The surface area of the triangular prism is 156cm² when the triangle sides are 8cm and 15 cm rectangle sides are 17cm and 2 cm.
Given that,
We have to find the total surface area of the triangular prism in the given picture.
We know that,
First, we need to calculate the area of the triangle
a = area of triangle
a = 1/2 ×15 cm × 8 cm
a = 60 cm²
Now,
We must determine the three rectangles' areas.
a₁ = 2cm × 17cm
a₁ = 34cm²
a₂ = 2cm × 15cm
a₂ = 30cm²
a₃ = 2cm ×8cm
a₃ = 16cm²
Now, we must multiply the triangle by two and sum all the estimated areas.
a₁ + a₂ + a₃ + 2a =60cm² + 34cm² + 30cm² + 2 × 16cm² = 156cm²
Therefore, The surface area of the triangular prism is 156cm² when the triangle sides are 8cm and 15 cm rectangle sides are 17cm and 2 cm.
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A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas
Answer: 360,000
Step-by-step explanation: First you would convert 12 kilometers to meters, which is 120,000. Then multiply that by 3. You get 360,000 meters. Therefore, the car can travel 360,000 meters on liters of gas.
A grocery tore ha 13%-off ale on all bread. You decide to purchae 6 loave of bread. Let b be the original price of a loaf of bread. Expand the expreion 6(b-0. 13b). Once the expreion i expanded, who do the term repreent
6b - 0.78b it will result after expanding the expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.Let, b represent the original price of a loaf of bread.
Given that,
A grocery store has 13%-off sale on all bread.
This means that the amount by which the price of bread was reduced would be
13/100 × b = 0.13 × b = 0.13b
The new price for the loaf of bread would be: b - 0.13b
you decide to purchase 6 loaves of bread. The expression would be:
6(b - 0.13b)
Expanding the expression, it becomes: 6b - 0.78b
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Oliver wants to buy a hat that has an original price of $25 . The store is having a 20% off sale on everything in the store. Question: With this discount, what is the final cost of the hat?
Answer:
$20
Step-by-step explanation:
There are a few ways to do this. We know 20% is 1/5 and 1/5 is 5 dollars. since that's the percent off, we would subtract it from 25.
For general percents off, they might not be so easy. It is important to know the method. We must multiply by the decimal of the percent, so
[tex]25 \times .20 = 5[/tex]
Now, since it is this amount off, we subtract 5 from 25.
[tex]25 - 5 = 20[/tex]
$20 is the final price of the hat!
hope this helps!
A soccer team earns 2 points for a win and 1 point for a tie. Let w represent the number of wins and t represent
the number of ties. Write an expression that describes the team’s total points
An expression that describes the team’s total points will be 2w + t.
How to calculate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator
In this case, the soccer team earns 2 points for a win and 1 point for a tie.
Let w represent the number of wins and t represent the number of ties.
The expression that describes the team’s total points will be:
= 2(w) + t
= 2w + t
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Add (-5+2i) +(3+4) please answer this and you’ll receive 100 pts
Answer:
2+2i
Step-by-step explanation:
(-5+2i)+(3+4)
-5+3+4+2i
-5+7+2i
2+2i
can somebody please help me with this
The scale factor of the image is 1/4 or 0.25.
What is scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
To solve this question, use the coordinates of WX and W'X' as points of reference.
From the diagram, it can be obtained that -
W(-8,8) and X(8,0)
W'(-2,2) and X'(2,0)
First, calculate distance for WX -
Distance formula is -
d = √(x2-x1)^2+(y2-y1)^2
Distance for WX -
d1 = √(8+8)^2+(0-8)^2
d1 = √(16)^2+(-8)^2
d1 = √256+64
d1 = √320
d1 = 17.88
Distance for W'X' -
d2 = √(2+2)^2+(0-2)^2
d2 = √(4)^2+(-2)^2
d2 = √16+4
d2 = √20
The scale factor is then calculated using -
Scale = W'X'/WX
Scale = d2/d1
Substitute values of d1 and d2 -
Scale =√20/√320
Scale = √(20/320)
Scale = √1/16
Scale = 1/4
Therefore, the scale value is 0.25.
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which is the correct comparison of solutions for 2(5-x) > 6 and 22 > 2(9+x)?
