What is the surface area of this triangular prism rounded to the nearest tenth?
A) 133.5 ft2
B) 145.3 ft2
C) 152.6 ft2
D) 163.7 ft2

Final answer:

To convert gallons to liters, use the conversion factor of 1 gallon being equal to 3.8 liters to find that there are approximately 120.1 liters of oil in the barrel.

Explanation:

To convert gallons to liters, we need to use the conversion factor of 1 gallon being equal to 3.8 liters.

Calculate the total liters in the barrel: 31.6 gallons * 3.8 liters/gallon = 120.08 liters

Therefore, there are approximately 120.1 liters of oil in the barrel.

The solution for equation is x = -6

Solution:

Given equation is:

[tex]5(x-2) + (-9) = -7(1-x)[/tex]

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

[tex]5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x[/tex]

Solve for terms in left hand side of equation

[tex]5x - 19 = -7+7x[/tex]

Move the variables to one side and constants to other side

[tex]7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6[/tex]

Thus the solution for equation is x = -6

Answer:

Find what number is larger

Answer:

Mark

Step-by-step explanation:

29 is bigger than 26

Answer:

A numerator is the number that you actually have, the top number in a fraction

Step-by-step explanation:

A numerator is the top number on a fraction, such as 1 in 1/2.

I had trouble at this for a while when I was younger, so hopefully this helps (=>ω<=)

Yo sup??

The answer to your question is option 1 ie

s=rootindex 3 startroot 27 endroot

because we know that

Volume of cube=s^3

27=s^3

s=27^1/3

Hope this helps.

Answer: A? It’s A

Step-by-step explanation:

Answer: 8 squared equals 8 plus 56

Step-by-step explanation:

What you would do is find a number squared that is greater than 56. I used 8 because 8 squared is 64. So i squared that and got 64, I then subtracted 8 from 64 because you would need to use the same x value in the equation and that lead me t getting 56. All in all x=8.

Answer:

the answer is D 119

hope it helps!

The sum of the interior angles of a triangle is equal to 180 degrees. Using this property, we can solve for the unknown angle in the triangle. In this case, the unknown angle is x. By setting up an equation and solving for x, we can determine that the value of x is B) 21.

The answer is B. 21.

The sum of the angles in a triangle is 180 degrees. So, we have the following equation:

(5x+14) + 40 + x = 180

Combining like terms, we get:

6x + 54 = 180

Subtracting 54 from both sides, we get:

6x = 126

Dividing both sides by 6, we get:

x = 21

Therefore, the value of x is 21.

For such more questions on interior angles

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Answer:

2.4 miles

Step-by-step explanation:

3/10 miles per day * 8 days = 2.4 miles

Answer:

24/10= 2.4 miles

Step-by-step explanation:

Multiply 3/10 by 8 which can also be made as 8/1 so

3*8=24

10*1=10

24/10 can be simplified to 2.4

Answer: Trapezoid

Step-by-step explanation:

A trapezoid is a quadrilateral with one pair of parallel sides.

A parallelogram has two pairs of parallel sides

Answer:

2x + 5

Step-by-step explanation:

 Make sure you remember the area of a square with side which is [tex]s^{2}[/tex]. Once you figure that out, you need to find the length of a​ side, make sure you factor the expression of the area as a​ perfect-square trinomial.

 An example of that is...

[tex]a^{2} +2ab+b^{2}[/tex] [tex]= (a +b)^{2}[/tex]

^^key point^^

Break it down and take the length out of the Square of Sum and you should get your answer.

Example: Use Square of Sum and get [tex](2x+5)^{2}[/tex]  then, get rid of parentheses >> 2x + 5 and you should get your answer :)

Answer: 9.84 x 10²

Step-by-step explanation: To write 984 in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.

So here we have 9.84.

Next, count the number of places that we would need to move the decimal point in 9.84 in order to get back to the original number, 984.

Since we would need to move the decimal point two places to the right to get back to the original number, we have an exponent of 2.

Notice that our exponent is positive because we would need to move the decimal point to the right.

Now, scientific notation is always expressed as a power of 10. In this case, we have 10 to the 2nd or 10 to the 2nd power.

So 984 can be written in scientific notation as 9.84 x 10².

