Answer:
Step-by-step explanation:
The given hexagon has interior angles
x,x,x, x/2, x/2, x/2 for a total of S1=4.5x.
We also know that the sum of interior angles of any polygon of n sides is
S2=180(n-2)
For a hexagon, S2 = 180(6-2) = 720°.
Equating S1 and S2
4.5x = 720
x = 720/4.5 = 160.
Therefore substitute x in the given angles to get
{160°,160°.160°,80°,80°,80°}
If a ladder reaches 10 feet up on a wall while the base is 3 feet away how tall is the ladder
Answer:
Side a = 10.44031
Side b = 10
Side c = 3
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad
Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad
Please help me with this math
Answer:
20
Step-by-step explanation:
2(3p+4)
Let p=2
2(3*2+4)
Multiply inside the parentheses
2(6+4)
Add inside the parentheses
2(10)
Multiply
20
Hola aquí va la respuesta!!!
[tex]20[/tex]
[tex] \saludos[/tex]
Pls can someone help me
Answer:
I'm sorry but the question is not clear enough for me to understand the question asked snap the entire question
Which of these values represents the largest distance?
A. 0.5 miles
B. 5,000 feet
C. 500 yards
D. 5,000 inches
Answer:
A
Step-by-step explanation:
I hope this helped you :-)
B. 5,000 feet
0.5 miles is only 3,390ft
500 yards is only 1,500ft
5,000 inches is only 416ft 8in
Hope this helps! :)
A prism and two nets are shown below: 3 in. 5 in. 7.2 in. 4 in. Prism B В B A с А D D Net A Net B Part A: Which is the correct net for the prism? Explain your answer. (2 points) Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points) Part C: What is the surface area of the prism? Show your work. (4 points)
9514 1404 393
Answer:
net A is correctsurface area is 98.4 square inchesStep-by-step explanation:
Part A:
The two right-angle corners of the triangular bases are at either end of the same edge. This is only shown correctly in Net A.
__
Part B:
See the attached annotated diagram. Dimensions are in inches.
__
Part C:
The total surface area is the sum of the three central rectangles of the net and the two triangles. As shown in the attached, the two triangles can be considered as one rectangle of dimensions 3 in by 4 in.
The total area is ...
Surface area = base area + face area
= (3 in)(4 in) + (3 + 4 + 5 in)(7.2 in) = 12 in² +86.4 in²
Surface area = 98.4 in²
Find the area of the triangle. round your answer to the nearest tenth
Answer:
use photo math
Step-by-step explanation:
cuz i said so
Which expression is equivalent to
Answer:
D
Step-by-step explanation:
x^2 - 7x + 12 + (x - 3)^2 Add (x - 3)^2 after it has been expanded.
x^2 - 7x + 12 + x^2 - 6x + 9 Combine like terms
2x^2 -7x - 6x + 21
2x^2 - 13x + 21 Factor
(2x - 7)(x - 3)
Which is exactly what D says.
Given (x+y)^12, find the coefficient of the 7th term.
200
495
792
924
Answer: 924
Step-by-step explanation:
1. Use the combination formula nCr = n!/(n-r)!r!
Using this formula gets you 16 (n) C 6 (r) = 12!/6!6! Which is also 12 • 11 • 10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 / 6 • 5 • 4 • 3 • 2 • 1 • 6 • 5 • 4 • 3 • 2 • 1
2. Cancel out matching multiples that are in the numerator and denominator
This gets you 12 • 11 • 10 • 9 • 8 • 7 / 6 • 5 • 4 • 3 • 2 • 1 or 665280/720 when you simplify which leads you to the answer 924
Hope this helps!
Answer:
924
Step-by-step explanation:
Find the general solution to y" – 8 y' + 15 y=0.
Answer:
y" - 8y' + 15y = 0
2nd order Homogeneous DE.
Solving Quadratically
k² - 8k + 15 = 0
k= 5 or k= 3.
Two real and Unequal roots.
y= Ae^5x + Be^3x.
Twelve skateboards have 48 wheels. What is the value of the ratio of skateboards to wheels, in simplest form? A. 1/4 B. 4/12 C. 12/48 D. 16/20
Answer:
1/4
Step-by-step explanation:
Skateboards : wheels
12 : 48
Divide each part by 12
12/12 : 48/12
1 :4
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
There are Twelve skateboards have 48 wheels.,
we need to find the ratio of skateboards to wheels, in simplest form;
Hence,
Ratio of skateboard to wheel
[tex]\sf{\dfrac{skateboard}{wheels} }[/tex] [tex]\sf{\dfrac{12}{48} }[/tex] [tex]\sf{\dfrac{\cancel{12}^{^{1}}}{\cancel{48}_{_{4}}} }[/tex] [tex]\bold{\dfrac{1}{4} }[/tex]Helpppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
Suppose that salaries for recent graduates of one university have a mean of $24,800 with a standard deviation of $1100. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $21,500 and $28,100
Answer: The mininum percentage of recent graduates is 88.9%
Step-by-step explanation:
We are given:
Mean value = $24,800
Standard deviation = $1100
Minimum value of salary = %21,500
Maximum value of salary = %28,100
The equation for Chebyshev's Theorem is given by:
[tex]\%=1-\frac{1}{k^2}[/tex] .....(1)
To calculate the value of 'k', we first subtract the mean value from the maximum value.
⇒ [28,100 - 24,800] = 3300
Secondly, dividing the above-calculated value by the standard deviation, we get:
[tex]\Rightarrow \frac{3300}{1100}=3=k[/tex]
Putting value of 'k' in equation 1, we get:
[tex]\%=1-\frac{1}{3^2}\\\\\%1-\frac{1}{9}\\\\\%=\frac{8}{9}=88.9\%{[/tex]
Hence, the mininum percentage of recent graduates is 88.9%
For which equation is the solution set {-5,2}? *
Step-by-step explanation:
14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.
When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 68% of her commute times.
Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
-3(4x-6)=7-12x(solve)(show work)
Hi there!
»»————- ★ ————-««
I believe your answer is:
There is no solution to the equation.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The population of rabbits on an island is growing exponentially. In the year 1992, the
population of rabbits was 220, and by 1997 the population had grown to 400. Predict
the population of rabbits in the year 2000, to the nearest whole number.
Answer:
572.6
Step-by-step explanation:
400 = 220 [tex]x^{5}[/tex]
ln(400/220) = 5 ln(x)
ln(x) = .1195
x = [tex]e^{.1195}[/tex]
x = 1.127
Y = 220[tex](1.127)^{8}[/tex]
Y= 572.6
Anyone no how to do this?..
The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.
20 x 12
20 x 12= 240
12 x 12=144
So the first one will be:
240 x 144
Second:
96 x 96
Third:
96 x 114
Fourth:
240 x 196
Fifth:
240 x 240
Sixth:
120 x 240
What is the approximate sector area of a sector defined by minor arc CB?
Answer:
d. 7.5 cm²
Step-by-step explanation:
Area of sector = central angel/360 × πr²
Central angle = 180° - 84° = 96° (supplementary angles)
BA = radius (r) = ½(6) = 3 cm
Plug in the values
Area of sector = 96/360 × π*3²
= 7.53982238
= 7.5 cm² (nearest tenth)
can anyone help me do the slope for this?
Answer:
The value of the slope is 4
The meaning of the slope is y/x
Step-by-step explanation:
What does t stand for in the projectile motion formula?
Answer:
t stands for time in those formulas
Step-by-step explanation:
and
u is for initial velocity
R is for range
H is height
Solve: x+2/x-4<0
O _4
O -2
-2
-4
Answer:
-2<x<4
Step-by-step explanation:
For [tex]\frac{x+2}{x-4} < 0[/tex], note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.
This means x+2>0 and x-4<0 or x+2<0 and x-4>0.
Lets look at the first scenario (x+2>0 and x-4<0)
x+2>0 and x-4<0
x>-2 and x<4
This means that -2<x<4.
Let’s look at the other scenario (x+2<0 and x-4>0)
x+2<0 and x-4>0
x<-2 and x>4
This means that x must be <-2 and >4 simualtaneously, which is impossible.
