=============================================
Explanation:
The original equation is in the form a+b = 1, where
a = sin(theta)
b = cos(theta)
Square both sides of a+b = 1 to get
(a+b)^2 = 1^2
a^2+2ab+b^2 = 1
(a^2+b^2)+2ab = 1
From here notice that a^2+b^2 is sin^2+cos^2 = 1, which is the pythagorean trig identity. So we go from (a^2+b^2)+2ab = 1 to 1+2ab = 1 to 2ab = 0 to ab = 0
Therefore,
sin(theta)*cos(theta) = 0
Answer:
sin ∅ cos ∅ = 0.
Step-by-step explanation:
(sin∅+cos∅)^2 = 1^2 = 1
(sin∅+cos∅)^2 = sin^2∅ + cos^2∅ + 2sin ∅ cos ∅ = 1
But sin^2∅ + cos^2∅ = 1, so:
2sin ∅ cos ∅ + 1 = 1
2 sin ∅ cos ∅ = 1 - 1 = 0
sin ∅ cos ∅ = 0.
Angle A is circumscribed about circle O. What is the measure of angle O? 46
Answer:
m<O = 134°
Step-by-step explanation:
OC = OB = radius of the circle
AC = AB = tangents of circle O
m<C = m<B = 90°. (Tangent and a radius always form 90°)
m<A = 46°
Therefore,
m<O = 360° - (m<C + m<B + m<A) => sum of angles in a quadrilateral.
m<O = 360° - (90° + 90° + 46°)
m<O = 360° - 226°
m<O = 134°.
Measure of angle A = 134°
[tex]x - \frac{3\\}{8} = \frac{13}{2}[/tex]
X - 3/8 = 13/2
Add 3/8 to both sides:
X = 13/2 + 3/8
Rewrite 13/2 to have 8 as the denominator:
13/2 x 4 = 52/8
X = 52/8 + 3/8
X = 55/8
Answer:
55/8
Step-by-step explanation:
Add 3/8 to both sides
X - 3/8 = 13/2
X = 13/2 + 3/8
make sure the denominators are equal so we can add. so multiply 4/4 by 13/2 and that equals 52/8
X = 52/8+3/8
X= 55/8
find 5 rational numbers between -3 and -4
Answer:
-3.2, -3.4, -3.6, -3.8, -3.9
Step-by-step explanation:
Hey there!
Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.
So rational numbers between -3 and -4 are,
-3.2, -3.4, -3.6, -3.8, -3.9
Hope this helps :)
For example:
-3.5
-3.0040012
-3.(91)
-3.70(77)
-15/4
Plz help me ASAP plz
Answer:
3
Step-by-step explanation:
RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!
Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet. A triangle is created from point Bird Watcher, point First Bird, and point Second Bird. Angle First Bird is a right angle, and angle Second Bird measures x degrees. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth. 35.4° 44.7° 45.3° 54.6°
Answer:
Step-by-step explanation:
When you draw out that picture (and very good description, btw!) basically what you have is a right triangle that has a base of 32 and a hypotenuse of 45. The right angle is one of the base angles and x is the vertex angle. We need to find the vertex angle before we can find the angle of depression from the second bird to the watcher. The side of length 32 is opposite the angle x, and 45 is the hypotenuse, so the trig ratio we need is the only one that directly relates side opposite to hypotenuse, which is the sin ratio:
[tex]sin(x)=\frac{32}{45}[/tex] and
sin(x) = .711111111
Go to your calculator and hit the 2nd button then the sin button and on your screen you will see:
[tex]sin^{-1}([/tex]
and after that open parenthesis enter in your decimal .711111111 and hit equals. You should get an angle of 45.325. That's angle x. But that's not the angle of depression. The angle of depression is the one complementary to angle x.
Angle of depression = 90 - angle x and
Angle of depression = 90 - 45.325 so
Angle of depression = 44.67 or 44.7 degrees.
Answer:
Its 45.3!!!
Step-by-step explanation:
What is the perimeter of this polygon?