Answer:

x=4

Step-by-step explanation:

3(x+1)-5x=12-(6x-7)

3x+3-5x= 12-6x+7

-2x+3=19-6x

-2x+6x=4x

19-3=16

4x=16

16/4=4

x=4

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three : [tex]$\frac{x}{3}[/tex]

A number divided by three less two : [tex]$\frac{x}{3}-2[/tex]

A number divided by three less two is at most two : [tex]$\frac{x}{3}-2\leq 2[/tex]

Now, simplify the inequality,

[tex]$\Rightarrow\frac{x}{3}-2\leq 2[/tex]

Add 2 on both sides of the inequality,

[tex]$\Rightarrow\frac{x}{3}-2+2\leq 2+2[/tex]

[tex]$\Rightarrow\frac{x}{3}\leq 4[/tex]

Multiply by 3 on both sides of the equation,

[tex]$\Rightarrow\frac{x}{3}\times3\leq 4\times3[/tex]

[tex]$\Rightarrow x\leq 12[/tex]

Hence x ≤ 12.

Final answer:

The question requires setting up an inequality to express the condition 'a number divided by three less two is at most two.' The solution of the inequality reveals that the number in question is any number less than or equal to 12.

Explanation:

The student's question involves a number theoretical concept that requires setting up and solving an inequality. To understand the requirement of 'at most two' when a number is divided by three and reduced by two, we would establish an inequality as X / (3-2) ≤ 2, where X is the unknown number. This inequality represents the condition mentioned in the question, which restricts the value of X to a certain range after the operations are performed.

When working through the inequality, we aim to isolate X to determine the possible values it can hold. Here, we would start by adding two to both sides of the inequality to remove the subtraction, leading to X / 3 ≤ 4. Multiplying both sides by 3 gives us X ≤ 12. This tells us that the number in question is any number that is less than or equal to 12.

Understanding mathematical operations and the interpretation of numerals in context is necessary to solve such problems. Specifically, discerning the difference between an 'at least' and 'exactly' reading of numerals impacts the formation and solution of such inequalities.

Answer:

  it is a solution

Step-by-step explanation:

When you put the number where x is, you get ...

  -14 > -17 . . . . a true statement

Since this statement is true, x=-14 is a solution.

The number -14 is a solution to the inequality X > -17 in mathematics as it falls within the range of numbers greater than -17.

In the realm of mathematics, inequalities define a range of values that can be a solution. In this case, the inequality is X > -17. This means any number greater than -17 is a solution to the inequality. If we consider -14, it falls within this range because -14 is greater than -17. Therefore, yes, -14 is a solution to the given inequality.

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The length of the Little Drop is unknown. However, the question defines that the Big Drop is twice the length of the Little Drop. The exact length cannot be factually stated without more information.

The question states that the Big drop is twice as long as the little drop. Let's say that the length of Little Drop is represented as 'L'. We don't know the exact length of 'L', but we can say that the length of the Big Drop is twice this, which can be represented as 2L.

Since we don't have a specific measure given for either drops, the exact length of Little Drop can't be determined from the information provided. However, whatever it is, we understand that Big Drop is twice that length.

This question is a good demonstration of relative sizing in Mathematics, where we use one unknown quantity to express the size of another

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Answer:

2/15in^2

Step-by-step explanation:

Area of rectangle is given by:

where

A is the area of rectangle

l is the length of the rectangle

w is the width of the rectangle

As per the statement:

a rectangle is 2/5 inches long and 1/3 inches wide

then using area formula we have;

Answer:

the answer is 325

Step-by-step explanation:

Answer:

Elijah is  standing from the base of the monument 159.14 feet

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

[tex]tan(74^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

[tex]tan(74^o)=\frac{555}{AC}[/tex]

solve for AC

[tex]AC=\frac{555}{tan(74^o)}=159.14\ ft[/tex]

therefore

Elijah is  standing from the base of the monument 159.14 feet

Answer:

51 inches of rope?

Step-by-step explanation:

If 17 inches is 1/3 if what he needs, then have 3 of 17 inches of rope which is

= 17 × 3= 51.. so it will be 3/3

Answer:

51 inches

Step-by-step explanation:

Total length of the rope possessed by Todd = 17 inches.

But what he has corresponds to [tex]\[\frac{1}{3}\][/tex]  of his actual requirement.

Let his total requirement be represented by x.

Then [tex]\[\frac{1}{3} * x = 17\][/tex]

Simplifying,

[tex]\[x = 17 * 3\][/tex]

[tex]\[x = 51\][/tex]

Hence the total length of the rope required by Todd is 51 inches which is 3 times what he has currently.

Answer:

n= -2

Step-by-step explanation:

Answer:

-8.34

Step-by-step explanation:

Divide -1.84 by 15.35 and you will get -8.342391304 and then round to whatever (is round to -8.34) and that’s your x value.

