Answer:
y = [tex]\frac{v-6}{3x}[/tex]
Step-by-step explanation:
[tex]3xy+6=v\\3xy=v-6\\y=\frac{v-6}{3x}[/tex]
Which expression is equivalent to 4-2 _ 2-3
Answer:
16
Step-by-step explanation:
First you calculate the value
(2)÷2^-2
Then you simplify
2^4
=16
PLEASE HELP QUICK 30 POINTS !!!!!!
Ryan wants to make a triangular deck. He wants each side to be a different length.
Select three lengths he could use to make a triangle:
Side 1:
Side 2:
Side 3:
:: 3 feet
:: 10 feet
.: 20 feet
:: 25 feet
:: 60 feet
Answer:
10 ft, 20ft and 25 ft.
Step-by-step explanation:
10 ft, 20ft and 25 ft.
This will make a triangle as 25 < (10 + 20).
Answer:
Solution given:
one side of a triangle must be less than the sum of two other side .
by making these sense:
3<10+20
10<20+3
20<10+3not true
these three side are not possible.
again
10<20+25
20<25+10
25<20+10
these three side are true so
required side are:
Side 1:10
Side 2:25
Side 3:20
Each of 8 students reported the number of movies they saw in the past year. This is what they reported:
11, 17, 14, 11, 4, 7, 11, 11
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
Answer:
10.75
11
Step-by-step explanation:
the mean is the average, so add up all of the values and divide by 8 because there are 8 values :
(11 + 17 + 14 + 11 + 4 + 7 + 11 + 11)/8 = 10.75
the median is the middle value when the numbers are written in ascending or descending order :
4, 7, 11, 11, 11, 11, 14, 17
we can cross out the values on the ends, to get to the middle. if we do this, we are left with 11, 11
find the average of these numbers :
which is 11.
ASAP HELP!! PLEASEEEE!!
Answer:
Step-by-step explanation:
5.1, please this is just a guess from using my head to calculate
Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.
A wind turbine has blades 50m in diameter and an overall height (to the highest point) of 125m. If it has four blades instead of three, create four equations modelling the height of a point on the tip for each of the four blades.
Answer:
Blade A : H(θ) = 75 + 50 sin θ
Blade B : H(θ) = 75 + 50 sin(θ + 90° )
Blade C : H(θ) = 75 + 50 sin( θ + 180° )
Blade D : H(θ) = 75 + 50 sin( θ + 270° )
Step-by-step explanation:
Given data :
Diameter of blade = 50 m
overall height = 125 m
The four blades : Blade A , Blade B, Blade C, Blade D all moves in same direction hence they make 90° to each other.
Lets assume The blades are standing at θ with the horizontal
The four equation modelling the heights :
Blade A : H(θ) = 75 + 50 sin θ
Blade B : H(θ) = 75 + 50 sin(θ + 90° )
Blade C : H(θ) = 75 + 50 sin( θ + 180° )
Blade D : H(θ) = 75 + 50 sin( θ + 270° )
Use the expression, X^2-7
What is the value of the expression above when n=5
Answer:
18
Step-by-step explanation:
X^2 - 7 =
Since we need to evaluate the expression when X = 5, we replace X with 5.
= 5^2 - 7
Now, according to the correct order of operations, we need to do the exponent first. 5^2 = 5 * 5 = 25
= 25 - 7
Finally, we subtract.
= 18
Answer: 18
Find the missing segment in the image below
Answer:
8? not sure tho....
Step-by-step explanation:
HELP!!!!!
If anyone knows the answer please tell me as soon as possible PLEASE!!!!
Answer:
Plotting the points on graph and joining them gives a right angle triangle
Answer:
right angle triangle
Step-by-step explanation:
Slope = (Y1-Y2)/(X1-X2)
The slope of AC is 1/3. The slope of BC is -3. Therefore AC is perpendicular to BC (right angle).
What is the area of this triangle
Answer:
14
Step-by-step explanation:
7*4*1/2=14
Find the distance between the points (10, 14) and (1,4) on a coordinate plane.
Sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesh
Use special right triangle ratios to find the lengths of the other leg and the hypotenuse
Answer:
leg = 18
hypotenuse = 18 sqrt(2)
Step-by-step explanation:
We know that sin theta = opp side / hypotenuse
sin 45 = 18 / hyp
hyp sin 45 = 18
hyp = 18 / sin 45
hyp = 18 sqrt(2)
Since this is an isosceles triangle ( the two angles are the same measure), the two legs have to be the same length
leg = 18
the lengths of the other leg and the hypotenuse
is 18 units and 18[tex]\sqrt{2}[/tex]units respectively.
Answer:
Solution given:
Let <C=<B=45°
AB=18 units
BC=?
AC=?
again
By using
By usingspecial right triangle ratios
sin C=opposite/hypotenuse=AB/AC=18/AC
Sin 45=18/AC
AC=18/sin45
AC=hypotenuse=18[tex]\sqrt{2}[/tex]units
again
Tan A=opposite/adjacent=BC/AB=BC/18
Tan45=BC/18
BC=Tan45*18
BC=length of another leg=18 units.
Use the diagram.
What is the length of }EG ?
A 1 B 4.4
C 10 D 16
Answer:
Option (D)
Step-by-step explanation:
Length of the bar EG = 1.6x
If F is a point on the bar such that,
EF + FG = EG
Measure of segment EF = 6
Measure of FG = x
By substituting measures of each side,
6 + x = 1.6x
1.6x - x = 6
0.6x = 6
x = 10
Length of EG = x + 6
= 10 + 6
= 16 units
Option (D) will be the correct option.
From the given diagram , the length of EG is 16
Given :
From the diagram , we can see that
EF=6, FG=x and EG=1.6x
We know that , EG=EF+FG
[tex]EG=EF+FG\\1.6x=6+x\\Solve \; for \; x\\1.6x-x=6\\0.6x=6\\divide by \; 0.6\\x=10[/tex]
Now we find out EG
EG=1.6x
Substitute 10 for x
[tex]EG=1.6x=1.6(10)=16\\[/tex]
EG=16
The length of EG is 16
Learn more : brainly.com/question/17259876
Complete the synthetic division problem below.
Answer:
B
Step-by-step explanation:
- 2 | 2 2 - 2 4
↓ - 4 4 - 4
--------------------------
2 - 2 2 0 ← remainder
Since the remainder = 0 then (x + 2) is a factor
quotient = 2x² - 2x + 2
Using the formula do you sound level and disciples are use the intensity of the sound you're measuring. Set an alarm to normal conversation has an intensity of 3.2×10 to the -6
Answer:
65.1 decibels
Step-by-step explanation:
Given
[tex]I = 3.2 * 10^{-6}[/tex] --- intensity
Required
Determine the sound level
This is calculated using:
[tex]B = 10\log(\frac{I}{I_o})[/tex]
Where:
[tex]I_o = 1 * 10^{-12}[/tex]
So, we have:
[tex]B = 10\log(\frac{3.2 * 10^{-6}}{1 * 10^{-12}})[/tex]
Apply law of indices
[tex]B = 10\log(\frac{3.2 * 10^{-6+12}}{1})[/tex]
[tex]B = 10\log(3.2 * 10^{6})[/tex]
Using a calculator, we have:
[tex]B = 10*6.51[/tex]
[tex]B = 65.1[/tex]
(c+d)^2+11(c+d)+30
Factor completely.
Answer:
firstable give c+b a polynomial value like x
so its will be x^2+11x+30
after the we have to factor it
30=6×5
and 11=6+5
so its will become
(x+6)×(x+5)=x^2+11x+30
x=c+d
(c+d+6)×(c+d+5)=(c+d)^2+11(c+d)+30
have a great day
What is the value of x that makes L1 ∣∣ L2?
A. 15
B. 29
C. 18
D. 25
Answer:
B
Step-by-step explanation:
For the lines to be parallel.
The 2 given angles are corresponding and congruent, that is
4x - 12 = 3x + 17 ( subtract 3x from both sides )
x - 12 = 17 ( add 12 to both sides )
x = 29 → B
The value of x will be 29°. Then the correct option is B.
What is a corresponding angle?If two lines are parallel, then the third line. The corresponding angles are equal angles.
We know that the angle (3x + 17) and (4x – 12) are corresponding angle.
(3x + 17) = (4x – 12)
4x – 3x = 17 + 12
x = 29°
The value of x will be 29°.
