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Elenna [48]
3 years ago
11

Please answer problems 7 and 8 ASAP!

Mathematics
2 answers:
Lilit [14]3 years ago
6 0
We need to see the whole page+problem.

Dennis_Churaev [7]3 years ago
3 0
8. The answer to this is 9w but, can't see number 7 if u send a new picture I can tell you tho :)
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The figure below is a right rectangular prism with
svlad2 [7]

Answer:

The area of the base of the rectangular prism is:

  • <u>18 square centimeters</u>.

The height of the rectangular prism is:

  • <u>6 centimeters</u>.

The volume of the rectangular prism is:

  • <u>108 cubic centimeters</u>.

Step-by-step explanation:

To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:

  • Area of a rectangle = base * height.

Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:

  • Area of a rectangle = 9 cm * 2 cm
  • <u>Area of a rectangle = 18 cm^2 </u>

Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:

  • <u>Prism height = 6 cm </u>

Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:

  • Volume = area * height.
  • Volume = 18 cm^2 * 6 cm
  • <u>Volume = 108 cm^3</u>
6 0
3 years ago
Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively.
Tju [1.3M]
Hello : 
<span>the nth term of a geometric sequence is : 
Un = Up ×r^(n-p)    .   r is the common ratio 
for : p=5 and n= 2
U5 = U2 ×r^3
16 = -2 r^3
r^3 = -8
but : -8 = (-2)^3
so :  r = -2
Un = U2 × r^(n-2)
Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)

</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>
4 0
3 years ago
Read 2 more answers
The value of x in the expression<br> 2x/3 - 7 = 5 is
Andrej [43]

Answer:

The answer is X = 18

Step-by-step explanation:

2x/3 - 7 = 5

Multiply both sides if the equation by 3 : 2x - 21 = 15

Move the constant to the right hand side and change its sign : 2x = 15 + 21

Calculate 2x = 15 + 21

2x = 36

Divide both sides of the eqaution by 2 : 2x = 36

x = 18

Answer X = 18

3 0
3 years ago
Evaluate 8-m/n +m when m=8 and n=2
RUDIKE [14]
Substitute the answer: therefore, 8-8/2+8= 0/10 in fraction form, but as you feather simplify 0 divide by 10 you'll get the answer as 0.
3 0
4 years ago
Which of the following systems of inequalities has point D as a solution? Two linear functions f of x equals 3 times x plus 4 an
Pani-rosa [81]

Answer:

B) f(x) ≥ 3x + 4

g of x is less than or equal to negative one half times x minus 5

Step-by-step explanation:

From the above graph,  

If point B is the solution of the system of inequalities, then point B must satisfies both inequalities  

We can see from the graph that

Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).

So we can say,

Point b satisfies the inequalities

Therefore,  

The system is  

 f(x) ≥ (3x+4)

 g(x) ≤ (-1/2x -5)

Hopes this Helps :)

8 0
4 years ago
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