The net of a triangular prism is shown with dimensions in centimeters. 20 centimeters,. 13 centimeters,. 12 centimeters,. 10 centimeters,. 13 centimeters,. What is the total surface area of the triangular prism in square centimeters? A 900 cm2 B 850 cm2 C 720 cm2 D 840 cm2

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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The two different trinomials that have a greatest common factor of  \(5x^{2} y^{3}\) are:

a) \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\)

b) \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\)

Let us verify,

a)  Consider the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\),

The Greatest Common Factor  of 35, 5, 15 is 5

The Greatest Common Factor  of  \(x^{2} ,x^{4} ,x^{3} =x^{2}\)

The Greatest Common Factor  of  \(y^{5} ,y^{9} ,y^{3} = y^{3}\)

There is no G.C.F for z because it is missing in the 3rd term.

So, the G.C.F  of the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\) =  \(5x^{2} y^{3}\)

b) Consider the trinomial   \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\),

The Greatest Common Factor  of 25, 5, 10 is 5

The Greatest Common Factor  of \(x^{4} ,x^{7} ,x^{2} =x^{2}\)

The Greatest Common Factor  of \(y^{3} ,y^{8} ,y^{4} = y^{3}\)

There is no G.C.F for z because it is missing in the 2nd term.

So, the G.C.F of the trinomial  \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z = 5x^{2} y^{3}\)

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There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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The probability that a student chosen randomly from the class plays a sport and an instrument is given as follows:

11/29.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

From this problem, we have a total of 29 students, while 11 of these students play both an instrument and a sport, hence the probability that a student chosen randomly from the class plays a sport and an instrument is given as follows:

p = 11/29.

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Step-by-step explanation:

where is x in the question

Answer:

True

Step-by-step explanation:

Being organized, having a study schedule and reviewing your work are all great habits to becoming a well-rounded student and generally succeeding in a course.

Please rate 5 stars and/or say thanks if I was able to help!

Have a good day!

~Roi

Answer:

2(x+5)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

your getting 400 points sir or maam

Step-by-step explanation:

Answer:

$34.8

Step-by-step explanation:

12p+4e+20

(12x0.85)+(4x1.15)+20

this gives u the answer 34.8 sir or maam.

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer:

10

Step-by-step explanation:

10 * 2/3 = 20/3

20/3 = 6 2/3

Answer:

He can pour 10 2/3 cup servings of juice.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Prices of two ratios in the ratio is 4 : 1.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.

For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole.

For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books.

Let us assume price of radios are x and y

According to the question

\(\frac{x + 20}{y+20} =\frac{5}{2}\\2x+40=5y+100\\2x-5y=60\)-------------------------- eq(1)

and

\(\frac{x-5}{y-5} =\frac{5}{1}\\5y-x = 20\)

5y-x = 20

multiplying this equation by 2

we get

10y-2x = 40 ------------------ eq(2)

adding eq 1 and 2

we get

5y=100

y=20

solving further we get x=80

Thus the ratio is 4 : 1.

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Answer:

Step-by-step explanation:

Where the question at

Answer:

A

32/16=2.

Or it could be B, but I'm thinking mainly A

Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Answer:

You get 146

Step-by-step explanation:

You must use PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

(ALWAYS in this order)

We have no parenthesis, no exponents, and no subtraction in this problem

So:

Multiplication -

36 x 4 = 144

12 x 8 = 96

12 x 4 = 48

Division -

144 + 96 / 48

96 / 48 = 2

Addition -

144 + 2 = 146

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Considering the given figure we have that

< BAC = < CAD         definition of angle bisection

< BAC = < BCA         base angles of isosceles triangle

This refers to when angles are being shared or divided into two equal parts.

In the given problem, line AC is the bisector of < BAC. creating wo equal angles in the process. hence

< BAC = < CAD         definition of angle bisection

Triangle BAC is an isosceles triangle, since the sides BA and BC are equal. the angles are also equal therefore

< BAC = < BCA         base angles of isosceles triangle

Line AC is also a transversal line, connecting the two parallel lines BC and AD. This creates opportunity for alternate angle theorem

< BCA = < CAD        alternate internal angle theorem

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Answer:

3.46

Step-by-step explanation:

Given the regression output :

Predictor Coef ___SE __ Coef __ T ___ P

Constant 2.6476_0.3281_ 8.07 0.000

Sleep 0.10176 0.04347 **** *****

S = 0.1804

R-Sq = 31.3%

R-Sq(adj) = 25.6%

The regression equation which models the relationship between hours of sleep a student gets and his GPA can be obtained from the regression output :

The GPA is the dependent, y variable

Hours of sleep is the independent, x variable

y = 0.10176x + 2.6476

Hence, the GPA of a student who gets 8 hours of sleep on a typical school can be computed thus ;

Hours of sleep, x = 8

y = 0.10176(8) + 2.6476

y = 0.81408 + 2.6476

y = 3.46168

Thus, predicted GPA = 3.46

After the multiplication the answer of -3 1/2 times (-2 7/10)  in simplest form is \(\frac{189}{20}\) or 9.45.

The multiplication operation can be described as the operation that involve the product of two or more terms which is usually in the form a*a and it can be regarded as the mathematical operation.

We were given  -3 1/2 times (-2 7/10) were asked to perform a multiplication operation on it,

Then  we can make the multiplication on -3 1/2 times (-2 7/10) , but we will first turn the mixed numbers to the improper fraction for easy calculation.

\(= (-7/2) * (-27/10)\)

= \(\frac{189}{20}\)

=9.45.

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Answer:

yes

Step-by-step explanation:

grehrehshbrenjt5rahtrere

1.7a+0.3a=0.8

2a=0.8

a=0.4

Answer:B, x-1+x-2+x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

\(\displaystyle x=- \frac{5}{7}\)

Step-by-step explanation:

\(5(2x-7)+42-3x=2\)

Expand brackets.

\(10x-35+42-3x=2\)

Combine like terms.

\(10x-3x+42-35=2\)

\(7x+7=2\)

Subtract 7 on both sides.

\(7x+7-7=2-7\)

\(7x=-5\)

Divide both sides by 7.

\(\frac{7x}{7} =\frac{-5}{7}\)

\(x=- \frac{5}{7}\)

Answer:

\( \boxed{\sf x = - \frac{5}{7}} \)

Step-by-step explanation:

\( \sf Solve \: for \: x: \\ \sf \implies 5(2x-7)+42-3x=2 \\ \\ \sf 5(2x - 7) = 10x - 35 : \\ \sf \implies \boxed{ \sf 10x - 35} - 3x + 42 = 2 \\ \\ \sf Grouping \: like \: terms, \: 10x - 35 - 3x + 42 = \\ \sf (10x - 3x) + ( - 35 + 42) : \\ \sf \implies \boxed{ \sf (10x - 3x) + ( - 35 + 42)} = 2 \\ \\ \sf 10x - 3x = 7x : \\ \sf \implies \boxed{ \sf 7x} + ( - 35 + 42) = 2 \\ \\ \sf 42 - 35 = 7 : \\ \sf \implies 7x + \boxed{ \sf 7} = 2 \\ \\ \sf Subtract \: 7 \: from \: both \: sides: \\ \sf \implies 7x + (7 - \boxed{ \sf 7}) = 2 - \boxed{ \sf 7} \\ \\ \sf 7 - 7 = 0 : \\ \sf \implies 7x = 2 - 7 \\ \\ \sf 2 - 7 = - 5 : \\ \sf \implies 7x = \boxed{ \sf - 5} \\ \\ \sf Divide \: both \: sides \: of \: 7x = - 5 \: by \: 7: \\ \sf \implies \frac{7x}{7} = \frac{ - 5}{7} \\ \\ \sf \frac{7}{7} = 1 : \\ \\ \sf \implies x = - \frac{5}{7} \)

Answer:

length-x

width-x-4

area-- length* width

192=X*(X-4)

x^2-4x-192=0

x^2-16x+12x-192=0

X(x-16)+12(x-16)=0

(x-16),(X+12)

X= 16 because X cannot be negative like (-12)

the dimensions of the classroom will be

length = 16

width = 12

I hope this will help everyone

Answer:

i think c or b I D K

Step-by-step explanation:

Answer:

Part B the degree of the expression is the highest power which is in 12x^2

so its degree 2

5 years ago

So that answer is for part a?

12x^2+55x+50?

Step-by-step explanation: