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algol13
3 years ago
13

An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to help a

nswer the question.
Mathematics
2 answers:
rewona [7]3 years ago
6 0

Answer:

The length of the insect in decimeters is: 0.035 decimeters

Step-by-step explanation:

The metric table help us to know:

1 decimeter =100 millimeters

To answer the question we need to know how many decimeters are 3.5 millimeters, so:

3.5 millimeters*\frac{1 decimeter}{100 millimeters}= 0.035 decimeters

The length of the insect in decimeters is: 0.035 decimeters

Lesechka [4]3 years ago
3 0

Answer:

The length of the insect in decimeters is: 0.035 decimeters

Step-by-step explanation:

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Answer:

10.6 cones

Step-by-step explanation:

Given data

h= 4cm

d= 1.5cm

r= d/2= 0.75cm

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V= 1/3πr^2h

substitute

V= 1/3*3.142*(0.75)^2*4

V=  1/3*3.142*2.25

V=1/3*7.0695

V= 2.3565cm^3

Since the volume of 1 cone is 2.4cm^3

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=10.6 cones

About 10.6 cones

8 0
2 years ago
areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,
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Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles:40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2

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This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

A(n)=40\cdot1.5^{2(n-1)}

We want to determine which triangle has an area greater than 15000cm^2.

When A(n)=15000

40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

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3 years ago
How many days are there in a month? it is measured in the _____.?
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30 days in the month.
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An auto repair shop charges $36 per hour, plus the cost of replaced parts. Which of the following expressions can be used to cal
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(Auto Repair Shop Charge + Replaced Parts) x Number of Hours

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2 years ago
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