Answer:
[tex]Width = 36in[/tex]
[tex]Size = 42.02[/tex]
Step-by-step explanation:
Given
[tex]x \to width[/tex]
[tex]y \to height[/tex]
[tex]x : y = 16 : 9[/tex]
Required
The size of [tex]screen[/tex] of height [tex]20,6in[/tex]
First, we calculate the width using the following equivalent ratios
[tex]16: 9 = x : 20.6[/tex]
Express as fraction
[tex]\frac{16}{ 9} = \frac{x }{ 20.6}[/tex]
Solve for x
[tex]x = 20.6 * \frac{16}{ 9}[/tex]
[tex]x = 36.62[/tex]
Hence:
[tex]Width = 36in[/tex] --- approximated
So, we have:
[tex]x = 36.62[/tex]
[tex]y =20.6[/tex]
The size (diagonal) is then calculated using:
[tex]Size = \sqrt{x^2 + y^2[/tex]
[tex]Size = \sqrt{36.62^2 + 20.6^2[/tex]
[tex]Size = \sqrt{1765.3844[/tex]
[tex]Size = 42.02[/tex]
[tex]Size =42in[/tex] --- approximated
A bag contains 6 blue coins and 7 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction.
The probability that the removed coin is blue is ———
Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?
Answer:
Chase would be 24 years old
Please help me I beg you, I don’t understand and no one wants to help
Answers:
x = 51
y = 39
===========================================================
Explanation:
The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.
One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.
Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y
x+y = 90
51+y = 90
y = 90-51
y = 39
Find the area of the regular polygon. Round to the nearest tenth
In the accompanying figure, the measure of minor arc AB is 100. Find the measure of inscribed angle ACB.
Show the work please !
9514 1404 393
Answer:
50°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the arc it intercepts.
∠ACB = 1/2 arc AB = (100°)/2
∠ACB = 50°
Can you help me plisss:(
Step-by-step explanation:
x = (7±√193)/18
25/22 as a decimal rounded to the nearest hundredths
Answer:
Hi there!
Step-by-step explanation:
First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)
Hope you enjoy!
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300and $350
Answer:
2.35
Step-by-step explanation:
Simplify the expression:
4g+1+10g+8g
Answer:
22g+1
Step-by-step explanation:
collect like terms
22g+1
Answer:22g+1
Step-by-step explanation:
Is this a function?
9514 1404 393
Answer:
no
Step-by-step explanation:
For the graph to represent a function, no vertical line may intersect it in more than one place. This graph does not pass the "vertical line test" so does not represent a function.
which statement corresponds to the conjunction x > -5 and x < 14
Answer:
-5 < x < 14
Step-by-step explanation:
-5 < x < 14
hope it is helpful to you ☺️
The length of a rectangle is 6 more than the width. The area is 55 square inches. Find the dimension
Answer:
w = 5 inches
l = 11 inches
Step-by-step explanation:
peter is 13 years old peters father is 6 years more than twice her age. how old is Peter's father
Answer:
32 years old.
Step-by-step explanation:
13 times 2 is 26, and 6 added to 26 is 32.
I hope this helps, have a nice day.
What’s the answer to this answer fast please
Answer:
Hello! answer: 25
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!
Find the greatest common factor of 56, 42, and 98.
Question 13 options:
A)
7
B)
36
C)
14
D)
24
Answer:
C, 14
Step-by-step explanation:
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14. (The greatest factor that they all have in common.)
Please vote brainliest, thanks!
Use trigonometric ratios to solve each right triangle. Be sure to rationalize the denominators when you write your answers.
Answer:
[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]
what is the slope of a line perpendicular to 3x+2y = 7?
Answer:
2/3
Step-by-step explanation:
First find the slope of the line
3x+2y = 7
Subtract 3x
2y = -3x+7
Divide by 2
y = -3/2x +7/2
This is in slope intercept form y = mx+b where m is the slope
The slope is -3/2
A line perpendicular is the negative reciprocal
-1/(-3/2)
2/3
The slope of the perpendicular line is 2/3
Answer:
Slope of the line perpendicular to the given line = 2/3
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
That is,
[tex]slope_{1} \times slope _ 2 = - 1\\[/tex]
Given equation of the line :
3x + 2y = 7
2y = - 3x + 7
[tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]
[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]
Find slope of the line perpendicular to the given line:
[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]
shudjendndnndndjfjjjjfndjdndnjdjdjdj
Answer:
the answer is 31°...........
