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3 years ago

Which of the following numbers is an integer 1.33333..., 5.2, 2/3,-3

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

Integers are whole numbers so the answer is -3

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Find the surface area of the following figure.

fgiga [73]

Answer:

$\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.$

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

$\qquad\boxed{\sf Area_{(square)}= side^2}$

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}$

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

$\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}$

$\rule{200}2$

Hence the TSA of cuboid in terms of lenght and breadth is :-

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}$

6 0

2 years ago

What is the x in 4x-5=8

ale4655 [162]

Answer:

x= 3.25

Step-by-step explanation:

4x-5=8

1. Take the -5 to the other side as a plus so now your question is

4x=13

2. to get the x by its self divide both sides by 4.

13 divided by 4 is 3.25

therefore x=3.25

8 0

3 years ago

Beth is selling tickets for a dinner at her school.

iren [92.7K]

Answer:

Step-by-step explanation:

check each child answer and multiply by 4.50

check each adult answer and multiply by 6.00

add both answers up

and see which one it is

its not A, B, or C

5 0

3 years ago

Read 2 more answers

2x - 7y = 13 3x + y = 8

Rufina [12.5K]

A) 2x - 7y = 13
B) 3x + y = 8
Multiplying equation B by 7
B) 21x + 7y = 56 then adding it to A
A) 2x - 7y = 13
23x = 69
x = 3
y = -1

6 0

3 years ago

Solve the quadratic equation below x2−25=0

WARRIOR [948]

X= 12.5, this is because you need to add 25 to the other side of the equation to make 2x = 25 and then divide both sides by 2 to get x=12.5

4 0

2 years ago