Answer:

135k

Step-by-step explanation:

9k*8k=72k

9k*7=63k

72k+63k=135k

Answer:

72k²+7

Step-by-step explanation:

Multiply 9k and 8k. After that, you will get 72k² because there are two k numbers. so you leave +7 and put that in the equation then you get 72k²+7.

The area of parallelogram is 108 square inches

Solution:

The formula for area of parallelogram is:

[tex]Area = base \times height[/tex]

From given,

[tex]Base = 1\frac{1}{2}\ feet = \frac{2 \times 1 + 1}{2} = \frac{3}{2}\ feet[/tex]

[tex]Height = 6\ inches[/tex]

Convert feet to inches

1 feet = 12 inches

[tex]\frac{3}{2}\ feet = \frac{3}{2} \times 12\ inches = 18\ inches[/tex]

Therefore, area of parallelogram is:

[tex]Area = 18 \times 6\\\\Area = 108[/tex]

Thus area of parallelogram is 108 square inches

Answer:

Therefore,

[tex]y=2x+6[/tex] and

[tex]6y=2x+9[/tex] are not Perpendicular.

Step-by-step explanation:

Given:

[tex]y=2x+6[/tex]         ............................Equation of line( 1 )

[tex]6y=2x+9\\y=\dfrac{1}{3}+\dfrac{3}{2}[/tex]     ............................Equation of line( 2 )

Solution:

So the Equations are written in

[tex]y=mx+b[/tex]

Where m is the slope of the line

On Comparing we get

[tex]Slope = m1 = 2[/tex]

[tex]Slope = m2 = \dfrac{1}{3}[/tex]

So for the lines to be Perpendicular.

Product of slopes = - 1

m1 × m2 = -1

So Product of slopes of the given lines are

[tex]m1\times m2=2\times \dfrac{1}{3}=\dfrac{2}{3}[/tex]

Which is not equal to -1

Therefore,

[tex]y=2x+6[/tex] and

[tex]6y=2x+9[/tex] are not Perpendicular.

Answer:

Step-by-step explanation:

9 * 44 =

9 (40 + 4) =

9(40) + 9(4) =

360 + 36 = 396

Final answer:

To mentally calculate 9 x 44, use the distributive property by multiplying 9 by 40 and 9 by 4, then adding the results to get 396.

Explanation:

The question asks how to mentally calculate 9 x 44 using the distributive property. To do this, you can break down the multiplication into simpler parts. First, use the distributive property to express 44 as the sum of 40 and 4. Multiply 9 by each part:

9 x 40 = 360

9 x 4 = 36

Then, add the two results together:

360 + 36 = 396

So, 9 x 44 equals 396.

Answer:

A

Step-by-step explanation:

A horizontal translation of - 3 means to subtract 3 from the original x- coordinate.

A vertical translation of - 3 means to subtract 3 from the original y- coordinate, thus

M(2, 2 ) → M'(2 - 3, 2 - 3 ) → M'(- 1, - 1 ) → A

Answer: d≈7.07

Step-by-step explanation:

l=4 w=5 h=3, then d≈7.07

[tex]d=\sqrt{l^{2}+w^{2} +h^{2} } =\sqrt{4^{2}+ 5^{2}+ 3^{2} } =7.07[/tex]

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

Aiko has -$5.50 after buying the candles.

To find out how much money Aiko has after buying candles, we need to calculate the total amount spent on the candles and subtract it from the initial $20.

Aiko initially had $20. She returned 2 candles for $4.75 each, so she got back 2 x $4.75 = $9.50.

Then, she bought 3 candles for $3.50 each, which amounts to 3 x $3.50 = $10.50.

Finally, she bought 1 candle for $5.00.

The total amount spent on candles is $4.75 x 2 + $3.50 x 3 + $5.00 = $9.50 + $10.50 + $5.00 = $25.50.

To calculate how much money Aiko has left, we subtract the total spent from the initial amount: $20 - $25.50 = $-5.50.

Therefore, Aiko owes $5.50 after buying the candles.

c = (x + 3)^2

Step-by-step explanation:

(6/2)^2 = (36/4)

           = 9

=x^2 + 6x + 9

= (x + 3)(x + 3)

c = (x + 3)^2

Answer:

Vgondola=lwh

                 =(41)(9.5)(5)

                 =1947.5 ft3

Step-by-step explanation:

plz give me brainliest