The correct comparison of solutions for the expression is x < 2
How to determine the correct comparison of solutions for the expressionFrom the question, we have the following parameters that can be used in our computation:
2(5-x) > 6 and 22 > 2(9+x)
Rewrite the expression properly
So, we have the following representation
2(5 - x) > 6 and 22 > 2(9 + x)
Divide both sides of the expressions by 2
So, we have the following representation
5 - x > 2 and 11 > 9 + x
Subtract both sides of the expression by the constant term
This gives
-x > -3 and 2 > x
Rewrite as
x < 3 and 2 > x
So, we have
x < 3 and x < 2
When combined, we have
x < 2
Hence, the solution is x < 2
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Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Given
y x² - 8x + 14
(a)
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 + 14
y = (x - 4)² - 2 ← in vertex form
(b)
Since the multiplier a = 1 > 0 then vertex is a minimum
(c)
(h , k ) = (4, - 2 ) ← coordinates of vertex
# Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups
of sugar that Recipe B calls for. If she needs four and one-sixths cups of sugar in all, how many cups will she need for Recipe A?
Answer: 2 2/3
Step-by-step explanation:
The function f(x) = x² +1 has a minimum at what coordinate point (x, f(x))? See the graph below.
Answer:
(0,1)
Step-by-step explanation:
how many integer between 20 and 40 divisable by 3
Answer:
4 prime numbers all divisible by 3
Step-by-step explanation:
there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3
Answer:
7 integers
Step-by-step explanation:
We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.
1: 3 * 7 = 21
2: 3 * 8 =24
3: 3 * 9 = 27
4: 3 * 10 = 30
5: 3 * 11 = 33
6: 3 * 12 = 36
7: 3 * 13 = 39
What is the area of this figure?
4 ft
10 ft
11 ft
9 ft
15 ft
19 ft
square feet
Answer:
okok so you have all those numbers
remember area is multiplying
so multiply all that so that gives u
1,128,600
im not 100% sure but i think
What is the solution for 7x 5 =- 19?
x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
7x + 5 = -19
or, 7x = - 19 - 5
or, 7x = - 24
or, x = - 8
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2) A mom-and-pop bistro is built on a rectangular lot. If the area of the lot is 750 m^2, find the area of the bistro.
Answer:
not enough information
Step-by-step explanation:
Question 10 options:
Which is not a property of a parallelogram?
A) All sides are congruent. B) Diagonals are perpendicular bisectors of each other. C) Opposite angles are congruent. D) Diagonals are congruent.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. All angles are congruent, and the diagonals bisect each other and are congruent. It does not, however, have the property that all angles are equal.
A parallelogram is a four-sided shape with two pairs of parallel lines. The opposite sides of the parallelogram must be congruent, meaning that they have the same length. All angles are congruent, which means that they all have the same measure. The diagonals of the parallelogram bisect each other, meaning that they divide each other into two equal parts, and they must also be congruent. All of these properties are true for a parallelogram, except that the angles do not have to be equal. The angles can be either acute, obtuse, or right angles, but they must all have the same measure. So, in conclusion, the property that is not true for a parallelogram is that all angles are equal.
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terrence uses pieces of wood that are 10 inches long to make whistles. he has a piece of would that is 12 and a half feet long. how many whistles can he make?
Answer:
15 whistles
Step-by-step explanation:
12.5 feet is 150 inches
150 ÷ 10 = 15
you are building a 3-foot tall chest. you want the volume to be 60 cubic feet. what should the area of the base be
Answer:
You want the area of the base to equal 20 ft^2
Step-by-step explanation:
Volume of a cube= (L)(w)(h)
Area of base = (L)(W)
60 cubic feet is the volume we are trying to acheive. Since the volume for a cube is (L)(w)(h), 3 needs to multiply by the area of the base to equal the volume. since 3 times 20 equals 60(You solve this by dividing 60 by 3) the base needs to equal 20ft^2.
The table shows the amount of words Andrew and ella can text per second Andrew : 1 | _
7 | 21
28 | 84
Ella : 1 | _
4 | 14
16 | 56 who can type faster?
In words , explain how you know. PLEASEEEE HELP ME !
Ella can type faster than Andrew because the rate at which she types is faster than Andrew's rate by 0.5 text per second.
What is rate of change?In Mathematics, rate of change can be defined as a type of function that describes the average rate at which a quantity either decreases or increases with respect to another quantity.
In this scenario, we would determine the rate of change with respect to the amount of words that Andrew and Ella can type per second as a ratio. For the amount of words that Andrew can type per second, we have:
Andrew = 7/21 = 28/84 = 1/3 or 1:3.
For the amount of words that Ella can type per second, we have:
Ella = 4/14 = 16/56 = 1/3.5 or 1:3.5
Difference = 3.5 - 3
Therefore, we can logically conclude that Ella can type faster.
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The width of a swimming pool is one third of its length. The width of the pool is 15 feet. What is the length of the
pool?
A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of 202020 centimeters. Darnell is a middle school student with a height of 161.4161.4161, point, 4 centimeters.
Complete question :
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnell is a middle school student with a height of 161.4 centimeters.
What proportion of student heights are lower than Darnell's height?
