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3 years ago

45% of what number is 63

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

Answer:

140.

Step-by-step explanation:

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Pls help I’ll brainlest ASAP

Volgvan

Answer:

Step-by-step explanation:

5 0

2 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

4 years ago

Read 2 more answers

una fracion reducicion a su minima expresion en igual a 1/8 . si la suma de sus terminos es 72. hallar la diferencia entre ellos

Mandarinka [93]

La diferencia entre el denominador y el númerador de la fracción es:

64 - 8 = 56.

<h3>¿Como encontrar la fracción?</h3>

Tendremos una fracción de la forma:

$\frac{a}{b}$

Tal que:

$\frac{a}{b} = \frac{1}{8}$

$a + b = 72$

Eso es un sistema de ecuaciones

Primero, podemos reescribir la primer ecuación como:

$8a = b$

Ahora podemos reemplazar "b" en la segunda ecuación por "8a", así obtenemos:

$a + 8a = 72\\\\9a = 72\\\\a = 72/9 = 8$

Ahora podemos obtener el valor de b:

$b = 8a = 8*8 = 64$

La diferencia entre a y b es:

$b - a = 64 - 8 = 56$

Sí quieres aprender m'as sobre sistemas de ecuaciones:

brainly.com/question/13729904

#SPJ1

7 0

2 years ago

What is the slope of y=4x

zepelin [54]

Answer:

The slope is 4...

Step-by-step explanation:

y = mx + c

y = 4x

compare both..

4 0

3 years ago

Read 2 more answers

James had 42 dollars. He bought his sister a gift that costs x dollars. How much money does james have now, in terms of x

nata0808 [166]

Answer:

42-x = James' money now

Step-by-step explanation:

5 0

4 years ago