Answer:
Using the formula, we can find that the surface area is 208 in².
Step-by-step explanation:
To find the surface area (SA) for a rectangular prism, substitute its dimensions into the formula and solve.
DimensionsDimensions mean the side lengths of the shape, the height, width and length. We know the dimensions from the question.
Height: h = 6 in
Width: w = 8 in
Length: l = 4 in
FormulaWe will need the formula to find the surface area for rectangular prisms. Note that different shapes have a different formula for finding surface area.
[tex]SA= 2(lw + lh + hw)[/tex]
Substitute the dimensions h = 6in, w = 8in and l = 4in into the formula.
[tex]SA= 2((4\ in)(8\ in) + (4\ in)(6\ in) + (6\ in)(8\ in))[/tex]
Remember order of operations (BEDMAS) when solving. Multiply within the brackets first.
[tex]SA= 2(32\ in^{2} + 24\ in^{2} + 48\ in^{2})[/tex] Add within the brackets.
[tex]SA= 2(104\ in^{2})[/tex] Multiply.
[tex]SA= 208\ in^{2}[/tex] Final answer
Tip: The final answer for area will always have squared units.
∴ The surface area (SA) of the rectangular prism with a height of 6 inches, width of 8 inches, and length of 4 inches is 208 squared inches.
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Answer:
6.1 km
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the lengths of the sides of a right triangle.
c² = a² +b² . . . . a, b are the short sides; c is the hypotenuse
__
The geometry of this problem can be modeled by a right triangle with legs 3.7 km and 4.9 km. The distance of interest is the hypotenuse of the triangle.
c² = 3.7² +4.9² = 13.69 +24.01 = 37.70
c = √37.70 ≈ 6.1
The straight-line distance is about 6.1 km.
An auditorium has a seating capacity of 1500. For an upcoming event community event theater play, tickets cost $4 for adults and $2 for children. At last years play, twice as many children attended as did adults. If the attendance at this year's play has the same ratio, what expression would represent the best estimate of the total amount of money from ticket sales when the auditorium is filled to capacity ?
Answer:
from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children
The diameter of a music CD is 12 centimeters. Find the circumference of a CD to the nearest tenth
PLEASE HELP ASAP PLEASEEEE
show calculations: √(x^2-8x+16) if x≥4
Answer:
If we square both sides then we get
x2-8x+16 = (x-4)2
Now if we expand the right side of the equation we get
x2-8x+16 = (x-4)(x-4)
x2-8x+16 = x2-8x+16
So no matter what x is, the right side will be equal to the left side.
However, if we look at the original equation on the left side, √(x2-8x+16) , the value under the square root symbol has to be greater than or equal to zero (otherwise we get an imaginary number and you might not be working with those yet)
Step-by-step explanation:
So in order for √(x2-8x+16) to be greater than or equal to zero, x has to be greater than or equal to 4. If x is less than 4 you get a negative number. If x is greater than 4, you'll get the same answer on both sides no matter what x is
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 4x - 4x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x - 4) - 4(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4)(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4[/tex]
Now, it's given that ~
[tex]\qquad \sf \dashrightarrow \:x \geqslant 4[/tex]
plug the value of x as 4 :
[tex]\qquad \sf \dashrightarrow \:4 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
So, we can infer that :
Value of the required expression lies in :
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} \geqslant 0[/tex]
it's value is always greater than pr equal to 0, satisfying the given condition ~
(-2,-4)
Oy=(x + 2)² +4
Oy=(x - 2)²-4
Oy=-(x - 2)²-4
Oy=-(x + 2)² - 4
Answer:
[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]
Step-by-step explanation:
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constantFrom inspection of the graph, the vertex (turning point) is (-2, -4).
Substituting the vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-4)[/tex]
[tex]\implies y=a(x+2)^2-4[/tex]
As the parabola opens downwards, [tex]a < 0[/tex]:
[tex]\implies y=-a(x+2)^2-4[/tex]
The curve intercepts the y-axis at (0, -8).
