Answer:
Only the second equation is an identity
Step-by-step explanation:
1)
[tex]1+\dfrac{\cos^2\theta}{\cot^2\theta(1-\sin^2\theta)}= \\\\\\1+\dfrac{\cos^2\theta}{\cot^2\theta(\cos^2\theta)}= \\\\\\1+\dfrac{1}{\cot^2 \theta}= \\\\\\1+\tan^2\theta=\sec^2\theta\neq 2\sec^2 \theta[/tex]
This one is not an identity.
2)
[tex]19\cos \theta\left( \dfrac{1}{\cos \theta}-\dfrac{\tan \theta}{\csc \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1-\sin^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta \left( \dfrac{\cos^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta (\cos \theta)= \\\\\\19\cos^2 \theta = 19\cos^2 \theta[/tex]
This one is an identity. Therefore, only the second equation is an identity. Hope this helps!
Answer:
the person above me is right :)
Step-by-step explanation:
Answer ASAP, please!!!!!! Will mark brainliest!!!!! 25 points!!!!!
Explain how the Distributive Property can be used to expand the expression on the left side of the equation.
3(x + 4) = 36.
A. Add 3 to each term inside the parentheses.
B. Subtract 3 from each term inside the parentheses.
C. Multiply each term inside the parentheses by 3.
D. Divide both terms inside the parentheses by 3.
Answer:
C
Step-by-step explanation:
The 3 is directly outside the parentheses, meaning you need to distribute the 3 to the x and the 4 because they are inside the parentheses. There is no addition, subtraction, or division involved in this so C is correct.
Answer:
C
Step-by-step explanation:
i took the test
(08.01 LC)
Find the circumference and area of a circle with a diameter of 10 inches. Leave your
answers in terms of pi.
O C = 51: A = 20
O C = 10; A = 20
O C = 10; A = 25T
O C = 5T; A = 2511
Answer:
Area = πr^2
= π * 5^2
= 25π
Circumference = 2πr
= 2 * π * 5
= 10π
Answer:
C= 10, A= 25
Step-by-step explanation:
d= 10 in
r= d/2= 5 in
C= 2πr= 2π*5= 10 π in
A= πr²= π*5²= 25 π in²
A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number.
A.0.714 B:0.727 C:0.778 D:286
Answer:
6/7
Step-by-step explanation:
Total number of jerseys = 4 + 3 = 7
Now, the probability of picking a purple Jersey = number of purple jerseys/total number of jerseys = 3/7
Now let’s look at picking a jersey with even number
Even number jerseys are yellow two and yellow four and also purple two
So we have 3 even numbered jersey. The probability of picking an even numbered jersey is 3/7
In probability, once we have or, we add
The probability of picking an even numbered jersey or a purple jersey = 3/7 + 3/7 = 6/7
I need help with this please!!
Answer:
The answer is Point A is equal to (8,0) and Point B is (26,-20) and point C would be (16,-16) and point D would be (8,-30)
Step-by-step explanation:
the value of 2(cos square 45 + tan square 60) is
Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
2(cos²45° + tan²60°)
= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )
= 2( [tex]\frac{1}{2}[/tex] + 3 ) ← distribute
= 1 + 6
= 7
Solve this equation 3x-1/5-2/9x=124/5 , simply by combining like terms, Which terms can be combined? Isolate the variable term by adding this value to both sides of the equation?
Answer:
x=9
Step-by-step explanation:
x in (-oo:+oo)
3*x-((2/9)*x)-(1/5) = 124/5 // - 124/5
3*x-((2/9)*x)-(1/5)-(124/5) = 0
3*x+(-2/9)*x-1/5-124/5 = 0
25/9*x-25 = 0 // + 25
25/9*x = 25 // : 25/9
x = 25/25/9
x = 9
Answer:
1/5
Step-by-step explanation:
i got it right
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
f = 3
f = 4
f = 5
f = 6
Answer:
f = 3Step-by-step explanation:
Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;
From the trigonometry identity, sin(90-theta) = cos theta.
cos(22f-1) = sin (90-(22f-1))
cos(22f-1) = sin (90-22f+1)
cos(22f-1) = sin (91-22f)... 3
substituting eqn 3 into the original equation given, we will have;
sin (91-22f) = sin(7f + 4)
91-22f = 7f+4
7f+22f = 91-4
29f = 87
f = 87/29
f = 3
A correct option is an option (a)
Given function is,
[tex]cos(22f-1) = sin(7f + 4)[/tex]
As we know the relation,
[tex]cosx=sin(90-x)[/tex]
Now, apply the above relates to the given function.
