Answers
Answer:
Step-by-step explanation:
[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]
x = 63.9°
Related Questions
A city council is considering funding a proposal to create a new city park. The council members will fund the proposal if they conclude that more than 60 percent of the city residents support the proposal. A survey of 2,000 randomly selected city residents will be conducted to investigate the level of support for the proposal. Let X represent the number of city residents in the sample who support the proposal. Assume that X is a binomial random variable.
A. Determine the mean and standard deviation of the random variable X, assuming that 60 percent of city residents support the proposal
B. Assume that 60 percent of city residents support the proposal. Use a normal approximation and the mean and standard deviation from part a to determine the values of k1 and k2 (the left and right boundaries of the middle .997 area)
C. The survey was conducted, and 1293 of the 2000 city residents supported the proposal. Do your answers in part b and the survey support the funding of the proposal? Justify your answer.
Answers
The mean and standard deviation of the random variable X if 60 percent of city residents support the proposal is 1200 and 21.9 respectively.
How to calculate the mean?From the information given, the mean of the binomial variable x will be:
= 2000 × 60%
= 2000 × 0.6
= 1200
The standard deviation will be:
= ✓n × ✓p(1 - p)
= ✓1200 × ✓0.4
= ✓480
= 21.9
Also, the mean and standard deviation to determine the values of k1 and k2 will be -3 and 3.
Lastly, the test statistic will be:
= (0.65 - 0.60)/(✓0.60 × (0.40) /2000
= 0.05/✓0.24/2000
= 0.05/0.011
= 4.55
The z value at 5% significance level is 1.64. This supports the funding of the proposal.
Learn more about mean on:
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i need help 9th grade math
Answers
Answer:
(f + g)(x) = x + 5
Explanation:
f(x) = 2x + 3
g(x) = 3x + 2
===========
(f + g)(x)f(x) + g(x)2x + 3 + 3x + 25x + 5Answer:
[tex](f+g)(x)=5x+5[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=2x+3[/tex]
[tex]g(x)=3x+2[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]
Please help!! 40 Points!!!!!
Answers
Answer:
see explanation
Step-by-step explanation:
A
when 2 equal bases are being multiplied together their exponents are added together, that is
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
B
[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]
C
[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]
= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]
= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]
= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]
#A
a^b+a^c=a^b+c#B
12^5x×12^-712^5x-7#C
x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1You are curious about the amount of coffee that the giant fountain cup could
actually hold.
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, base, and radius of the
top, "top, to determine the volume of the cup:
V =
(an) ((base)? + (Pbase) (Ftop) + (rtop) 3).
There are 7. 5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
Answers
Assuming there are 7. 5 gallons of liquid per cubic foot. The volume of the cup is: 1,193.8 gallons.
Volume of the cupUsing this formula
V =πh/3 [(r base)²+ ( r base) (r top) + (r top) ²]
Where:
height of cup (h)= 8 feet
radius of base of cup (r base)= 4 feet/2=2 feet
radius of top of cup (r top)= 6 feet/2=3 feet
Let plug in the formula
V =πh/3 [(8)²+ (2) (3) + (3) ²]
V =πh/3×8×19
V=152 π/3
Hence:
Volume of the cup in gallons=152 π/3 ×7.5
Volume of the cup in gallons=477.52208334564/3×7.5
Volume of the cup in gallons=1,193.8gallons
Therefore the volume of the cup is: 1,193.8 gallons.
Learn more about volume here:https://brainly.com/question/23648151
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
Step-by-step explanation:
Pythagoteon Theorem:
[tex]a^2+b^2=c^2[/tex]
So:
[tex]a^2+2^2=4^2[/tex]
[tex]a^2+4=16[/tex]
[tex]a^2=12[/tex]
[tex]\sqrt{a} = \sqrt{12}[/tex]
[tex]a = 3.464101615[/tex]
Select the polynomial that is a perfect square trinomial.