A(2, 3)
B(-4, 0)
C(0,-4)
D(4,0)
Answer:2,3 hope it help you
Step-by-step explanation:
Answer:
21.627
Step-by-step explanation:
get the distance between all points then add
How do you write The product of 2 and a cube of a number
ANSWER IS ATTACHED
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
an equation uses the symbol
Answer:
The '=' sign.
Step-by-step explanation:
The equals sign ( = ). for example:
3x + 1 = 8.
The equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.
the sum of two numbers is 20,one number is 4 less than the other.find the number
What is the degree of the monomial 5x^4? A. Degree 20 B. Degree 5 C. Degree 9 D. Degree 4
Answer:
Solution : Degree 4
Step-by-step explanation:
We only have one variable in this case, x. Therefore we can take the degree of this variable to be our solution, 4. As you can see x^4 will have a degree of 4, as that is the exponent present.
Find the value of x for which the lines p and q are parallel.
Answer:
7 is the answer..........
Answer:
x = 7 (C)
Step-by-step explanation:
So first we need to be able to know the value of 14x + 18. Which is 116 degrees. This is because it is corresponding to the angle labelled 116 degrees and corresponding angles are equal so:
14x + 18 = 116
14x + 18 - 18 = 116 - 18 Here you collect like terms then the equation will look like this:
14x = 116 - 18 116 - 18 = 98
14x = 98 Divide both sides by 14
14x / 14 = 98 / 14
x = 7 So your answer is 7.
HOPE THIS HELPED
What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6
Please give explanation
9514 1404 393
Answer:
13
Step-by-step explanation:
Let n represent that number.
(2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator
6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)
12 +6n = 25 +5n . . . . . . . . . eliminate parentheses
n = 13 . . . . . . . . . . . subtract 5n+12
Adding 13 to each term will give 5/6.
__
Check
(2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6
_____
Alternate solution
The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.
Now considering the real world situation are there any restrictions or changes you need to make for your domain or range to fit the situation described above? If so adjust your graph to represent these changes. Considering the real situations above (Question D.)
Answer:
Ok, we have the function:
y = 2gb*x + 3gb
Where x is the number of streams that you did.
You know that for this function, in a math view, the domain and the range are the set of all real numbers.
(Actually the domain should be integers, but i guess that if you only stream a 0.3534 of a movie and then you quit it, here only consumed 0.3534*2gb, so we can allow x to be a real number)
But in a "real situation", there are some other restrictions:
Restrictions for x:
You can never have a negative value for x (because this has no sense)
So the first restriction is x ≥ 0.
Then, there should be a maximum value of x (you can not stream 4 million things in one month). Or A may be the number of streams that you can watch until you reach the monthly limit of Gbs.
Then the domain is:
0 ≤ x ≤ A.
Now, the minimum of the range is defined by the minimum in the domain:
When x = 0, we have:
y = 2*0 + 3gb
So the minimum value in the range is 3gb.
y ≥ 3gb
And then the maximum value of the range will be when x = A
y = 2Gb*A + 3Gb
3Gb ≤ y ≤ 2Gb*A + 3Gb
9=m/3=4 please help!!
Answer:
Step-by-step explanation:
9 = m/3 + 4
5 = m/3
m = 15
Answer: m=15
Step-by-step explanation:
[tex]9=\frac{m}{3}+4[/tex]
subtract 4 on both sides
[tex]\frac{m}{3}+4-4=9-4[/tex]
[tex]\frac{m}{3}=5[/tex]
multiply 3 on both sides
[tex]\frac{3m}{3}=5\cdot \:3[/tex]
[tex]m=15[/tex]
Teenagers tend to ride skateboards and bicycles is order to get around the town.the probability of a teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a teenager is chosen at random, the probability that the teenager owns a skateboard or a bicycle is
Answer: 0.82
Step-by-step explanation:
Given : P(own skateboard) =0.37
P( own bicycle) =0.81
P(own skateboard and bicycle) = 0.36
Since, P(A or B) =P(A)+P(B)-P(A and B)
So, P(own skateboard or bicycle) = P(own skateboard) + P( own bicycle)-P(own skateboard and bicycle)
= 0.37 + 0.81 - 0.36
= 0.82
Hence, the probability that the teenager owns a skateboard or a bicycle is 0.82.
