Question 4 (Essay Worth 10 points)
(05.06; 05.07 MC)
A prism and two nets are shown below:
Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.
Part A: Which is the correct net for the prism? Explain your answer. (2 points)
Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)
Part C: What is the surface area of the prism? Show your work. (4 points)
Answers
Answer:
115.2 in^2
Step-by-step explanation:
total surface area Stot = 113.2 in2
lateral surface area Slat = 103.2 in2
top surface area Stop = 6 in2
bottom surface area Sbot = 6 in2
Related Questions
Point E,F,D are located on circle C
The measure of arc ED is 68 what is the Measure of angle EFD
Answers
The measure of the angle EFD will be 68 degrees. The correct answer is option B.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that:-
The arc angle is 68 degrees and we need to find the angle EFD.
As it is given in the question that the angle suspended by the arc is 68 degrees so the angle EFD will also be equal to 60 degrees.
Therefore the measure of the angle EFD will be 68 degrees. The correct answer is option B.
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which is an incorrect rounding for 53.864
A.54
B.53.87
C.53.9
D.50
Answers
The incorrect rounding for 53.864 is 53.87
How to approximation a decimal?The decimal to be approximated is as follows;
53.864
The first option rounded the decimal to 2 significant figures or a whole number.
The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.
The third option is approximated rightly to one decimal place.
The last option is rounded to the closes tens term.
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Susan makes purple paint by mixing red and blue paint in the ratio 2:3
She has 12ml of red and 15ml of blue
What is the maximum amount of purple she can make?
Answers
A ratio shows us the number of times a number contains another number. The maximum amount of purple that Susan can make is 25 ml.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Susan makes purple paint by mixing red and blue paint in a ratio of 2:3. Now, if Susan wants to use the complete red paint then,
Purple paint she can make = 2/3 × 6/6 = 12 ml of red paint / 18 ml of blue paint
If Susan wants to use the complete blue paint then,
Purple paint she can make = 2/3 × 5/5 = 10 ml of red paint / 15 ml of blue paint
As per the first condition 18ml of blue paint is needed which is not possible, therefore, the second case is possible.
Thus, Susan needs to mix 10 ml of red paint and 15 ml of blue paint. Therefore, the amount of paint that Susan will make is,
Total Paint = 10ml + 15ml = 25ml
Hence, the maximum amount of purple that Susan can make is 25 ml.
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A camper ties a rope from a tree to the ground to help build a shelter. The rope is 8 feet long, and it is tied 6 feet up the tree. How far from the tree is the rope anchored to the ground? Use the Pythagorean theorem to find the answer.
Answers
Answer:
≈5.3 feet,63.6 inches
Step-by-step explanation:
36+b²=64
-36 -36
b²=28
if we square root both sides we can get the radical/exact answer or the rounded one
radical: 4√7
rounded to the nearest tenth: 5.3 feet
48 + what gives you 180
Answers
Answer:
132
Step-by-step explanation:
180-48=132
Answer: 132
Step-by-step explanation:
let x = unknown amount
48 + x = 180
————————————————————————
Solve for x by subtracting 48 from both sides
48 - 48 + x = 180 - 48
x = 132
need help on this ASAP! please
Answers
Step-by-step explanation:
x=66°
180-118=62°
180-52+62=66°
hope this helps
Explanation: angles on a line add up to 180, so if part of it is 118 you do 180-118 which is 62. So 62 is the angle on the right, then add the left and right angle which is 52 plus 62 which is 114.
And we know a triangle adds up to 180. So 180 take away 114 equals 66
Hope this helps and hope you can understand it
Which graph represents the solution set for the compound inequality below? ---x+ 10 ≥7 X-10≥7
x-10≥7
Answers
A graph which represents the solution set for the compound inequality is shown in the image attached below.
How to determine the graph?In order to determine the graph which represents the solution set for the compound inequality, we would evaluate the given inequalities as follows.
Given the following inequalities:
⅓x + 10 ≥ 7
x - 10 ≥ 7
For the first inequality, we have:
⅓x + 10 ≥ 7
Multiply all through by 3;
x + 30 ≥ 21
x ≥ 21 - 30
x ≥ -9 ⇒ x < 9.
For the first inequality, we have:
x - 10 ≥ 7
x ≥ 7 + 10
x ≥ 17.
In conclusion, a graph which represents the solution set for the compound inequality is shown by using the number line in the image attached below.
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If f(x)=x^2 then evaluate (2+3i)
Answers
Answer:
-5 + 12 i
Step-by-step explanation:
(2 + 3i)^2 = 4 + 6i + 6i + 9i^2
= 4 + 12 i + 9(-1)
= - 5 + 12 i
let pheta be an acute angle. if cos2pheta+cos^2pheta=1, then cospheta=
2/3
1
√6/3
√2/3
Answers
The required value of value of cospheta = √2/3, here correct option is d) √2/3.
The given equation is a Trignomatric Equation,
cos2pheta+cos^2pheta = 1
These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
cos2pheta + cos^2pheta = 1
Now we know that,
[tex]cos2x[/tex] = [tex]cos^2x -1[/tex]
so, substituting cos2pheta = 2cos^2pheta - 1
2cos^2pheta-1 + cos^2peta = 1
3cos^2peta = 2
cos^2pheta = 2/3
cospheta = √2/3
Thus, the required value for the cospheta = √2/3.
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abc has a $5 million liability at december 31, 2018, of which $1 million is payable in each of the next five years. abc reports the liability on the balance sheet as a:
Answers
ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.
What are current and long-term liabilities?A current liability is a liability that is payable within 12 months or one year.
On the other hand, a long-term liability is a liability that is payable after 12 months or one year.
Since $1 million is payable in each of the next five years, this implies $1 million is payable within one year while $4 million is payable after one year.
Therefore, ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.
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A function is a rule thats assigns each value of the independent variable to exactly ____ value of he dependent variable.
Free response:
Answers
A function assigns the values. A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given statement can be completed as given below.
A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.
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Find six rational numbers between -2 and 5
Answers
Answer:
1/4, 0.5, -4/6, 4.5, 1/3, 7/8
explanation: it is the ratio of two integers
a/b where b is not = to 0
Find the equation of the line through point (8,−9) ( 8 , − 9 ) and perpendicular to 3+8=4 3 x + 8 y = 4 .
Answers
The equation of the line will be 3y + 8x = 165.
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.The given equation of the line is:-
3 x + 8 y = 4.
The slope of this line will be:-
3 x + 8 y = 4.
8y = -3x + 4
y = -3 /8x + ( 1 / 2)
y = mx + c
m = -3 / 8
Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.
So the slope of the line will be -8 / 3
The equation of the line passing through the point will be given as:-
y - y 1 = m ( x- x1)
y - (-9) = ( -8 / 3) ( x - 8)
Y + 9 = ( -8 / 3 ) ( x -8 )
3 y = -8x + 165
3y + 8x = 165
Therefore the equation of the line will be 3y + 8x = 165.
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y’all help find the area and perimeter
Answers
Answer:
área is 15 perimeter is B
What is the slope of the line with the equation y-3=-1/2(x-2)?
Answers
Answer: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y -3 = -\frac{1}{2}(x-2)[/tex]
Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
[tex]y-3=-\frac{1}{2}x + 1[/tex]
[tex]y = -\frac{1}{2}x+4[/tex]
Therefore, the slope is [tex]-\frac{1}{2}[/tex].
there are 7 yellow marbles and 10 orange marbles in a bag you randomly choose one of the marbles what is the possibilty of choosing a yellow marble
Answers
Answer:
probability; ( of choosing a yellow marble)
7 yellow marbles + 10 orange marbles = 17 in total
if the no of yellow marbles is 7 therefore = ⁷/10
so that is the probability ⁷/10
Hope this helps
Richard has a debt of $45. Express it in the form of absolute value.
