Answer:
m1 = 107°
m2 = 73°
m3 = 107°
m1+m2+m3+m4 = 360°
107+73+107+73=360°
Find the amount of money in an account after 9 years if $2,600 is deposited at 8% annual interest compounded monthly
Answer:
5328.78
Step-by-step explanation:
formula:
[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]
this rounds to 5328.78
What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 = 2 × 1
6 = 2 × 3
GCF = 2
[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{\frac{1}{3}}[/tex]
»»————- ★ ————-««
Here’s why:
We would take the GCF of the two numbers in order to simplify.⸻⸻⸻⸻
[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Think you can figure out the correct answer here
The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.
Answer:
20?
Step-by-step explanation:
If 3 triangles = 30 they we could assume that each triangle = 10
10 + 10 + 10 = 30
If one triangle = 10 then the 2 circles would = 5 in the 2nd equation
10 + 5 + 5 = 20
If 1 circle = 5 then the 1 full squares would = 4
5 + 4 + 4 = 13
1 triangle = 10 , 1 circle = 5, Half a square = 2
10 + 5 * 2 = ?
Using PEMDAS we would multiply 2 and 5 first to get 10
10 + 10 = 20
Im needing help with this math question
Answer:
4 weeks = 105
16 weeks = 42
24 weeks = 0
Step-by-step explanation:
the function is missing the 'w'
it should be : C(w) = 126 - 5.25w
'w' is the number of weeks
Substitute number of weeks in the 'w' spot
first one is 4 weeks, so
C(w) = 126 - 5.25(4)
= 126 - 21
= 105
given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
Answer:
We can write sin x in terms of tan x/2 using the formula:
⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))
Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.
⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))
Now, if we replace tan (x/2) by y, we get a quadratic equation:
⇒ 0.8y2 + 2y + 0.8 = 0
⇒ 2y2 + 5y + 2 = 0
By using the quadratic formula, we get y = -0.5, -2
Hence, the value of tan (x/2) = -0.5, -2
Now, we have two solutions of tan (x/2).
Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).
For tan (x/2) = -0.5:
⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3
It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.
Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.
Now let's check for tan (x/2) = -2.
⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3
Here, we get tan x = 4/3 which is positive.
Hence, we can say that tan (x/2) = -2 is a correct solution.
. Seja (G, ·) um grupo tal que para todo x ∈ G temos x
2 = eG. Mostre
que G ´e abeliano.
One of the legs of a right triangle measures 15 cm and the other leg measures 6 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
16.2 cm
Step-by-step explanation:
use the pythagoran theorem
a² + b² = c²
15² + 6² = c²
225 + 36 = c²
261 = c²
Take the square root of both sides
16.1554944214 = c
Rounded
16.2 cm
Found out the answer please I can't do this
Answer:
530.929158457
Step-by-step explanation:
13x13= 169 x pi= 530.929158457
A right cone has a radius of 5 cm and an altitude of 12 cm. Find its volume.
A)
300 cm3
B)
64.1 cm3
C)
942.5 cm3
D)
314.2 cm3
Answer:
D. V=314.2cm³
Step-by-step explanation:
The volume of the cone is:
V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³
Answer: D) 314.2 [tex]cm^3[/tex]
Step-by-step explanation:
The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]
r is the radius and h is the height/altitude.
We can sub these values in and solve
[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]
Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate
[tex]V=(100)(3.14)\\V=314[/tex]
The volume is about 314.
Our closest answer to that is D so that is the correct choice.
Complete the remainder of the table for the given function rule:
Y=3x-5
[X] -6 -3 0 3 6
[Y] -23 ? ? ? ?
answer is
(Y)=-23,-14, -5,4,13
hope this will help you
Find x
Find Angle CBD
Find Angle D
Answer:
[tex]thank \: you[/tex]
Draw a model to represent each expression.
Answer:
OK
Step-by-step explanation:
The first screenshot is for #7 and the second screenshot is for #8
what weight remains when 5/9 of a cake weighing 450 grams is eaten.
