Please help me wit dis part #2!!!

Mathematics

1 answer:

kow [346]3 years ago

6 0

A) The relationship between the amount of hours spent studying and the test scores increase with time in a positive direction showing a positive correlation.

B) Y=8x+40

Y=8(3) +40

Y=24+40

Y= 64

C) The 40 stands for the initial score the student can get without any studying

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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

Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number

professor190 [17]

Number of red cars = x
Number of white cars = y

x + y = 75
y + 3 = 2x

x + y = 75
y = 75 - x

(75 - x) + 3 = 2x
78 = 3x
26 = x

y + 3 = 2(26)
y + 3 = 52
y = 49

There are 49 white cars.

8 0

3 years ago

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PLEASE HELP ILL MARK YOU THE BRAINLIEST ASAP!!

Ratling [72]

Answer:

second 1 is right

Step-by-step explanation:

it is righttttt

4 0

2 years ago

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