Therefore, this only occurs when -2<x<4.
I hope this helps! :)
HELP PLEASE I"LL GIVE 50 POINTS. what is the ratio in simplest form between the length of a side in ΔMNO and the length of it's corresponding side in ΔXYZ
Answer:
1 : 2
Step-by-step explanation: trust
Answer:
3/1 Hope that helps
Step-by-step explanation:
Two parallel lines are crossed by a transversal
What is the value of h?
A. H =60
B. H =80
C. H =100
D. H =120
Answer:
A) h = 60
Step-by-step explanation:
Shown below is a blueprint for a rectangular kennel at a pet hotel.
The blueprint of the rectangular kennel shows one side is 22 feet and another side is 14 feet.
What is the total length of fencing needed to enclose the kennel?
The total length needed is blank feet.
The solution is
Answer:
72 ft.
Step-by-step explanation:
In this problem, we are looking for the perimeter of the kennel. The perimeter of a rectangle has the formula, [tex]P=2l+2w[/tex], where l represents the length of the rectangle and w represents the width of the rectangle. We are given both the length and the width (or simply the two sides) of the rectangle, and all we need to do is plug it into the formula!
[tex]P=2*22+2*14\\P=44+28\\P=72[/tex]
Therefore, it would require 72 ft. of fencing to enclose the kennel.
I hope this helps! Let me know if you have any questions :)
Is god real????
Answer ASAP
depends on what u believe in if u think he existed then yes if you dont then no
Ayuda plissss no entiendo es para hoy no mañana
[tex]\frac{2}{5}[/tex] ÷ 4 = [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{4}{1}[/tex] = [tex]\frac{2}{20} =\frac{1}{10}[/tex]
[tex]\frac{6}{7}[/tex] ÷ 3 = [tex]\frac{6}{7}[/tex] ÷ [tex]\frac{3}{1}[/tex] = [tex]\frac{6}{21}=\frac{2}{7}[/tex]
[tex]\frac{1}{8}[/tex] ÷ 9 = [tex]\frac{1}{8}[/tex] ÷ [tex]\frac{9}{1}[/tex] = [tex]\frac{1}{72}[/tex]
[tex]\frac{5}{6}[/tex] ÷ 5 = [tex]\frac{5}{6}[/tex] ÷ [tex]\frac{5}{1}[/tex] = [tex]\frac{5}{30} =\frac{1}{6}[/tex]
solve the system of equations y=3x+2 y=x^2+2
Step-by-step explanation:
hope it help thanks
pls mark me as brainliest
Determine the number of bars and bar width in the histogram using the following 50 numbers. 26 39 39 22 18 8 52 69 15 2 60 87 98 10 39 50 3 41 62 29 78 97 60 72 65 15 24 14 14 98 50 60 17 82 44 52 91 77 52 71 9 98 36 93 43 86 87 20 93 98
Answer:
10 bars ; width 10
Step-by-step explanation:
Reordering the data given :
2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98
To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;
Range = 98 - 2 = 96
By extending the width slightly on either side, we have 0, 100.
If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;
Now our range = 100 - 0 = 100
Width = 10
Number of bars = range / bar width
= 100 / 10
= 10 bars
how do you figure out the percentage of 19 into 129
Answer:
14.73.
Step-by-step explanation:
Answer:
See image below for answer:)
Step-by-step explanation:
A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .
Answer:
The smallest possible length is 0.83m
Step-by-step explanation:
Given
[tex]Volume = 565L[/tex]
Required
The smallest length of the tank
Since the tank is cubical, then the volume is:
[tex]Volume = Length^3[/tex]
This gives:
[tex]565L= Length^3[/tex]
Express as [tex]m^3[/tex]
[tex]\frac{565m^3}{1000} = Length^3[/tex]
[tex]0.565m^3 = Length^3[/tex]
Take cube roots of both sides
[tex]0.8267m = Length[/tex]
Rewrite as:
[tex]Length = 0.8267m[/tex]
Approximate
[tex]Length = 0.83m[/tex]
