What does 9e plus 10 mean?

Please help with this geometry problem please

Sergeu [11.5K]

The slant height is 51 cm. The radius can be found from the Pythagorean theorem:
r^2 + (24 cm)^2 = (51 cm)^2
r^2 = (51^2 -24^2) cm^2 = 2025 cm^2
r = 45 cm

The area of the circular base is
A = π·r^2 = 2025π cm^2

The lateral area is
A = πrs . . . . . where s is the slant height
A = π·(45 cm)·(51 cm) = 2295π cm^2

Then the total area is
total area = base area + lateral area
= 2025π cm^2 + 2295π cm^2
= 4320π cm^2

7 0

3 years ago

Ratio of adults to children at a museum is usually 5:2. There are currently 35 adults at the museum. How many children do you ex

lorasvet [3.4K]

Answer:14 children are expected to be at the museum

Step-by-step explanation:

Let x represent the total number of adult and children in the museum.

Ratio of adults to children at a museum is usually 5:2. The total ratio would be the sum of the proportions of adults and children. It becomes

5 + 2 = 7

There are currently 35 adults at the museum. It means that

5/7 × x = 35

5x/7 = 35

5x = 7 × 35 = 245

x = 245/5 = 49

The total number of adults and children in the museum is 49

The number of children in the museum would be

49 - 35 = 14

7 0

2 years ago

There are two mystery numbers. The sum of 2 times the first number and 3 times the second number is -18. The sum of 3 times the

FrozenT [24]

Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

set up system of equations:

2x + 3y = -18

3x + 2y = -17

elimination method: multiply 1st equation by -2 and second by 3

-4x - 6y = 36

+

5x = -15

x = -3

find y: 2(-3) + 3y = -18

-6 + 3y = -18

3y = -12

y = -4

4 0

3 years ago

5. A survey of student pizza preferences showed that 43 students preferred cheese, 56 preferred sausage, 39 preferred pepperoni,

cestrela7 [59]

Answer:

P (Cheese) = 0.199, P (Sausage) = 0.259, P (Pepperoni) = 0.181,

P (Supreme) = 0.130, P (Another Kind) = 0.144

and P (Does not like any kind) = 0.088

Step-by-step explanation:

Given:

Number of students who prefer cheese = 43

Number of students who prefer sausage = 56

Number of students who prefer pepperoni = 39

Number of students who prefer supreme = 28

Number of students who prefer another kind = 31

Number of students who did not like any kind = 19

∴ The total number of students surveyed = $43+56+39+28+31+19=216$ The number of students who prefer pizza = $43+56+39+28+31=197$

The probability that a students likes pizza is,

$P(Student\ likes\ pizza)=\frac{No.\ of\ students\ who\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{197}{216} \\=0.912$

The probability that a students does not likes pizza is,

$P(Student\ does\ not\ likes\ pizza)=\frac{No.\ of\ students\ who\ does\ not\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{19}{216} \\=0.088$

The probability distribution of students who prefer different kinds of pizza is:

The probability that a student likes cheese:

$P(A\ Student\ prefers\ cheese)=\frac{No.\ of\ students\ who\ prefer\ cheese}{Total\ no.\ of\ students\ surveyed}$

$=\frac{43}{216}\\=0.199$

The probability that a student likes sausage:

$P(A\ Student\ prefers\ sausage)=\frac{No.\ of\ students\ who\ prefer\ sausage}{Total\ no.\ of\ students\ surveyed}$

$=\frac{56}{216}\\=0.259$

The probability that a student likes pepperoni:

$P(A\ Student\ prefers\ pepperoni)=\frac{No.\ of\ students\ who\ prefer\ pepperoni}{Total\ no.\ of\ students\ surveyed}$

$=\frac{39}{216}\\=0.181$

The probability that a student likes supreme:

$P(A\ Student\ prefers\ supreme)=\frac{No.\ of\ students\ who\ prefer\ supreme}{Total\ no.\ of\ students\ surveyed}$

$=\frac{28}{216}\\=0.130$

The probability that a student likes another kind:

$P(A\ Student\ prefers\ another\ kind)=\frac{No.\ of\ students\ who\ prefer\ another\ kind}{Total\ no.\ of\ students\ surveyed}$

$=\frac{31}{216}\\=0.144$

Thus, the probability distribution table is displayed below:

6 0

3 years ago

A + b = 4a<br><br> please help

LuckyWell [14K]

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4 0

3 years ago