Answer:
cos(3π/4) = -√2/2
Step-by-step explanation:
According to the unit circle, the exact value of cos(3π/4) is -√2/2.
The exact value of cos 3π/4 is - 1/√2
Here we have to find the exact value of
cos 3π/4
Since we know that,
The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.
We can write,
cos 3π/4 = cos(π/2 + π/4)
Since we know that,
cos(π/2 + θ) = - sin θ
Therefore,
⇒ cos(π/2 + π/4) = - sin π/4
= - 1/√2
Hence,
⇒ cos 3π/4 = - 1/√2
To learn more about trigonometric ratios visit:
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A chain weighs 10 pounds per foot. How many ounces will 3 inches weigh?
Answer:
40 ounces
Step-by-step explanation:
One foot = 12 inches
3 inches is 1/4 of a foot
Divide 10 pounds by 4 to get 2.5 pounds
Convert to ounces
A number pattern was created by dividing the previous term by 4. If the starting value for the pattern was 576, which of the following shows the resulting pattern?
A.
576, 144, 72, 9...
B.
576, 144, 36, 9...
C.
576, 144, 72, 5...
D.
576, 144, 36, 5...
Answer:
The answer is B!!!!!!!!!!!!
If quadrilateral A’B’C’D’ = DK (ABCD), which of the following statements are true?
Select all that apply. (Hint: Draw a picture)
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1.
The corresponding side lengths are related by AB = k(A'B')
The corresponding side lengths are related by k(CB) = C'B'.
Answer:
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The corresponding side lengths are related by k(CB) = C'B'.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.
a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.
c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).
d) C'B' = k(CB)
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
2/3
Step-by-step explanation:
Gradient of line
= (y1-y2) /(x1-x2)
= (3-(-1))/(4-(-2))
= (3+1)/(4+2)
= 4/6
= 2/3
I’ll mark brainliest
Answer:
D
Step-by-step explanation:
Hi there!
We're given the equation y=-75x-50, which represents a submarine DESCENDING towards the ocean floor, where y is the depth in feet, and x is the number of minutes the submarine is descending
Since the submarine is DESCENDING, we can immediately eliminate A and C, which talk about the submarine ASCENDING
That leaves B and D
Looking at the given equation, y=-75x-50, -75 is the slope, or rate of change, and -50 is the y intercept, or the "beginning" (where the equation will "start")
Therefore, the submarine will start at -50 feet, or 50 feet below sea level
As x is the number of minutes the submarine is descending, that means that if the submarine travels 1 minute, it will descend 75 feet (-75*1=-75), at 2 minutes, it'll descend 150 feet (-75*2=-150), and so on
So that means the submarine must be descending at a rate of 75 feet per minute
Therefore D is the correct answer
Hope this helps! Good luck on your assignment :)
Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.
Answer:
7.8 feet
Step-by-step explanation:
We can determine the Horizontal distance using trigonometry ;
Using the relation :
Cosθ = adjacent / hypotenus
Cos 61 = x / 16
x = cos 61 * 16
x = 0.4848096 * 16
x = 7.756
x = 7. 8 feet
Find the volume of the composite figure.
someone please help! (listing BRAINLIST and giving points) :D
Answer:
opp/adj
havent u pay attention in ur math class?
you will have to find the opp using a^2+b^2+c^2
Step-by-step explanation:
I hope this is help full to you
Consider two countries, A and B, whose respective industries produce goods A and B. Total world output of the good is given by Q = 9A + 9B. There is a world demand given by P = 100 – Q. Suppose that the cost function for country A is given by cA (CA) = 89 A while the cost function in country B is given by CB(9B) = 398. The production of the good generates greenhouse gas emissions which cause global climate change. Total world emissions are 0.5 per unit of good, such that total world emissions are 0.5Q. If the two countries' industries compete in a Cournot fashion, what will the total world emissions be? Now suppose country A imposes a tax on A's production of A to curb emissions. Country B, however, is not taxed. A's cost function is now CA(CA) = 492A, while B's cost function is CB(9B) = 493. World demand is P = 99 – Q. The amount of greenhouse gas emissions per unit is still 0.5, such that total world emissions are given by 0.5Q.
