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N76 [4]
3 years ago
8

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i

s the value of b, if c=13 and a=12
Mathematics
1 answer:
nevsk [136]3 years ago
7 0

The Pythagorean theorem tells you ...

... c² = a² + b²

... 13² = 12² + b² . . . . . fill in the given numbers

... 169 - 144 = b² . . . . .subtract 12²

... √25 = b . . . . . . . . . take the square root

... b = 5 . . . . . . The value of b you're looking for.

_____

The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.

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The derivative of a function f(x)=2-7sinx is--------
Setler [38]

Answer: -7cos(x)

Step-by-step explanation:

d/dx (f(x))= -7cos(x)

7 0
2 years ago
If you have 66 data observations in a sample, how many classes (bins) does the sturges' rule recommend for you to construct a fr
Iteru [2.4K]

According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7

Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.

Given,

n = 66

We know that,

According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:

k=1+log_{2} n

Here, n is equal to 66 and by substituting the value to the equation we get:

k=1+log_{2} (66)

k = 7.0444

k ≈ 7

Learn more about Sturge's rule here: brainly.com/question/28184369

#SPJ4

8 0
1 year ago
In a relay race, Nancy ran her part in 15.25 seconds, John ran his part in 13.8 seconds, Sylas ran his part in 16.4 seconds. Wha
sp2606 [1]

Answer:

45.45

Step-by-step explanation:

7 0
3 years ago
han exit showed that 7 out of every 8 voters cast a ballotin favor of an amendment to a city charter. at this rate, how many peo
stepladder [879]

298000  \div 8 = 37250 \\ 37250 \times 7 = 260750
260,750 voters cast a ballot in favor.
4 0
3 years ago
Write the percent shown by each model. Explain your reasoning.
Sphinxa [80]
A) 1/3=33 1/3%
B) 2/3=66 2/3%
C) 1/6=16 2/3%

A) YOU CAN TURN THE FRACTION 1/3 INTO A DECIMAL WHICH WILL BE AROUND 0.333. THEN YOU TURN THE DECIMAL INTO A PERCENT. YOU CAN MOVE THE DECIMAL TWO PLACES TO THE RIGHT. THAT GIVES YOU 33.3% OR 33 1/3% THIS ALSO APPLIES TO B BUT WITH 0.666 AND 66.6%

FOR C, YOU DO THE SAME. 1/6 AS A DECIMAL IS 1.666. YOU MOVE THE DECIMAL TWO PLACES TO THE RIGHT. 16.6% OR 16 2/3%


HOPE THIS HELPED.
8 0
3 years ago
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