Answer:
cos2x=sinx
<=> 1-2sin^{2}x =sinx
solve and we have x=3pie/2, x=pie/6,x= 5pie/6
Step-by-step explanation:
which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0
Answer:
Option C
Step-by-step explanation:
complete question
A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c
The given equation can be written as
5^3√6c+7^3√6c
5 * [tex]\sqrt{3 *3*2c}[/tex] + 7 * [tex]\sqrt{3 *3*2c}[/tex]
5 * 3 *[tex]\sqrt{2c}[/tex] + 7 * 3 *[tex]\sqrt{2c}[/tex]
15 *[tex]\sqrt{2c}[/tex] + 21 *[tex]\sqrt{2c}[/tex]
36 *[tex]\sqrt{2c}[/tex]
12 [3]*[tex]\sqrt{2c}[/tex]
Option C is correct
Which expression is equivalent to 96?
Answer:
[tex]4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{96}[/tex]
[tex]\sqrt{2*2*2*2*2*3}[/tex]
[tex]2*2\sqrt{2*3}[/tex]
[tex]4\sqrt{6}[/tex]
What is the equation of the line that passes through the point (3,-5)(3,−5) and has a slope of \frac{2}{3}
Answer:
y = 2/3x - 7.
Step-by-step explanation:
Using the point-slope form of a straight line:
y - y1 = m (x - x1) so we have
y -(-5) ) = 2/3 (x - 3)
y + 5 = 2/3x - 2
y = 2/3x - 7.
Answer:
y = 2/3x -7
Step-by-step explanation:
We know the equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/3 x +b
Substitute the point into the equation
-5 = 2/3 (3)+b
-5 = 2+b
Subtract 2 from each side
-7 = b
The equation of the line
y = 2/3x -7
What is 5 7/8 - 1 1/8
Answer to this equation:
4 3/4
Answer:
4.75
Step-by-step explanation:
This is what I got. have a nice day:)
all of the students at mountain range foreign language. 5/8 students take spanish.3/10 of the students take french.the remaining students take mandarin. what fraction of the students take mandarin?
Fraction of students taking mandarin: 3/40
Hope it helps.
X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP
Answer:
The distance between X and Z is approximately 95.99 km
Step-by-step explanation:
Given, X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X.(For Diagram Please Find in Attachment)
Thus, The parameters areThe distance of Y from X = 85 km
The bearing of Y from X = 190°
The bearing of Z from Y = 140°
The bearing of Z from X = 180°
Now,
In triangle XYZ, we have∠YZX = 180° - (130° + 10°) = 40°
Therefore, Apply the sine rule here, we get
(85 km)/sin(40°) = XZ/(sin(130°))
XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km
The distance between X and Z ≈ 95.99 km
Hi can someone answer this question for me I would really appreciate it.
Which graph represents a proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line graph passing through the origin.
The only graph to pass through the origin is the top one
Name a geometric figure that could be the height of a tree
Answer:
Triangle
Step-by-step explanation:
h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.
Basically you want to solve for the hypotenuse by using basic trig
Uhh.. Hello can you please answer this? I am actually having hard time answer this activity.. Please!! Im not from Us im from Philippines and no one answeering my question correctly they're all useless!! HELP ME!! T^T
Mean=all added together divide by total amount
median order them all and the middle number
mode the most common number
hope this helps you find out the answer
Pls I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
Answer:
9. 1:53
10. 4:17
11. 2:52
12. 3:35
This should be it have a great day buddy!
Solve the equation. Round to the nearest thousandth.
[tex] - 5 + 2ln(3x) = 5[/tex]
Answer:
[tex] x \approx \: \boxed{49.471}[/tex]
Step-by-step explanation:
[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]
Answer:
x= e^ 5 / 3 OR 49.471
Step-by-step explanation:
-5=2In (3x)=5
determine the defined range
-5+2In (3x) = 5, x>0
move the constant to the right- move the five to the right and change the sign
2In (3x)= 5+5
calculate- add them together
2In (3x)=10
divide both sides by 2
In (3x)=5
covert into exponential form ( x=e^5)
3x= e^5
divide both sides by 3
x=e^5/3 , x> 0
(check if the solution is in the defined range) which is the answer
How do you solve x^2+5x-14=0
Answer:
x = -7 , x = 2
Step-by-step explanation:
[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]
Answer:
x = - 7, x = 2
Step-by-step explanation:
Solve by factoring , that is
x² + 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
Hey , can you please answer this? It’s urgent I need it for tomorrow.
Answer:
Step-by-step explanation:
object X-axis Y-axis y = x y = -x
(0,6) (0 , -6) (0,6) (6 ,0) (-6 ,0)
(-3 , 5) (-3, -5) (3 , 5) (5 , -3) (-5 , 3)
(-4 , -6) (-4 , 6) (4 , -6) (-6,-4) (6 , 4)
(8,-3) (8 , 3) (-8,-3) (-3, 8) (3 , -8)
(0,3) (0 ,-3) (0 ,3) ( 3, 0) (-3 , 0)
(0, -9) (0 , 9) (0 ,9) (-9 , 0) ( 9 , 0)
(5,0) (5, 0) (-5,0) (0 , 5) (0 , -5)
(-2,0) (-2,0) (2,0) (0, -2) (0,2)
(-7 , 8) (-7 , -8) (7 , -8) (8, -7) (-8,7)
(12 , -6) (12, 6) (-12,-6) (-6,12) (6 ,-12)
When a point is reflected over x-axis, x-coordinate remains same and y-coordinate change to its opposite sign.
When a point is reflected over y-axis, y-coordinate remains same and x-coordinate change to its opposite sign.
