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2 years ago

A rectangle has a length of 1.5abc and a width of 10abc find the area of the rectangle

Mathematics

1 answer:

Vikentia [17]2 years ago

5 0

Answer:

A = 15 a²b²c² square units

Step-by-step explanation:

Area of a rectangle = LW

A = (1.5abc)(10abc)

A = 15 a²b²c² square units

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Solve for X:-1 Plz help

elena55 [62]

Answer:

Lo siento, solo necesitaba los puntos

Step-by-step explanation:

Lo siento, solo necesitaba los puntos

Lo siento, solo necesitaba los puntosvv

Lo siento, solo necesitaba los puntos

Lo siento, solo necesitaba los puntosvvv

4 0

3 years ago

Read 2 more answers

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

What is the solution set for 2x+5y>-1 and 4x-3<-3?

bekas [8.4K]

PROBLEM ONE

•

Solving for x in 2x + 5y > -1.

•

Step 1 ) Subtract 5y from both sides.

2x + 5y > -1

2x + 5y - 5y > -1 - 5y

2x > -1 - 5y

Step 2 ) Divide both sides by 2.

2x > -1 - 5y

$\displaystyle\frac{2x}{2} > \displaystyle\frac{-1 - 5y}{2}$

$\displaystyle\ x > \frac{-1 - 5y}{2}$

So, the solution for x in 2x + 5y > -1 is...

$\displaystyle\ x > \frac{-1 - 5y}{2}$

•

Solving for y in 2x + 5y > -1.

•

Step 1 ) Subtract 2x from both sides.

2x + 5y > -1

2x - 2x + 5y > -1 - 2x

5y > -1 - 1x

Step 2 ) Divide both sides by 5.

5y > -1 - 1x

$\displaystyle\frac{5x}{5} > \frac{-1 -1x}{5}$

$\displaystyle\ x > \frac{-1 -1x}{5}$

So, the solution for y in 2x + 5y > -1 is...

$\displaystyle\ x > \frac{-1 -1x}{5}$

•

PROBLEM TWO

•

Solving for x in 4x - 3 < -3.

•

Step 1 ) Subtract 3 from both sides.

4x - 3 < -3

4x -3 - 3 < -3 - 3

4x < 0

Step 2 ) Divide both sides by x.

4x < 0

$\displaystyle\frac{4x}{4}$

x < 0

So, the solution for x in 4x - 3 < -3 is...

x < 0

•

- <em>Marlon Nunez</em>

7 0

3 years ago

Help me out here pleaseeeeeeeee

Vera_Pavlovna [14]

Answer:

1/10

Step-by-step explanation:

Since 5 people share 1/4 gallon, this can be converted into 1/4 times 1/5. This gives 1/20 for everbody. Sheila gives hers to Maria, which means Maria now has 1/20 plus 1/20, which is 2/20, which can be simplified to 1/10.

7 0

3 years ago

A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2cm.

Anika [276]

Answer:

560 cubes

Step-by-step explanation:

Volume of prism: lwh, 7*4*2.5, 70cm!

Volume of cubes: lwh, 0.5*0.5*0.5, 0.125cm!

70cm/0.125cm=560 cubes.

3 0

3 years ago

Read 2 more answers