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2 years ago

Explain what method is used to solve problems involving scale drawings.

Mathematics

1 answer:

Gnesinka [82]2 years ago

4 0

The answer would be A. Use a proportion

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Maslowich

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2 years ago

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Show your work to find X

Kamila [148]

Answer:

x = 20

Step-by-step explanation:

(2 + 3x) and 62° are vertically opposite angles and are congruent, so

3x + 2 = 62 ( subtract 2 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

3 0

2 years ago

The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19

lisabon 2012 [21]

Answer:

$39,223\ rabbits$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

$a=9,100$

substitute

$y=9,100(1+r)^x$

For the year 1998

the number of years is equal to

x=1998-1991=7 years

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

$18,000=9,100(1+r)^7$

$(18,000/9,100)=(1+r)^7$

elevated both sides to 1/7

$(1+r)=1.1023$

$r=0.1023$

therefore

$y=9,100(1+0.1023)^x$

$y=9,100(1.1023)^x$

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

$y=9,100(1.1023)^{15}$

$y=39,223\ rabbits$

6 0

2 years ago

A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.

Lelechka [254]

Answer:

One hundred and fifty 40 pounds boxes and twenty 75 pounds boxes

Step-by-step explaination:

The maximum amount he can haul in one load is 7500 pounds

150 × 40 pounds boxes = 6000 pounds

20 × 75 pounds boxes = 1500 pounds

6000 pounds + 1500 pounds = 7500 pounds

8 0

3 years ago

Triangle XYZ is pictured below.

Butoxors [25]

Answer:

Step-by-step explanation:

sine uses opposite over hypotenuse

the opposite of x is 20 and the hypotenuse is 29

so the answer is 20/29

4 0

2 years ago

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