A. 9x2 + 9x + 1
B. 36b2 − 24b + 8
C.16x2 + 24x + 9
D.4a2 − 10a + 25
Answers
Answer:
option c 16x²+24x+9
please mark me as brainlist
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answers
For Cylinder:
SA = 578.05 yd^3
V = 955.04 yd^3
For Trapezoidal Prism:
SA = 510.4 ft^2
V = 275 ft^3
Cylinder: Second Image
diameter - D
area - A
radius - R
height - H
volume - V
surface area - SA
PI = 3.14159...
R = D/2
R = 8/2
R = 4 yd
Surface Area:
SA = 2×PI×R×H + 2×PI×R^2
SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)
SA = 578.05 yd^3
Volume:
V = PI×(R^2)×h
V = 3.14159×(4^2) × 19
V= 955.04 yd^3
Trapezoidal Prism: First Image
lateral area - LA
area of base - BA
base - B
width - W
height - H
volume - V
surface area - SA
Volume:
V = BA × H
V =( L×W + 0.5(B×H)) × H
V = (5×7 + 0.5(8×5)) × 5
V = 275 ft^3
Surface area:
Lateral area is the sum of all the areas excluding the area of the base.
LA = a×l + b×l + c×l + d×l
LA = l(a+ b + c + d)
LA = 11(5 + 9.4 + 15 + 7)
LA = 400.4 ft^2
BA = L×W + 0.5(B×H)
BA = 5×7 + 0.5(8×5)
BA = 55 ft^2
SA = 2×BA + LA
SA = 2×55 + 400.4
SA = 510.4 ft^2
PQRS is a rectangle and OS = 16. Find the blanks below:
mments
ssions
S
R
es
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О
s
bus
P
O
zes
dules
OQ =
16
BlueButton
aborations
PR =
ogle Drive
uce 365
mZQRS =
ogle Drive
Answers
Answer: 48
Step-by-step explanation:
An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. what is the volume of the oblique cone? round to the nearest tenth. 142.4 cubic units 142.4 square units 196.0 cubic units 196.0 square units
Answers
The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches
Volume of a coneThe formula for calculating the volume of an oblique cone is expressed as:
V = (1/3) * π * r² * h.
where
r is the radius
h is the height
Given the following parameters
r = 4 units
h = 8.5 units
Substitute
V = (1/3) * 3.14 * 4² * 8.5.
V = 142.4 cubic inches
Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches
Learn more on volume of cone here: https://brainly.com/question/1082469
Answer: 142.4
Step-by-step explanation:
24.2 16.9 6.7 Per. =
Answers
Check the picture below.
PLEASE HELP ASAPPP IM TIMED
Answers
[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]
Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.
Answers
Answer:
you can find the aswer in the question and the in the frist sentes of the question
Step-by-step explanation:
-5x+2<12 please someone help
Answers
Answer:
[tex]\boxed{\sf{x > -2}}[/tex]Step-by-step explanation:
Put the term x on one side of the equation.
-5x+2<12Subtract by 2 from both sides.
[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]
Solve.
Subtract the numbers from left to right.
⇒ 12-2=10
⇒ -5x<10
Multiply by -1 from both sides.
⇒ (-5x)(-1)>10(-1)
Solve.
Multiply the numbers from left to right.
-5x*-1=5x
10*-1=-10
→ 5x>-10
Divide by 5 from both sides.
→ 5x/5>-10/5
Solve.
Divide the numbers from left to right.
-10/5=-2
[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]
Therefore, the correct answer is x>-2.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]x > -2[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5x+2 < 12[/tex]
To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.
[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]
Which means your answer is "x > -2."
Hope this helps.
WILL GIVE BRAINLIEST The points Q(0,1), R(-9,-5), s(-7, -8), and T(2,-2) form rectangle QRST. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle.
Answers
well, we know its a rectangle, so hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]
[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]
Does anyone know the answer to this?
Answers
Answer:
Excuse me, Where is the question??
Dante is solving the system of equations below.
r+S-=-4
2r-35+=1
3r-2s+21= 3
He writes the row echelon form of the matrix. Which matrix did Dante write?
Answers
Answer:
The answer is the first matrix. Image attached.
Step-by-step explanation: Given that Dante is solving the system of equations:
In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.
We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.
In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have
r = -1, s = 0 and t = 3.
If we substitute these values in the given system, it will get satisfied.