When a point is reflected over y = x axis, x-coordinate and y-coordinate change their places.
When a point is reflected over y = -x axis, x-coordinate and y-coordinate change their places and are negated
Which is a better estimate for the height of a 5-story building?
a. 15 centimeters b.15 meters
Answer:
b. 15 meters
Step-by-step explanation:
This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.
Answer:
B bro
Step-by-step explanation:
pls say fast wrong answers = report
Answer:
[tex]a = - \frac{179}{171} \ , \ b = - \frac{20 \sqrt7}{171}\\\\[/tex]
Step-by-step explanation:
[tex]\frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} = \frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} \times \frac{2 + 5 \sqrt7}{2 + 5 \sqrt7}[/tex] [tex][ \ rationalize \ the \ denominator \ ][/tex]
[tex]=\frac{(2 + 5 \sqrt7)^2}{(2)^2 -( 5 \sqrt7)^2}[/tex] [tex][ \ (a - b)(a+b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{4 + 25(7) + 20 \sqrt7}{4 - 25(7)}\\\\= \frac{4 + 175 + 20 \sqrt7}{4 - 175} \\\\= \frac{179 + 20 \sqrt7}{- 171} \\\\= \frac{179}{ -171} + \frac{20 \sqrt7}{-171}\\\\= - \frac{179}{ 171} - \frac{20 \sqrt7}{171}\\\\[/tex]
If the distance from D to D' is 10 and the distance from A to D is 5, what is the scale factor?
Answers:
1) 3
2) 2
3) 1/2
4) 1/3
Answer:
2
Step-by-step explanation:
Because 10/5 is 2
The scale factor for the given distances will be 2. The correct option is 2.
To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.
The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):
Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2
Therefore, the correct answer is option 2). The scale factor is 2.
To know more about scale factors follow
https://brainly.com/question/30215044
#SPJ2
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
Answer:
5 loaves
Step-by-step explanation:
13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.
Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:
13 1/3 = 40/3
2 2/3 = 8/3
40/3 / 8/3
When dividing by a fraction flip the fraction over and multiply
40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5
She made 5 loaves of bread.
Can some one pls help get the answers
Answer:
[tex] \frac{1}{5} [/tex]
n(S) = 5
n(6) =1
So, P(6)= n(6)/n(S)
=1/5
Help help help help
Answer:
its the second option
Step-by-step explanation:
Answer:
y = 3x - 4
Step-by-step explanation:
x = 2:
3(2) - 4 = 2
x = 3:
3(3) - 4 = 5
x = 4:
3(4) - 4 = 8
x = 5:
3(5) - 4 = 11
Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
[tex]\displaystyle \theta \approx 36.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig: [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate: [tex]\displaystyle \theta = 36.4309[/tex]Round: [tex]\displaystyle \theta \approx 36.4[/tex]I need help with these questions please answer :(
Answer:
1. Electrons
2. amphere
3. closed
4. positive to negative
5.open
The volume of aright circular cone is 12 litres calculate the volume of the two parts into which the cone is divided by a plane parallel to the base a quarter of the way down from the vertex to the base
Answer:
the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.
Step-by-step explanation:
According To Question,
We have Given A Right Circular Cone, Volume = 12 Litres .
Now, Let The Radius Of the base be r & the height be h .
Volume of Cone = 1/3×π×r²×h
thus, 1/3×π×r²×h=12
π×r²×h=36 → Equation. 1
Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .
Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4) ⇔ (Put Value From Equ. 1)
V= 12/64 ⇔ 0.1875 litres of new cone volume .
Then, the volume of Frustum = 12-0.1875 = 11.8125 litres
Rishaun ran a prize booth at a professional basketball game. He helped guests spin a spinner and then handed them the prizes the spinner landed on. After 400 guests spun the wheel he had collected the following data.
Which of the following is most likely to happen if another 200 guests spin the spinner?
ticket to future game
Step-by-step explanation:
it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .
It takes the staff 7.2 hours to clean 27 rooms in hotel many hours would it take them to clean 15 room? srep by step
Answer:
4
Step-by-step explanation:
The staffs takes 7.2 hours to clean 27 rooms
Therefore in one hour, the number of rooms cleaned is
= 7.2/27
= 0.2666
The number of hours required to 15 rooms is
= 0.2666×15
= 4 hours
write the solution as a coordinate pair. SHOW YOUR WORK!!!!!
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!
Answer:
(-4,8)
Step-by-step explanation:
x + 4y = 28
+ -x + y = 12
5y = 40
y = 8
-x + (8) = 12
-x + 8 = 12
-x = 4
x = -4
WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)
Answer:
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]
Set up equation
Step 1: Simplify
[tex] \frac{6i}{5 - i} [/tex]
Step 2:Multiply by conjugate
[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]
Step 3:Simplify
[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]
We can reduce this and we must make the imaginary number and real number serpate equations.
[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]
Reduce each by 2
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
When a = 1 and b = 5, what is the value of c?
Answer:
5.1
Step-by-step explanation:
a² + b² = c²
1² + 5² = c²
1 + 25 = c²
26 = c²
c = 5.1
Answer:
The constant of variation is k =
3/8
When a = 1 and b = 5, what is the value of c?
3/40
Help me plsssssssss
[tex]y \: \alpha \: x[/tex]
Let c be the constant
[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]
SO:-[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]
Answer:
y = 4x
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 16 when x = 4 , then
16 = 4k ( divide both sides by 4 )
4 = k
y = 4x ← equation of variation
When x = - 2 , then
y = 4 × - 2 = - 8
which graph represents the function f(x) = |x| - 4?
Answer:
So f(x) is y
y = |x| -4
Put in some numbers for x and see which graph matches the y output.
The first graph.