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Butoxors [25]
3 years ago
8

Iliana’s gross pay is $2,130 per month. Her deductions total $270. She budgets for $1,000 in fixed expenses and $400 in variable

expenses. How much money will Iliana be able to save?
Mathematics
2 answers:
Alexandra [31]3 years ago
6 0
460, because 2,130 minus all her expenses is $460
Oksi-84 [34.3K]3 years ago
4 0
She will be able to save $460
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A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he
11Alexandr11 [23.1K]

Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh

Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)

S.A = 50π + 700π

S.A = 750π

Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;

Thus, Surface area = 750π - π(5)² = 750π - 25π = 725π

For the cone,

Height;h = 12mm

Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

Now,formula for surface area of cone is;

S.A = πr² + πrL

Where L is slant height.

We can use pythagoras theorem to get L.

So, L² = r² + h²

L = √r² + h²

L = √(5² + 12²)

L = √(25 + 144)

L = √169

L = 13

So, S.A of cone = π(5)² + (π×5×13)

S.A = 25π + 65π = 90π

Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.

So, S.A is now = 90π - π(5)²

= 90π - 25π = 65π

Thus,total surface area of the pencil = 725π + 65π = 790π

7 0
3 years ago
Read 2 more answers
I JUST NEED #13 please and thnx
emmainna [20.7K]

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3 years ago
LXISSUU<br> Simplify<br> -8-1+4.2<br> Enter your answer in the box
jekas [21]

Answer:

-4.8

Step-by-step explanation:

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3 years ago
Does (3/2)^2 equal 2
Viktor [21]

Answer:

no

Step-by-step explanation:

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