Given the following diagram, find the missing measure.<br> 2.<br> m

the cost of fencing a rectangular field at rupees 30 per metre is rupees 2400 if the length of the its field is 24m than its bre

prohojiy [21]

Answer:

breadth = 8, length = 32

Step-by-step explanation:

perimeter = 2 x (length x breadth)

= 2 x ((24 + b) + b))

= 2 x (24 + 2b)

= 48 + 4 b

48 + 4b meters costs rupees 2400

each meter costs rupees 30

so,

30 x (48 + 4b) = 2400

1440 + 120b = 2400

120b = 960

b = 8

the breadth is 8m, the length is 8 + 24 = 32m

3 0

3 years ago

Doctors can use radioactive chemicals to treat some forms of cancer. The half life of a certain chemical is 7 days. A patient re

RoseWind [281]

Answer:

5 millicuries

Step-by-step explanation:

Half life is 7 days which means it will be at 10 millicuries if we half that again for another 7 days then it will be 5.

6 0

3 years ago

Find the dimensions of an American football field. The length is 200 ft more than the width, and the perimeter is 1,040 ft. Find

natka813 [3]

Answer:

The width of the football field is 160 feet.

The length of the football field is 360 feet.

Step-by-step explanation:

Let w represent width of the football field.

We have been given that the length is 200 ft more than the width, so the length of the field would be $w+200$ .

We are also told that the perimeter is 1,040 ft. We know that football field is in form of rectangle, so perimeter of field would be 1 times the sum of length and width. We can represent this information in an equation as:

$2(w+w+200)=1040$

Let us solve for w.

$2(2w+200)=1040$

$4w+400=1040$

$4w+400-400=1040-400$

$4w=640$

$\frac{4w}{4}=\frac{640}{4}$

$w=160$

Therefore, the width of the football field is 160 feet.

Upon substituting $w=160$ in expression $w+200$ , we will get length of field as:

$w+200\Rightarrow 160+200=360$

Therefore, the length of the football field is 360 feet.

7 0

3 years ago

‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

pashok25 [27]

Answer:

uhhh wheres the question

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

charles deposited $12,000 in the bank. He withdrew $5,000 from his account after one year. If he recives a total amount of $9,34

Schach [20]

Answer:

The rate of simple interest is 9%

Step-by-step explanation:

* Lets talk about the simple interest

- The simple Interest Equation (Principal + Interest) is:

A = P(1 + rt) , Where

# A = Total amount (principal + interest)

# P = Principal amount

# I = Interest amount

# r = Rate of Interest per year in decimal r = R/100

# R = Rate of Interest per year as a percent R = r * 100

# t = Time period involved in months or years

- The rule of the simple interest is I = Prt

* lets solve the problem

- Charles deposited $12,000

∴ P = $12,000

- He withdrew $5,000 from his account after one year

- He receives a total amount of $9,340 after 3 years

∴ A = $9340 and t = 3

- Lets find the inetrest after 1 year

∵ I = Prt

∵ P = 12000

∵ t = 1

∴ I = 12000(r)(1) = 12000r

- Lets subtract the money that he withdrew

∵ He withdrew $5000

∵ He deposit at first 12000

∴ He has after the withdrew 12000 - 5000 = 7000

- The new P for the next 2 years is 7000

- This amount will take the same rate r for another two years

- The total money is $9340

∵ I = A - P

∵ A = 9340

∵ P = 7000

∴ The amount of interest = 9340 - 7000 = 2340

- The amount of interest after 3 years is 2340

- Lets find the amount of interest in the two years

∴ I = 7000(r × 2) = 14000r

- The amount of interest after the 3 years is the sum of the interest in

the 1st year and the other 2 years

∴ 2340 = 14000r + 12000r

∴ 2340 = 26000r ⇒ divide both sides bu 2340

∴ r = 2340 ÷ 26000 = 0.09

∵ The rate R in percentage = r × 100

∴ R = 0.09 × 100 = 9%

∴ The rate of simple interest is 9%

8 0

3 years ago

Given the following diagram, find the missing measure. 2. m_1= 30°, m 2 = 45°, m 3 =