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Nitella
2 months ago
10

Which equation could be used to find the length of the hypotenuse ?

Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
4 0
The equation is: 2² + 5² = c²
Step-by-step explanation:
To ascertain the hypotenuse length of a right triangle, the Pythagorean theorem can be expressed as: a² + b² = c², where c symbolizes the hypotenuse's length, and a and b denote the lengths of the other two triangle sides.
In this scenario, a = 2, b = 5, and c = c, thus according to the Pythagorean theorem:
2² + 5² = c².
Inessa [12.5K]2 months ago
3 0
The Pythagorean theorem is a foundational principle. Given that 2 and 5 represent the lengths of the legs while c denotes the hypotenuse, the relevant equation would be stated as such, corresponding to the first option.
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The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
Inessa [12570]

Answer:

P = 2*(26+4y) + 4y

Upon solving for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we have:

150 = 12y

Thus, we arrive at:

y = \frac{150}{12}= 12.5

And for x, we determine:

x = 26 +4*12.5 = 76

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

P= 2x+2y

Here, x denotes the length and y the width. The following conditions can be established:

x = 26 +4y

Substituting these values yields:

P = 2*(26+4y) + 4y

When we solve for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we obtain:

150 = 12y

Thus, we conclude:

y = \frac{150}{12}= 12.5

The length is found to be 76, while the width measures 12.5.

6 0
3 months ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-co
tester [12383]

Answer:

Crearemos una tabla con estos valores según diferentes valores de x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27        150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Por lo tanto, la función que mejor representa los datos es:

Opción C.

y=26.9x-1.3

Explicación paso a paso:

4 0
3 months ago
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
zzz [12365]

Answer:

The wheel's diameter in millimeters is 660.4

Step-by-step explanation:

The diameter of the wheel is 26 inches

as given

1 inch equals 25.4 millimeters

Multiplying both sides by 26

26 inches = 26*25.4 millimeters

=>26 inches = 660.4 mm.

Thus, the diameter of the wheel in millimeters is 660.4

3 0
3 months ago
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