What is the lateral surface area of the triangular prism? DO NOT PUT LABEL ON ANSWER.
Answers
Given data:
The given prism.
The lateral surface area is,
\(\begin{gathered} \text{LSA}=(\text{3 m+5 m+ 5.8 m)( 8 m)} \\ =110.4m^2 \end{gathered}\)Thus, the lateral surface arrea of the given prism is 110.4 square-meter.
Related Questions
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
Answers
The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to solve quadratic equation?8x² + 16x + 3 = 0
using Quadratic formula
The following steps are involved
\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)
\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)
\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)
\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)
\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)
\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)
\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
\(x = -0.209431\)
or
\(x = -1.79057\)
Therefore, the steps peter could follow will give the result
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
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How many solutions are there to the equation below?
x² = -9
Answers
Answer:
2.
Step-by-step explanation:
There are 2 complex solutions to this equation:
x^2 = -9
= 3i and -3i.
Answer:
okay but what about
Step-by-step explanation:
x² = 9
How many miles does he run in one year
Answers
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
change 6 1/3 to a percent
Answers
hope this helps!
Mushrooms have a yield factor of 90%. A 15 pound flat of mushrooms cost $29.85. What is the ap,cost per pound?
Answers
Answer: $2.21
Step-by-step explanation:
To calculate the cost per pound of mushrooms, we need to use the yield factor given in the question. The yield factor tells us the percentage of the total weight of the mushrooms that can be used for cooking or sale. Here, the yield factor is 90%, which means that 90% of the weight of the mushrooms can be used. Let's begin with the calculation:
First, we need to find out how much of the weight of the mushrooms is usable: 90% of 15 pounds = 0.9 x 15 = 13.5 pounds
Now, we can find out the cost per pound of the mushrooms:
Cost per pound = Total cost / Total usable weight
Total cost = $29.85
Total usable weight = 13.5 pounds
Therefore, the cost per pound of mushrooms = $29.85 / 13.5 pounds ≈ $2.21 per pound
Therefore, the cost per pound of mushrooms is $2.21 per pound.
Calculate the product: 2 9 × 63 . A. 7 B. 14 C. 18 D. 45
Answers
Answer:
The answer isn't listed in your options, are you sure you didn't make any typos?
Step-by-step explanation:
29*63=1,827
Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Answers
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.
Answers
Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.
Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.
A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.
Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.
Therefore, RM = 2.
By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.
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A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings how many cups of flour are needed to make 20 servings?
Answers
Answer:
a = 8
b = 2
c = 48
Step-by-step explanation:
3 cups of flour is needed to make 24 servings.
3:24
Simplify. First, divide 3 from both sides of the ratio.
(3)/3 : (24)/3
1:8
Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1
1 x 2 = b = 2
Finally, multiply 8 to 6 to get c.
8 x 6 = c = 48
~
In a classic prisoner's dilemma game with money for prizes, players who cooperate with each other both earn good prizes. If, however, your opposing player cooperates but you do not (the term used is defect), you receive an even bigger payout and your opponent receives nothing. If you cooperate but your opposing player defects, he or she receives that bigger payout and you receive nothing. If you both defect, you each get a small prize. Because of this, most players of such games choose to defect, knowing that if they cooperate but their partners don't, they won't win anything. The strategies of U.S. and Chinese students were compared. The researchers hypothesized that those from the market economy (United States) would cooperate less (i.e., would defect more often) than would those from the nonmarket economy (China). Defect Cooperate China 31 36 United States 41 14 What is/are the variable(s) in this study and, if appropriate, what are the levels of any variables you identified?
Answers
Answer:
Check the explanation
Step-by-step explanation:
a. there are two categorical variables here:
region with two level : China and US
and cooperation with two level : Defect and cooperate.
b. Chi-square test for association can be used here since the variables are categorical in nature.
Chi-Square Test for Association: C6, Worksheet columns
Rows: C6 Columns: Worksheet columns
defect cooperate All
China 31 36 67
39.54 27.46
US 41 14 55
32.46 22.54
All 72 50 122
Cell Contents: Count
Expected count
Pearson Chi-Square = 9.985, DF = 1, P-Value = 0.002
Likelihood Ratio Chi-Square = 10.231, DF = 1, P-Value = 0.001
Which choices are equivalent to the fraction below? Check all that apply.
Answers
Answer:
the answer is B & F
Given the following table of values for the function f(x), determine f^-1(4)
Answers
Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3
What is the inverse of a function?The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.
In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;
Taking two points from the table;
m = y₂ - y₁ / x₂ - x₁
m = 0 - (-3) / -9 - (-11)
m = 3 / 20
Using the slope and one point on the table;
y = mx + x
-3 = 3/20(-11) + c
-3 = -1.65 + c
c = -3 + 1.65
c = -1.35
Putting the slope and y - intercept together;
y = 3/20x - 1.35
y = 3/20x - 27/20
f(x) = 3/20x - 27/20
Taking the inverse of the function;
f⁻¹(x) = (20x + 27)/3
To find the value of f⁻¹(4), we just need to substituting the value of x in the function;
f⁻¹(4) = (20(4) + 27)/3
f⁻¹(4) = 107/3
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i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answers
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.
Marcie cooked dinner for herself. The original recipe has a serving size of 4 and requires four and four fifths pounds of chicken. How many pounds of chicken will be needed for a single serving? FAST PLS !!!!
Answers
Answer:
1.2 pounds of chicken per serving.
