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Eva8 [605]
3 years ago
10

The leg of a triangle is 7 cm and the hypotenuse is 13 cm. What is the length of the other leg of the triangle?

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

2√30

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

7^2 + b^2 = 13^2

b^2 = 120

b = 2√30

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In the right triangle shown, the third side can be represented by the expression
Westkost [7]

The third side can be represented by D) x = \sqrt{z^{2} } -y^{2} .

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

In the given triangle, the hypotenuse is the side that is represented by z. Another side on the triangle is represented by the value y.

Step 2:

Assume the other side of the triangle measures x units.

So according to the Pythagorean theorem,

z^{2}  = x^{2} +y^{2} , x^{2} = z^{2} - y^{2} .

x = \sqrt{z^{2} } -y^{2} which is option D.

6 0
3 years ago
The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time
pickupchik [31]

Answer:

N_c \approx 5.0

Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production T_w=0.25day

Average processing time is T_a=0.15 day per container

Wheel per container N_w=200

Total wheel per day D=2000

Policy variable of X=5%  

Generally the equation for Total number of container N_c is mathematically given by

N_c=DT(\frac{1+X}{N_w} )

Where

Total time T=T_w+T_a

T=0.15+0.25

Therefore

N_c=DT(\frac{1+X}{N_w} )

N_c=2000*0.40(\frac{1+0.5}{200} )

N_c=(\frac{840}{200} )

N_c=4.2

N_c \approx 5.0

Therefore the number of Kanban containers needed for the wheels is

N_c \approx 5.0

3 0
3 years ago
Convert to scientific notation ​
andreev551 [17]

Answer:

8.245*10^6

Step-by-step explanation:

scientific notation is known as c*10^n

c : any number from 1-10

n : the power of base 10

the number in our case between 1 and 10 is 8.245

but then we want to move the decimal 6 spaces to the right, so we multiply that by 10^6

8 0
4 years ago
What is the domain of the function F(x) = 4 cos(2x+1)?
Veseljchak [2.6K]

Answer:

Domain: (-inf, inf)

Range: [-4,4]

6 0
3 years ago
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