What is the surface area of the triangular prism represented by the net below?
Answers
Answer:
608 cm^2
Step-by-step explanation:
Top and bottom rectangles:
2(10*16)
= 2(160)
= 320
Middle rectangle:
(12*16)
= 192
Two triangles:
2((12*8)/2)
= 2(96/2)
= 96
Surface area of the whole prism:
320 + 192 +96
= 608
The surface area of the triangular prism is 608 cm² represented by the net.
What is the volume of a rectangular prism?The volume of the rectangular prism is the product of the base area and the height.
The triangular prism is given in the question, as shown:
As per the given figure, the surface area of the triangular prism will be:
Three rectangles ( top, bottom, and middle) + Two triangles
2(10×16) + (12×16) + 2((12×8)/2)
2(160) + 192 + 2(96/2)
320 + 192 + 96
Apply addition operation, and we get
608
Thus, the surface area of the triangular prism is 608 cm².
Learn more about the volume here:
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Related Questions
Simplify, using the distributive property and then combining like terms. 5c+2(10−c)
Answers
Answer:
3c +20
Step-by-step explanation:
5c+2(10−c)
Distribute
5c+ 20 -2c
Combine like terms
3c +20
Answer:3c+20
Step-by-step explanation:
Distribute
5c+(2)(10)+(2)(-c)
5c+20+-2c
Combine Like Terms:
(5c+-2c)+(20)
3c+20
Hope I helped:)
a circle with a radius of 1 unit
Answers
Answer:
C= 6.28 A: 3.14
Step-by-step explanation:
Circumference of a circle is 2* pi * r
Based on this, we can subsitute r for 1
2* pi * 1= 2pi which is around 6.28 units
Area of a circle is pi* r* r
Based on this, we can subsitute r for 1
pi* 1* 1= pi= 3.14 units squared
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Answers
Answer:
The probability that exactly half of the colonies will thrive = (1/3) = 0.3333
Step-by-step explanation:
The list of random numbers simulates the out comes of 4 colonies.
Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?
The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.
Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.
The 6 trials are given as
4285; 3 colonies thrive, 1 doesn't.
6903; 3 colonies thrive, 1 doesn't.
3829; 2 colonies thrive, 2 don't.
7871; 1 colony thrives, 3 don't.
2868; 2 colonies thrive, 2 don't.
5137; 3 colonies thrive, 1 doesn't.
The number of trials where exactly 2 colonies thrive = 2
The total number of trials = 6
The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333
Hope this Helps!!!
1: The value of an object after t years can be modeled by the function v(t) = 1500 - 120t
Find the value of the object after 20 years.
Answers
Answer:
5
Step-by-step explanation:
please help me! thank you
Answers
Answer:
13 pounds happy to help mark me as brainliest pls!!!
Step-by-step explanation:
find the vertex of the parabola represented by the function f(x)= -2x^2
Answers
The vertex of this parabola is the origin or, (0 , 0)
Hope this helps !
Select all correct conversions.
53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)
Answers
The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
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If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?
Answers
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
current count = 4
current sum = 76+92+89+97=354
we need average = 90 = sum/5
so, we need sum = 90*5=450
To get sum 450, he needs to score 450-354=96 on his best test.
Now, (76+92+89+97+96)/5=90
find the area of the trapezoid could you go
Answers
Answer: 11.31372
Step-by-step explanation:
Find the height using pythagorean theorem1+b^2=9
you should get radical 8
2. Then plug your values into the formula and you get your answer
Mick is planning a party. He wants to serve pizza, chips, and soda Mick discovers that he can purchase one pizza for $11.80, one
bag of chips for $1.59, and one bottle of soda for $1.74. If Mick needs 12 pizzas, 15 bags of chips, and 15 sodas, which is a reasonable amount that he will spend on food for the party?
A. $204.00
B. $84.00
C. $58.00
D. $246.00
Answers
Answer:
A. $204.00
Step-by-step explanation:
Pizzas: 11.80*12=141.6
Chips: 1.59*15=23.85
Sodas: 1.74*15=26.1
Equation: 141.6
23.85
26.1
_______+
191.55 closest to $204.00
A a=35
B a=-35
C a=28.5
D a=57
Answers
Answer:
B.) -35
Step-by-step explanation:
Please help ASAP I’m confused
I WILL GIVE BRAINLIEST
Answers
Answer: [tex]x=4.7434[/tex]
Step-by-step explanation:
Use the pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
plug in and solve
[tex]x^{2} +3x^{2} =(3\sqrt{10}) ^{2}[/tex]
[tex]4x^{2} =90[/tex]
[tex]x^{2} =22.5[/tex]
[tex]x=4.7424[/tex]
if you need to solve for the sides
3x = 3(4.7434) = 14.2302
Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch marking
is most likely the value that Shirley measures?
A.
3.0 in
New
B.
3.0 mm
OC.
2.85 mm
OD
0.118 in
Answers
Someone please help me!
Answers
Answer:
18.5
Step-by-step explanation:
You are given the opposite side, and need to find the hypotenuse, leading you to use sine.
