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sladkih [1.3K]
2 years ago
14

Plz help me solving this question ​

Mathematics
2 answers:
Debora [2.8K]2 years ago
8 0

Step-by-step explanation:

Q5:Find the length of each side of the cube whose Total surface area are given below:

(B)2400cm^2

Solution:

T.S.A= 6a^2 [ we have to find a]

2400=6a^2

2400/6=a^2

400=a^2

a=squareroot of 400

=20

So, 20cm is the length of a cube.

ankoles [38]2 years ago
4 0

Answer:

Step-by-step explanation:

3) Surface area of cube = 6a² where a is side of the cube.

a)  a = 6 cm

Surface area of cube = 6 * 6*6 = 216 cm²

b) a = 4.5 cm

Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²

4)  Area of cuboid = A = 2(lb + bh + hl)

a) l = 10 cm ; h = 6 cm  ; A = 376 cm²

  A = 376

2(lb + bh + hl) = 376

2(10b + 6b + 60) = 376

2*( 16b + 60) = 376

 2*16b + 2*60 = 376

     32b + 120 = 376

        32b  = 376 - 120

          32b = 256

             b = 256 / 32

b = 8 cm

5) Surface area  of cube = 150 cm²

6a² = 150

Divide both sides by 6

a² = 150/6

a² = 25 = 5*5

a = 5 cm

6)  l = 15 cm ; b = 12 cm ; h = 10cm

Lidless. so area of top portion is not included

Surface area of lidless cuboid = 2(hb + hl) + lb

                                                  = 2*(10*12 + 10*15) + (15*12)

                                                  = 2*(120 + 150) + 180

                                                  = 2* 270 + 180

                                                  = 540 + 180

                                                   = 720 cm²

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Perimeter =the length of border of a shape .....if its an equilateral triangle and one side is 32 then. Perimeter is three times the side.ie. 3x32=96cm
5 0
2 years ago
Hi Plz help me with this question
inessss [21]
Answer: 4,-6
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3 0
3 years ago
A dog trainer has 104 ft of fencing that will be use to create a rectangular work area for dogs. If the trainer wants to enclose
Andrews [41]

Answer:

The dimensions of the work area are 16 ft by 36 ft

Step-by-step explanation:

Let

x ----> the length of the work area in feet

y-----> the width of the work area in feet

we know that

The perimeter of the work area is equal to

104=2(x+y)

simplify

52=(x+y)

y=52-x ----> equation A

The area of the work area is equal to

576=xy ---> equation B

substitute equation A in equation B

576=x(52-x)

576=52x-x^2

x^2-52x+576=0

solve the quadratic equation by graphing

using a graphing tool

The solutions are

x=16 ft, y=36 ft

or

x=36 ft, y=16 ft

see the attached figure

therefore

The dimensions of the work area are 16 ft by 36 ft

6 0
3 years ago
A fair, twenty-faced die has $19$ of its faces numbered from $1$ through $19$ and has one blank face. another fair, twenty-faced
lawyer [7]
Represent 24 as a sum of two numbers, first number from first die and second number from second die.
24=19+5=18+6=17+7=16+8=14+10=13+11=12+12=11+13=10+14=9+15=8+16=7+17=6+18=5+19=4+20 (the sums 15+9 and 20+4 are absent, because there aren't numbers: 20 on the first die and number 9 on the second die). Totally, you receive 15 different representations of 24.
<span>The probability that the sum of the two numbers facing up will be 24 is
</span><span>
</span><span>P= \frac{15}{20\cdot 20} = \frac{3}{80} (here 20\cdot 20 means that you have 20 possibilities to roll first number or blank face on the first die and 20 possibilities to roll number or blank face on the second die).
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8 0
3 years ago
Pls help meee!!!!!!!!!<br> Pls show your work pls and thank u
nikdorinn [45]

Answer: x = 40

Step-by-step explanation:

these two angles are vertical angles, they will equal each other

therefore, move numbers and variables to the opposite sides of the = sign to isolate the X

3x-10 = 2x + 30

   +10        +10           move the -10 by doing opposite

_____________

3x = 2x + 40

-2x   -2x                    move -2x by doing opposite

____________

x = 40

you can check your work by substituting 40 in place of x

3(40) - 10 = 2(40) +30

120-10 = 80 + 30

110 = 110

answer is correct

8 0
2 years ago
Read 2 more answers
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