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Ilya [14]
2 years ago
6

(7/2 - 1/3) x (-2) ^2 + 1/2

Mathematics
1 answer:
bagirrra123 [75]2 years ago
3 0

Step-by-step explanation:

please mark me as brainlest

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base​
wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

<u>According to question</u>

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 =  2 ×(l × b + b × h + h × l)

Or,  (l × b + b × h + h × l) = \dfrac{95}{2}          ....1

<u>Similarly</u>

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = \dfrac{63}{2}              ......2

Putting value of eq 2 into eq 1

so,  (l × b +  \dfrac{63}{2} ) = \dfrac{95}{2}    

Or, l × b = \dfrac{95}{2} - \dfrac{63}{2}    

Or,  l × b = \dfrac{95 - 63}{2}

i.e l × b = \dfrac{32}{2}

so, l × b = 16

<u>Now, Again</u>

∵The Area of the base = ( length × breadth ) cm²

So, z =  l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0
3 years ago
Could Someone PLEASE help me with this it is stumping me.
Bess [88]

9514 1404 393

Answer:

  G  45

Step-by-step explanation:

If Z is the circumcenter, it is equidistant from the vertices T, U, V. That is, ΔZUV is an isosceles triangle and Y is the midpoint of UV.

If Y is the midpoint of UV, then UY = VY = 22.5, and UV = UY +VY = 45.

The length of UV is 45.

4 0
2 years ago
Simplify the expression completely. 7b+3(4b−2)+6÷3
Karo-lina-s [1.5K]

Answer:

19b-4

Step-by-step explanation:

7b+3(4b-2)+6÷3

Bracket comes first so we distribute 3 over the terms in the bracket

= 7b + 12b -6 +6 ÷ 3

First we solve division

= 7b + 12b -6 +6 ÷ 3

= 7b + 12b -6 +2

= (7b+12b)+(-6+2)

= 19b -4

This can't be simplified further as it can't be solved anymore

4 0
3 years ago
Read 2 more answers
Find the value of each variable. Write an<br> equation then solve showing ALL the work<br> A2x+10°
AveGali [126]

Answer:

x = 25

Step-by-step explanation:

The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.

This is an equilateral triangle. So all 3 angles are equal.

We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:

180/3 = 60

The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

2x+10=60\\2x=60-10\\2x=50\\x=\frac{50}{2}\\x=25

The value of x is 25

4 0
3 years ago
PLS HELP ILL GIVE BRAINLY AND 30 PTS
kvv77 [185]

Answer:

C. These lines are perpendicular

Step-by-step explanation:

8 0
3 years ago
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