What are total world emissions after country A enacts a carbon tax?
Answer: hello your question is poorly written attached below is the complete question
answer :
a) 31.5
b) 24.5
Step-by-step explanation:
Total world output of good given ( Q ) = qA + qB
world demand ( P ) = 100 - Q
cost function for country A = cA (qA) = 8qA
cost function of country B = cB(qB) = 3qB
total world emission = 0.5Q
emission per unit good = 0.5
a) Determine total world emissions when both countries compete in a Cournot fashion
Q = 63
therefore Total world emission = 0.5 ( Q )
= 0.5 ( 63 ) = 31.5
attached below is the detailed solution
b) Determine the total world emissions after Country A enacts a carbon tax
Q = 49
Therefore Total world emission after tax = 0.5 ( Q )
= 0.5 ( 49 ) = 24.5
attached below is the detailed solution
convert 6 miles to meters
Answer:
9656.06 meters
Step-by-step explanation:
Find the surface area of the regular pyramid.
which statement is true?
5 more than the quotient of 3 and t
Answer and Step-by-step explanation:
[tex]\frac{3}{t}[/tex] + 5
Above is the answer.
#teamtrees #PAW (Plant And Water)
2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
Q3:
Median:
IQR:
QI:
Outliers:
Answer:
51
Step-by-step explanation:
ascending order. 38,41,42,47,48,51,72,74,74,77,129. n/2= 12/2= 6 +1= 7 median 51
T
55
R
45
Find Q.
A. 40°
B. 80°
C. 130°
D. 260°
Answer:
B. 80°
Step-by-step explanation:
55+45=100
180-100=80
Q=80°
which expression is equivalent to 4 to the 4th power * 4 to the negative 9th power
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
[tex]4^{13}[/tex]
Hope this helps!
HELP ME ON THIS I HAVE MORE.
Answer:
The answer is 5 units.
Step-by-step explanation:
I just counted the squares
Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days. In how many days can
all three of them achieve the sales target together?
Answer:all three of them achieve the sales target together in 120 days.
Step-by-step explanation:
Given: Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days.
Then, the number of days taken by all of them to achieve the sales target together = [tex]\dfrac1{30}+\dfrac{1}{40}+\dfrac{1}{60}[/tex]
[tex]=\dfrac{1}{120}[/tex] [LCM(30,40,60)=120]
Thus, all three of them achieve the sales target together in 120 days.
Simplify the expression
[tex](x + 7)( x - 2)[/tex]
Answer:
x²+5x-14
Step-by-step explanation:
For this equation, you want to use FOIL (multiply first terms, then outside terms, then inside terms, then last terms) to expand the brackets.
This gives x×x+x×-2+x×7+7×-2, which simplifies to x²-2x+7x-14, and further to x²+5x-14.
**This content involves expanding quadratics with FOIL, which you may wish to revise. I'm always happy to help!
Georgia, a florist, charges $7.95 per flower bundle plus a $12 delivery charge per order. If Charlie orders 8 flower bundles and has them delivered, how much does Georgia charge Charlie?
Answer:
75.6
Step-by-step explanation
HOPE I HELPED ;)
Marcia sells lemonade for $2 per cup and candy for $1.50 per candy bar. She earns $425 selling lemonade and candy bars. If Marcia sold 90 bars of candy, which equation could be used to figure out how many cups of lemonade she sold?
Answer:
145 cups of lemonade; 2x+1.50y=425, where y=90
Step-by-step explanation:
Let us first set up an equation, where x represents number of cups of lemonande, and y represents number of candy bars. We know that every cup of lemonade costs $2, every candy bar sold costs $1.50, and that Marcia sold a total of $425. We now have equation:
[tex]2x+1.50y=425[/tex]
However, we actually know how many candy bars Marcia sold. Therefore, our y value is 90. Let's rewrite the equation:
[tex]2x+1.50*90=425\\2x+135=425\\2x=290\\x=145[/tex]
Therefore, Marcia sold 145 cups of lemonade.
