Answers
Answer:
182
Step-by-step explanation:
2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )
= {182cm}^{2}
The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,
Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)
Now, the Area of a rectangular face is,
Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)
= 160 cm²
The area of the triangle base,
Area = 0.5 × 4cm × 6cm = 12 cm²
Further, the total area of the Prism will be,
Total surface area = 160cm² + 2(12cm²) = 184cm²
Hence, the total surface area of the prism is 184 cm².
Learn more about Area:
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Related Questions
square root of x²-6x+9 if x is greater than or equal 3
Answers
Answer:
x-3
Step-by-step explanation:
x²-6x+9 is equal to (x-3)²
The square root of any term that is positive is equal to the absolute value of the term. If x is greater or equal to 3, it makes the term positive.
So the root of x²-6x+9 is x-3
HELP PLEASE HELP !!!!!!!The net of a triangular prism is shown. Use the ruler provided to measure the
dimensions of the net to the nearest half centimeter.
Which measurement is closest to the total surface area of the triangular prism in
square centimeters?
Answers
Answer:
B
Step-by-step explanation:
The total surface area of the triangular prism is 14 cm². Then the correct option is B.
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangular surface.
A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique.
A prism with the cross-section of a triangle.
The total surface area of the triangular prism will be :-
3(rectangles area) + 2(area of the triangle)
The area of the triangle will be :-
1/2 x base x height
= 4 units²
The area of the rectangle will be :-
length x width
= 2 x 1 = 2 units²
Then the total area will be :-
3(2) + 2(4) = 6+8 = 14 units²
The total surface area of the triangular prism is 14 cm². Then the correct option is B.
More about the triangular prism link is given below.
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Identify and explain the error.
Answers
Answer:
Step-by-step explanation:
Strictly speaking, 15% isn't precisely the same as 0.15; 0.15 is the decimal fraction used to calculate 15% of some quantity.
15% of 52 is indeed 7.8. $7.80 is the discount that is to be SUBTRACTED from the regular price ($52). Adding $7.80 to $52 is incorrect.
Also, 52 + 7.8 - 59.8 is incorrect: it's not an equation (but should be one), and we should be subtracting $7.80 from $52.
I need help finding the area of the triangle plz. sorry I don't understand fractions that much
Answers
Answer:
[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]
Step-by-step explanation:
Area of right triangle formula is
[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]
2+|6+2|
Answer please
Answers
Answer: 10
Step-by-step explanation:
2 + |6+2|
2 + 8
Answer:
10
Step-by-step explanation:
This question uses the term absolute value.
Think of it as a form of distance. If the thing inside an Absolute value bracket is negative, absolute value will make is positive. If it is positive, it will stay the same. Thinking of this, we can solve the problem quite easily.
2 + |8| = 2+8=10
There’s your answer.
which expression has a value of 7/12
A. 6/8+1/4
B. 1/3+1/4
C. 7/8+4
D. 2 1/12+5 1/12
Answers
Answer:
C
Step-by-step explanation:
cuz
To do this, you have to put them into the same denominators. Do this by finding the common factor of both denominator. Then after that multiply the numerator by the number that it takes for the denominator to be multiplied to reach that common factor.
A. 6/8+1/4
The biggest common factor that 8 and 4 have is 16. So this is not the answer, since the denominator has to be 12.
B. 1/3+1/4
The factor that the both have in common is 12.
1*4=4 3*4=12. 4/12
1*3=3 4*3=12. 3/12
4/12+3/12=7/12
Which one is greater 1 4/5 or 21/12
Answers
Answer:
I think 21/12
Step-by-step explanation:
hope it works out,!!
Answer:
Here is the answer 21/12
Step-by-step explanation:
to break 21/12 into a fraction we need to subtract, add a whole.
21-12 is 9 1 9/12
now we need to find a gcf for only 9/12 but divide
this is because the gcf of 4/5 is only 1 so we can’t use it
the gcf for 9/12 is 3
9/12 divided by 3 is 3/4
to know what’s greater I use the butterfly trick Which is sideways multiplying
3. 4
- -
4 5
3 x 5 is 15
4 times 4 is 16
below the 16 should be 4/5
and if you look all the way at the top, it started as 21/12
so it is 21/12
The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?
