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eduard
4 years ago
9

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?

Mathematics
1 answer:
Elina [12.6K]4 years ago
3 0
Since there are 36 inches in a yard you multiply 12 and 36. That gives you 432 characters per yard.
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A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and
yan [13]
The word inscribed means that the sphere is inside the cylinder and its diameter is equal to the height and diameter of the cylinder. The surface area of the sphere is equal to 
                            SA (sphere) = πd²
where d is the diameter.
That of the cylinder is,
                            SA (cylinder) = πd(h + d/2)
Since h is also equal to d
                            SA (cylinder) = πd(d + d/2) = 3πd²/2
Therefore, the surface area of the cylinder is approximately 1.5 times that of the sphere. 
8 0
3 years ago
Read 2 more answers
Darren purchased a bicycle for 25% of the original cost at Walmart. If the Original cost of the bicycles was $200, how much did
andreev551 [17]

i'm not sure if you mean 25% <em>off</em> or 25% <em>of</em> so i'll just do both

25% <em>OFF</em>: $150

25% <em>OF</em>: $50

8 0
3 years ago
Complete the following statement of congruence
alex41 [277]

Answer:

Option A. Triangle STR

Step-by-step explanation:

we know that

If two triangles are congruent, then the corresponding sides and the corresponding angles are congruent

In this problem

If the two triangles of the figure are congruent

then

the corresponding sides are

MN and RS

NO and ST

MO and RT

and the corresponding angles are

∠N≅∠S

∠O≅∠T

∠M≅∠R

therefore

NOM≅STR

5 0
3 years ago
Read 2 more answers
the cost of 24 roses at Farley's flowers including the $1.74 sales tax is $34.54. Based on this information wich statement is tr
VMariaS [17]
Uh......statement...?
5 0
4 years ago
If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?
Agata [3.3K]
<h3>Given</h3>

A geometric sequence such that ...

a_2=-2\quad\text{and}\quad a_5=16

<h3>Find</h3>

a_{14}

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192

7 0
3 years ago
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