Inputting this into the equation and solving for [tex]a[/tex]:
[tex]\implies -8=-a(0+2)^2-4[/tex]
[tex]\implies -4=-4a[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the graph is:
[tex]y=-(x+2)^2-4[/tex]
Answer:
y = -(x + 2)² - 4
Step-by-step explanation:
Vertex form of an equation :
y = a(x - h)² + k
Vertex = (h, k)Substituting the coordinates of the vertex in the equation :
y = (x -(-2))² + (-4)
y = (x + 2)² - 4
y = -(x + 2)² - 4 (as the graph opens downwards)
Mean = 5 13+14+15+19+19 =
Answer:
14.167
Step-by-step explanation:
assuming you meant 5+13
Find the volume of the trapezoidal prism
Answer:
228 in³
Step-by-step explanation:
Volume of a trapezoidal prism
V = Area x heightFinding Base Area (on the side here)
A = 1/2 x (a + b) x hA = 1/2 x (12 + 7) x 6A = 3 x 19A = 57 in²Volume
V = A x hV = 57 x 4V = 228 in³A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the volunteers of the organization as they came in are 2, 6, 12, 16, 2, 6, 13, 17, 3, 8, 13, 19, 4, 10, 14, 19, and 5.
Pls help. I need the first and third quartile and the median
Answer:
Step-by-step explanation:
Minimum: 2
Quartile Q1: 4.5
Median: 10
Quartile Q3: 15
Maximum: 19
Find the value of cos G rounded to the nearest hundredth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS
(Image above!)
Answer:
[tex]\sf \cos(G)=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = GA = GF = 2H = EG = 4[tex]\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Solve the equation 2(3x-2)=(12x+4)
Answer:
x = -4/3 or -1.3333333....... (infinite)
Step-by-step explanation:
6x-4=(12x+4)
6x-4+4=12x+4+4
6x = 12x + 4 + 4
6 = 12x + 8
6x - 12x = 12x + 8 - 12x
-6 = 12x + 8 - 12x
-6x = 8
-6x/6 = 8/-6
x = 8/-6
x = -4/3
Answer:
[tex]\sf x = -\dfrac{4}{3}[/tex]
Explanation:
Given Expression:
2(3x-2) = (12x+4)Remove Parenthesis:
2(3x) - 2(2) = 12x + 4Multiply Integers:
6x - 4 = 12x + 4Exchange Sides:
12x - 6x = -4 - 4Simplify:
6x = -8Divide Both Sides by 6:
x = -8/6 = -4/3determine if a function or not
The provided graph is not a function because it touches the graph more than one point.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have given a graph of a function.
We can check the whether the given graph is a function or not by drawing a vertical line if the vertical line touches the graph more than two points then the graph is not a function.
The given graph is not a function because it touches the graph more than one point.
Thus, the provided graph is not a function because it touches the graph more than one point.
Learn more about the function here:
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help me iiwh this quesrion
Answer:
3 is $8 and 14 is about 18%
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
since the annual rate is 2% and you wait 6 months which is half a year
you'd get 1% of 800 so it'd be 8.
Please help its a math problem please see image attached
Answer:
(-∞, ∞)
Step-by-step explanation:
Solving :
Lowest x-value is -22 options have the lowest value as 0Hence, the correct option is : (-∞, ∞)How do you find the frequency in statistics?
Answer:
Count the tally marks to determine the frequency of each class. The relative frequency of a data class is the percentage of data elements in that class. The relative frequency can be calculated using the formula fi=fn f i = f n , where f is the absolute frequency and n is the sum of all frequencies
Find the interquartile range (IQR) of the data in the dot plot below. ms orlando
11.
30 cm
30 cm
26 cm
Find the area
Answer:
30 x 30 x 26 = 23,400 area= 23,400
Step-by-step explanation: hope it helps
Answer:
i think its 780 cm^2 IF THE 11 IS NOT APART OF THE PROBLEM
Step-by-step explanation:
sorry caps
what is the simplified form of this expression (-3x^2+4x)+(2x^2-x-11)
Answer:
SolutioN :
[tex] \bf \: \star ( - 3x^{2} + 4x) + (2 {x}^{2} - x - 11)[/tex]
[tex] \longrightarrow \bf \: - 3 {x}^{2} + 4x + 2 {x}^{2} - x - 11[/tex]
[tex] \longrightarrow \bf \: - 3 {x}^{2} + 2 {x}^{2} + 4x - x - 11[/tex]
[tex] \longrightarrow \boxed{\bf \: - {x}^{2} + 3x - 11}[/tex]
-------------HappY Learning <3 ----------
Given expression:
[tex](-3x^2+4x)+(2x^2-x-11)[/tex]
To simplify the expression, it is needed to open the parentheses.
