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matrenka [14]
3 years ago
14

Which point lies on a circle with a radius of 5 units and center at P(6, 1)?

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0
For a circle with radius 'r' ad center, (h,k)
the formula is

(x-h)²+(y-k)²=r²

(6,1)
r=5
(x-6)²+(y-1)²=5²
(x-6)²+(y-1)²=25
hmm
when x=6, then y=6
a point is (6,6)
also (6,-4)
also (1,1)
also (11,1)
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Nana76 [90]

Answer:

47

Step-by-step explanation:

sinice they are similar they have the same angles so 180-118-15=f

so f=47

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Brittany walked 8,910 feet in 45 minutes. She walked at a constant rate. At what rate did Brittany walk in feet per minute?
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bogdanovich [222]

Answer:

Rent in 10th year = $5345.90

Step-by-step explanation:

Rent of apartment during first year = $1800 per month

But growth in rent with 11.5% per year will be represented by the exponential function,

Rent in 't'th year = \text{Initial rent}(1+\frac{\text{Growth rate}}{100})^{\text{time}}

                          = 1800(1+\frac{11.5}{100})^t

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Therefore, rent during 10th year will be,

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3 0
3 years ago
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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

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