Answer:
0.716 (71.6%)
Step-by-step explanation:
Given that :
Mean, μ = 150
Standard deviation, σ = 20
Darnell's height, x = 161.4
(x < 161.4)
We obtain the standardized score, then find the proportion using a standard normal distribution ;
Zscore = (x - μ) / σ
Zscore = (161.4 - 150) / 20
Zscore = 11.4 / 20
Z = 0.57
P(Z < 0.57) = 0.71566 (Z probability calculator)
This means that about 0.716 (0.716 * 100% = 71.6%) of student's height are lower than 161.4 centimeters
Answer: 0.11
Step-by-step explanation:
Since we know the distribution of heights is normally distributed, the probability P(X>175) can be found by calculating the shaded area above X=175 in the corresponding normal distribution:
P(X>175)≈0.11 is the answer.
Transversals
Find the value of x.
Answer:
look at the picture I sent
Quadrilateral TEAMTEAMT, E, A, M i rotated -180^\circ−180
∘
minu, 180, degree about the origin
The quadrilateral's image points will be,A(3, 3) → A'(-3, 3) R(5, 7) → R'(-7, 5) M(7, 5) → M'(-5, 7) Y(5, 1) → Y'(-1, 5).
If a point (x, y) is rotated 180 degrees anticlockwise with respect to the origin, the rotational rule is:
(x, y) → (-y, x) (-y, x)
Consequently, the image point's coordinates following rotation will be (-y, x).
Using this guideline,
The quadrilateral's image points will be,
A(3, 3) → A'(-3, 3)
R(5, 7) → R'(-7, 5)
M(7, 5) → M'(-5, 7)
Y(5, 1) → Y'(-1, 5)
By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.
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The question is incomplete, complete question:
Quadrilateral ARMY is rotated 180 degrees about the origin. Draw the image of this rotation.
Solve the equation below on the interval [0, 2pi). Select ALL that apply.
cos^2x-1=0
A. 0
B. pi/2
C. pi
D. 2pi
What is a 3 degree equation called?
A three-degree equation is referred to as a cubic equation. The polynomials are referred to as cubic polynomials if they have a degree of three.
what is cubic equation ?A three-degree equation is referred to as a cubic equation. All cubic equations have roots that are either three real roots or one real root and two imaginary roots. The polynomials are referred to as cubic polynomials if they have a degree of three. The opposite of cubing an integer is finding the cube root of that number. It can be determined by first determining how the given integer can be divided into prime factors, and then by using the cube root formula.
given
A three-degree equation is referred to as a cubic equation.
All cubic equations have roots that are either three real roots or one real root and two imaginary roots.
The polynomials are referred to as cubic polynomials if they have a degree of three.
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What is the difference of polynomial and equation with example?
A polynomial is an expression involving variables and coefficients, which is formed by adding, subtracting, multiplying, and taking non-negative integer exponents of the variables. A mathematical statement that two expressions are equal is known as an equation.
A mathematical statement that two expressions are equal is known as an equation.
Example of a polynomial:
2x^2 + 3x + 5
Example of an equation:
2x^2 + 3x + 5 = 0
Let's say we are solving the equation 2x^2 + 3x + 5 = 0
Step 1: Subtract 5 from both sides.
2x^2 + 3x = -5
Step 2: Divide both sides by 2.
x^2 + 3/2 x = -5/2
Step 3: Use the quadratic formula to solve for x.
x = (-3 ± √17) / 4
Step 4: Simplify the answer.
x = (-3 ± 4.12) / 4
Step 5: Solve for the two values of x.
x = -0.78 or x = 3.28
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A school surveyed its
students about TV viewing. The average time
spent watching TV each
day was 3 hours. What
percent of 24 hours on
the average was spent
watching TV?
Answer:
12.5%
Step-by-step explanation:
Mitch measured a house and its lot and made a scale drawing. The scale of the drawing was
1 inch : 2 feet. The deck is 23 inches in the drawing. How long is the actual deck?
feet
(Enter the number only, no units or extra spaces.)
Answer:
4in
Step-by-step explanation:
Answer:
46 feet
Step-by-step explanation:
23 x 2 = 46
Una llave llena un tanque en 4 horas y el desagüe lo vacía en 6 horas. ¿En cuánto tiempo se llenará el tanque, si ambas llaves se abren al tiempo?
A. 10 horas y 15 min
B. 2 horas y 15 min
C. 12 horas y 15 min
D. 12 horas
Answer:
Creo que la respuesta sería B: 2 horas y 15 minutos.
Step-by-step explanation:
what can 8 and 32 both divided by
Answer:
2,4,8
Step-by-step explanation:
HELP!! Find the value of…
Answer:
It C man.
Step-by-step explanation:
You don't need this