[tex]\implies (-3x^2+4x)+(2x^2-x-11)[/tex]
[tex]\implies -3x^2+4x+2x^2-x-11[/tex]
To further simplify the expression, let us combine like terms.
[tex]\implies -3x^2+4x+2x^2-x-11[/tex]
[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]
Now, simplify the expression as needed.
[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]
[tex]\implies x^{2} (-1)+x(3)-11[/tex]
Finally, open the parentheses to get the simplified form
[tex]\implies x^{2} (-1)+x(3)-11[/tex]
[tex]\implies \boxed{\bold{-x^{2} +3x-11}}[/tex]
[tex]\text{Therefore, the simplified expression is} \ \boxed{-x^{2} +3x-11}[/tex]
Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?
.
In a system of nonlinear inequalities, where and what is the feasible region?
Answer:
the region of the graph where the shaded regions of the graph of each inequality overlap, or where the regions intersect
Step-by-step explanation:
I have no clue, I have asked others and they don't know either.
To find the point of symmetry:
⇒ must find where the distance between the original point and the
line of symmetry and reflected point and the line of symmetry are
equally distant from each other
Based on that knowledge:
⇒ the image appears to be entirely reflected horizontally
⇒ when the line of symmetry is the y-axis
⇒ A, A' equal distant from line of symmetry
⇒ B, B' equal distant from line of symmetry
⇒ C, C' equal distant from line of symmetry
Answer: y- axis
Hope that helps!
The following scatter plot represents a company's sales on a certain product based on its price.
What does −4.8 represent in this linear model?
Pls help asap
Using linear function concepts, it is found that representation of the value of -4.8 is given by:
It means that there are 4.8 thousand less sales for every dollar the price is increased.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the model for the number of sales(in thousands), with the price at x dollars, is given by:
f(x) = -4.8x + 121.02.
The slope is of -4.8, which means that when x increases by 1, y decreases by 4.8 thousand, hence the correct option is given by:
It means that there are 4.8 thousand less sales for every dollar the price is increased.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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Is this true or false?
Answer:
true
Step-by-step explanation:
yas
What is a fraction that is equal to 5?
Answer:
5/1 or 10/2
5/1 = 5
10/2 = 5
Put the numbers from least to greatest: .3, 2/3, .36, 35%, 1/3
Answer:
0.3, 1/3, 35%, 0.35, 2/3
Step-by-step explanation:
Will mark brainlist to whoever answers first, full explanation please
Reflection- It flips the image over a line to create a mirror image
Rotation - It spins a figure around a point
Translation- It slides the figure in a different direction
Dilation- It enlarges or reduces a figure
GIVING BRAINLIEST!!!!!
Answer:
135
Step-by-step explanation:
All triangles =180 degrees
Angle ADC is 45
This means that angle ACD is also 45
ACD and ACB are supplementary which means they add to 180 as well
180 - 45 = 135
please help!!!
Find an equation for this graph.
Question
Which systems of equations have infinitely many solutions?
Select each correct system.
Answer: F
Step-by-step explanation:
This does not have infinitely many solutions (adding the equations, we get a fixed value of x)This has no solutions (the left hand sides are the same but the right hand sides have different values)This has one solution (the first equation givess a fixed value for x)This has no solutions (same reason as 2)This has one solution (same reason as 3, just the second equation instead of the first)This has infinitely many solutions (multiplying both sides of the top equation by -2 gives the bottom equation).please help me I will give brainliest
Answer:
The mass of salt!
Step-by-step explanation:
The responding variable is the part of an experiment that a scientists measures and observes closely for a change or a response
How to find the arc length?
The formula is given by
L=Ø/360°×2πrOr
L=Ø/180°×πrWhere
Ø is the angle of arcL is Arc lengthr is radius of circle