Answer:
2.22
Step-by-step explanation:
What is the general equation of a sine function with an amplitude of 6, a period of startfraction pi over 4 endfraction, and a horizontal shift of startfraction pi over 2 endfraction?
Answer:
f(x) = 6·sin(8(x -π/2))
Step-by-step explanation:
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A·sin(2π/P(x -S))
__
The equation for A=6, P=π/4, and S=π/2 is then ...
f(x) = 6·sin(8(x -π/2))
_____
Additional comment
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
Phone numbers consist of a three-digit area code followed by seven digits. if the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible? how did you come up with your answer? a. 8 times 10 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 6,400,000,000 b. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 1,280,000,000 c. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 = 128,000,000 d. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 times 10 = 12,800,000,000
The possible number of different phone numbers will be 128000000
What is probabilty?
The extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
In this exercise we have to use the knowledge of probability to find the phone number, so:
1 280 000 000 different ways.
First we have to establish some information about this exercise such as:
The first slot cannot start with 0 or 1, which leaves us 2, 3, 4 ..., 9 to fill.This means we have 8 different arrangements for the first slot.The second slot have a 0 or 1 for the second digit, which leaves us with 2 different arrangements.There are no restrictions for the third slot, so we would have 10 different arrangements.Thus, now calculating the possibilities of occurrence, we have:
[tex]8\times 2\times 10=160[/tex]
[tex]8\times 10^6=8000000[/tex]
[tex]160\times 8000000=1280000000[/tex]
See more about probability follow
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A racerunner is 26. 7 cm long. How much less than a meter is this?
Answer:
73.3 cm
Step-by-step explanation:
Simplify 5^3/5^7 leaving your anwser in index form help!!!!!!!!
Answer:
0.0016
Step-by-step explanation:
Hope this helps!
Angle 1 and 2 are complementary. Angle 1 is 28 degrees. what is the measure of angle 2?
Answer:
Step-by-step explanation:
Remark
All triangles are made up of 3 angles totally 180 degrees.
In addition a right triangle has a measurement of 90 degrees.
The other two angles must add to 90 degrees as will. That is the definition of complementary. (2 angles add to 90 degrees).
Formula
x + 28 = 90
Solution
x + 28 = 90 Subtract 28 from both sides.
x+28 -28=90 - 28
x = 62
The measure of the second angle is 62
Help immediate!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
2. 3x = 18 then the value of x is
Answer:
x=6
Step-by-step explanation:
(I don't know if you mean question 2 3x= 18 or 2 times 3x = 18)
2.3x = 18
3x = 18 / 2 = 9
x = 9/3 = 3
Or : x = 18/3 = 6
show work and do it fast
Answer:
9 x 2/8 = 9/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
9 divided by 2/8 but make the 2/8 into a decimal and the turn back to a fraction if it ask if not then leave it how it is and if you have to round which you prolly wont have to but ask to make sure ight
What is the range of possible sizes for side xxx?
Answer:
2.3<x<8.7
Step-by-step explanation:
pls help
Is this triangle acute, right or obtuse?
Probably between obtuse angle or triangle because sometimes they trick you
But I'm not 100 percent sure
Answer:
It is right
Step-by-step explanation:
Right triangles will always form a corner like an L shape
Help me find the perimeter of the shape please!
Answer: 10m +27
Step-by-step explanation: Add all the sides together to calculate Perimeter.
2(2m +10)+2m+7+2m +2m
4m + 20 + 2m +7 +2m +2m
10m +27
Solve : 4-3sec²A = 0
Answer:
[tex]\sf\:Negative = \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\\\sf\: Positive = \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]
Step-by-step explanation:
[tex]4 - 3 \sec ^ { 2 } \theta = 0[/tex]
Let's solve this.
Isolate sec²θ.
[tex]4 -3 \sec ^ { 2 } \theta = 0\\- 3 \sec^{2}\theta = -4\\3 \sec^{2}\theta=0\\\sec^{2} \theta=\frac{4}{3}[/tex]
Now, we now that, cos θ is the reciprocal of sec θ. Therefore,
[tex]\sec^{2}\theta = \frac{4}{3}\\\cos^{2}\theta = \frac{3}{4}[/tex]
Bring the square root on both the sides of the equation to remove the square.