The base of a solid is a circular disk with radius 4. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
Answer:
the volume of the solid is 1024/3 cubic unit
Step-by-step explanation:
Given the data in the question,
radius of the circular disk = 4
Now if the center is at ( 0,0 ), the equation of the circle will be;
x² + y² = 4²
x² + y² = 16
we solve for y
y² = 16 - x²
y = ±√( 16 - x² )
{ positive is for the top while the negative is for the bottom position }
A = b²
b = 2√( 16 - x² ) { parallel cross section }
A = [2√( 16 - x² )]²
A = 4( 16 - x² )
Now,
VOLUME = [tex]\int\limits^r -rA dx[/tex]
= [tex]\int\limits^4_4 {-4(16-x^2)} \, dx[/tex]
= 4[ 16x - (x³)/3 ] { from -4 to 4 }
= 4[ ( 64 - 64/3 ) - (-64 = 64/3 0 ]
= 4[ 64 - 64/3 + 64 - 64/3 ]
= 4[ (192 - 64 + 192 - 64 ) / 3 ]
= 4[ 256 / 3 ]
= 1024/3 cubic unit
Therefore, the volume of the solid is 1024/3 cubic unit
What is the value of x
Answer:
18°
Step-by-step explanation:
Know that the intersection of two lines and the angles opposite each other are equal
3t+12=66
Subtract 12 from both sides
3t=54
Divide 3 from both sides
t=18
What is the greatest possible integer value of x for which StartRoot x minus 5 EndRoot is an imaginary number?
Answer:
The answer is 4.
Step-by-step explanation:
Edge 2021
Answer:
4
Step-by-step explanation:
EDGE2021
pls help me on this ..
Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm
We know that, Area of a rectangle is given by : Length × Width
⇒ Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²
Given : The scale is 1 cm = 4 feet
⇒ Area of Angel's rectangular room in square feet = 35 × (4 feet)²
⇒ Area of Angel's rectangular room in square feet = 35 × 16 feet²
⇒ Area of Angel's rectangular room in square feet = 560 feet²
Which table represents a linear function?
Answer:
Option 3 (C)
Step-by-step explanation:
It is the only one that changes the same amount every time ( times 2 )
On a coordinate plane, a polygon has points (negative 3, 4), (3, 4), (3, negative 3), (negative 3, negative 2).
What points are the vertices of this polygon? Select all that apply.
(–3, –2)
(–2, –3)
(3, 4)
(–3, 4)
(3, 3)
(3, –3)
Answer:
(-3,-2)
(-3,4)
(3,4)
(3,-3)
Step-by-step explanation:
Answer:
cant see nun mind showing it
A multiple-choice test contains 25 questions, each with 4 answers. Assume a student just guesses on each question. (a) What is the probability that the student answers more than 20 questions correctly
Answer:
9.68*10^-10
Step-by-step explanation:
The problem above can be solved using the binomial probability relation :
Where ;
P(x = x) = nCx * p^x * q^(n-x)
n = number of trials = 25
p = 1/4 = 0.25
q = 1 - p = 0.75
x = 20
P(x > 20) = p(x = 21) + p(x = 22) +.. + p(x = 25)
Using the binomial probability calculator to save computation time :
P(x > 20) = 9.68*10^-10
Double a number and subtract nine. algebraic expression
Answer:
2y - 9
Step-by-step explanation:
number = y
2 × y - 9
2 × y can be simplified to 2y.
2y - 9
Simplify the following completely, show all work. √-45
Answer:
[tex]3\sqrt{5}i[/tex]
Step-by-step explanation:
[tex]\sqrt{-45}[/tex]
[tex]\sqrt{-9*5}[/tex]
[tex]\sqrt{-9}\sqrt{5}[/tex]
[tex]3i\sqrt{5}[/tex]
[tex]3\sqrt{5}i[/tex]
If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.
