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Nikolay [14]
3 years ago
12

A rectangle has a length of 2x 5 units and a width of , 3 units. What is the area, in square

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

2 {x}^{2}  - 11x + 15

Step-by-step explanation:

We we're given the length of the rectangle as

l = 2 {x}  - 5

and the width of the rectangle as :

w = x  - 3

Recall that, the area of a rectangle is

Area=l×w

We substitute the given dimensions of the rectangle into the formula to get:

area =( 2 {x}  - {5} ) \times(x  -   3)

We expand

2 {x}^{2}  - 6x - 5x + 15

This simplifies to:

2 {x}^{2}  - 11x + 15

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
inysia [295]
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):

5x + 10y = 725
x + y = 100

By substitution, we get:

5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
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-5x = -275
x = -275/-5 = 55

100 - 55 = 45

Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.

To verify, plug and chug the results back into the original equations:

5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]

55 + 45 = 100 [OK]
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Step-by-step explanation:

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In the kite, the orange diagonal is 10 units and the purple diagonal is 14 units. What is the area of the kite?
Vlada [557]

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Is sin A is 7/10 what is Cos A
viva [34]

Answer:

Cos A = (√51)/ 10

Step-by-step explanation:

sin  is opposite/hypothenuse

cos is adjacent/hypothenuse

Pythagorus theorem says that c² = a² + b²

10² = 7² + b²

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b = ±√51

It doesn't make sense for a length to be a minus number therefore, we will use +√51.

Cos A = (√51)/ 10

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