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2 years ago

Plzz look into the question in the attachements

Mathematics

1 answer:

iren2701 [21]2 years ago

8 0

Given : Diameter of the right circular cone ==> 8 cm

It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)

Given : Volume of the right circular cone ==> 48π cm³

We know that :

$\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}$

where : r is the radius of the circular cross-section.

h is the height of the right circular cone.

Substituting the respective values in the formula, we get :

$\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}$

$\mathsf{\implies 16 \times \dfrac{h}{3} = 48}$

$\mathsf{\implies \dfrac{h}{3} = 3}$

$\implies \boxed{\mathsf{h= 9 \ cm}}$

Answer : Height of the given right circular cone is 9 cm

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I need help I don't know how to do this

Trava [24]

Answer:

Median = 7

upper quartile = 10

lower quartile is 6

Step-by-step explanation:

The median is the middle line in the box

Median = 7

The upper quartile is the right line of the box

upper quartile = 10

The lower quartile is the left line of the box

lower quartile is 6

4 0

3 years ago

16^10 x 16^4 need the work

Alex787 [66]

Answer:

$16^{10}*16^{4} \\= 16^{14}$

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3 0

3 years ago

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 2/7 of

Sladkaya [172]

Answer:

3 : 4 : 7

Step-by-step explanation:

apple juice - 2/7 = 4/14

orange juice - 1/2 = 7/14

AJ + OJ = 11/14

this means that 3/14 of the punch is cranberry juice.

cranberry : apple : orange

3 : 4 : 7

8 0

2 years ago

Can anyone help me with this page i can’t find the answers

Dvinal [7]

1) f(x)=2x

when x=3 then f(x) =3×2=6

when x=4 then f(x)=4×2=8

2)At y=35(no. of mangoes),x corresponds to y=60(amount)

so$60, amount he need to spend!

3) f(x)= x+2

for x=1, f(x)=1+2=3

for x=2,f(x)=2+2=4

✌️:)

8 0

3 years ago

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x

BaLLatris [955]

Answer:

The area of the region is 25,351 $units^2$ .

Step-by-step explanation:

The Fundamental Theorem of Calculus: if $f$ is a continuous function on $[a,b]$ , then

$\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}$

where $F$ is an antiderivative of $f$ .

A function $F$ is an antiderivative of the function $f$ if

$F^{'}(x)=f(x)$

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function $x^5 + 8x^4 + 2x^2 + 5x + 15$ and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

$\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx$

$\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2$

3 0

3 years ago