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2 years ago

13

Of the 50 states 2/5 of the states start with the letters M, A, or N. How can you use equivalent fractions to find out how many

states this is?

1 answer:

Fofino [41]2 years ago

7 0

Do 50/5 which is 10, and then 10 x 2 = 20, the answer is 20

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

2.314 (14 repeating) as a fraction

katen-ka-za [31]

Step-by-step explanation:

2.3141414...

= 2 + 3/10 + 14/990

= 2 + 311/990

= 2291 / 990

5 0

2 years ago

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Which measurement is not equal to 3 m 30 dm or 300 cm or 3000 mm or 3000 cm

Ainat [17]

3000cm because if you look at the variables there is no more letter m's than anything so if you cancel out and see what is equal to 30 then you get 3000cm!!!!!

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2 years ago

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Nikolay [14]

Answer:

gffghjjdfdgfgjgfdgj

Step-by-step explanation:

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2 years ago

I am filled with heliuim. what am i?

ExtremeBDS [4]

Answer:

a balloon ?

Step-by-step explanation:

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2 years ago

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