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maks197457 [2]
3 years ago
15

A rectangle has side lengths 2x + 3 and 5x - 2.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

10x² + 11x - 6

Step-by-step explanation:

The area (A) is the product of the sides, that is

A = (2x + 3)(5x - 2) ← expand using FOIL

   = 10x² - 4x + 15x - 6 ← collect like terms

   = 10x² + 11x - 6

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A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from
EastWind [94]

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

\theta=42^{\circ}

Let Point  A (3,7)  and point B(8,8)

We have to find the work done by the force.

d==

r=\mid d\mid=\sqrt{x^2+y^2}=\sqrt{5^2+1^2}=\sqrt{26} feet

We know that Work done by the force

W=Frcos\theta

Substitute the values

W=3\times \sqrt{26}cos42=11.37 lb-ft

Hence, the work done by the force =11.37 lb-ft

6 0
3 years ago
What is 0.68 expressed as a fraction in simplest form? Both the 6 and the 8 repeat.
andreev551 [17]

Answer:

68/99

Step-by-step explanation:

.68686868686 repeating

Let x= .68686868668repeating

Multiply by 100

100x = 68.686868686repeating

Subtract x = .68686868repeating from this equation

100x = 68.686868686repeating

-x = .68686868repeating

------------------------------------------

99x = 68

Divide each side by 99

99x / 99 = 68/99

x = 68/99

3 0
3 years ago
Determine the value of z for the system of equations.
Natali5045456 [20]

Answer:

{x, y, z} = {-4, 2, 4}

<u>i think this is the answer</u>

7 0
3 years ago
The temperature at 12 noon was 10 degree celsius. If it decreases at the rate of 2 degree celsius per hour until midnight, at wh
xenn [34]

9 o clock for 8 degree below zero 14 below zero at midnight

8 0
3 years ago
How many times can 36 go into 477
boyakko [2]
477/36= 13.25 
You divide the two numbers to see that 36 will go into 477, 13.25 times. 
8 0
3 years ago
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