[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]
So, the required value is [tex]f=3[/tex]
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Can someone teach me how to do this
What is the value of the angle marked with x
Answer:
50
Step-by-step explanation:
opposite angles are equal so 50 is corresponding with x
Answer:
x = 50
Step-by-step explanation:
Parallelogram have opposite sides parallel and equal in length. The opposite angles are equal.
x = 50
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz
Answer:
Multiply 8 and 3
Step-by-step explanation:
6+ (-5-7/2) -8(3)
Using the order of operations
BODMAS
•BRACKET
•OFF
•DIVISION
•MULTIPLICATION
•ADDITION
•SUBTRACTION
The first step is to deal with the bracket
Which is
6+(-5-7/2)-24
Next is solve the next parenthesis
6+(-12/2)-24
Next
6+(-6)-24
Next
6-6-24
= -24
Answer:
A is correct answer
Step-by-step explanation:
What is the solution set of -|-x| = -12
Answer:
{-12,12}
Step-by-step explanation:
-|-x| = -12 multiply both sides by -1
|-x| = 12 apply rule for solving absolute value equations
-x = 12 and -x = -12 solve
x = -12 and x =12
Find the volume of a right circular cone that has a height of 6.5 cm and a base with a
radius of 8.5 cm. Round your answer to the nearest tenth of a cubic centimeter
Answer:
491.8cm
Step-by-step explanation:
v=1/3*π*r^2*h
v=1/3*π*8.5^2*6.5
491.8
Answer:
491.8
Step-by-step explanation:
i did the question it was right
work out the area of this circle when its the diameter 9m take pie to be 3.142 and give your answer to 2 decimal places.
3.142*4.5²=63.6255
Answer=63.63
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
If Colin tosses a normal die from a board game, what is the probability that the result will be prime?
A. 2/3
B. 5/6
C. 1/2
D. 1/6
Who is the dictator of USSR
Answer:
No. Leaders Date of death
1 Vladimir Lenin January 21, 1924
2 Joseph Stalin March 5, 1953
3 Georgy Malenkov January 14, 1988
4 Nikita Khrushchev September 11, 1971
Step-by-step explanation:
The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?
Answer:
18 x, 36y.
Step-by-step explanation:
18x, 36y.
The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?
So y: 2x (since its double the x)
So
2x = 4x - 36
Doing the math....
18x. since y= 2*x, 36y.
(I got help for this one, credits to jess :) )
hope this helps! :)
The value of X is 18.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of X and Y = 1 : 2
This means,
X/Y = 1/2
X = x
Y= 2x
Now,
y = 4x - 36
From (2),
2x = 4x - 36
36 = 4x - 2x
36 = 2x
x = 18
Now,
From (1),
X = x = 18
Thus,
The value of X is 18.
Learn more about ratios here:
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Which of the following are like terms?
12x
A
-8
3x2
15x
-X
x
Answer:
12x, 15x, -x, and x are like terms.
Step-by-step explanation:
These are terms that can be combined together in equations because they are multiplied by the same term or they are integers, etc. (BTW, I'm not sure if 3x2 means 3 times 2 or 3 times x times 2, if it is 3 times x times 2, then that is also a like term!)
Answer:
12x
15x
-x
Included whole page!
☆
EDGE2022; Good Luck :3!!!
help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)
Answer: [tex]y=\frac{1}{4} x-5[/tex]
Step-by-step explanation:
Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:
[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]
Notice how I plugged in the points given.
If 8=−3r+7r, then r= [blank] −−−−−−.
Answer:
[tex]r = 2[/tex]
Step-by-step explanation:
[tex]8 = - 3r + 7r \\ 8 = 4r \\ 4r = 8 \\ \\ r = \frac{8}{4} \\ \\ r = 2[/tex]
7. A shopkeeper buys 300 identical articles a tota
cost of $1500. He sells 260 articles at a price
20% above the cost price Each of the remain
anicles is sold at a price that is 50% of the si
price of each of the 260 articles Express the
shopkeeper's profit as a percentage of his cost price?
