Anyone know the answer?

2. The ( + 3)( – 3) is a factored form of equation ______. A. 2 – 3 = 0 B. 2 2 = 9 C. 2 – 9 = 0 D. 2 + 32 = 0

Yuliya22 [10]

Step-by-step explanation:

22=9

2-9=0

2+32=0

7 0

3 years ago

Solve the inequality

guajiro [1.7K]

Answer:

c > 9

Step-by-step explanation:

$\dfrac{2c}{3}+1 > 7$

Subtract 1 from both sides:

$\implies \dfrac{2c}{3} > 6$

Multiply both sides by 3:

$\implies 2c > 18$

Divide both sides by 2:

$\implies c > 9$

7 0

3 years ago

Read 2 more answers

Find the surface area of the composite figure. SA = [ ? ] cm^2

Zolol [24]

Answer:

SA = 436 $cm^{2}$

Step-by-step explanation:

Hi Allenwarren! I noticed that you were having a lot of trouble with surface area through a friend who answered one of your questions, so I wanted to see if I could try to help you out with this topic! I'll try to explain this as best as I can, and hopefully, your confusion with the topic of surface area will be cleared. However, if you still have questions after this, please comment, and I'll be more than happy to help :D

Okay, so first of all, we need to know what exactly surface area means:

Surface area is the measurement of all of the outside area of a shape/composite figure (which is a figure made up of more than one simple shape). It's like making a custom wrap for it. Don't forget to count the bottom too!

There will be six faces, like a die. Attached below, I have drawn all 6 faces and labeled them with their measurements. Please refer to these as we walk through the steps.

Before we start, I want to quickly address the entire reason why the measurements for the top and bottom are different. We see that the width of the top of the green wedge and the width of the bottom of it changes from 9 cm to 6 cm. This is because the 9 cm is actually the length of a diagonal cut of the wedge if it was a rectangular prism, so it's longer than the actual width.

Okay! So, since I've already written down the measurements, let's calculate the area of the shapes shown on each face and add them:

--------------------------------------------------------------------------------------------------------------

Yellow:

8 × 6 = 48 $cm^{2}$

Green:

9 × 6 = 54 $cm^{2}$

Top Total Surface Area:

48 + 54 = 102 $cm^{2}$

--------------------------------------------------------

<h2>BOTTOM Face Area:</h2>

Yellow:

8 × 6 = 48 $cm^{2}$

Green:

6 × 6 = 36 $cm^{2}$

Bottom Total Surface Area:

48 + 36 = 84 $cm^{2}$

--------------------------------------------------------

<h2>FRONT Face Area:</h2>

Yellow:

8 × 7 = 56 $cm^{2}$

Green:

(area of a triangle is $\frac{bh}{2}$ b=6 and h=7. Remember that the 9 is not the height.)

7 × 6 = 42 $cm^{2}$

↓

42 ÷ 2 = 21 $cm^{2}$

Front Total Surface Area:

56 + 21 = 77  $cm^{2}$

--------------------------------------------------------

As you can see from the pictures, the front and back faces have the same area, so we'll just double this calculation once we add to get the surface area.

--------------------------------------------------------

Yellow:

6 × 7 = 42 $cm^{2}$

Left Face Total Surface Area:

Only the yellow portion is shown on the left face, so the total for the left face will be 42 $cm^{2}$

--------------------------------------------------------

<h2>RIGHT FACE Face Area:</h2>

Green:

6 × 9 = 54 $cm^{2}$

Right Face Total Surface Area:

Only the green portion is shown on the right face, so the total for the right face will be 54 $cm^{2}$

--------------------------------------------------------------------------------------------------------------

Time for the grand total of all 6 faces to find the surface area of the entire figure:

Top - 102

Bottom - 84

Front - 77

Back - 77

Left Face - 42

Right Face - 54

↓

102 + 84 + 77 + 77 + 42 + 54 = 436 $cm^{2}$

--------------------------------------------------------------------------------------------------------------

That's all! If there are any inconsistencies in my answer or I've made a mistake, please let me know. Again, feel free to comment if you need any clarification! I hope this helps :)

7 0

3 years ago

a sandbox must be filled with sand. the sandbox has a depth of 2ft and a diameter of 14 ft. how much sand to fill the sandbox

juin [17]

The formula for volume of a sphere is πr²h. The diameter is 14 ft, and the radius is 1/2of the diameter, so the radius is 7. The depth is the height, which is h. Now, substitute the known values into the expression:

π*7²*2

49π*2

98π is the exact amount of sand needed to fill the sandbox, and the approximate value is 307.87608.

4 0

3 years ago

What is the prime factorization of 45

Juliette [100K]

Your prime factorization 5•3•3

8 0

3 years ago