Then the correct option is B.
More about the corresponding angle link is given below.
https://brainly.com/question/1597341
#SPJ5
If Ф ∈ (0, pi/2) and tan(pi cosФ) = cot(pi sinФ), then cos(Ф- pi/4) is equal to?\
Answer:
please see the answer in the picture.
write 5 lcms of 100 and 120
Answer:
The LCM of 100 and 120 is 600.
The LCM of 5 and 120 is 120.
LCM of 5 and 100 is 100.
Step-by-step explanation:
I think this is the answer . If it is not sorry .
what’s the answer help pls
Answer:
D should be the anwser if im not mistaken!
Step-by-step explanation:
rp= 6 cm and as u can tell the side where q,s lies is a little bit longer so itll be 1 cm longer the r,p!!
Answer:
7
Step-by-step explanation:
Triangle Proportionality Theorem : If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
[tex]\frac{RP}{PT}[/tex] = [tex]\frac{SQ}{QT}[/tex] Set up proportions
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{21}[/tex] Cross multiply
18x = 126 Divide to isolate x
x = 7
William wishes to view a frequency table for grouped data using his monthly credit card statements for the last 20 months, shown below. Construct the table for William using six classes. 1312, 1303, 809, 1477, 1263, 1444, 894, 1051, 1485, 1433, 1132, 1221, 1179, 945, 995, 1179, 1172, 1373, 906, 955 Provide your answer below: Lower Class Limit Upper Class Limit Frequency 809 1486
Frequency is the number of incidences of an occasion or value. A frequency table that displays the number of incidences of the goods and the number of times, and the further discussion can be defined as follows:
Lower class than adults who have little over two-thirds of a nationwide median's average household income.The higher class would include families with substantial wealth and biz incomes or where the primary breadwinner is utilized as a manager or a professional worker.Calculation:
[tex]lower\ \ \ \ \ \ \ \ \ upper \ \ \ \ \ \ \ \ \ frequency\\\\809\ \ \ \ \ \ \ \ \ 921 \ \ \ \ \ \ \ \ \ 3\\\\922 \ \ \ \ \ \ \ \ \ 1034 \ \ \ \ \ \ \ \ \ 3\\\\1035 \ \ \ \ \ \ \ \ \ 1147\ \ \ \ \ \ \ \ \ 2\\\\1148 \ \ \ \ \ \ \ \ \ 1260\ \ \ \ \ \ \ \ \ 4\\\\1261 \ \ \ \ \ \ \ \ \ 1373 \ \ \ \ \ \ \ \ \ 4\\\\1374 \ \ \ \ \ \ \ \ \ 1486\ \ \ \ \ \ \ \ \ 4[/tex]
Learn more:
brainly.com/question/18359774
What is the mode of the following set of numbers.
121,347,45,21,300,614,312,333,421
Answer:
the answer is 614
Step-by-step explanation:
hope it help!!
The volumes of two similar solids are 512cm3 and 2197cm3. If the smaller solid has a surface are of 960cm2, find the surface area of the larger solid. Part 1: find the similarity ratio by taking the cube root of each volume. Show your work. Part 2: use your answer from part 1 to find the ratio of the surface areas. Show your work. Part 3: set up a proportion and solve to find the surface area of the larger solid.
Answer:
see below
Step-by-step explanation:
Part 1:
(512) ^ 1/3
-------------------
(2197) ^ 1/3
8
-----
13
The scale factor is 8:13
Part 2
The ratios of the areas is related by scale factor squared
8^2
-----
13^2
64
------
169
Part 3
64 960
------ = ----------------
169 SA larger
Using cross products
64 * SA = 169 * 960
64 SA = 162240
Divide each side by 64
64 SA/ 64 = 162240 / 64
SA = 2535
2535 cm^2
(x+2y)^2
(2x+3y)^2
(3x-2y)^2
Answer:
(x+2y)(x+2y)
x²+2xy+2xy+2y²
x²+4xy+2y²
(2x+3y)(2x+3y)
4x²+6xy+6xy+9y²
4x²+12xy+9y²
what is x in 8 ^ (x - 1 ) = 16 ?
Please help.
Answer:
x=7/3
Step-by-step explanation:
8 ^ (x - 1 ) = 16
We need to rewrite 8 as 2^3 and 16 as 2^4
2^3 ^ (x - 1 ) = 2^4
We know that a^b^c = a^(b*c)
2^(3(x-1)) = 2^4
The bases are the same so the exponents are the same
3(x-1) = 4
Distribute
3x-3 = 4
Add 3 to each side
3x-3+3 = 4+3
3x = 7
Divide by 3
3x/3 = 7/3
x=7/3
5/21 as a decimal rounded to 3 decimal places
[tex] \sf \: \frac{5}{21 } \: rounded \: to \: 3 \: decimal \: places \: is \: \boxed{ \underline{ \bf0.238}}. \\ \longrightarrow \sf \: Just \: divide \: 5 \: by \: 21 \: upto \: 3 \: decimal \: places \\ \sf \: to \: get \: the \: answer.[/tex]
Which graphs are the graphs of even functions?
HELP PLEASE!
Given that sin A=3/7, cos B=-2/5, and both AA and B are in quadrant II, find cos (A-B). Simplify to a single value and leave it in the form of a rational number.
First, recall that
cos(A - B) = cos(A) cos(B) + sin(A) sin(B)
so you just need to find cos(A) and sin(B).
Since both A and B end in the second quadrant, you know that
• cos(A) and cos(B) are both negative
• sin(A) and sin(B) are both positive
Then from the Pythagorean identity, you get
cos²(A) + sin²(A) = 1 ==> cos(A) = -√(1 - sin²(A)) = -2√10/7
cos²(B) + sin²(B) = 1 ==> sin(B) = +√(1 - cos²(B)) = √21/5
You'll end up with
cos(A - B) = (-2√10/7) (-2/5) + (3/7) (√21/5)
… = (4√10 + 3√21)/35
(which makes the last sentence in the question kind of confusing, because this expression doesn't get much simpler and it's certainly not a rational number)
The value of cos(A - B) is approximately 23/25
Given that A and B are in the second quadrant, we have
sin A = 3/7cos B = -2/5To find cos(A - B), we have to use trigonometric functions
cos(A - B) = cosAcosB + sinAsinB ...equation(i)
but
cos A[tex]cos^2A + sin^2A =1 \\cos^2A = 1 - sin^2A\\cos^2A = 1 - (\frac{3}{7})^2 = 1 - \frac{9}{49}= cosA= -\frac{2\sqrt{5} }{7}[/tex]
Having the value of cos A, let's solve for cosB
Cos Bcos B = -2/5
[tex]sin^2B = 1-cos^2B\\sin^2B = 1-(-\frac{2}{5})^2= 1-\frac{4}{25}\\sinB = \sqrt{\frac{21}{25} }=\frac{\sqrt{21} }{5}[/tex]
cos(A-B)substituting the values if sinA, cosA, sinB, cosB into equation(i) above;
[tex]cos(A-B)=cosAcosB+sinAsinB\\cos(A-B)=(-\frac{2\sqrt{5} }{7})(-\frac{2}{5})+(\frac{3}{7})(\frac{\sqrt{21} }{5})\\cos(A-B)=\frac{3\sqrt{21}+4\sqrt{5} }{35} \\cos(A-B) = 23/35[/tex]
The value of cos(A-B) is given above
Learn more on trigonometric functions here;
https://brainly.com/question/4326804
HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C
Answer:
Which subject is this . please tell
Answer:
see explanation
Step-by-step explanation:
1
(a)
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ = (8, 3) and (x₂, y₂ ) = (10, 7)
m = [tex]\frac{7-3}{10-8}[/tex] = [tex]\frac{4}{2}[/tex] = 2
(b)
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
(c)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 3) into the partial equation
3 = - 4 + c ⇒ c = 3 + 4 = 7
y = - [tex]\frac{1}{2}[/tex] x + 7 ← equation of perpendicular line
--------------------------------------------------------------------------
2
(a)
with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (4, 4)
m = [tex]\frac{4-5}{4-3}[/tex] = [tex]\frac{-1}{1}[/tex] = - 1
(b)
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1
(c)
y = x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = x + 2 ← equation of perpendicular line
The graph of the function g(x) is given for #1 - 5.
1. Which of the following is the given function's
average rate of change on the interval PLS HELP. ASAP
Answer:
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