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professor190 [17]
3 years ago
12

Patrick laid a pencil and a candle end-to-end. The pencil is 15.80 centimeters long, the candle is 0.303 yards long. There are 3

0.48 centimeters in a foot. How many inches long are the two items placed end-to-end? a. 0.48 in b. 16.10 in c. 17.13 in d. 43.51 in Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer: c. 17.13 in

Step-by-step explanation:

Given : Length of pencil = 15.80 cm

There are 30.48 centimeters in a foot.

i.e. \text{ 1 cm}=\dfrac{1}{30.48}\text{ foot}

i.e. Length of pencil  (in foot)= 15.80\times\dfrac{1}{30.48}

Since 1 foot = 12 inches

Then,  Length of pencil  (in inches)= 15.80\times\dfrac{1}{30.48}\times12

6.22047244094\approx6.22\text{ inches}             (2)

Length of Candle = 0.303 yards

∵ 1 yard = 3 feet

Then, Length of Candle ( in feet)=3\times0.303

1 foot = 12 inches

then, Length of Candle ( in inches)=3\times0.303\times12=10.908

\approx10.91\text{ inches}              (2)

If the two items placed end-to-end, the total length will be :-

6.22+1091=17.13\text{ inches}  [Add (1) and (2)]

Hence, the best answer is c. 17.13 in .

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3 years ago
. a) In a group of 75 students, 20 liked football only, 30 liked cricket only and 18 did not like any of two games? (i) How many
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i)50

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4 0
2 years ago
Help ASAP please!!!!!!!!!​​
Katena32 [7]

Answer:

Δ JKL is similar to Δ ABC ⇒ D

Step-by-step explanation:

Similar triangles have equal angles in measures

In ΔABC

∵ m∠A = 15°

∵ m∠B = 120

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠B + m∠C = 180°

→ Substitute the measures of ∠A and ∠B

∵ 15 + 120 + m∠C = 180

→ Add the like terms in the left side

∴ 135 + m∠C = 180

→ Subtract 135 from both sides

∴ 135 - 135 + m∠C = 180 - 135

∴ m∠C = 45°

The similar Δ to ΔABC must have the same measures of angles

If triangles ABC and JKL are similar, then

m∠A must equal m∠J

m∠B must equal m∠K

m∠C must equal m∠L

∵ m∠J = 15°

∴ m∠A = m∠J

∵ m∠L = 45°

∴ m∠C = m∠L

∵ m∠J + m∠K + m∠L = 180°

→ Substitute the measures of ∠J and ∠L

∵ 15 + m∠K + 45 = 180

→ Add the like terms in the left side

∴ 60 + m∠K = 180

→ Subtract 60 from both sides

∴ 60 - 60 + m∠K = 180 - 60

∴ m∠K = 120°

∴ m∠B = m∠K

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6 0
3 years ago
Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Expr
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Answer:

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school.

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b) This is the difference A − B.

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5 0
3 years ago
In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the
salantis [7]

THIS IS THE COMPLETE QUESTION BELOW;

In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

A. 0.10

B.0.50

C. 0.66

D. 0.06

Answer:

OPTION D is correct

d)0.06

the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06

Step-by-step explanation:

The probability that a baseball team goes to city playoffs is 0.30.

P(baseball team goes to city playoffs)=0.30

The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.

P(team goes to state playoffs given that the team goes to the city playoffs)=0.20

From our knowledge of set, we know that

P(A | B)= P(A ∩ C)/P(C)

where A= city playoffs

B= state playoffs

P(State play off | city play off)=0.20

P(State play off ∩ city play off)/P(city play off,)=0.20

P(State play off ∩ city play off)/0.30 =0.20

P(State play off ∩ city play off)= 0.30 × 0.20

= 0.06

Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06

7 0
3 years ago
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