Thus, the first matrix, attached herewith, is the correct matrix.
2(7+1)divided by 4+5
Answers
1=9
I need help with this question.
Answers
Step-by-step explanation:
the volume of a cylinder is as for any regular shaped object
ground area × height
here the ground area is a circle, so we get
pi×r²×h
with r being the radius (half the diameter), and h the height.
therefore,
pi×(2.7/2)²×10 = 3.14×1.8225×10 = 57.25552611... cm³
so, the first option is correct.
Convert 3 kilometres into metres
Answers
Answer:
3000m
Step-by-step explanation:
First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.
A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.
Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.
Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.
3 x 10^3
= 3000
3 km
= 3000 m
Answer:
3000 m
Step-by-step explanation:
Unit conversion :
1000 m = 1 kmSolving :
Let the missing value be 'x' mThen, according to this ratio :x/3 = 1000/1x = 1000 * 3x = 3000 mFind the length of b to the nearest tenth.
(BRAINLIEST :D)
Answers
Answer:
1.7
Step-by-step explanation:
You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.
Bill can paint a closet in 2 hours. Joe can paint the same in 7 hours. Write equation that can used to find long paint the closet working together. Let represent the number both to complete the job.
Answers
Answer:
14/9 hours
Step-by-step explanation: 1/2+1/7=9/14, so 1/(9/14)=14/9
Help!
just pick the right option thanks
Answers
Answer:
A:)
Step-by-step explanation:
l and lll
a porsche, can travel 576 m in 32 s. what is its average speed?
Answers
Step-by-step explanation:
Displacement = 576 m
Time taken = 32s
Now
[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]
A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?
Answers
Answer:
$76.80
Step-by-step explanation:
since you can't multiply to more easially get your answer you want to divid ethe $51.20 by 2 which = $25.60
he get's 25.60 for 40 miles
since 120 divided by 3 = 40 this means:
40x3=120
25.60x3=76.80
25.60+25.60=51.20+25.60= 76.80
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
NEED HELP ASAP GEOMETRY
Answers
Answer:
BBCADD that is the awnser
Step-by-step explanation:
or a triangle XD
What is the volume of a rectangular prism with a length of 10 inches, a width of 5 inches, and a height of 8 inches?
Answers
Answer:
400 in.
Step-by-step explanation:
V= l x w x h
V=10 x 5 x 8 =400 in.
(7.8 x 10^3) (1.0 x 10^4) =?
Answers
Answer:
78000000
Step-by-step explanation:
(7.8 x 10^3) (1.0 x 10^4) =?
Yo I need to bring up my math grade bad so
y>-x+4
(please show it graphed already :D
Answers
Answer: See attached
Step-by-step explanation:
y > -x + 4
[] The line will be dashed as this is only greater than, not greater than an equal to like ≥
[] We will shade above the line because the values are greater than
[] The line will have a slope of negative one
[] The line will have a y-intercept of 4
If you need more than the graph and the details above please let me know.
What is the resulting product of 4 × 8 and description of the product?
Answers
Answer:
32
Step-by-step explanation:
The answer is 32 because 8 x 3 is 24 so then just add 8
The illustration below shows the graph of
y
yy as a function of
x
xx.
Complete the following sentences based on the graph of the function.
(Enter the
x
xx-intercepts from least to greatest.)
This is the graph of a
function.
The
y
yy-intercept of the graph is the function value
y
=
y=y, equals
.
The
x
xx-intercepts of the graph (in order from least to greatest) are located at
x
=
x=x, equals
and
x
=
x=x, equals
.
The greatest value of
y
yy is
y
=
y=y, equals
, and it occurs when
x
=
x=x, equals
.
For
x
xx between
x
=
2
x=2x, equals, 2 and
x
=
6
x=6x, equals, 6, the function value
y
yy
0
00.
Answers
This is the graph of a NON-LINEAR FUNCTION
The y intercept of the graph is the function value y=-6
The x intercepts of the graph are located at x=2 and x=6
The greatest value of y is y= 2 and it occurs when x=4
For x between x=2 and x=6, the function value y≥0
Hope this helped :>