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 9090 kilograms and gained weight at a constant rate. After 8 88 months, he weighed 138 138138 kilograms.
THIS IS THE COMPLETE QUESTION BELOW;
young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 909090 kilograms and gained weight at a constant rate. After 888 months, he weighed 138138138 kilograms. Let W(t)W(t)W, left parenthesis, t, right parenthesis denote the sumo wrestler's weight WWW (measured in kilograms) as a function of time ttt (measured in months). Write the function's formula.
Answer:
W=6t+90
Step-by-step explanation:
We know that a linear equation in slope takes the form
y= mx+ c
where
m is the slope
c is the y-coordinate of the y-intercept
Let us denote W as the sumo weight in kg then
t as the time in months
Then forming a linear equation from this knowing t is a dependent variable then
W(t)= mt+90
But here we know that is our slope, W was given as 138kg and t is 8 months.
We we substitute this values in the equation we have
138= 8m+90
8m= 138-90
8m=48
m=6kg/month
Therefore, the function formula is W(t)= 6t+90
A shop sells DVDs and CDs.
DVDs are sold at one price.
CDs are sold at a different price.
2 DVDs and 1 CD cost £35
2 DVDs and 2 CDs cost £45
Martin has £50 Does he have enough to buy 1 DVD and 3 CDs?
Answer:
Step-by-step explanation:
Lets Price of a DVD is fixed i.e. 15
and One CD price is 5 (Not fixed)
In First situation
2 DVDs and 1 CD cost = 35 as given
2 x 15 + 5 = 35
Lets one CD price is 7.5
In Second situation
2 x 15 + 2 x 7.5 = 45
Its mean CD price may be between 5 to 7.5
In asked scenario, Martin has 50
1 DVD and 3 CDs?
1 x 15 + 3 x 7.5 = 37.5
37.5 is lesser than 50
Hence Martin has enough to buy 1 DVD and 3 CDs.
Pranav and Trevon each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Pranav spent $74 on 1 daylily and 9 bunches of
ornamental grass. Trevon spent $114 on 1 daylily and 14 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?
Answer:
Day lilies and ornamental grass are $2, $8 respectively
Step-by-step explanation:
step one
we need to represent the scenario with a system of equation
let day lilies be represented with x
and ornamental grass be y
Hence we have
[tex]x+9y= 74--------1\\x+14y= 114------2[/tex]
Let us subtract 1 from 2 we have
[tex]x+14y= 114------2\\\\\\ -(x+9y= 74--------1\\=0+5y= 40[/tex]
Dividing both sides by 5 we have
y= 40/5
y= 8
step 2
Substitute y = 8 in equation 1 we have
x+9(8)= 74
x+72= 74
x=74-72
x= 2
Day lilies and ornamental grass are $2, $8 respectively
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A sample of 500 U.S. teachers are asked to express their opinions on standardized testing for their students. The population in this study is _______________.
A. all U.S. students
B. standardized tests
C. all U.S. teachers
D. the 500 U.S. teachers
Answer:
Option A
Step-by-step explanation:
Dont let the sample of 500 teachers fool you the 500 teachers opinion is on their students standardized testing experience. In this case the students are the test subjects(population).
A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length of the box has been increased by 30%, the height has been increased by 20%, and the width remains the same.
By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.
70% - Rounded Answer
Answer ASAP please, Will give brainliest.
Answer:
see below
Step-by-step explanation:
The measure of a minor arc is the same as the angle that forms it.
1. Since ∠GBJ = 90°, the answer is 90°.
2. ∠HBI = 180° - 151° = 29° so the answer is 29°.
3. ∠HBJ = 180° so the answer is 180°.
4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/
5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.
6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.
I need help with this please.
Answer:
the slope is 60
Step-by-step explanation:
the slope is the number multiplying the x value, or t in this case.
Answer:
The slope is 60, and create the graph by dragging one point to (0,0) and one point to (1,60).
