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Lesechka [4]
3 years ago
12

PLEASE HELP DUE TODAY!!! GIVING BRAINLIEST!!!

Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0
The answer is 72 square feet
Lapatulllka [165]3 years ago
5 0

Answer:

72 ft²

Step-by-step explanation:

Triangle = (7x5)0.5 = 35 x 0.5 = 17.5

semi circle = A=πr²=π·2²≈13

13/2 = 6.5

Rectangle = 12x4 = 48

48+17.5+6.5 = 48+24 = 72 ft²

You might be interested in
An electronics company makes communication devices for military contracts. The company just completed two contracts. The navy co
adelina 88 [10]

Answer:

Workers of army contract were more productive.

Step-by-step explanation:

To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.

  • <u>Navy Contract</u>:

Number of devices = 2,300

Number of workers = 25

Number of weeks = 2 weeks

Number of hours per week = 40

The number of hours it took 25 workers to produce 2300 devices is =

=25\times2\times40\\=2000\ hours

Then number of devices produced in 1 hour is = \frac{2300}{2000}= 1.15\ devices\ per\ hour

  • <u>Army Contract</u>:

Number of devices = 5,500

Number of workers = 35

Number of weeks = 3 weeks

Number of hours per week = 40

The number of hours it took 35 workers to produce 5500 devices is ==35\times3\times40\\=4200\ hours

Then number of devices produced in 1 hour is = \frac{5500}{4200}= 1.31\ devices\ per\ hour

The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.

4 0
3 years ago
David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $3
Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0
3 years ago
A 13ft board is to be cut into three pieces, two equal length ones and the third 9in shorter than each of the other two. If cutt
vaieri [72.5K]

Answer:

The pieces are 55 inches, 55 inches and 46 inches long

Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

3x = 165

x = 165 / 3 = 55 inches

Each of the first two pieces are 55 inches long.

The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

4 0
3 years ago
12 meter multiplied by 1.5 meters​
VladimirAG [237]

the answer is 18 meters

5 0
4 years ago
Read 2 more answers
HELPS PLS 44 and 17 what is y and x
olga_2 [115]
Y is 11.82
i put my working below

3 0
3 years ago
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