I hope this helps! Let me know if you have any questions :)
Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)
Can you Help Me I NEED ANSWER ASAP!!!
Answer:
see below
Step-by-step explanation:
Part A: (72)^x = 1
Take the log base 72 of each side
log72(72^x) = log 72(1)
We know log a^b = b log a
x log72(72) = log72(1)
x = log72(1)
x = 0
Part A: (70)^x = 1
Take the log base 70 of each side
log70(70^x) = log70(1)
We know log a^b = b log a
x log70(70) = log70(1)
x = log70(1)
x = 0
determine the value of a x1-3x3=-3 and 2x1+ax2-x3=-2 has no solution
Answer:
Step-by-step explanation:has no solution
Please help! 10 points!
What is the probability that a data value in a normal distribution is between a z-score of -0.18 and a z-score of 1.23? Round your answer to the nearest tenth of a percent. O A. 65.0% B. 55.3% C. 46.2% D. 84.3% SUBMIT
Answer:
C
Step-by-step explanation:
Zscore = - 0.18 ; Z = 1.23
To find the percentage :
P(Z< 1.23) - P(Z < - 0.18)
Using the Z probability calculator :
P(Z < - 0.18) = 0.42858
P(Z < 1.23) = 0.89065
0.89065 - 0.42858
= 0.46207
= 46.2%
Simplify the radical completely.
Answer:
D
Step-by-step explanation:
But basically, one by one you try moving the terms out of the radical.
75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.
x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.
y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.
Finally, z is just z it can't be taken out so it stays inside the radical.
Hope that helps!
Get brainiest if right!!
10 points!!
Answer:
Next three terms 0.28, 0.41 and 0.54
The formula for the nth term of an AP is a+(n-1)d
What is the volume of a rectangular prism
8 inches long, 3 inches wide, and 5 inches high?
A
120 cubic inches
B
220 cubic inches
16 cubic inches
158 cubic inches
Answer:
A; 120 cubic inches
Step-by-step explanation:
Let us start with the formula of the volume of a rectangular prism,[tex]V=l*w*h[/tex], where l represents the length of the prism, w represents the width of the prism, and h represents the height of the prism. It is given to us that h =5 inches, w =3 inches, and l =8 inches. Let's plug the values in:
[tex]V= 8*3*5\\V=120[/tex]
A. The volume of the rectangular prism is 120 cubic inches.
I hope this helps! Let me know if you have any questions :)
PLEASE HELP ASAP PLSSSSS !!!
Answer:
133 answer ---------------------------------------- helpful answer
I NEED HELP PLZ, PLZ, I NEED HELP, I AM BEGGING YOU
Answer:
tn = 8n -7
Step-by-step explanation:
given : t2=9, t4=25
the formula is:
tn = t1 + (n-1) d
gonna find d first:
d = (25-9) /(4-2) = 16/2 = 8
and find tn1:
t1 = 9-8 = 1
so, tn = 1 + (n-1) (8) = 1 +8n -8
tn = 8n -7
Answer:
Solution given
n th term[tn]=?
1st term =a
difference =d
we have
t2=9
a+(n-1)d=9
a+(2-1)d=9
a+d=9
a=9-d..................[1]
again
t4=25
a+(n-1)d=25
a+(4-1)d=25
now
substituting value of a
9-d+3d=25
2d=25-9
d=16/2
d=8
substituting value of d in equation 1.
,a=9-8
a=1
we have
tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7
n th term =8n-7
Please help me quickly, thank you
Step-by-step explanation:
P = 5x+2y
P = 5(3)+2(5) = 15+10 = 25 meters
x = 3/25 ×32 = 96/25 = 3.84 meters
y = 5/25 × 32 = 6.4 meters
P = 5x+2y
P = 5(3)+2(5) = 15+10 = 25 meters
x = 3/25 ×32 = 96/25 = 3.84 meters
y = 5/25 × 32 = 6.4 meters