Set it up, like so:
[tex]sin67=\frac{17}{x} \\[/tex]
Multiply everything by x, to remove it from the denominator:
[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]
Divide both sides by sin67:
[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]
Round to nearest tenth:
x = 18.5
I need the answer to this question
Answers
Explanation: just is
Given the line 2 x - 3 y - 5 = 0, find the slope of a line that is perpendicular to this line. A.3/2
B.2/3
C.- 3/2
Answers
Answer:
Step-by-step explanation:
2x - 3y = 5
-3y = -2x + 5
y = (2/3)x - 5
the perpendicular slope is -3/2
the answer is c
Answer:
the perpendicular slope is -3/2
Step-by-step explanation:
It costs Trevor $50 to have a security system installed in his house. He pays a monthly service fee plus tax of 6% of his monthly bill. After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation. Trevor’s monthly service fee, not including taxes, is ___.
Answers
Answer:
$49
Step-by-step explanation:
Cost of security system installation = $50
Let the monthly service cost be $x
In 6 month monthly service cost = 6*$x= $6xtax percentage = 6% of monthly service cost
hence if monthly service cost is $x
Then Tax value in terms of x is = 6% of $x = 6/100 * $x =$ 0.06x
In 6 month, Tax value in terms of x = 6 * $0.06x = $.36x_______________________________________________
Therefore total cost incurred by Trevor in 6 month including installation charges =
6 month monthly service cost + Tax value in 6 month + installation cost
Substituting value of 6 month monthly service cost , Tax value in 6 month , installation cost in above expression we have
Therefore total cost incurred by Trevor in 6 month including installation charges = $6x+ $0.36x+ $50 = $6.36x + $50
But it is given that After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation
Therefore total cost incurred by Trevor in 6 month including installation charges is also equal to $361.64
Hence,
$6.36x + $50 = $361.64
=> $6.36x = $361.64 - $50
=>$6.36x = $311.64
=> x = $311.64/6.36
=> x = 49.
Therefore , Trevor’s monthly service fee, not including taxes is $X which is equal to $49.
Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answers
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Answers
Answer:
hang gang ok
i10 Njan malayalam verupikkal is my job
1) write down a different ratio equivalent to 12 : 3
2) write down a different ratio equivalent to 30 : 24
Answers
2) 60:48
I just multiplied by 2
Answer: 1) 4:1 2) 60/48
Step-by-step explanation:
1. 12: 3 is the same as 12/3 so you can diving both side by 3.
12:3 ÷ 3/3=4/1
2. 30:24 is the same as 30/24 so you can divide both sides by 6 or multiply both sides by 2.
30/24 * 2/2= 60/48
I need help finding the area
Answers
Answer:
48m
Step-by-step explanation:
A=hbb
2=12·8
2=48
Answer:
60
Step-by-step explanation:
12 x 10 = 120
120 / 2 = 60
hope this helps :)
The diameter of a circle is 8 cm. Which equation can be used to find its circumference? WILL MARK BRAINLIEST
A. C =π×88
B. C=π × 4
C. C = 16×π
D. C=π × 8
Answers
Answer:
The equation is D. C= π × 8.
Step-by-step explanation:
ASAP PLS
How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =
Answers
Answer:
48π
Step-by-step explanation:
The radius is 4 and the height is 9
V=1/3*π 4^2*9
Simplify:
48π
Is this SAS or Not SAS?
Answers
the special assault squad or the SAS where oppressive soldiers sent from england to murder irish people for fighting for freedom
Please help will be greatly appreciated
Answers
Answer:
Step-by-step explanation:
Hands you please help
In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?
a) reflection followed by a rotation
b) translation followed by a rotation
c) translation followed by a reflection
Answers
Answer:
B. i think?
Step-by-step explanation:
HELP ASAP PLEASEEEE!
Answers
Answer:
it is c
Step-by-step explanation:
what is the greatest common factor of 33,15
Answers
Answer:
The answer is 3
Step-by-step explanation:
Use the definition of a parallelogram to complete the biconditional statement.
A parallelogram is a quadrilateral with two pairs of parallel sides.
A quadrilateral is a parallelogram _[blank]_.
Which answer correctly fills in the blank in the previous sentence?
if it has two pairs of parallel sides and is a polygon
if and only if it has two pairs of parallel sides
because it has only four sides and two of them are parallel
if it has only two pairs of parallel sides
Answers
Answer:
if and only if it has two pairs of parallel sides
Step-by-step explanation:
The definition says that a paralellogram is a quadrilateral with two pairs of parallel sides. That means that the only way to have a paralellogram is to have a quadrilateral with two pairs of parallel sides. If we have a quadrilateral with only one pair of parallel sides, then it is not a parallelogram.
This translates to the following statement "a quadrilateral is a parallelogram if and only if it has two pairs of parallel sides". Meaning that if we have a parallelogram we know we have a quadrilateral with two pairs of parallel sides and if we have a quadrilateral with two pairs of parallel sides we have a parallelogram.
Maia and John both earn $15 an hours their job. This week Mais worked three hours more than John. If "h" represents the number of hours John worked, and in total they earned $195, how many hours did each person work?
Answers
Answer:
John: 5 Mais :8
Step-by-step explanation:
h = 195 ÷ 15, so they both worked a total of 13 hours.
13 - 3 as Mais worked 3 hours more than John and then divide 10 by 2, so John worked 5 hours are Mais worked 5+3 [8] hours.
