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Marizza181 [45]
3 years ago
6

In a right triangle ABC,

Mathematics
1 answer:
choli [55]3 years ago
7 0
In a left triangle DEF
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A box witxh a height (x+5) cm has a square base with side x com. A second box with height (x+2) com has a square base with side
Eva8 [605]

Answer:

x=5.37 cm

Step-by-step explanation:

we know that

The volume of the box is

V=Bh

where

B is the area of the base of the box

h is the height of the box

<em>Box 1</em>

we have that

The area of the base is

B=x^2\ cm^2

h=(x+5)\ cm

The volume of the Box 1

is equal to

V_1=x^2(x+5)\ cm^3

V_1=(x^3+5x^2)\ cm^3

<em>Box 2</em>

we have that

The area of the base is

B=(x+1)^2\ cm^2

h=(x+2)\ cm

The volume of the Box 2

is equal to

V_2=[(x+1)^2(x+2)]\ cm^3

V_2=[(x^2+2x+1)(x+2)]\ cm^3

V_2=(x^3+2x^2+x+2x^2+4x+2)\ cm^3

V_2=(x^3+4x^2+5x+2)\ cm^3

Equate the equation of Volume 1 to the equation of Volume 2

(x^3+5x^2)=(x^3+4x^2+5x+2)

(5x^2)=(4x^2+5x+2)

5x^2-4x^2-5x-2=0

x^2-5x-2=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=5.37 cm

see the attached figure

8 0
4 years ago
If each Cube has edges 4 inch long what is the volume of the prism outlined in blue​
melamori03 [73]

Answer:

3840 in^3

volume = length x width x height

4 0
3 years ago
Can anyone help please?
Korolek [52]

Answer:

6

Step-by-step explanation:

6(2) = 12

12 + 9 = 21

21/3 = 7

7 - 1 = 6 <--- Number that's she's thinking

I tested every number!

8 0
3 years ago
Read 2 more answers
Which system of equations models this problem? (Image attached)
Leno4ka [110]

Answer:

Your answer would be x+y=531 and y=2x

Step-by-step explanation:

We know that Nancy bought 531 shirts and that some are long sleeved and some are short sleeved. Since x represents the long sleeved shirts and y represents the short sleeved shirts, x+y=531. We also know that there are twice as many short sleeved shirts as long sleeved shirts. So, y=2x.

8 0
3 years ago
41) 124 students went on a field trip. Three
MrRissso [65]

Answer:

40 students on each bus

Step-by-step explanation:

If you subtract the 4 students that traveled by car from the total 124 students, you are left with 120 students riding the 3 buses. Then, you would divide 120 by 3. (120 students divided by 3 buses.)  120/3 = 40

7 0
4 years ago
Read 2 more answers
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