Awodden doll of height 8cm is made of with a pyramid of slant height 5cm on its upper part and a prism of base 6×6 on its lower
1 answer:
Answer:
Total cost of painting the pyramid including the base = 19,200
Total cost of painting the pyramid excluding the base = 12,000
Step-by-step explanation:
Data provided in the question:
Height of the doll = 8 cm
Slant height of the pyramid, s = 5 cm
Base dimensions = 6 × 6
Cost of painting = 200 per cm²
Now,
Area of the base = 6 × 6 = 36 cm²
Area of the Pyramid = Area of the base +
here,
P is the perimeter of the base = 4 × side
= 4 × 6
= 24 cm
Thus,
Area of the Pyramid = 36 +
or
Area of the Pyramid = 36 + 60 = 96 cm²
Total cost of painting the pyramid including the base = 96 cm² × 200
= 19,200
Total cost of painting the pyramid excluding the base = 60 cm² × 200
= 12,000
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Remark
Secants going through a circle form a ratio that's the same for all secants going through the circle and beginning at 1 point. See the diagram below for the ratio. Follow the Line designations carefully. This comes up many times.
General Ratio is (segment from the external point to the the first intersect point of the circumference divided by the distance from the external point to the second intercept point on the circumference).
General Ratio
Put in terms of the diagram the general ratio is (OA / OB)
Equation
OA/OB = OC/OD
Substitute and Solve
9/(9 + 11) = 10/(10 + x)
9/20 = 10/(10 + x) Notice that you can't combine the right side. Cross Multiply
9*(10 + x) = 10 * 20 Remove the brackets on the left. Combine the right factors.
90 + 9x = 200 Subtract 90 from both sides.
9x = 200 - 90
9x = 110 Divide by 9
110 / 9 = 12.22
Secants going through a circle form a ratio that's the same for all secants going through the circle and beginning at 1 point. See the diagram below for the ratio. Follow the Line designations carefully. This comes up many times.
General Ratio is (segment from the external point to the the first intersect point of the circumference divided by the distance from the external point to the second intercept point on the circumference).
General Ratio
Put in terms of the diagram the general ratio is (OA / OB)
Equation
OA/OB = OC/OD
Substitute and Solve
9/(9 + 11) = 10/(10 + x)
9/20 = 10/(10 + x) Notice that you can't combine the right side. Cross Multiply
9*(10 + x) = 10 * 20 Remove the brackets on the left. Combine the right factors.
90 + 9x = 200 Subtract 90 from both sides.
9x = 200 - 90
9x = 110 Divide by 9
110 / 9 = 12.22
Given that Volume of triangular prism = 216 cubic centimetre
Given that Height of the pencil = 12 centimetre
Now we have to find the area of the base of the prism means find the area of triangular part.
Volume of triangular prism is given by formula:
Volume of triangular prism = (Area of base) x (Height of the prism)
now plug the given values
216= (Area of the base) x 12
Area of the base
18= Area of the base
Hence final answer is 18 square centimetres.
Answer:
Step-by-step explanation:
<u>Scientific notation</u>
where:
is any positive or negative <u>whole number</u>.
To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.
The number of times you have moved the decimal point is .
- If the decimal point has moved to the <u>left</u>,
- If the decimal point has moved to the <u>right</u>,
To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.
To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.
Learn more about scientific notation here: