The keyboard on a particular computer has a rectangular shape where the length is 332 mm and the width is 141 mm. Find the perimeter of the rectangle defined by this keyboard.
Answers
Answer:
946 mm
Step-by-step explanation:
(332*2)+(141*2)
Related Questions
A map of a highway has A scale of 2 inches= 27 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You’re making a new map with a scale of 1 inch= 30 miles. How far apart are the rest stops on the new map?
Answers
Answer:
From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."
Step-by-step explanation
Im sorry if none of these answers are correct.
Please help! I will give fifty points and brainiest if you answer and get it right.
Answers
Answer: The tourist was in the taxi for 23 miles.
Step-by-step explanation:
Step-by-step explanation:
speed =4 miles/hour
distance travelled =31 miles
we have
speed =distance/time
time =31/4hour
for taxi
time =2hours
speed =50mph
distance covered by taxi =?
we have
speed =distance /time
50=distance/2
distance =50×2=100miles
At the gas station, three small drinks and two large drinks contain 108 ounces of cola. A small drink contains a third as much cola as a large drink. How much cola does each size contain (I need to write an equation)
Answers
Small drink: 12 ounces
Large Drink: 36 ounces
Explanation
Step 1
set the equations
let x represents the number of ounces of one small drink
let y represents the number of ounces of a large drink
hence
a)three small drinks and two large drinks contain 108 ounces of cola
\(3x+2y=108\rightarrow equation(1)\)b)A small drink contains a third as much cola as a large drink
\(x=\frac{1}{3}y\rightarrow equation(2)\)Step 2
solve the equations
\(\begin{gathered} 3x+2y=108\rightarrow equation(1) \\ x=\frac{1}{3}y\rightarrow equation(2) \end{gathered}\)a) replace the x value from equation (2) into equation (1) and solve for y
\(\begin{gathered} 3x+2y=108\rightarrow equation(1) \\ 3(\frac{1}{3}y)+2y=108\rightarrow equation(1) \\ y+2y=108 \\ 3y=108 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{108}{\cdot3} \\ y=36 \end{gathered}\)b) now, replace the y value into equaiton (2) to find the x value
\(\begin{gathered} x=\frac{1}{3}y\rightarrow equation(2) \\ x=\frac{1}{3}36 \\ x=12 \end{gathered}\)therefore:
Small drink: 12 ounces
Large Drink: 36 ounces
I hope this helps you
Find the hypotenuse of a right triangle with a side of 6 and a side of 8
Answers
Given the information, we have the following:
Using the pythagoeran theorem, we get:
\(\begin{gathered} c^2=a^2+b^2 \\ \Rightarrow c^2=6^2+8^2=36+64=100 \\ \Rightarrow c^2=100 \\ \Rightarrow c=\sqrt[]{100}=10 \\ c=10 \end{gathered}\)Therefore, the hypotenuse is c=10
6/10 + 5/100
is it
65/100 or 65/110 or 56/100 or 56/110
Answers
Answer:
65/100 that is the answer to this question
Misty’s surgery lasted 214 hours. Convert the time to seconds.
Answers
Answer:
770,400
Step-by-step explanation:
770,400 seconds
Solve the triangle, if possible.
C=61° 50, c=31.2, b=23.6
Answers
a=34.697, only one triangle is formed.
And B=40°.7'
A≈77°.79'.So, option A is correct.
What is meant by triangle?Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.
Given,
C=61° 50, c=31.2, b=23.6
Sine rule:
sin B/b=Sin C/c
sin B=b sin C/c
=(23.6 sin 61° 50)/31.2
sin B=0.65219
sin B=139.3
A+B+C=180
A=180-B-C
A=180-139.3-61.50
A= -20.8 which is not possible.
Because the angle must be positive.
sin B=sin 40.70
A+B+C=180
A=180-40.70-61.50
A=77.79'
sin A/a=sin C/c
a=c sin A/sin C
So, a=34.697
Only one triangle is formed
And B=40°.7'
A≈77°.79'
Hence, option A is correct.
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3. When Ahmad goes to work, he has to pass through two sets of traffic lights, P and Q. The
7
probability that he has to stop at P is
The probability that he has to stop at Q, given that he has
20
to stop at Pis
stop at P is
2
5
7
The probability that he does not have to stop at Q, given that he does not have to
10
(a) Construct a tree diagram to represent the above information..
(b) Find the probability that he has to stop at both P and Q.
(c) Find the probability that he has to stop at least once.
(d) If he has to stop at Q, what is the probability that he would have stopped at P.
[3 marks]
[2 marks]
[2 marks]
[3 marks]
Answers
P(stop at P|stop at Q) = P(stop at P and stop at Q) / P(stop at Q) is 28/47
How to solve questions?
(a) Tree diagram:
| P stop 7/20
|
-------|-------
| |
Q stop| P stop 2/5 | P not stop 3/5
| |
------|------- |
| |
Q not stop| P stop 1/10 | P not stop 9/10
| |
-------|-------
|
| P not stop 13/20
(b) The probability that he has to stop at both P and Q is:
P(stop at P) * P(stop at Q|stop at P) = (7/20) * (2/5) = 7/50
(c) The probability that he has to stop at least once is:
P(stop at P and/or stop at Q) = 1 - P(not stop at P) * P(not stop at Q|not stop at P)
= 1 - (13/20) * (9/10) = 11/20
(d) If he has to stop at Q, the probability that he would have stopped at P is:
P(stop at P|stop at Q) = P(stop at P and stop at Q) / P(stop at Q)
= (7/50) / (13/20 * 2/5 + 7/50)
=28/47
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By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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Corrine is purchasing beads to make a new necklace and bracelet set. The two pieces of jewelry each need silver and green beads. The necklace requires 25 silver beads and 15 green beads. The bracelet requires 10 silver beads and 5 green beads. Corrine paid $27.50 for the necklace beads and $10 for the bracelet beads. How much does each silver bead cost? How much does each green bead cost? Be sure to show your work and explain your answer.
Answers
Each silver bead costs $0.50, and each green bead costs $1.
Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.
According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.
The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.
Using this information, we can set up the following system of equations:
25s + 15g = 27.50 (Equation 1)
10s + 5g = 10 (Equation 2)
We can solve this system of equations using any appropriate method, such as substitution or elimination.
Let's use the elimination method to solve the system:
Multiplying Equation 2 by 3, we get:
30s + 15g = 30 (Equation 3)
Subtracting Equation 3 from Equation 1:
25s + 15g - (30s + 15g) = 27.50 - 30
-5s = -2.50
s = 0.50
Now, substituting the value of s into Equation 2:
10(0.50) + 5g = 10
5 + 5g = 10
5g = 5
g = 1
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write the fraction of rentals that were horror movie
Answers
Answer:
1/20
Step-by-step explanation:
if you add them all up it equals 100.And 5% was horror movies. 5/100 you divide both the top and the bottom by 5 and you get 1/20... I hope that this helpful
Select the correct answer.
What is the value of x?
The picture shows a triangle. The length of the right sideline is x and the base is 15. The angle of the left vertex is 45 degrees.
A.
7.5
B.
10.6
C.
15
D.
21.2
Answers
The value of x is approximately 10.6. So, the correct answer is B. 10.6
To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.
Using the sine function, we have:
sin(45 degrees) = x / 15
To solve for x, we can rearrange the equation:
\(x = 15 \times sin(45 degrees)\)
Using the exact value of sin(45 degrees) (which is √2 / 2), we have:
\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)
x = 7.5√2
Therefore, the correct answer is B. 10.6.
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Cann you help me with this using scale factor? PLEASE
Answers
Let's begin by listing out the information given to us:
There are 2 triangles in the picture:
\(\begin{gathered} h_1=h,h_2=6\frac{1}{2}ft=\frac{13}{2}ft,b_1=31\frac{1}{2}ft=\frac{63}{2}ft,b_2=9ft \\ h\colon\frac{13}{2}=\frac{63}{2}\colon9\Rightarrow\frac{h}{\frac{13}{2}}=\frac{63}{2\cdot9}\Rightarrow\frac{2h}{13}=\frac{63}{2\cdot9} \\ 2h=\frac{63\cdot13}{2\cdot9}\Rightarrow2h=\frac{7\cdot13}{2} \\ h=\frac{7\cdot13}{2\cdot2}=\frac{91}{4} \\ h=22\frac{3}{4}ft \end{gathered}\)
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
Answers
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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can some one help, Write the inequality 3x - y > -4 in slope intercept form
Answers
Answer:
\(y < 3x+4\)
short explanation:
1) the common view of slope-interception form is:
y < slope*x+intercept or y>slope*x+intercept. Then
2) according the form above:
3x-y>-4;
y<3x+4.
Choose the best definition for the following term: variable
Answers
Step-by-step explanation:
a variable is a quantity that may change within the context of a mathematical problem or experiment
I hope this was helpful
help. use the figure shown to the right to find the value of x
Answers
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
What is the actual distance of 9 cm on a map whose scale shows that 3 cm = 5 km?
A) 15 km
B) 12 km
C) 18 km
D) 21 km
Answers
Answer:
\(\boxed{15 km}\)
Step-by-step explanation:
→ Write out the scale
3 cm = 5 km
→ Multiply everything by 3 to get 9 cm on the left side
9 cm = 15 km
What is 43% of 166? (Round to the nearest whole number)
Answers
A. 31.2
B. 39.6
C. 62.5
D. 79.2
Answers
Answer:
a
Step-by-step explanation:
Which ratio is equivalent to 4:5?
10
15
4
10
16.
20
15
풍
Answers
Answer:
16;20
Step-by-step explanation;
you can both multiply by 4
4 x 4 = 16 and 5 x 4 = 20.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brandon invests $5800 in two different accounts. The first account paid 3 %, the second account paid 8 % in interest. At the end of the first year he had earned $229 in interest. How much was in each account?
$ ___ at 3 %
$ ____ at 8 %
Answers
Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest. The total interest earned after one year is $229
How much was in each account?
Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:
\(x + y = 5800\)
The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:
\(0.03x + 0.08y = 229\)
We now have two equations with two unknowns:
\(x + y = 5800\)
\(0.03x + 0.08y = 229\)
We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.
Solve the first equation for x:
\(x = 5800 - y\)
Substitute this expression for x into the second equation and solve for y:
\(0.03(5800 - y) + 0.08y = 229\)
\(174 - 0.03y + 0.08y = 229\)
\(0.05y = 55\)
\(y = 1100\)
Now substitute this value of y into either equation to solve for x:
\(x + 1100 = 5800\)
\(x = 4700\)
Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.
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The graph of the function B is shown below. If B(x) = -1, then what is x? -1 1 2 NEXT QUESTION
Answers
Answer:
x is -1/b yw
Step-by-step explanation:
Which symbol correctly relates 23 ? 16 check all that apply
Answers
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Identify the domain and range of the graph.
Answers
Answer:
Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)
Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)
Step-by-step explanation:
Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)
Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)
Solve the equation using Gauss Naïve method, a) 3x1 − 2x2 + x3 = −10, 2x1 + 6x2 − 4x3 = −10, −8x1 − 2x2 + 5x3 = −26
Answers
Answer:
Step-by-step explanation:
Given the system of equation
3x1 − 2x2 + x3 = −10 ............. 1
2x1 + 6x2 − 4x3 = −10 ............ 2
−8x1 − 2x2 + 5x3 = −26 ............... 3
Reduce the system of equations:
multiply equation 1 by 3 and add to 2
Eqn 1 * 3 gives;
9x1 − 6x2 + 3x3 = −30
Add to equation 2:
9x1+2x1 +(3x3-4x3) = -30-10
11x1 - x3 = -40 ........... 4
multiply eqn 3 by 3 and add to eqn 2
eqn 3 * 3 gives
−24x1 − 6x2 + 15x3 = − 78
Add to eqn 2:
-24x1+2x1)+15x3-4x3 = -78-10
-22x1 + 11x3 = -88 ......... 5
solve 4 and 5:
11x1 - x3 = -40 ........... 4 * 2
-22x1 + 11x3 = -88 ......... 5 * 1
.....................................................
22x1 - 2x3 = -80
-22x1 + 11x3 = -88
Add together:
-2x3 + 11x3 = -80-88
9x3 = -168
x3 = -168/9
x3 = 18.7
subtitute x3 = 18.7 into 4
11x1 - 18.7 = -40
11x1 = -40+18.7
11x1 = -21.3
x1 = -21.3/11
x1 = -1.93
Substitute x1 and x3 into 1
3(-1.93)− 2x2 + 18.7 = −10
- 5.79-2x2 = -28.7
-2x2 = -18.7 +5.79
-2x2 = -22.91
x2 = 11.455
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answers
Answer:
65
Step-by-step explanation:
Hi,
Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.
I hope this helps :)
Answer:
65
Step-by-step explanation:
The sum of the three angles of any triangle is equal to 180 degrees
the main beam to a circus tent is 75 feet tall and is supported by 120 foot wires that extend to the ground. To the nearest degree, what is the angle that is created from the wire and the ground? The angle that is created from the wire and the ground is ______ degrees.
Answers
Let's first draw a diagram of the situation
Let's call the missing angle a, then using the definition of the sine function, we have that
\(\sin (a)=\frac{75}{120}\)then, we can take inverse sine in both sides of the equality to clear a
\(a=\sin ^{-1}(\frac{75}{120})=38,68218745\)and rounding to the nearest degree, the answer will be 39 degrees.
I’m not very good at math so I need the answer for this can anyone help me out with the answers 20 points worth
Answers
Answer:
\(2^{-4}\) = \(\frac{1}{16}\)
~ 2 x 2 x 2 x 2 is 16, but since the exponent is a negative it would be 1/16
\(2^{5}\) = 32
~ 2 x 2 x 2 x 2 x 2 is 32
\(5^{-2}\) = \(\frac{1}{25}\)
~ 5 x 5 is 25, but since the exponent is a negative, it would be 1/25
\(5^{3}\) = 125
~ 5 x 5 x 5 is 125
(When the exponent is a negative, the answer will be a fraction)
Hope this helps!
Mark as brainliest :)
Answer: See below
Step-by-step explanation:
For this problem, it is important to know the exponent properties. If something is to a negative power, you know that it is going to be an inverse, meaning it becomes 1 over the power.
2⁻⁴
Since this exponent is negative, we know it is going to be 1 over to make it positive.
1/2⁴=1/16
------------------------------------------------------------------------------------------
2⁵
This exponent is positive. Therefore, we can just multiply 2 by 2 five times.
2⁵=32
------------------------------------------------------------------------------------------
5⁻²
Since this exponent is negative, we know it is going to be 1 over to make it positive.
1/5²=1/25
------------------------------------------------------------------------------------------
5³
This exponent is positive. Therefore, we can just multiply 5 by 5 three times.
5³=125