Answer:
In a circle, when a line passes through the center of the circle and is perpendicular to a chord, the line will bisect the chord. In other words, the perpendicular bisector of a chord always passes through the center of the circle.
Step-by-step explanation:
A triangular pyramid…
Pls help me out
what are the solutions to the equation 3/4x^2=48
Which is equivalent to tan θ?
A sinθ/cosθ
B secθ/cscθ
C cosθ/sinθ
D cscθ/secθ
Which one is it, and answer quick, and don't be a troll.
That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
What is tanθ?Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
tanθ = y/x, sinθ = x and cosθ = ySubstituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
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What is the range of the function f(x) = x^3 - 3x^2 - 4x
If the simple interest on $7000 for 10 years is $6300, then what is the interest rate?
please help! also please explain how to solve
Answer:
C
Step-by-step explanation:
The fast way: Testing the options!
Teacher loving way:
An= d×n + A0
d= A4-A3=A5-A4=A6-A5...= 6
A3= 0 = 6×3 + A0
A0= -18
Then the equation is: An= 6n - 18
Help!! I'm confused.
Answer:
12 seconds
Step-by-step explanation:
we need to find the Lcm which is 12
they both flash after 12 seconds
Answer:
Every 12 seconds
Step-by-step explanation:
You must find the LCM (Least common denominator)
4 x 3 = 12
Because 3 goes into 6 and 4 is four so the LCM is 12
11, 15, 19,... Find the 46th term.
WILL GET BRAINLIEST!!!!!!!!
Answer:
191
Step-by-step explanation:
the rule is +4 so 11+45*4=191 (45 is the number not including the first one)
191 is the answer
Answer:
191
Step-by-step explanation:
First, determine if the sequence is arithmetic or geometric.
If it is arithmetic, the difference between consecutive terms is constant.
If it is geometric, the ratio between consecutive terms is constant.
[tex]\sf 11 \underset{+4}{\longrightarrow} 15 \underset{+4}{\longrightarrow} 19[/tex]
As we add 4 to each term to get the next term, this is an arithmetic sequence with common difference of 4.
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 11d = 4Substituting the given values into the formula to find an equation for the nth term:
[tex]\implies a_n=11+(n-1)4[/tex]
[tex]\implies a_n=4n+7[/tex]
Therefore, to find the 46th term, substitute n = 46 into the equation:
[tex]\implies a_{46}=4(46)+7=191[/tex]
What is the solution to 3|–3x 9| = –18? x = –5 x = 5 or x = 1 x = –5 or x = 1 no solution
Answer:
81
Step-by-step explanation:
that is the solution above
Select the correct answer.
The numbers of pages in the books In a library follow a normal distribution. If the mean number of pages is 180
and the standard devlation is 30 pages, what can you conclude?
A. About 60% of the books have fewer than 150 pages.
B. About 16% of the books have fewer than 150 pages.
C. About 95% of the books have more than 150 pages.
D. About 16% of the books have more than 150 pages.
Answer:
there are 83 percent of books
Triangle XYZ with vertices X ( 5 , 7 ) , Y ( 8 , 3 ) , and Z ( 2 , 3 ) is reflected over the y-axis and translated up 4 units to form triangle X ` Y ` Z ` . What is the length of segment Y ` Z ` ?
After the reflection and the translation of XYZ, the length of segment Y'Z' is 6 units
How to determine the length of segment Y'Z' ?The transformation is given as:
Reflection across the y-axisTranslation 4 units upBoth transformations are rigid transformations.
This means that the lengths YZ and Y'Z' would remain the same
The coordinates are given as:
Y = (8,3)
Z = (2,3)
Both points are on the same y coordinate.
So, the length YZ is
YZ = 8 - 2
Evaluate
YZ = 6
Hence, the length of segment Y'Z' is 6 units
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5. Question 3 asked for two possible quadrant locations of the product of c + di and , where c, d, e, and f are positive real numbers. The product in question 4 was two complex numbers of the form c + di and , where c, d, e, and f are positive real numbers. You answered the quadrant location of this product.
Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.
Step-by-step explanation:
Formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
……………………………………………………………
if c, d, e, and f are positive real numbers
then
c f + d e is a positive number.
then
The product of the two complex numbers
lies in Quadrant 1 or Quadrant 2.
Since , c, d, e, and f are positive real numbers
Then
The two complex numbers c + d i and e + f i lie in Quadrant 1
We want to find an example of two complex numbers
That lie in Quadrant 1 ,such that ,their product lies in the other possible
Quadrant, which is Quadrant 2.
EXAMPLE:
Let c + d i = 1 + i
e + f i = 2 + 3i
By applying the formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
We get :
(1 + i)(2 + 3i) = -1 + 5i
A rectangular prism has a volume of
100 cm cubed. The base of the prism is a square,
and the height is the product of the length
and width of the prism. Find the
exact
dimensions of the prism.
The exact dimension of the prism is as follows;
height = x²length = xwidth = xVolume of a rectangular prismvolume of rectangular prism = Bh
where
B = base areah = height of the prismTherefore,
volume = 100 cm³
Hence, the base of the prism is a square. The whole side of the base is equal.
Therefore,
length = width = x
x² = h
Therefore,
x² × x × x = 100cm³
x⁴ = 100
volume = x = [tex]\sqrt[4]{100}[/tex]
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HELPP PLEASEEE ASAP!!!