Step-by-step explanation:
4 and 4/5 of pounds of chicken for serving of 4.
We can also write this as 4.8 pounds of chicken.
To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.
\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)
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Thanks!
K-3/2=10 then k=??????? Helpppppppppppppppppppp meeeeeeee
Answers
Answer:
11 1/2 or 23/2
Step-by-step explanation:
K = 10 + 3/2 = 10 + 1 + 1/2
Find x in the given figure.
Answers
So let’s calculate “6”: 180° - 55° = 125°
Therefore x = 125°
Susan and Lucy are standing 4 feet apart. Peter and Lucy are standing 7 feet apart. Susan and Peter are standing 5 feet apart. If peter turns from facing Lucy to facing Susan, what is the angle that describes his rotation
Answers
Rotations Radians Degrees
¼ π/2 90°
½ π 180°
1 2π 360°
1½ 3π 540°
you can use this hope this helps!
Find the x intercepts of the graph y= 2/pie squared
Answers
The x-intercept is the point where the graph of a line intersects the x-axis. The y-intercept is the point where the graph of a line intersects the y-axis.
What is the formula for x-intercept form?Take into account a line with the slope intercept form y = mx + c, an intercept of (c, 0), and a slope of m. To find the x-intercept, enter y = 0 in the equation.Yb = m (xa), where m is the line's slope and (a,b) is a point on the line, is the point-slope form of a straight line. You may find the line's x-intercept by entering y = 0 and x-intercept = (amb)/m.Where the line crosses the x-axis is known as the x-intercept. Because the point won't be on the x-axis if y doesn't equal 0, you must always use a value of 0 for y when calculating the x-intercept.Given data :
y = ( 2 / π )²
y = 2² / π²
y = 4 / π²
Here i attached the graph of x interception
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A snowboarder traveled at a speed or 12 meters per second for 15 seconds. How far did the snowboarder travel ? A. 18 meters B. 27 meters C. 180 meters D.270 meters
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
2021 EDGE
A wealthy man just died and left his pet dogs the following estate: $20,000 per year for the next 11 years with the first cash flow today. At a discount rate of 4.2%, what is the doggy estate worth in today's dollars?
Answers
given the quadratic function, state whether the parabola opens up or down, and whether it has a maximum or minimum. y
Answers
For the stated quadratic function the parabola opens up and is minimum.
Describe the term parabola?A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.The standard equation of parabola is -
y = ax² + bx + c; a ≠ 0If a > 0, graph opens upward and function is minimum.If a < 0, graph opens downward and function is maximum.For the stated equation;
y = x² + 6x -5
a = 1 > 0
Thus, graph opens upward and function is minimum.
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The complete question is-
Given the quadratic function, state whether the parabola opens up or down, and whether it has a maximum or minimum. y
y = x² + 6x -5
Algebra 1
What is the greatest possible error for a measurement of 4 inches?
inches
Answers
if 6sinx=3cosx the value of tanx is
Answers
Step-by-step explanation:
tanx=sinx/cosx=3/6=1/2
Using a straightedge and compass, the ancient Greeks were able to construct
many geometric objects.
A. True
B. False
Answers
Answer:
A. True
Step-by-step explanation:
Find the volume of the oblique rectangular prism below. Round your
answer to the nearest tenth if necessary.
9
8
Answers
The volume of the oblique rectangular prism that is given above would be = 212.4
How to calculate the volume of the oblique rectangular prism?To calculate the volume of the oblique rectangular prism, the formula for the volume of a prism should be used which is given below. That is;
Volume of prism= L×w×h
where;
Length = 9
width = 4
height = ?
But the height of the oblique rectangular prism can be calculated using the sine formula;
That is;
height = 8× 0.7314
= 5.9
Therefore volume = 9×4×5.9 = 212.4
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Im beging yall pls help will give brainliest
Select True or False.
The expression 5x − 3(2x − 4) is equivalent to the expression 12 − x.
True
False
Answers
...............
Answer: The expression 5x - 3(2x-4) is equivalent to the expression 12 - x is True.
Step-by-step explanation:
the number of Significant Figures in 13410000 *
Answers
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhh
Answer:
4
Step-by-step explanation:
13410000
Sig Figs4
13410000
Decimals0
Scientific Notation1.341 × 107
E-Notation1.341e+7
Words thirteen million four hundred ten thousand
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
Answers
Answer:
=28
Step-by-step explanation:
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
3 (20-4) -4 ( 12 - 7)
60 - 12 -48 +28
= 28
3 ( 5p - p ) - 4 ( 3p - 7 ) =
3 ( 4p ) - 12p + 28 =
12p - 12p + 28 =
0 + 28 = 28
Thus the value of p is not importent at all and the answer is always 28 .
What is the ratio of the area ABC to the area of ABD?
Answers
Answer:
t is 9/16
Step-by-step explanation:
Answer:
9/16
Step-by-step explanation:
(8m + 4) + (8m + 4) combine the like terms to simplify
Answers
The expression simplified can be written as:
16m + 8
How to combine the terms and simplify?Here we want to simplify the following expression:
(8m + 4) + (8m + 4)
To simplify, we start by removing the parenthesis:
8m + 4 + 8m + 4
Now we can change the order of the terms so we get:
8m + 8m + 4 + 4
Now we can group the like terms to get:
(8m + 8m) + (4 + 4)
And simplify this to get:
16m + 8
That is the simplified expression.
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