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GarryVolchara [31]

3 years ago

13

Suppose that you know that angle t and angle s are supplementary, and that the measure of angle t = 3 times the measure of angle

s.
How can you find the measure of angle t ?

2 answers:

DENIUS [597]3 years ago

7 0

Find the measure of angle t by...
180 / 3 that's s
so 180-60 is t which is 120
(s is 60)

KonstantinChe [14]3 years ago

6 0

180 / 3 is s so 180 - 60 is going to be t.

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On a scale drawing 2 centimeters represent 50 meters. How many centimeters represent 5 meters?

Tanya [424]

Answer:

0.2 centimeters

Step-by-step explanation:
Strategy 1:

Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters

First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.

Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
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x cm = 0.2 cm

Strategy 3:
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2 years ago

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lions [1.4K]

Answer:

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3 years ago

a particular city had a population of 24,000 in 1900 and a population of 29,000 in 1920. Assuming that its population continues

DerKrebs [107]

Answer:

It will have a population of 61,779 in 2000.

Step-by-step explanation:

The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the population in 1900 and r is the growth rate.

Population of 24,000 in 1900

This means that $P(0) = 24000$

Population of 29,000 in 1920.

1920 is 1920 - 1900 = 20 years after 1900.

This means that P(20) = 29000. So

$P(t) = P(0)(1+r)^{t}$

$29000 = 24000(1+r)^{20}$

$(1+r)^{20} = \frac{29000}{24000}$

$\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}$

$1 + r = 1.0095$

So

$P(t) = P(0)(1+r)^{t}$

$P(t) = 24000(1.0095)^{t}$

What population will it have in 2000

2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).

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Answer:

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