Answers
The absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
As we know,
The absolute value of a negative account balance is equal to the amount of debt. A balance of $0 on an account means there is no debt. Credit is shown by a positive account balance.
Richard has a debt of $45.
The negative of 45 value represents the debt.
-$45 = debt
Absolute value = |-45| = 45
Thus, the absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.
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Bao says: "i can prove this using the fact that opposite sides in a parallelogram are congruent, and by establishing the congruence of a single pair of triangles." which pair of triangles is bao referring to, and which criterion should he use for establishing congruence?
Answers
The pair of triangle formed are congruent using the side-side-side congruency theorem.
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.
Since the opposite sides of a parallelogram are congruent, if the parallelogram is cut through the diagonal, the pair of triangle formed are congruent using the side-side-side congruency theorem.
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Question 1 of 25
Which estimate at a 95% confidence level most likely comes from a small
sample?
Answers
It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level.
A proportional confidence interval is provided by
[tex]\pi \pm z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]
Where π is the sample proportion, z is the critical value and n is the sample size.
The margin of error is represented by
[tex]z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]
As a result, smaller sample sizes result in wider margins of error. Option A has the greater margin of error in this scenario, so it most likely employed the smallest sample size.
Therefore we can conclude It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level. Option A is correct.
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Today an electronics store took
5% off the price of a computer,
and for the next two days, it will
take 5% off the previous day's
price. if the price of the
computer yesterday was
$2000.00, what will be the price
of the computer two days from
now?
Answers
Answer:
$ 1805
Step-by-step explanation:
2000 × 95%
= 1900
1900 × 95%
= 1805
18% Commission on a $500 couch
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
$90
Step-by-step explanation:
Rate of commission = 18%Amount = $500Commission = 18% 0f 500 = 0.18*500 =$904. If u = {1,2,3,....10) A = { odd numbers up to 9} B = {numbers less than 7). Write out the members of the following sets: (i) AUB (ii) An B (ii) A(prime) U B
Answers
Answer:
i. {1,2,3,4,5,6,7,9}
ii. {1,3,5}
iii. {1,2,3,4,5,6,8,10}
Step-by-step explanation:
U= {1,2,3,4,5,6,7,8,9,10}
A= {1,3,5,7,9}
B= {1,2,3,4,5,6}
A U B = {1,2,3,4,5,6,7,9}
A n B = { 1,3,5}
A (prime) U B =
A(prime)= {2,4,6,8,10}
Therefore A(prime)= {1,2,3,4,5,6,8,10}
analyze the following budget,with an income of $600,to determine how much can be spent on food for the month
Answers
Answer:
C: 80
Step-by-step explanation:
Take 600, and subtract it by the values of 200, 95, 65, and 160.
You get $80 left.
Hope this helps!
If a person who is 5 feet tall throws a ball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet. x y 0 5 1 6.75 2 8 3 8.75 4 9 5 8.75 which quadratic equation models the data in the table?
Answers
The quadratic equation is y = -0.15x² + 2x + 5.5 , Option D is the correct answer.
The complete question is
If a person who is 5.5 feet tall throws a baseball into the air, the path can be modelled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
(table is in the photo below)
Which quadratic equation models the data in the table?
y= −0.25x2 + 2x + 5.5
y= −0.35x2 + 2x + 5.5
y= −0.27x2 + 3x + 5.5
y= −0.15x2 + 2x + 5.5
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
What is an Equation ?When two algebraic expressions are linked with an equal sign , the expression formed is called an Equation.
The standard form of the Quadratic equation is
y = ax² + bx + c
here a, b and c are constants.
From the given data in the table
at point (0, 5.5)
5.5 = a(0)² + b(0) + c
at point (1, 7.35)
7.35 = a(1)² + b(1) + c
at point (2, 8.9)
8.9 = a(2)² + b(2) + c
The system of equations will be solved to determine the value of a,b and c
a= -0.15, b = 2, c = 5.5
Therefore , The quadratic equation is y = -0.15x² + 2x + 5.5 .
