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3 years ago

The radius of the base of a sugar cone is 1.5 inches and the cone is 8 inches tall.

Mathematics

1 answer:

g100num [7]3 years ago

3 0

Answer:

about 18.85 cubic inches of ice cream can fit inside the cone

Step-by-step explanation:

To understand this, you will need to know the formula for a cone's volume which is

πr^2 times h/3

h being the height of the cone

to clarify the equation is pi (3.14) times the radius squared (which means you put it to the power of 2) and you multiply it by the height divided by 3.

Step by step:

π(1.5)^2 times 8/3

put it in a calculator and solve

round according to the problem

hope it helps

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Solve the following system of equations:

Akimi4 [234]

It would have no solutions that's your answer.

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3 years ago

Lake has a total of $10,000 to invest in two accounts. One account earns 1% simple interest, and the other earns 10% simple inte

Elza [17]

Answer:

$8000 at 1%
$2000 at 10%

Step-by-step explanation:

It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.

<h3>setup</h3>

Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...

0.10x +0.01(10000 -x) = 280

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Simplifying gives ...

0.09x +100 = 280

0.09x = 180 . . . . . . . subtract 100

x = 2000 . . . . . . divide by 0.09

10000 -x = 8000 . . . . amount invested at 1%

$8000 should be invested in the 1% account

$2000 should be invested in the 10% account

5 0

2 years ago

Quadrilateral ABCD has vertices A(1,0) B(5,0) C (7,2) D(3,2). Use slope to prove that ABCD is a parallelogram.

Galina-37 [17]

Answer:

$AD \parallel BC$

$AB \parallel CD$

Step-by-step explanation:

The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).

The slope of side AB is

$M_{AB}=\frac{0-0}{5-1} =\frac{0}{4}=0$

The slope of side BC is

$M_{BC}=\frac{2-0}{7-5} =\frac{2}{2}=1$

The slope of side CD is

$M_{CD}=\frac{2-2}{3-7} =\frac{0}{-4}=0$

The slope of AD is

$M_{AD}=\frac{2-0}{3-1} =\frac{2}{2}=1$

$AD \parallel BC$

$AB \parallel CD$

We see that the opposite sides of the quadrilateral ABCD are equal.

Hence the quadrilateral is a parallelogram

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3 years ago

Angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4

kvasek [131]

9514 1404 393

Answer:

∠4 = 45°

Step-by-step explanation:

Angles 1, 2, and 4 are all congruent.

∠4 = ∠2

x +30 = 2x +15

15 = x . . . . . . . . . . . . . subtract x+15

x + 30 = 45 = ∠4

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3 years ago

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