Answer:
The answer is option B
[tex]859[/tex] [tex]m^2[/tex] [tex],[/tex] [tex]891[/tex] [tex]m^2[/tex]
Step-by-step explanation:
Step 1
Find the lateral area
we know that
The formula to calculate the lateral area is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base of the prism
h is the height of the prism
In this problem we have
[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]
[tex]h=41[/tex] [tex]m[/tex]
substitute in the formula
[tex]LA=20.94*41=858.54[/tex] [tex]m^2[/tex]
[tex]LA=859[/tex] [tex]m^2[/tex]
Step 2
Find the surface area
we know that
The formula to calculate the surface area is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base of the prism
P is the perimeter of the base of the prism
h is the height of the prism
In this problem we have
[tex]B=8*4/4=8[/tex] [tex]m^2[/tex]
[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]
[tex]h=41[/tex] [tex]m[/tex]
substitute in the formula
[tex]SA=4(8)+20.94*41=890.54[/tex] [tex]m^2[/tex]
[tex]SA=891[/tex] [tex]m^2[/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?
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
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 circleAn 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 triangles shown below must be congruent.
true...
cus their angles are same... if you rotate the second triangle once to the left side
hope it helps...!!!
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 : (-∞, ∞)Father brought a carton of fruits. Total fruits in it are 150. 15 percent of them are rotten. Find the number of fresh mangoes
Answer: 127
Step-by-step explanation:
150 fruits times 15% = 22.5 rotten fruits
150 total -22.5 rotten=127.5 fres fruits
You can't have half a fruit so I chose to round down to 127
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]
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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please helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)
(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________
(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)
Answer:
a)
[tex] \frac{2}{5} [/tex]
b)
Step-by-step explanation:
slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 9}{ - 2 - 8} [/tex]
=
[tex] \frac{2}{5} [/tex]
b) using point (-2,4)
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]
Now distribute
[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]
add 4 to each side
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
can use the other point given if you want
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:
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.
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 in³Show work please!!!!! HELPPPP
A 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
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
What is a fraction that is equal to 5?
Answer:
5/1 or 10/2
5/1 = 5
10/2 = 5
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
Write in the missing numbers.
ordering intergers
Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.
How are integers ordered?Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.
Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.
If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.
An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:
= -800, -4, 1, 5, 52, 86
Find out more on ordering integers at https://brainly.com/question/12399107.
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(-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)
help________________
Answer:
302cm³
Step-by-step explanation:
The formula for the volume of a hemisphere is [tex]\frac{\frac{4}{3} \pi r^{3}} {2}[/tex] (volume of a sphere over 2)
Plugging in 4 for r we get the answer of [tex]\frac{256}{6}\pi[/tex]
Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)
We can now find the volume of the cone using the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]
Plugging in 4 for r and 10 for h we get the answer [tex]53 \frac{1}{3} \pi[/tex]
Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)
That is the answer
- Kan Academy Advance
the volume of a cube is 729ft^3. if the dimension are divided in thirds , what is the new volume? A. 27ft^3 B. 2ft^3 C. 8ft^3 D. 16ft^3
Answer:
A. 27 ft^3
Step-by-step explanation:
cube root of 729 is
9
1/3 of 9 is
3
volume of a cube with an edge of 3 is
3^3 =
27
The area of the triangle below is 15 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.
Answer:
5/8
Step-by-step explanation:
Area for a triangle
A=1/2bh
15/32=3/4h
5/8 = h
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]
Через какую из данных точек проходит график функции y=6/x?
А) (3;3) Б) (2;3) В) (2;6) Г) (6;0)
Answer:
Б) (2,3)
Step-by-step explanation:
Заметь [tex]y=\frac{6}{x}\rightarrow 3=\frac{6}{2}[/tex]. Поскольку это утверждение верно, то ваш ответ Б) (2,3).
please help!!!
Find an equation for this graph.
Find the interquartile range (IQR) of the data in the dot plot below. ms orlando
.
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:
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 = -4/3The diameter of a music CD is 12 centimeters. Find the circumference of a CD to the nearest tenth