[tex]\sqrt{\cos^{2}\theta} = \sqrt{\frac{3}{4} }\\\cos^{2}\theta = (+/-) \frac{\sqrt{3} }{2}[/tex]
If,
[tex]\cos\theta = + \frac{\sqrt{3}}{2}\\= cos \left( \frac{\pi}{6} \right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]
Also if,
[tex]\cos\theta = -\frac{\sqrt{3}}{2}\\= \cos \left(\pi - \frac{\pi}{6}\right)\\= \cos \left({\frac{5\:\pi}{6}\right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Joe ran 5/6 mile each day for 5 days. How far did joe run?
The value of a car is $25,500. It loses 14% of its value every year.
Find a radius of a circle the length of which is 24π cm.
Answer:
12
Step-by-step explanation:
Length of a circle = circumference = 2πr = 24π
Radius (r) = 24π/2π
= 12cm
A snack company can pack 12 granola bars in a box. How many boxes are needed for 600 granola bars?
A.5
B.720
C.50
D.7, 200
Answer:
The Answer is C. 50
Step-by-step explanation:
To pack 600 granola bars, 50 boxes are needed.
The correct option is C.
To determine how many boxes are needed for 600 granola bars, we divide the total number of granola bars by the number of granola bars that can be packed in one box.
Number of boxes = Total granola bars / Granola bars per box
Number of boxes = 600 / 12
Number of boxes = 50
So, 50 boxes are needed to pack 600 granola bars.
The correct answer is option C: 50.
To confirm this, let's see the reasoning: Since each box can hold 12 granola bars, to get 600 granola bars, you need to divide 600 by 12. The result is 50, which means you need 50 boxes to pack 600 granola bars. Option C, with 50, is the correct answer. Options A, B, and D do not provide the accurate number of boxes required for 600 granola bars.
To learn more about the division;
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B1 of a trapezoid in which Area = (48x+68) inch squared, Height = 8 in, B2 = (9x + 12) in.
what I have so far is
48x +68 = 8 (B1 + 9x +12)
what do I do from there????????????????? the question is asking to solve for Base 1/ B1
A=(1/2)(b1+b2)h =
=(48x+68)in² = (1/2)( b1+(9x+12))8
=b1= 3x+5
A 45-foot tall tree is leaning towards a house, making an 86° angle with the ground. To stop the tree from leaning further, a cable is tied from the top of he tree and secured to a point on the ground 30 feet from the tree, opposite from the house. What angle does the cable make with the ground?
The angle (less than 90°) that the cable makes with the ground for this considered case is 59° approximately.
What is law of cosine?Let there is triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is opposite side to angle A)
Consider the diagram attached below.
In the diagram given, we have:
AB = tree with length of 45 ft
AC = cable, with length of 'x' ft (assume)
BC = distance of the base of the cable from the base of the tree of measurement 30 ft.
AD = vertical height of the point A (the top of the tree and cable) from the ground of 'h ft' (assume),
Using the cosine rule for the triangle ABC, taking:
|AC| = x = length of the side opposite to the known angle
|AB| = 45 ft and BC = 30 ft are rest of the two sides,
Angle opposite to AC is of 86°
Thus, we get:
[tex]45^2 + 30^2 -2(30)(45)\cos(86^\circ) = x^2\\\\2925 - 188.34 \approx x^2\\\\x \approx \sqrt{2736.66} \approx 52.31 \: \rm ft[/tex]
(took positive root because of x being length, which is a non-negative quantity).
For triangle ABD, using the sine ratio from the perspective of angle A, we get:
[tex]\sin(m\angle A) = \dfrac{\text{side opposite to A}}{\text{length of hypotenuse}} \\\\\sin(86^\circ) = \dfrac{h}{45}\\\\h = \sin(86^\circ) \times 45 \approx 44.89 \: \rm ft[/tex]
Now, for the triangle ACD, using the sine ratio from the perspective of angle C (smaller than 90°), we get:
[tex]\sin(m\angle C) = \dfrac{\text{side opposite to C}}{\text{length of hypotenuse}} \\\\\sin(\theta^\circ) = \dfrac{h}{x} \approx \dfrac{44.89}{52.31} \approx 0.858\\\\\theta =\sin^{-1}(0.858) \approx 59.09, 120.90[/tex]
Taking the angle smaller than 90°, we get:
[tex]\theta \approx 59.09^\circ \approx 59^\circ[/tex]
Thus, the angle (less than 90°) that the cable makes with the ground for this considered case is 59° approximately.
Learn more about law of cosines here:
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Answer:
That wasn't the correct answer
Step-by-step explanation:
c^2=45^2+30^2 - 2(45)(30)*Cos(94
c^2=2925+188.3425
c^2=3113.3425
take the square root:
c is approx. 55.8
sin86/55.8=sinx/45
55.8sinx=45sin94
divide both sides by 55.8
sinx=0.8045
sin^-1(0.8045)=53.6
Answer is 53.6 or "L" on the scavenger hunt worksheet
Which algebraic expression is equivalent to the expression below? 12(5 + 3x) + 18
A.
36x - 78
B.
3x + 78
C.
36x + 78
D.
36x + 42
Step-by-step explanation:
12(5 + 3x) + 18
60+36x+18
C)36x+78
Jordan wants to put wire fence around each of his tomato plants. He has a partial roll of fencing which is 18 1/6 feet long. How many tomato plants will Jordan be able to put a fence around using this roll if each plant requires exactly 2 2/3 feet of fencing.
Answer:
6 tomato plants
Step-by-step explanation:
[tex]18\frac{1}{6}= \frac{18\times6+1}{6}=\frac{108+1}{6}= \frac{109}{6}[/tex]
[tex]2\frac{2}{3}= \frac{2\times3+2}{3}=\frac{6+2}{3}= \frac{8}{3}[/tex]
then the number of tomato plants that Jordan will be able to put a fence around using this roll :
[tex]\frac{\frac{109}{6}}{\frac{8}{3}}= \frac{109}{6}}\times\frac{3}{8} = \frac{109}{2}}\times\frac{1}{8}= \frac{109}{16} = 6.8125[/tex]
then he can put fence only around 6 plants.
Solving quadratic equations using the quadratic formula.
Answer:
what is there supposed to be a picture
Answer:
Down Here ↓↓↓
Step-by-step explanation:
Hello!
Standard Form of a Quadratic: [tex]ax^2 + bx +c[/tex]
Quadratic Formula: [tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.
Question: [tex]2x^2 +4x+2[/tex]
Solution:
Determine the values of "a", "b", and "c".
a = 2b = 4c = 2Plug it into the quadratic equation to solve.
Solve:
[tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex][tex]x = \frac{-(4) \pm\sqrt{(4)^2-4(2)(2)}}{2(2)}[/tex][tex]x = \frac{-4 \pm\sqrt{16 - 16}}{4}[/tex][tex]x = \frac{-4 \pm\sqrt{0}}{4}[/tex][tex]x = \frac{-4}{4}[/tex][tex]x = -1[/tex]The value of x is -1.
What is the volume of the rectangular prism shown below?
A. 224 in³
B. 320 in³
C. 512 in³
D. 5,120 in³
Answer:
[tex]\boxed{\sf{5120\ in^3}}[/tex]Step-by-step explanation:
Solution:
Volume of the rectangular prism formula:
[tex]: \Longrightarrow \sf{V=l*w*h}[/tex]
Given:
Length: 32 inWidth: 10 inHeight: 16 inThen, you multiply.
[tex]\sf{32*10*16=\boxed{\sf{5120}}[/tex]
Therefore, the correct answer is "D. 5120 in³".Answer:
D
Step-by-step explanation:
3/5x2/5x4/9 in simplest form
Answer:
8/75 is the answers for the question
please helppppppppppppppp!!!!!!!!!!!!!!!!!!!!!11
Which rigid transformation(s) can map triangleabc onto trianglefed? reflection, then dilation reflection, then translation rotation, then translation rotation, then reflection
Answer:
rotation
Step-by-step explanation:
reflection
Answer:
rotation then translations-- C
Step-by-step explanation:
yes. and bc taking the quiz rn
Alex for school I need help whoever helps first will get brainlyist
Answer:
wheres the question ?
Step-by-step explanation:
Please help, right now!!!
Answer:
its B
Step-by-step explanation:
Answer:
the answer is B 1/50. I think
Ariana is playing a game. For each of her turns, she rolls a number cube landed with the numbers 1 through 6. She also spins the spinner shown below. To win the game Ariana needs to roll a 3 and spin a 3 on her next turn. What is thr probability that Ariana will win the game on her next turn?
Answer:
1/18
Step-by-step explanation:
probability of getting a three= 1/6
probability of getting a three on a wheel=1/3
probability of winning= 1/6x1/3=1/18
m∠A=(y−16)° plese help me i really need this answer
I don't know what u r trying to find out so pls tell me what u r trying to find out.
But if u r trying to find out y here,
It is impossible to find out value of y, as we don't have the value of a or any other hints which will help in finding y.
But we can write the equation in a different way,
that is...
A - y = - 16°
What is the value of x in the matrix equation below?
Answer:
-3
Step-by-step explanation: