Given that all sides are equal for this
triangle, if its height if the triangle is 16
in, and the length of the prims is 33 in.
Solve for the surface area of the
equilateral prism(4 Points)
Type answer in the space provided and attach »
15 in
20 in.
33 M
Enter your maths answer
Answers
The equilateral triangular prism has a surface area of 1997.321 square inches
How to determine the surface area of the equilateral triangular prism?From the question, the given parameters are
Side length of the triangle, a = 20 inchesHeight of the equilateral triangular prism, h = 33 inchesThe total surface area of an equilateral triangular prism is calculated using the following formula
Surface area = a(√3/2) + 3(a × h);
Substitute the known values in the above equation
So, we have the following equation
Surface area = 20 * (√3/2) + 3(20 × 33);
Evaluate the product
So, we have the following equation
Surface area = 1997.321
Hence, the surface area of the equilateral triangular prism is 1997.321 square inches
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Related Questions
Approximating 39 by following the steps below
Answers
Answer:
sqrt(39) is between 6 and 7
Step-by-step explanation:
Start by looking at perfect squares
1^2 =1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2= 49
39 is between 36 and 49
so sqrt(39) is between 6 and 7
18 ÷ 6 = 3, therefore 18 ÷ 0.6 = 0.3.
True
False
Answers
Answer:
True but I could be wrong!
Step-by-step explanation:
When we divide 18 by 0.6 we get 30 not 0.3. However, 30 as a decimal is 0.3.
a researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5. what is the value of cohen's d?
Answers
The value of cohen's d based on the population and the deviation given is 1.14.
How to calculate the value?It should be noted that based on the information, the researcher conducts a study and finds that the difference between the population mean (μ) and the sample mean (m) is 4, the sample size (n) is 36, and the standard deviation of the population (σ) is 3.5.
Sample mean = 4
Sample size = 36
Standard deviation = 3.5
Cohen D = Sample mean / Standard deviation
= 4 / 3.5
= 1.14
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pls help me solve these questions, i have no clue where to start
Answers
For given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
In this question, we have been given a proof.
We need to write missing statements or reasons of the given proof.
We have been given NL ≅ NM and AL ≅ BM
We need to prove NA ≅ NB
1) NL ≅ NM; AL ≅ BM ................(Given)
2) NL = NA + AL and
NM = NB + BM ...........(Segment Addition Postulate)
3) NA + AL = NA + BM ...........(Subatitution)
4) NA + BM = NB + BM ..............(NL = NM)
5) NA = NB ............(Addition postulate of equality)
Therefore, for given proof the missing statements are:
14 : NA + AL = NA + BM
15 : NL = NM
16 : Addition postulate of equality
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Rational or Irrational
Answers
Answer:
rational : improper fractions,
mixed numbers
decimals that either ternimate or repeat,
irrational : decimals that do not terminate or repeat,
negative integers
What is
the circumference of
a circle with a radius of 9.7 inches?
Use 3.14 for
pi.
Enter your answer as a decimal in the box.
Answers
The circumference of circle with radius 9.7inch is 60.916 inch.
What is circumference of circle ?The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
A circle is a closed round object whose border points are all equally spaced apart from the center, which is a fixed point.
Given that :the circle with a radius of 9.7 inches
Circumference of a circle is [tex]2\pi r[/tex]
2 ×3.14×9.7 = 60.916
The circumference of circle with radius 9.7inch is 60.916 inch.
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A(2h, h), B(p, t), and C(2p, 3t) are three points on a straight line. B divides AC internally in the ratio 2 : 3. Express p in terms of t.
Answers
p expressed in terms of t is -2t.
What is the section formula?The formula used to calculate the coordinates of a point on a line segment that divides it into two segments is referred to as the section formula. Let's imagine that the line segment marked with the coordinates A (x₁,y₁) and B(x₂,y₂) has a point P(x,y) that splits it in the ratio m:n. We employ the section formula, which is mathematically defined to determine the coordinates of P.[tex]P(x,y) = (\frac{mx_{2} + nx_{1} }{m+n} ),(\frac{my_{2} + ny_{1}}{m+n} )[/tex]
Given points on the straight line are A(2h, h), B(p, t), and C(2p, 3t).
B divides AC internally in the ratio 2 : 3.
Using the section formula, we determine the coordinates of B
[tex]B(p,t) =(\frac{2*2p + 3*2h}{2+3} ),(\frac{2*3t+ 3h}{2+3} )[/tex]
[tex]B(p,t) =(\frac{4p + 6h}{5} ),(\frac{6t+ 3h}{5} )[/tex]
Equate the points,
[tex]p =\frac{4p+6h}{5}[/tex]
[tex]5p = 4p +6h[/tex]
[tex]p =6h[/tex]
[tex]t= (\frac{6t+ 3h}{5} )[/tex]
[tex]5t = 6t +3h[/tex]
[tex]t = -3h[/tex]
[tex]h =\frac{t}{-3}[/tex]
So, [tex]p =6h = \frac{6t}{-3} = -2t[/tex]
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If ACDE were reflected across the line y = x, what would be the coordinates of AC'D'E?
Answers
Answer: D
Step-by-step explanation:
Reflecting over the line y=x means [tex](x,y) \longrightarrow (y,x)[/tex].
[tex]C(1, -5) \longrightarrow C'(-5, 1)\\\\D(8, -2) \longrightarrow D'(-2, 8)\\\\E(7, -6) \longrightarrow E'(-6, 7)[/tex]
Allen decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need
Answers
US cup US fluid ounce
Have an awesome day :)
3 5/11 s a decimal exspansion
Answers
By rational number algebra, the mixed number 3 5 / 11 is equivalent to the decimal expansion 3.[tex]\overline {45}[/tex].
How to transform a mixed number into a decimal number
According to the statement, we find a mixed number, that is, a notation to represent rational numbers that combines both integers and fractions. The procedure to obtain the decimal form of a mixed number is:
Transform the mixed number into a single rational number by using the following formula:a b / c = (a · c) / c + b / c, where a, b, c are integers and a ≠ 0.Divide the single rational number.
Then, the decimal expansion of the mixed number 3 5 / 11 is:
3 5 / 11 = (3 · 11) / 11 + 5 / 11 = 33 / 11 + 5 / 11 = 38 / 11 = 3.[tex]\overline {45}[/tex]
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Help pleaseeee. A private club was reduced by members in weeks. Its size changed by the same number of members each week. What was the change in the club's size each week?
Answers
Answer: it was changed by 9 members per week.
Step-by-step explanation:
HELP ASAP DUE IN AN HOUR
What are the similarities and differences between number 1 and 3?
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
Answers
Arithmetic sequences, often known as the common difference, are patterns of numbers that rise or fall at a consistent rate.
What is the formula for calculating the average difference between two arithmetic sequences?
D is equal to a(n) - a(n - 1), where a(n) is the last term and a(n - 1) is the term before it in the series.
Answer and justification ,A common difference exists in every arithmetic sequence. We can enter the values of an, a1, and n into the arithmetic sequence formula and find the common difference if a problem offers us an, a1, and n but not the common difference.
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Chose the inequality shown by this diagram
Answers
Answer: C
Step-by-step explanation:
Open Circle: [tex]< , >[/tex]
Closed Circle: [tex]\leq ,\geq[/tex]
a ball dropped vertically, falls d t seconds.
d is directly proportional to the sqaure of t.
the ball drop 80 meters in the 4 seconds
how far does the ball drop in the next 8 seconds
Answers
If the ball drops 80 meters in the 4 seconds, the time it takes the ball to drop in the next 8 seconds is; 720 meters
How to utilize constant of proportionality?
We are told that a ball dropped vertically falls a distance of d in t seconds and that d is directly proportional to the square of t. Thus;
D ∝ t²
Thus;
D = kt²
where d is the constant of proportionality.
We are given that D = 80 m when t = 4 seconds and as such we have;
80 = k*4²
k = 80/16
k = 5
Therefore, the equation of motion is;
D = 5t²
When t = 8 + 4 = 12 seconds, we have;
D = 5 * 12²
D = 5 * 144
D = 720 m
Therefore, the distance the ball drops in the next 8 seconds
= 720 - 80
= 640 m.
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can someone help me outt plsss
Answers
Answer: 4.91(6)7
Step-by-step explanation:
divide 59/12 to get decimal form, also the 6 inside the brackets just mean the 6 repeats
Find an equation in standard form of the parabola that passes through (0, 0), (-2, -6), and (3, -3)
Answers
Answer:
[tex]y = - \frac{ {4x}^{2} }{5} + \frac{7x}{5} [/tex]
If F, G, and H are the midpoints of the sides of AJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=
Answers
For the given, F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.
As given in the question,
F, G, and H are the midpoints of the sides of ΔJKL.
F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL
Measure of the required sides are as follow:
FH = (KL / 2) (by midpoint theorem)
= (48/2)
= 24
JL = 2 x FG (by midpoint theorem)
= 2 x 37
= 74
KJ = 2 x GH (by midpoint theorem)
= 2 x 30
= 60
FJ = GH = 30 (by midpoint theorem)
Therefore, for the given, F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.
The complete question is:
If F, G, and H are the midpoints of the sides KJ, KL, and JL respectively of ΔJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=
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need help on this, thanks
Answers
Answer:
x=15, y=7
Step-by-step explanation:
Angles that form a linear pair are supplementary, so:
[tex]2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7[/tex]
Answer:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
Step-by-step explanation:
Angles on a Straight Line Theorem
The sum of angles on a straight line is equal to 180°.
Solving for x:
[tex]\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}[/tex]
Solving for y:
[tex]\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}[/tex]
Therefore:
[tex]x=\boxed{15}\\\\y=\boxed{7}[/tex]
-2x + absoulute value of y
x= -1/2
y= 6/5
Answers
Answer:
please rate as brainliest
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. N=3; -3 and 4+4i are the zeros; f(-1)=82
Answers
The polynomial function is f(x) = x³ - 5x² + 8x + 96.
We have to find a polynomial of degree 3.We are given that the polynomial has -3, 4-4i, and 4+4i as its roots.We are also given that f(-1) equals 82.If x = -3 is a root, then:(x+3) is a factor of the polynomial.If x = 4-4i is a root, then:(x-4+4i) is a factor of the polynomial.If x = 4+4i is a root, then:(x-4-4i) is a factor of the polynomial.All the three roots are of the same polynomial.So, the polynomial is the product of these factors.f(x) = k(x+3)(x-4+4i)(x-4-4i)f(x) = k(x+3)[(x-4)² - (4i)²]f(x) = k(x+3)[x² + 16 - 8x + 16]f(x) = k(x+3)[x² - 8x + 32]f(x) = k[x³ - 8x² + 32x + 3x² - 24x + 96]f(x) = k[x³ - 5x² + 8x + 96]To find "k", we know that f(-1) = 82.f(-1) = k[(-1)³ - 5(-1)² + 8(-1) + 96]82 = k[-1 - 5 - 8 + 96]82 = k*82k = 1Thus, the polynomial is f(x) = x³ - 5x² + 8x + 96.To learn more about polynomials, visit :
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the line passing through (8,7) and (6,5)
has the steepest possible slope. How do you know for
sure?
Answers
Answer:
find gradient:
5-7/6-8
=-2/-2
=1
1 is the steepest possible slope which is not undefined
Simplify 4.5p(2 − 0.2p).
9p − 0.9p2
9p − 0.2p2
9 − 0.2p2
9 − 0.9p2
Answers
Answer:
9p-0.9p^2
Step-by-step explanation:
Is the relation in this graph a function?
Is the relation in this graph a function?
Answers
Answer:
the first is a function and the parabola is not a function
Step-by-step explanation:
A simple way to know why is the vertical line test.
Draw a vertical line and see whether if there are more than one point in the vertical line. If there's more than one point in the line then it's not a function, but if only one point on the vertical line it IS a function.
In the first graph, you'll notice that any vertical line you'll draw won't pass through two points ever. On the other hand, second graph will have two points found in the vertical line drawn by you, for example: (-2, 3);(-2, -3)
Wish you've enjoyed my answer because the more you enjoy maths, taste it, love it, and understand it, the more you will be successful in it. Good luck
David traveled 4/5 of his trip by bicycle and the rest of the distance by foot. If the whole trip was 160km, how many kilometres dad he travel by foot?