Answers
Answer:
13.35 millimeter. (About)
Step-by-step explanation:
To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:
πr²/2
So, if the radius is 8.5,
8.5 · 3.14 = 26.69
Now we divide it by 2.
26.69 = 13.345
Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.
Answer:
185.43 mm 2
Step-by-step explanation:
,.
.
.
.
.
.
.
.
4a. Classify the triangle below: 1st
name - a. Scalene b. Isosceles c.
Equilateral. 2nd name - a. Acute b.
Obtuse c. Right
4.8
4.8
45°
45°
6.8
Answers
Answer:
Right isosceles
Step-by-step explanation:
We have a right angle so the triangle is a right triangle
We have two sides that are equal so it is an isosceles triangle
Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?
Answers
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?
Answers
Answer: the Temperature on Tuesday is 13 degrees Celsius
1a) What is the side length of the following square? *
Answers
Answer:
4 unit cubes
Step-by-step explanation:
Answer:
Exact: 2sqrt(5)
Approximate: 4.472
Step-by-step explanation:
The side of the square is the hypotenuse of a right triangle with legs of lengths 2 and 4.
c^2 = a^2 + b^2
c^2 = 2^2 + 4^2
c^2 = 4 + 16
c^2 = 20
c = sqrt(20)
c = sqrt(4 * 5)
c = 2sqrt(5) = 4.472
Haley and her 4 friends decide to go out to dinner at Applebee's. The bill for their table came to $65.30. If they want to split
the bill evenly between them, how much will each person pay?
Answers
Answer:
$13.06
Step-by-step explanation:
There are five people so 65.30/5 = 13.06
Choose the equation of the horizontal line that passes through the point (2, 4). (5 points) y = 2 x = 2 y = 4 x = 4
Answers
Answer:
y=4
Step-by-step explanation:
A horizontal line has constant y values so it is of the form
y=
The point is (2,4) so the y value is 4
y=4
Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)
Answers
Answer:
A
Step-by-step explanation:
(-4-3, 7+7)
(-7, 14)
Answer: A
Step-by-step explanation:
Find the value of x using properties of parallel lines. answers: A) 1 B) 8 C) 5 D) 3.5
Answers
Answer:
1
Step-by-step explanation:
Answer:
B. x=8
Step-by-step explanation:
The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.
(12x+8)+(8x+12)=180
Combine like terms. Add all the terms with a variable, then the terms without a variable.
(12x+8x)+(8+12)=180
20x+20=180
Now, solve for x by isolating x. Perform the inverse operation to both sides.
20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.
20x+20=180-20
20x=180-20
20x=160
x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.
20x/20=160/20
x=160/20
x=8
x is equal to 8, and B is the correct answer.
(URGENT)Determine the cross product of the vectors: x x y
Answers
x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)
Distribute the cross product:
x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)
........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)
........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)
x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)
........... + 91 (i x j) + 28 (j x j) - 63 (k x j)
........... - 52 (i x k) - 16 (j x k) + 36 (k x k)
By definition of the cross product, we have
i x i = j x j = k x k = 0
i x j = k
j x k = i
k x i = j
and for any two vectors x and y, the product is anti-symmetric:
x x y = -(y x x)
This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:
x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)
x x y = 95 k + 61 j + 47 i
x x y = 47 i + 61 j + 95 k
Andrew is working on his homework. One of the questions ask What is the next number is the pattern? 1,1,2,3,5,8.....? What kind of reasoning should Andrew use to find the answer?
A. Law of detachment
B. Syllogism
C. Inductive reasoning
D. Seductive reasoning
Please help me with this
Answers
Answer:
inductive reasoning
Step-by-step explanation:
Answer:
Inductive Reasoning
Step-by-step explanation:
Collecting lots of data to make a conjecture suggests one kind of reasoning.
he center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost
Net games 99$ 8$
Equipment cost mouthy fee
anytime games 19$ 19$
1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.
2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.
