All categories

2 years ago

The heights of two similar parallelograms are 16 inches and 20 inches. Their

Mathematics

1 answer:

Fittoniya [83]2 years ago

3 0

Answer: $x=\dfrac{25}{21}$

Step-by-step explanation:

Area of parallelogram = Base x height

If two parallelograms are similar, then their corresponding sides are proportional.

That means, $\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}$

$\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}$

Hence, $x=\dfrac{25}{21}$

You might be interested in

What does 45 - 4x equal

xxTIMURxx [149]

Let y = 0 to find the x-intercept(s).

0 = 45 − 4x

*Then subtract 45 from both sides*
-45 = -4x

*Next, DIVIDE both sides by -4*

-45
—— = x
-4

*NEXT, realize that TWO NEGATIVES MAKE A POSITIVE *

45. 4
——— = x {FLIP} x=——-
4. 45.

y-Intercept

Let x = 0 to find the y-intercept(s).

y = 45 −4(0)

NEXT, SIMPLIFY:

y=45

7 0

3 years ago

Zach has 3/4 hour to play video games. it takes him 1/12 hour to set the system. each round of his

Svetllana [295]

The complete question is

Zach has 3/4 hour to play video games. it takes him 1/12 hour to set up the system. Each round of his favorite game takes 1/6 hour. How many rounds can he play

we know that

1) Zach has $3/4$ hour to play video games

Convert to minutes

$1\ hour=60\ minutes$

$(3/4)*60=45\ minutes$

2) It takes him $1/12$ hour to set up the system

Convert to minutes

$(1/12)*60=5\ minutes$

3) Find time available to play video games

$45\ minutes-5\ minutes=40\ minutes$

4) Each round of his favorite game takes $1/6$ hour

Convert to minutes

$(1/6)*60=10\ minutes$

5) Divide the time available to play video games by the time each round of his favorite game

$40/10=4\ round$

therefore

the answer is

$4\ round$

5 0

2 years ago

Read 2 more answers

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

According to question

∵ 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

Similarly

∵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

Now, Again

∵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

If a store had 330 video games, and 47% of the games were for Xbox, and 53% were for ps4, then how many xbox and ps4 games are i

Bingel [31]

Answer:

The number of games for Xbox is about 155

The number of games for PS4 is about 175

Step-by-step explanation:

Let us find the numbers of games for Xbox and for PS4 game

∵ There are 330 video games in the store

∵ 47% of them were for Xbox

- Multiply 47% by 330

∴ The number of games for Xbox = 47% × 330

∵ 47% = $\frac{47}{100}$

∴ The number of games for Xbox = $\frac{47}{100}$ × 330

∴ The number of games for Xbox = 155. 1

∴ The number of games for Xbox ≅ 155

∵ 53% of them were for PS4

- Multiply 53% by 330

∴ The number of games for PS4 = 53% × 330

∵ 53% = $\frac{53}{100}$

∴ The number of games for PS4 = $\frac{53}{100}$ × 330

∴ The number of games for PS4 = 174.9

∴ The number of games for PS4 ≅ 175

4 0

3 years ago

Sketch, mark and label the following (GEOMETRY)

nordsb [41]

Answer: See the pictures

Step-by-step explanation:

Hope I helped!

Sorry it took so long btw

3 0

3 years ago