Answer this Q. so that i will mark u as tge brainliest!
Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
2y/5y cube + 4y square + 6y
Answer:
here down is the answer
(2y/5y)^3+4y^2+6y
8y^3/125y^3 +16y^2+6y
8/125+16y^2+6y
8/125+16y^2+6y=0
16y^2+6y+8/125=0
it is in the form of quadratic equation
formula :
x=(-b+-square root of b^2-4ac) /2a
here a=16,b=6&c=8/125
x=(-b+-square root of b^2-4ac)/2a
x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation
x=(-6+-31.91)/2
so
x=(-6+31.91)/2 first (+);
x=25.91/2
x=12.955;
x=(-6-31.91)/2 then(-);
x=-37.91/2
x=-18.955 ;
ans is = 12.955&-18.955;
Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form
A) 2x -y= -2
B) -2x -y= -22
C) -2x +y= -8
D) -2x +y=-2
Answer:d
Step-by-step explanation on ed
Evaluate cos2θ for cosθ = .
Double angle identity:
[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]
If you know [tex]\cos\theta[/tex], just plug it in.
Can someone please help me to finish this up and I don’t know
Answer:
This is an enlargement.
Step-by-step explanation:
This is an enlargement.
A reduction would be smaller
A rotation would be changing the angle and a reflection would be a mirror image
anyone good at maths who can help me?
brainiest will be given, THANK YOU!!!
Answer:
Step-by-step explanation:
83% of 408:
83/100 x 408 = 338.64 pounds
41% of 53 :
41/100 x 53 = 0.41 x 53 = 21.73 kg
97% of 345m:
0.97 x 345 = 334.65
please mark brainiest
83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find
a)83% of 408 pounds
Firstly we need to convert 83% to decimal by dividing with 100.
83/100=0.83
Now multiply 0.83 with 408
0.83×408=338.64
b)41% of 53 kg
Firstly we need to convert 83% to decimal by dividing with 100.
41/100=0.41
Now multiply 0.41 with 53
0.41×53=21.73
c)97% of 345m
Firstly we need to convert 97% to decimal by dividing with 100.
97/100=0.97
Now multiply 0.97 with 345
0.97×345=334.65m
Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
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Geometry
Find a:
Fill in the blank
Answer:
a=15
Step-by-step explanation:
[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]
Hope it helps
What is the product? 3x^5(2x^2+4+1)
Answer:
[tex]6x^{7} +15x^{5}[/tex]
Step-by-step explanation:
[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])
Multiply [tex]3x^{5}[/tex] by each term in the parentheses.
[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]
Now, all you have to do is simplify.
[tex]6x^{7} +15x^{5}[/tex]
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To figure out if something is increasing or decreasing, you must read the graph from left to right. If it appears to be going down, then it is decreasing. When it appears to be to be going up, it is increasing. For both A & B, the graph is decreasing. When you look from when the x-values are between 2.5 and 3.5, you can see the line going down. That means it is decreasing.
I hope this helps!
The Jacobson family drove 240 miles miles in 6 hours. If you graph their trip with hours on the X axis and miles on the Y axis, what will be the slope of the line?.
Answer:
40 mph
Step-by-step explanation:
Recall that the slope of this line is also the speed at which the car was driven, and that, in turn, is:
240 miles
------------------- = 40 mph
6 hrs
Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial -16t^2+50t+3, where t is the time in seconds. How high is the ball after 3 seconds?
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
[tex]h(t) = -16t^2+50t+3[/tex]
where t is the time in seconds.
After 3 seconds, t = 3:
[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]
The height of the ball after 3 seconds is 9 feet.
Given the equation y = 2x - 8, what is the slope and the y-intercept? A.) m = 8 and b = 2 B.) m = 2 and b = 8 C.) m = 2 and b = -8 D.) m = -8 and b = 2
Answer:
C.) m = 2 and b = -8
Step-by-step explanation:
Generally:
In an equation of the form y = mx + b
the slope is m
the y-intercept is b
In our equation y = 2x - 8 = 2x + (-8)
then
m = 2 and b = -8