3. Use your answers from 1 and 2 to justify which service the community center should purchase.
Answers
Answer:
see below
Step-by-step explanation:
From Netgames
175≥ 99 + 8x
Subtract 99 from each side
175-99 ≥ 99-99 + 8x
76≥ 8x
Divide each side by 8
76/8 ≥ 8x/8
9.5≥ x
He can get up to 9 months along with the equipment
From Anytime
175≥ 19 + 19x
Subtract 19from each side
175-19 ≥ 19-19 + 19x
156≥ 19x
Divide each side by 19
156/19 ≥ 19x/19
8.210526316≥ x
He can get up to 8 months along with the equipment
Since he can get more months from Netgames, he should rent from netgames
Answer:
The center should rent from Net games
Step-by-step explanation:
1. Net games:
175 ≥ 99 + 8x
175 - 99 ≥ 8x
76 ≥ 8x
9.5 ≥ x
It can rent games for 9 and a half months
2. anytime games:
175 ≥ 19 + 19x
156 ≥ 19x
8.2 ≥ x
It can rent games for 8 months
3. Since the center can rent games for a longer period of time with Net games (9.5 months compared to anytime's 8 months), it should rent from there.
Hope this helps, and please mark me brainliest if it does!
Question 4
4.53
60
500
729
8000
Answers
5^3 = 125
125 * 4 = 500
I need help, what is 1/4 x 5.
Answers
Answer: it would be 1.25 since 1/4 is a fraction
1st 1/4 x 5/1
2nd 1+4 =5 keep the denominator
so the final product would be 5/4 or 1.25
Solution of expression 1/4 × 5 is 1.25
What is division?Division is an operation that represents the basic idea of repeated subtraction of the same number. It is inverse of multiplication operation.
Given expression
1/4 × 5
= 5/4
= 1.25
Hence, 1.25 is solution of given expression.
Learn more about division here:
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Evaluate the following expression.
5-1
50
Answers
Step-by-step explanation:
Hope this is correct
Hope it helps you
Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this
Answers
Write the following as an algebraic expression. Subtract 6X +4 from 4X -14.
Answers
___________________________________
Hey!!!
Here's your answer:
4x-14-(6x+4)
=4x-14-6x-4
=4x-6x-14-4
=-2x-18
Hope it helps..
Good luck on your assignment_
________________________________
Answer:
[tex]= - 2x - 18 \\ = - 2(x + 9) \\ [/tex]
Step-by-step explanation:
[tex]4x - 14 - (6x + 4) \\ 4x - 14 - 6x - 4 \\ 4x - 6x - 14 - 4 \\ = - 2x - 18 \\ = - 2(x + 9)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
#stay safe#
What is the range of the function y=sqrtx+5 ?
Answers
Answer:
(0, ♾️ ) is the range of function y=sqrtx+5.
Which expression is equivalent to 510•55
Answers
Answer:
5^15
Step-by-step explanation:
When the bases are the same, we add the exponents when multiplying
5^10 * 5^5
5^(10+5)
5^15
Answer:
5 to the power of 15
Step-by-step explanation:
Find the volume of the prism. PLS HELP
Answers
Answer:
90in^3
Step-by-step explanation:
v=w*h*l=3×5×6=90
Question 3 of 10
2 Points
Which is the best definition of an exterior angle of a triangle?
O A. An angle that is complementary to one of the interior angles of
the triangle
B. An angle that is formed by two segments that are not sides of the
triangle
C. An angle that forms a linear pair with one of the interior angles of
the triangle
O D. An angle that is formed by two segments that are sides of the
triangle
Answers
Answer:
an interior angle is an angle inside a shape, while an exterior angle is an angle made by the side of a shape and a line drawn out from an adjacent side. The sum of the interior angles of a triangle is always 180. ... An exterior angle is equal to the sum of the non-adjacent interior angles.
Step-by-step explanation:
Answer:
An angel that forms a linear pair with okie of the interior angels of the triangle
Step-by-step explanation:
PLZ I need help, it's URGENT!
I don't know if my answers for problems 1-3 are correct, can someone help me please. Thx
Answers
PLEASE HELP ME !!!!!!!!!!
Answers
Answer:
x=139
Step-by-step explanation:
since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)
Answer:
z = 139°
Step-by-step explanation:
LON is a straight angle (an angle with 180°). You can tell just by looking at it.
41° is a supplement (meaning it adds up to 180°) of z.
From there you can just do
180° - 41° = 139°
z° = 139°
hope this help brainliest is always cool
