47 units right from -22 is the same as: -22 + 47, which equals 25.
So, we can conclude that -22 < 25 is the inequality.
hope this helps!
Emma has a round trampoline with a diameter of 2 yards. What is the trampoline's radius?
yards
Answer:
You know the radius is 1/2 of the diameter.
You can simply do 2/2 which is ONE.
The radius of the trampoline with a diameter of 2 yards will be 1 yard.
What is the radius?The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.
The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,
Radius = Diameter / 2
Radius = ( 2 ) / 2
Radius = 1 yard
Therefore, the radius of the circle will be 1 yard.
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Find the length of a path that runs diagonally across a 20-yard by 50-yard field
Answer:
c = 53.85 or 54
Step-by-step explanation:
Whats the answer ? I need help as soon as possible!
Answer:
the answer is
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
1. 91/5 + 112/5 + 201/5
2. denominators are the same
3. 404/5
To the nearest whole percent, what is the value of a in the relative frequency table for the survey results? a = 27% a = 42% a = 81% a = 88%
Answer:
a=27%
Step-by-step explanation:
-lukelaws
tell me if it helped
Answer:
A
Step-by-step explanation:
Equals 27 percent
I took the test and go it right
Verify the following statements and name the property.
A- -6+(+2)
B- 19+(-2)=(-2)+19
C- -7+(-2)
[tex] - 6 - 2[/tex]
[tex] = - 4[/tex]
commutative property.
B- 19+(-2)=(-2)+19[tex] 19 - 2[/tex]
[tex] = 17[/tex]
commutative property.
C- -7+(-2)[tex] - 7 - 2[/tex]
[tex] = - 9[/tex]
closure property.
Six right triangles are shown. Each side of each triangle is also the side of a square.
The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².
What is the area of square?Area of square is the square of its sides length. It can be given as,
A=a^2
Here, (a) is the length of the side of the square
The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,
[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]
The area of small squares with side 1 is,
[tex]A=1^2\\A=1 \rm \;unit^2[/tex]
Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.
The hypotenuse side length of this triangle is,
[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]
Thus, the area of the square with √2 side is,
[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]
Similarly, the area of all the squares and triangle with the different sides can be found out.
Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².
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Given the function f(x)=3-2x^2, find k such that f(k)=-3
Answer:
k = ±√3
Step-by-step explanation:
Given :
f(x) = 3 - 2x²f(k) = -3To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.
⇒ 3 - 2x² = -3⇒-2x² = -6⇒ x² = 3⇒ x = ±√3We already set a relation before, which is :
x = kTherefore, k = ±√3Identify the percent of change as an increase or decrease 15 ounces to 5 ounces
Answer:
it us 67%
Step-by-step explanation:
:))))))) good luck
Explain how you know 3⁴=9² without calculating the values.
Answer:
See below
Step-by-step explanation:
[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]
Answer:
think of it like this
Step-by-step explanation:
whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's
Now we got 3^4 how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same
basically you are multtiplying the left side to get the same number on the right because it tells you they are even
In a class of 10 students, what is the mean and standard deviation of the number with 20-20 vision in the class
Please help,how to do this
Factor out the greatest common factor from the following polynomial.
Answer:
i pretty sure its 6
8x
Step-by-step explanation:
i did the research
Here
Common part is 8 and x⁶
Now
Factor out
8x⁶(x²-3x+8)GCF=8x⁶
define the volume of 30 cm 24 cm 52 cm
Answer:
37,440
Step-by-step explanation:
To find volume the formula is : Length x Width x Height... So 30 x 24 x 52 = 37, 440
:D
HURRY I GOT ONLY 1 MIN!!!!
How are a cylinder and a prism similar?
They both have lateral faces.
They both have vertices.
They both have two bases.
They both have polygon bases.
Answer:
They both have polygon bases
Step-by-step explanation:
Hope this helps :)
Solve the following linear inequalities given in the first column and choose the appropriate results
Answer:
[tex]g\geq 17[/tex]
[tex]g > -10[/tex]
[tex]g > -1[/tex]
Step-by-step explanation:
[tex]7(g-19)\geq -14[/tex]
Divide both sides by 7:
[tex]g-19\geq -2[/tex]
Add 19 to both sides:
[tex]g\geq 17[/tex]
[tex]3(7g+17) > -19+14g[/tex]
Expand brackets:
[tex]21g+51 > -19+14g[/tex]
Subtract 14g from both sides:
[tex]7g+51 > -19[/tex]
Subtract 51 from both sides:
[tex]7g > -70[/tex]
Divide both sides by 7:
[tex]g > -10[/tex]
[tex]6(-6g+6) > -2(19g-17)[/tex]
Expand brackets:
[tex]-36g+36 > -38g+34[/tex]
Add 38g to both sides:
[tex]2g+36 > 34[/tex]
Subtract 36 from both sides:
[tex]2g > -2[/tex]
Divide both sides by 2:
[tex]g > -1[/tex]
An African bush elephant weighs 5½ tons. How many pounds does this elephant weigh?
HELP GUYS!
Answer:
11000 pounds
Step-by-step explanation:
1 US ton=2000 pounds
multiply the mass value by 2000
5.5ton x 2000pound
=11000pounds
The formula for the volume of a cylinder is V=pi * r^2 * h.
Solve the formula for r
Answer:
Step-by-step explanation:
Remark
What you want to do is get r on one side of the equal sign and everything else on the other.
Givens
V = pi r^2 h
Solution
Divide by pi
V/pi = pi r^2 h/pi
V/p = r^2 * h
Divide by h
V / h pi = r^2 h / h Cancel h on the right side. Turn equation around
r^2 = V / h pi
Take the square root of both sides
√r^2 = √(V / h pi )
r = √ (V / h pi)
Answer r =√ (V / h pi)
A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870