Pls answer I give brainliest

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and

Sophie [7]

Volume of cone=(1/3)hpir^2

d/2=r
d=2
d/2=2/2=1=r
h=6

V=(1/3)6pi1^2
V=2pi in^3 is volume

ratio of 2:1

2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit

vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
4.188
round
4.2 in^3 of vanilla

3 0

3 years ago

Read 2 more answers

Find the scale 6in=10ft

Arlecino [84]

The scale faction is 20 to 1 hope that helps

7 0

3 years ago

Solve with cramer's rule x+2y+3z=11, 2x+y+2z=10, 3x+2y+z=9

nalin [4]

Answer:

x = 2 , y = 0 , z = 3

Step-by-step explanation:

Cramer's rule is a rule through which we can find the solution of linear equation.

we have the three linear equations as

x+2y+3z=11

2x+y+2z=10

3x+2y+z=9

AX=B

A: coefficient matrix

X= unknown vectors(x,y,z)

D = values of the linear equation (11 , 10 , 9)

now we find the determinant of the given linear equation

determinant of the matrix will be

A = $\left[\begin{array}{ccc}1&2&3\\2&1&2\\3&2&1\end{array}\right]$ = 1(1-4) - 2(2-6) + 3(4 - 3)

= 1(-3) - 2(-4) + 3(1)

= -3+8+3 = 8

also D $\neq 0$

so the determinant is Non zero we can apply Cramer's rule

we will be replacing the first column of the coefficient matrix A with the values of D

by replacing the first column we will get the value of the variable 'x'

Dx = $\left[\begin{array}{ccc}11&2&3\\10&1&2\\9&2&1\end{array}\right]$ = 11(1-4) -2(10-18) + 3(20-9) = -33+16+33 = 16

x = $\frac{Dx}{D}$ = $\frac{16}{8}$ = 2

similarly

Dy = $\left[\begin{array}{ccc}1&11&3\\2&10&2\\3&9&1\end{array}\right]$ = 1(10-18) -11(2-6) + 3(18 -30) = -8 +44 -36 = 0

y = $\frac{Dy}{D}$ = 0

Dz= $\left[\begin{array}{ccc}1&2&11\\2&1&10\\3&2&9\end{array}\right]$ = 1(9 - 20) -2(18 - 30) + 11(4 -3) = -11 +24 +11 = 24

z = $\frac{Dz}{D}$ = $\frac{24}{8} = 3$

so we have the solution as

x = 2 , y = 0 , z = 3

Therefore the solution for the given linear equations is (2,0,3).

3 0

2 years ago

Geometry Help Please!!! Picture shown below

Alika [10]

Answer:

It is given that ABCD is a parallelogram, so AB || DC by the difinition of parallelogram. So, <1 = <2 by the alternate interior angles theorem. It is also given that DC bisects <BDE, so <2 = <3  by the definition of angle bisector. Therefore, <1  = <3 by the transitive property of congruence.

3 0

2 years ago

Hugh has the choice between investing in a city of heflin bond at 6.45 percent or a surething bond at 10.40 percent. assuming th

netineya [11]

Surething Inc. must give an interest rate of 17.33 percent to generate a 10.40 percent after-tax return and make Hugh indifferent between investing in the two bonds.

To solve for the pretax rate of return, we can use this formula:

After-tax return = Pre-tax return x (1 – Marginal Tax Rate).

10.40% = Pre-tax return x (1 – Marginal Tax Rate);

Pre-tax return = 10.40% / (1 – Marginal Tax Rate) = 17.33%

3 0

3 years ago