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Answer:
B) y= -0.25x^2 + 2x + 5
Step-by-step explanation:
I got it correct on test
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A right rectangular pyramid is sliced parallel to the base, as shown. (100 POINTS)
What is the area of the resulting two-dimensional cross-section?
2 m²
3 m²
9 m²
12 m²
Answers
Step-by-Step Explanation:
We know, the 2-dimensional cross-section is a Rectangle.
Length (l) = 2 m
Breadth (b) = 1 m
Area of the Cross Section = l * b
Therefore,
= lb
= l * b
= 2 * 1
=> 2
Area of the Cross Section = 2 m^2
That shaded region area we need
length=2mBreadth=1mArea
Length×Breadth2(1)2m²Assume that the notation (a,r,s,t) means multiply q and r, then add the product to s and (2,6,4,8)+(4,7,2,6)? Please show work and choose one of the choices like e f g or h
Answers
=============================================
Work Shown:
[tex]\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (2,6,4,8) = \frac{2*6 + 4}{8}\\\\\perp (2,6,4,8) = \frac{12 + 4}{8}\\\\\perp (2,6,4,8) = \frac{16}{8}\\\\\perp (2,6,4,8) = 2\\\\[/tex]
Let m = 2 so we can use this result later.
[tex]\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\[/tex]
Let n = 5 so we can use this result later.
Add the two results.
m+n = 2 + 5 = 7.0 is the final answer.
I’ve been stuck in this for almost 20 minutes
help :/
Answers
Answer:
pi/2 units to the left
Step-by-step explanation:
the formula is y = cos(x-b) so when b is negative, the formula will show a plus sign because minus negative is adding. this means the graph is shifted -pi/2 to the right which is really pi/2 to the left
Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer. You must support your answer using length or slope. A(3, 5), B(7, 6), C(6, 2), D(2, 1)
Answers
In the imaged attached, the most precise name for ABCD is known to be rhombus.
What is the shape about?Looking at the shape attached, one can see that the diagonals of a parallelogram are said to be bisecting one other and if it cross at right angles, it is said to be a rhombus.
Using the Diagonal midpoints of AC and BD, the equation will be:
(A+C)/2
(B+D)/2
To find if the midpoints are similar, then:
A +C = (3, 5) +(6, 2) = (9, 7)
B +D = (7, 6) +(2, 1) = (9, 7)
Therefore, from the solution above, the midpoints of the diagonals are the same, making the shape to be a parallelogram.
In terms of Diagonal vectors, the shape will be perpendicular when the figure is a rhombus. So:
AC = C -A = (6, 2) -(3, 5) = (3, -3)
BD = D -B = (2, 1) -(7, 6) = (-5, -5)
So the lengths will be (3√2 vs 5√2).
Note also that the dot-product of these values need to be zero if they are perpendicular and as such:
AC·BD = x1·x2 +y1·y2 = (3)(-5) +(-3)(-5) = -15 +15 = 0
Therefore, one can say that the diagonals are known to different length and are perpendicular bisectors, so the shape above is regarded as rhombus.
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Name the types of angles shown?
Answers
Answer: B and C
Step-by-step explanation:
Let's start off with some definitions.
Supplementary Angles: Two angles that add up to 180°.
Right Angle: One angle equal to 90°. Also identified with a square on the angle.
Complementary Angles: Two angles that add up to 90°.
Straight Angle: A straight line, which equals to 180°.
Right off the bad, we can knock off A and D because there is no proof of those being seen.
The angle <EFH is a right angle because it is equal to 90°. If you pay close attention, the angles <EFG and <GFH both add up to 90°, making them complementary angles.
Therefore, the correct answers are B and C.
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two dice are thrown what is the probability of two odd number
Answers
Answer:
6/12 or 1/2 or 50% or 0.5
Step-by-step explanation:
You have two 6-sided dice, and there are 3 odd numbers on each.
So, you put 6 on top, (the total number of odd outcomes) and 12 on the bottom. (12 total outcomes for both dice.) This simplifies to 1/2 or 50% or .5.