(x+3)²+(y+1)²=2 jjjjjjjjjjjju
Answer:
x²+y²+6x+2y = -8
Step-by-step explanation:
The given equation is:
(x+3)²+(y+1)²=2
We know that, (a+b)² = a²+b²+2ab
Using above property
x²+9+6x+y²+1+2y = 2
x²+y²+6x+2y+10 = 2
x²+y²+6x+2y = -8
Hence, this is the required solution.
In Rosewood City, the library is 6.5 miles fue south of the courthouse and 3.4 miles due west of the community swimming pool. What is the distance between the courthouse amd the community swimming pool?
If necessary, round your answer to the nearest tenth.
Answer:
7.3 miles
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3.4^2 + 6.5^2 = h^2
11.56+42.25=h^2
53.81= h^2
Taking the square root of each side
sqrt(53.81) = sqrt(h^2)
7.335529974=h
Rounding to the nearest tenth
7.3 =h
The functions f(x) and g(x) are shown on the graph.
f(x) = 11
What is g(x)?
10
у
g(x) = ?
f(x) = [X]
10
-5
10
-5
-10
A. g(x) = 1 1 - 3
B. g(x) = (x+31
C. g(x) = \x{ + 3
D. g(x) = 1x - 31
The function g(x) is g(x) = Ix + 3I.
The correct option is B.
What is transformation on the graphs?The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
horizontally moving the f(x) k unit coordinates may be drawn.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
Given that the parent function is f(x) = IxI.
From the definition,
the transformed function is moved horizontally to 3 units to the right.
So, the function is g(x) = Ix + 3I.
Therefore, g(x) = Ix + 3I.
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
#SPJ7
GIVING OUT BRAINLIEST HELP ME OUT PLEASEE!!!
Answer:
20.9
Step-by-step explanation:
Circumference = 10 * 2 * pi = 62,831853
lenght of the arc
62,831853 : 360 = x : 120
x = (62,831853 * 120)/360 = 20.9
Which expression is equivalent to (2g^5)^3/(4h^2)^3
Answer:
g^15/8h^6 is the simplified version of the equation which also equals the same thing :)
Answer:
The answer is A
Step-by-step explanation:
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
5
Answer:
x = 10
Step-by-step explanation:
In an equilateral triangle, the altitude, or height is also the median and angle bisector. So, we can say a side of the equilateral triangle is 2 x 5 or 10. Every side of an equilateral triangle is congruent, so x is 10.
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has an approximate normal distribution with mean 50 and a standard deviation 10. Use the Empirical Rule to determine the approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70.
Answer:
The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.
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 = 50, standard deviation = 10.
Between 20 and 70.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
20
20 = 50 - 3*10
So 20 is 3 standard deviations below the mean. Of the 50% of the measures below the mean, 99.7% are within 3 standard deviations of the mean, that is, above 20.
70
70 = 50 + 2*10
So 70 is 2 standard deviations above the mean. Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, that is, below 70.
Percentage:
0.997*50% + 0.95*50% = 97.35%
As a proportion, 97.35%/100 = 0.9735.
The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.
What is the missing number?
3
8
-2
7
4
5
1
10 12 3
The missing number is...
Answer:
9
Step-by-step explanation:
10-7=3
12-4=8
3-5=-2
9-1=8
Hope this helped :)
Evaluate the function graphically. Find (-6)
Answer:
5
Step-by-step explanation:
just see where x=-6
7. Identify the appropriate mixed number for the picture shown.
A. 172
B. 214
C.212
D.3
Mark for review (Will be highlighted on the review page)
Answer:
it's 2 1/2
Step-by-step explanation:
Because 2 box are shade in and the last box is half shade
How many centimeters are equal to 7 meters? Enter your answer in the box.
Answer:
56 but i could be wrong
Step-by-step explanation:
How can you compare properties of two functions each represented in a different way?
Step-by-step explanation:
there are three ways to compare functions that is Madhavi Kali numerically and graphically latest compared to function numerical letters considered an example of y equals to 3 X + 5 in this example why is a dependent of ex so in other words if we keep on sending the value of x then why will increase as well