Answers
Answer:
Step-by-step explanation:
I will explain it in a screenshot. That all the way is divided into 5 parts. And 4 of them were by bicycle, and 1 part is by walk. So we divide all the way to 5 and multiply to leftover 1 piece.
Solve the equation for w.
w divided by 1.4 minus 3.7 equals 6.5
2
3.92
14.28
7.3
Answers
the answer is 14.28
Step-by-step explanation:
w/1.4_3.7=6.5
w/1.4=6.5+3.7
w/1.4=10.2
w=10.2*1.4
w=14.28
Answer: 14.28!
Step-by-step explanation:
I got a perfect 100% on my exam! This answer was right can i get brainliest?
if f(x)=x^2, what is g(x)? the graph shows the points: (1, -1), (-1,3), (-3,-1)?
Answers
IMAGE OF QUESTION
ANSWER
[tex]g(x)=-(x+1)^2+3[/tex]EXPLANATION
We have that the function graphed g(x) is a transformation of:
[tex]f(x)=x^2[/tex]When the parent quadratic function f(x) is transformed, it takes the following form:
[tex]g(x)=a(x-h)^2+k[/tex]This form also represents the vertex form of a quadratic equation, where (h, k) is the vertex of the function.
This means that we can find the function by using the vertex of the function.
The vertex of a function is the maximum or minimum value of the function; from the given graph, it is a maximum value and it is located at:
[tex](h,k)=(-1,3)[/tex]Therefore, we can input this into the vertex form of the function:
[tex]\begin{gathered} g(x)=a(x-(-1))^2+3 \\ g(x)=a(x+1)^2+3 \end{gathered}[/tex]Now, we have to find the value of a. To do this, pick any coordinate point from the graph and input it into the function above.
Let us pick:
[tex](0,2)[/tex]Therefore, we have:
[tex]\begin{gathered} 2=a(0+1)^2+3 \\ 2=a\cdot1+3 \\ 2=a+3 \\ \Rightarrow a=2-3 \\ a=-1 \end{gathered}[/tex]Therefore, the function graphed above is:
[tex]g(x)=-(x+1)^2+3[/tex]Please helppp
Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer
Answers
These two functions' graphs do indeed intersect:
Formula 1: F(X)=2X+5
The formula 2=H(X)=3X+2
INTERSECT=(3,11)
Describe function:a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).Everywhere in mathematics are functions, which are essential for building physical connections in the sciences.
According to the given data:The first step is to generate two linear functions. I created the linear functions f(x)=2x+5 and h(x)=3x+2 (without a quadratic term). Then
You substitute a number for the x:
F(X)=2X+5 in Table 1 (H(X)=3X+2) Table 2
X=1——->Y=2+5=7 X=1------> Y=3·1+2=5
X=2---->
Y=2·2+5=9 X=2-----> Y=3·2+2=8
X=3---->
Y=3·3+5=11 X=3-----> Y=3·3+2=11
The two - dimensional functions will intersect at the X=3/Y=11 location, as demonstrated by both data tables, which is the answer.
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What is the value of -3 + |-17|?
Answers
5 to the second power x [7 - 3] divided by 5
Answers
Answer:
Answer is 20 :).........
A man earned wages of 41,500 received 1900 and interest from a savings account and contributed 2900 to a tax deferred retirement plan he was entitled to a personal exemption of $4050 and had deductions totally $6660 find his gross income adjusted gross income and taxable income
Answers
Answer:
Gross Income = $ 43400
Adjusted Gross Income=$40500
Taxable Income = $33840
Step-by-step explanation:
given that-
Income paid to man
Wages = $41,500
Savings Interest = $1900
Tax Def Contribution=$2900
Deductions= $6660
personal exemption =$4050
Gross Income = Income paid to man = 41500 + 1900 = $ 43400
Adjusted Gross Income = Income - Tax Def Contribution = $43400-$2900=$40500
Taxable Income = AGI - Deductions = 40500 - 6660 = $33840
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