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2 years ago

14

Two paths each 2m wide run across the middle of a rectangular field. If the area of the cross path is 196m and its length is 60m

, find its breadth

1 answer:

Naddik [55]2 years ago

5 0

Answer:

d=2m

Area(A)=196m

l=60m

Now,

A=d(l+b-d)

196=2(60+b-2)

196=2(58+b)

196=116+2b

2b=196-116

2b=80

b=40m

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Four baskets contain 1, 4, 6, and 9 apples respectively. At least how many apples should be moved between the baskets to have th

creativ13 [48]

Answer:

Mmmm tricky but I'll try..

take away 4 apples from the basket with 9 and place it in the one with 1 apple

then take away one apple from the one with 6 and place it in the basket with 4

And now you have 5 apples in each basket

Happy now?

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2 years ago

Find the measure of the missing angle.

rosijanka [135]

Answer: 35 degrees

Step-by-step explanation:

A triangle always adds up to 180 degrees

? + 125 + 20 = 180

? + 145 = 180

? = 35

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2 years ago

The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti

DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

$P(t)=10000(0.2)^t$

1) $P(0)$ is the population initially.

$P(1)$ is the population after a year.

$\frac{P(1)}{P(0)}$ represents the population increase factor.

So let's evaluate that fraction:

$\frac{P(1)}{P(0)}$

$\frac{10000(0.2)^1}{10000(0.2)^0}$

$\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2$

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

$P(t)=10000(0.2)^{t}$

We want t to represent months.

A full year is 12 months, in a full year we have that $P(1)=10000(0.2)^1=10000(0.2)=2000$

So we want a new P such that $P(12)=2000$ since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) $P(12)=10000(0.87449)^{12}=2000 \text{approximately}$

b) $P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}$

c) $P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}$

d) $P(12)=10000(0.87449)^{12+12}=400 \text{approximately}$

So a is the function we want.

Also another way to look at this:

$P(t)=10000(.2)^t$ where $t$ is in years.

$P(t)=10000(.2^\frac{1}{12})^t$ where $t$ is in months.

And $.2^\frac{1}{12}=0.874485 \text{approximately}$

8 0

3 years ago

Emma had $2.40 to spend on seven pencils. After buying them she had $1.00. How much did each pencil cost?

OlgaM077 [116]

Answer:

Each pencil costs 20 cents

Step-by-step explanation:

2.40 - 1 = 1.40

1.40/7 = 0.2

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2 years ago

Read 2 more answers

Cole ride his bike for 45 miles at a rate if 15 miles per hour. How long did it take him to ride in 40 miles? PLEASE HELP

tatiyna

15x=45
45/15 =3
X=3
45 miles in 3 hours

How long did it take for 40 miles?

15x=40
40/15 = 2.6666667

15 x 2= 30
15 x 2.5 = 37.5
15 x 2.6 = 39
15 x 2.7 = 40.5
1 hour equals 60 mins

Answer:
It took Cole about 2 hours and 6 mins to ride 40 miles.

5 0

3 years ago