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3 years ago

What is the surface area of the box? use your answer to problem 2 to write an equation

Mathematics

1 answer:

sammy [17]3 years ago

8 0

Answer:

S=2lw+2lh+2wh

Step-by-step explanation:

If we consider the structure of a box with length l, width w, and height h, we may note that it is formed from six rectangular faces. The bottom and top faces are rectangles with sides of length l and w. Two of the side faces have side lengths l and h. And the remaining two side faces have side lengths w and h.

As the area of a rectangle is the product of its side lengths, we can put this together to get the surface area S of the box as

S=2lw+2lh+2wh

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A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters. what is the volume of the cone??

wlad13 [49]

Cone Volume = (π • r² • h) ÷ 3


Cone Volume = (π • (5.2)² • 8.4) ÷ 3

Cone Volume = (3.14159 * 27.04 * 8.4) / 3 

Cone Volume = 237.85606208

3 0

3 years ago

Two numbers have difference of 0.7 and a sum of 1. What are the numbers?

algol [13]

We can solve this by setting up 2 equations. We can use any letters like. For now, I'll use x and y.
So now we know that    x - y = 0.7   and    x + y = 1.
Now we can eliminate one of the letters by adding or subtracting one equation from the other. I am going to eliminate y by adding the two together (the y and the -y cancel).
This gives us   2x = 1.7,    and so x = 1.7 ÷ 2 = 0.85
Finally, we can substitute x for 0.85 back into one of the original equations to figure out what y equals. I'm going to use   x + y = 1.
So now we have   0.85 + y = 1,    so y = 1 - 0.85 = 0.15

The numbers, therefore, are 0.85 and 0.15 (you can check by using the other equation).

Hope this helps!

4 0

3 years ago

Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi

Eva8 [605]

Answer:

See explanation

$2x^2+5x+3=(x+1)(2x+3)$

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

$2x^2+5x+3$

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

$2\cdot 3=6$

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

$6=1\cdot 6\\ \\ \bf{6=2\cdot 3}$

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

$2+3=5$

6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:

$2x^2+5x+3=2x^2+2x+3x+3$

7. Now that the problem is written with four terms, you can factor by grouping:

$2x^2 +2x+3x+3=(2x^2+2x)+(3x+3)=2x(x+1)+3(x+1)=(x+1)(2x+3)$

6 0

3 years ago

(6+3)4 I don't understand what it means I really need some help

Over [174]

Answer:

Step-by-step explanation:

Hullo :D

If you're having trouble understanding, you might not understand the Order of Operations.

P - Parenthesis. Solve what's inside the Parenthesis first

E - Exponents. Solve for Exponents second.

M - Multiply. Multiply numbers third. (left - to - right with division, too)

D - Divide. Divide fourth. It is interchangeable with multiplication, as well.

A - Addition. Add fifth.

S - Subtract sixth. It is interchangeable with Addition, as well.

With that in mind, all we need to do is identify these types in the equation:

(6+3)4

We see parenthesis. We will solve them first according to the Order of Operations:

6 + 3 = 9.

(9)4

We see multiplication. We solve them next according to the Order of Operations:

9 × 4 = 36.

Thus, the final answer is $\boxed{36}$ .

Hope this helps!

4 0

3 years ago

Which equations represent two vertical asymptotes of the function y = 3 cot(4/3^x)?

Maurinko [17]

D ) x = 0 and x = 3 π / 4

.............................................

7 0

3 years ago