Answer:
well the odds would be 2:3 because 1 3 5 and 7 are prime numbers so the pin might just land on one of them
Step-by-step explanation:
In the wholesale store you have to pay 1500 EUR for 120 identical tea boxes. How many such tea boxes can be purchased for 900 Eur?
Find the next two terms in this
sequence.
1, 2, 6, 24, 120, [?],[]
1x1=1
1x2=2
2x3=6
6x4=24
24x5=120
120x6=720
720x7=5040
the answer is 720 and 5040
Find the value of x.
390
107°
to
Answ.er:
x=146°
Step-by-step explanation:
the Exterior angle theorem states the exterior angle is equal to the sum of angle 1 and angle 2.
So add 107 and 39 to get 146.
Will mark brainliest if given the right answer Solve the given system of equations. y = 8x + 6
y = 32x
Answer:
( [tex]\frac{1}{4}[/tex], 8 )
Step-by-step explanation:
y = 8x + 6 → (1)
y = 32x → (2)
substitute y = 32x into (1)
32x = 8x + 6 ( subtract 8x from both sides )
24x = 6 ( divide both sides by 24 )
x = [tex]\frac{6}{24}[/tex] = [tex]\frac{1}{4}[/tex]
substitute this value into either of the 2 equations and solve for y
substituting into (2)
y = 32 × [tex]\frac{1}{4}[/tex] = 8
solution is ( [tex]\frac{1}{4}[/tex], 8 )
yeah I still don't get how the pythagorean theorem works sue me.
Answer:
22.25
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
a---leg a=17
b---leg b=?
c----hypotenuse c=28
[tex]17^2+b^2=28^2\\289+b^2=784\\b^2=495\\\sqrt{b^2}=\sqrt{495}\\b = 22.25[/tex]
1) A school has 1500 students and they are going to vote as to whether they will completely convert the school completely off fossil fuels. How many students would you have to poll to be 95% confident of the outcome within /- 3% of the vote
Using the z-distribution, it is found that 1068 students have to be polled to be 95% confident of the outcome within +/- 3% of the vote.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
We have no estimate for the true proportion, hence we use [tex]\pi = 0.5[/tex], and solve for n when M = 0.03. Then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{(0.5)(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.03}\right)^2[/tex]
n = 1067.11.
Rounding up, 1068 students have to be polled to be 95% confident of the outcome within +/- 3% of the vote.
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A center has a center at X(4, -3) and a point on the circle is W(8, 0). What is the location of Y on the diameter WY?
Answer: (0, -6)
Step-by-step explanation:
The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).
A semicircle had an area of 76.97 km squared. Find it's radius
Answer:
[tex]r = 7\ km[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A = \pi r^2[/tex]
Since we know that a semicircle is half of a circle, we can say the area is:
[tex]A = \frac{1}{2}\pi r^2[/tex]
From here solve for r:
[tex]76.97 = \frac{1}{2}\pi r^2\\153.94 = \pi r^2\\\frac{153.94}{\pi} = r^2\\r = \sqrt{\frac{153.94}{\pi}}\\r = 7[/tex]
Find the circumference.
Use 3.14 for π.
O
r = 6 ft
C = [?] ft
C = πd
Answer:
37.68 ft
Step-by-step explanation:
Formula
Diameter = 2r (where r is the radius)
Circumference of a circle = πd (where d is the diameter)
Given:
π = 3.14r = 6 ft⇒ Diameter = 2 × 6 = 12 ft
Substituting the given values into the formula:
⇒ C = πd
⇒ C = 3.14 × 12
⇒ C = 37.68 ft
draw a triangle with angle measures of 45 and 32 and included side of 2 inches
Answer:
Step-by-step explanation:
t
Angle Relationships:Question 4
Parallel Lines m and n are cut by a transversal, t, as shown.
If mz3 is 60°, what is the m25?
N
Select one:
m
3/4
o
O
60° because 23 and 25 are alternate exterior angles
O
60° because 23 and 25 are alternate interior angles
6/5
7/8
n
O 60° because 23 and 25 are supplementary angles
60" because 23 and 25 are corresponding angles
Answer: 60° because 23 and 25 are alternate interior angles
Step-by-step explanation:
please help me answer this
Answer:
(-2.5, -2) (-2, -1.5) (1.5, 2) (2, 2.5)
Step-by-step explanation:
In these intervals, the y value is decreasing.
Last one guyss huhu thank youu
[tex] \huge \rm \color{red}help \: pls[/tex]
Answer:
1/2 split into 1/3 = 1/6
Suppose that x has the density function f(x) = cx 0 < x < 2 identify c
The value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
What is probability density function?The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.
Given that:
[tex]f(x)=cx\ \ at\ 0 < x < 2[/tex]
Here we can see that the value of x is varies as 0,1,2
So at 0,1,2 the value of the function is
[tex]f(1)=c\times 1=c\\\\\\f(2)=c\times 2=2c\\\\[/tex]
So the probability density function is given as:
[tex]\sum f(x)=f(1)+F(2)=1\\\\\sum f(x)=c+2c=1[/tex]
[tex]3c=1\\\\c=\dfrac{1}{3}[/tex]
Hence the value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
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Question
Which systems of equations have infinitely many solutions?
Select each correct system.
A shipping box in the shape of a rectangular prism has the dimension shown.
What is the volume of the box in cubic feet?
Answer:
18 feet³
Step-by-step explanation:
3 · 3 · 2 =
9 · 2 =
18 feet³
