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3 years ago

Round the answer to the nearest cent. 5% tax on $20 is $

1 answer:

4 0

5% tax on 20 dollars.
First let's convert 5% to decimal
=> 5% / 100 = .05
Next is to simply multiple 0.05 to 20 dollars
=> 20 * .05 = 1 dollar.
Thus. the 5% of 20 dollars is 1 dollar.

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Given the area of circular base and the area of curved surface of the cone are 98.56 cm² and 264 cm² respectively. Find the heig

____ [38]

Answer: height = 13.9 cm

Step-by-step explanation:

The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2

Base area = πr^2

Substitutes the value into the formula

98.56 = 22/7 × r^2

Cross multiply

689.92 = 22r^2

r^2 = 689.92/22

r = sqrt ( 31.36 )

r = 5.6 cm

Also, the curved surface area of a cone is πrL

Where the given value is 264 cm^2

Substitutes the value into the formula

264 = 22/7 × 5.6 × L

Where L = slant height

Cross multiply

123.2L = 1848

L = 1848 /123.2

L = 15 cm.

Using pythagorean theorem to find the height H of the cone.

H^2 = L^2 - r^2

H^2 = 15^2 - 5.6^2

H = sqrt( 193.64 )

H = 13.9 cm

5 0

3 years ago

Caitlin says that AC is the longest segment of fencing

sdas [7]

Whers the rest of the problem

7 0

4 years ago

In the figure, AB | CD and<br>mZ1 = 120°<br>What is mZ5<br>

Stells [14]

Answer:

Step-by-step explanation:

If AB is parallel to CD and there is a transversal cutting through both (as there is, although it is not named here), then by the definition of corresponding angles, angles 1 and 5 are corresponding and are therefore, congruent. If angle 1 measures 120 then so does angle 5. Learn these...they're very important and are prevalent in triangle stuff in geometry!!!

7 0

3 years ago

In a particular class, exams are worth 50% of the overall grade, quizzes are worth 25% of the overall grade, homework is worth 2

k0ka [10]

Answer:

His overall grade in the course was 0.81985 = 81.985%.

Step-by-step explanation:

The student's overall grade is his grade in each part of the class(exams, quizzes, homework, class participation) multiplied by the weight of the part.

Exams are worth 50% of the overral grade.

He earned an average score of 80.2% on the exams.

Quizzes are worth 25% of the overall grade.

He earned an average of 77.3% on the quizzes.

Homework is worth 20% of the overall grade

He earned an average of 87.8% on the homework assignments

Class participation is worth 5% of the overall grade

He earned an average of 100.0% on class participation.

What is this student’s overall grade in the course?

0.5*0.802 + 0.25*0.773 + 0.2*0.878 + 0.05*1 = 0.81985

His overall grade in the course was 0.81985 = 81.985%.

3 0

3 years ago

The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest p

12345 [234]

Answer:

it it went down 16%

Step-by-step explanation:

if you calculate it, 16 out of 19 points is 84%. this means that it went down 16%.

8 0

2 years ago

Read 2 more answers