a open down and have a minimum
b open down and have a maximum
c open up and have a maximum
d open up and have a minimum
Answer:
b open down and have a maximum
Step-by-step explanation:
A negative value for a will make the quadratic function open down
A downward facing parabola will have a maximum
Determine whether the stochastic matrix P is regular. Then find the steady state matrix X of the Markov chain with matrix of transition probabilities P. P=
0.22 0.20 0.65
0.62 0.60 0.15
0.16 0.20 0.20
Answer:
Step-by-step explanation:
Given that:
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right][/tex]
For a steady-state of a given matrix [tex]\bar X[/tex]
[tex]\bar X = \left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
As a result P[tex]\bar X[/tex] = [tex]\bar X[/tex] and a+b+c must be equal to 1
So, if P[tex]\bar X[/tex] = [tex]\bar X[/tex]
Then;
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right]\left[\begin{array}{c}a\\b\\c\end{array}\right] =\left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
[tex]\implies \left\begin{array}{ccc}0.22a+&0.20b+&0.65c\\0.62a+&0.60b+&0.15c\\0.16a+&0.20b+&0.20c\end{array} \right = \left \begin{array}{c}a ---(1)\\b---(2)\\c---(3)\end{array}\right[/tex]
Equating both equation (1) and (3)
(0.22a+ 0.2b + 0.65c) - (0.16a + 0.2b + 0.2c) = a - c
0.06a + 0.45c = a - c
collect like terms
0.06a - a = -c - 0.45c
-0.94 a = -1.45 c
0.94 a = 1.45 c
[tex]c =\dfrac{ 0.94}{1.45}a[/tex]
[tex]c =\dfrac{ 94}{145}a --- (4)[/tex]
Using equation (2)
0.62a + 0.60b + 0.15c = b
where;
c = 94/145 a
[tex]0.62a + 0.60b + 0.15(\dfrac{94}{145}) a= b[/tex]
[tex]0.62a + 0.15(\dfrac{94}{145}) a= -0.60b+b[/tex]
[tex]0.62a + (\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](0.62+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{62}{100}+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= \dfrac{4}{10} b[/tex]
[tex](\dfrac{1043 \times 10}{1450 \times 4})a = \dfrac{4}{10} \times \dfrac{10}{4}[/tex]
[tex]b = (\dfrac{1043}{580}) a --- (5)[/tex]
From a + b + c = 1
[tex]a + \dfrac{1043}{580}a + \dfrac{94}{145} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{94*4}{145*4} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{376}{580} a = 1[/tex]
[tex]\dfrac{580+ 1043+376 }{580} a= 1[/tex]
[tex]\dfrac{1999}{580} a= 1[/tex]
[tex]a = \dfrac{580}{1999}[/tex]
∴
[tex]b = \dfrac{1043}{580} \times \dfrac{580}{1999}[/tex]
[tex]b = \dfrac{1043}{1999}[/tex]
[tex]c = \dfrac{94}{145} \times \dfrac{580}{1999}[/tex]
[tex]c= \dfrac{376}{1999}[/tex]
∴
The steady matrix of [tex]\bar X[/tex] is:
[tex]\bar X = \left[\begin{array}{c}\dfrac{580}{1999} \\ \\ \dfrac{1043}{1999}\\ \\ \dfrac{376}{1999}\end{array}\right][/tex]
is 3(6x + 1) and 21x
equivalent?
explain why
Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other
Step-by-step explanation:
Find the surface area of the square pyramid 8mm 6mm
Answer:
136 mm²
Step-by-step explanation:
[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}[/tex]
[tex]A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}[/tex]
[tex]A=36 +12\sqrt{\frac{36 }{4} } +64[/tex]
[tex]A=36 +12\sqrt{9 } +64[/tex]
[tex]A=36 +12(3)+64[/tex]
[tex]A=36 +36+64[/tex]
A = 136
convert fraction to decimal 1/5 explanation
Answer: 0.2
Step-by-step explanation:
1 divided by 5 = 0.2
Answer:
0.2
Step-by-step explanation:
1/5 = 1 divided by 5.
This will also apply to any fraction
Fraction = Numerator divided by Denominator
Graph the image of kite JKLM after a translation 3 units up.
What’s the answer to this question?
Answer:
its x^4
Step-by-step explanation:
its x^4
For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).
A. K - 3x-7
B. 3x - 17
c. -x + 3x + 7
D. -x + 3x - 5
SUBND
Answer:
c. -x + 3x + 7 = 2x+7
Step-by-step explanation:
f(x) = 3x +1 and g(x) = x - 6
f-g = 3x +1 - ( x - 6)
Distribute the minus sign
= 3x+1 - x+6
= 2x +7