Step-by-step explanation:
If we have the proportional relationship [tex]d=60t[/tex], then the slope will be what we multiply t by to get d, therefore the slope is 60.
Since there is no y-intercept, the line WILL pass through the origin (0,0), so a point goes there.
If we make t 1, then d will be at point (1,60) because [tex]60\cdot1=60[/tex].
Hope this helped!
Please help asap
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Answer:
come fast in English classhshshshdhhhdhhshdhdbb
shhshshsh
Answer:
jsjsjsisiwjwjsu8shdhsusuwhsguw81819w8uehr
Answer in one decimal places
Answer:
ffyjbcjklkkofdfkjjjjj.ghjnn
Answer:
x = 126.9° , x = 306.9°
Step-by-step explanation:
Given
3tanx = - 4 ( divide both sides by 3
tanx = - [tex]\frac{4}{3}[/tex]
Since tanx < 0 then x is in 2nd / 4th quadrants
x = [tex]tan^{-1}[/tex] ([tex]\frac{4}{3}[/tex] ) ≈ 53.1° ← related acute angle
Then
x = 180° - 53.1° = 126.9°
x = 360° - 53.1° = 306.9°
Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 \\\\ B.&&5x+x&=x-4 \end{aligned} A. B. 5x−2+x 5x+x =x−4 =x−4 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract a quantity to/from only one side (Choice B) B Add/subtract the same quantity to/from both sides (Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
1) A. Add/subtract a quantity to/from only one side
2) B. No
Step-by-step explanation:
Question (rewritten)Answer two questions about Equations A and B:
A. 5x-2+x = x-4 B. 5x+x = x-41) How can we get Equation B from Equation A?
A. Add/subtract a quantity to/from only one side B. Add/subtract the same quantity to/from both sides C. Rewrite one side (or both) using the distributive property D. Rewrite one side (or both) by combining like terms2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes B. No=================================
Solution1) As we see left sides of the equations are different but right sides are same.
To make them equal we need to remove the difference.
Equation A. 5x -2 +x = x -4 Equation B. 5x + x = x- 4We need to add 2 to the left side of equation A to get Equation B.
The answer choice for this case is:
A. Add/subtract a quantity to/from only one side2) Since the equations are not same, they will have different solutions.
Answer choice is:
B. NoEquivalent equations are equations that have the same value.
Add/subtract a quantity to/from only one side to get equation B from ABoth equations are not equivalentThe equations are given as:
[tex]A:\ 5x-2+x = x-4[/tex]
[tex]B: 5x+x = x-4[/tex]
(a) How to get equation (B) from (A)
By comparing equations (A) and (B), we have the following observations
The right-hand side of both equations are the sameThe difference between the left-hand side of the equations is -2.This means that, only the left-hand side of equation A will be altered to get equation B.
Hence, the solution is:
A. Add/subtract a quantity to/from only one side
(b) Are they equivalent?
No, they are not.
This is so, because only one side of equation A is altered to get equation B.
Read more about equivalent equations at:
https://brainly.com/question/10541844
Find y round to the nearest tenth
Y is 27.8
Just trust me please :)
Find the missing part.
Answer:
x=2*root(41) or x=root(164)
Step-by-step explanation:
By using Pythagoras theorem, we have 8^2+10^2=x^2. 164=x^2, x=2*root(41)
rewrite (y x 6) x 5 using the associative property.
Answer:
y * ( 6*5)
Step-by-step explanation:
(y x 6) x 5
We can change the order of multiplication by changing where the parentheses are placed using the associative property
y * ( 6*5)
Answer:
The answer will be Y*(6*5)
Step-by-step explanation:
this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5
I need help with VOCAB!!!Please help ASAP
Answer:
SSS postulate
Step-by-step explanation:
its probab;py wrong im sorry
Answer:
SSS Postulate
Step-by-step explanation:
Since both triangles have 3 congruent sides, then
The triangles are congruent by the SSS postulate
¿Qué pasa si el coeficiente del término cuadrático no es 1?
Answer:
NOT IN MY HOUSE SUNNY
Step-by-step explanation: