Ask question

Ask question

All categories

2 years ago

15

Solve for b Pythagorean

1 answer:

Vaselesa [24]2 years ago

7 0

The figure shows a right triangle at each corner with legs 3 and b and hypotenuse 4. The Pythagorean theorem tells you the sum of the squares of the legs is equal to the square of the hypotenuse:

3² + b² = 4² . . . . . . put the numbers into the Pythagorean formula

9 + b² = 16 . . . . . . . evaluate the squares

b² = 16 - 9 = 7 . . . . subtract 9 to isolate the variable

b = √7 . . . . . . . . . . undo the square operation by taking the square root

You might be interested in

a 96 ounce container of orange juice costs $4.80. at what price should a 128 ounce container be sold in order for the unit rate

Hunter-Best [27]

4.8 / 96 = x / 120
96x = 576
x = 576/96
x = 6

check :
unit rate for 96 oz container at 4.80 = 4.80/96 = 0.05 per oz
unit rate for 120 oz container at 6.00 = 6.00/120 = 0.05 per oz

Basically ur looking for an equivalent fraction (and that is what proportions are...this will reduce to the same unit rate. So ur answer is $ 6.00

5 0

3 years ago

The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q

Irina-Kira [14]

9514 1404 393

Answer:

q = 40

Step-by-step explanation:

When the quadratic has roots p and r, it can be factored as ...

(x -p)(x -r) = x² -(p+r)x +pr

So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...

p + r = 14

p - r = 6

2p = 20 . . . add the two equations

p = 10

r = 14 -p = 4

The value of interest is then ...

q = pr = (10)(4)

q = 40

__

The graph shows the roots to be 4 and 10, as we found.

3 0

3 years ago

how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale

GREYUIT [131]

Answer:the original price is $680

Step-by-step explanation:

1/4(x)=170

4×1/4(x)=4×170

x=$680

6 0

3 years ago

If the geometric mean of a and 34 is 6 sqrt(17) find the value of a

Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

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

The geometric mean, of a data-set of n elements, $(n_1, n_2, ..., n_n)$ , is given by:

$G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}$

That is, the nth root of the multiplication of all elements.

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

In this question:

Two elements(n = 2), a and 34.
$G = 6\sqrt{17}$

Thus:

$\sqrt{34a} = 6\sqrt{17}$

We find the square of each side, so:

$(\sqrt{34a})^2 = (6\sqrt{17})^2$

$34a = 36\times17$

Simplifying both sides by 17:

$2a = 36$

$a = \frac{36}{2}$

$a = 18$

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0

3 years ago

A number N is greater than 3. Which of the following best represents the location of 3N

Nesterboy [21]

Answer:

The second number line represent the location of 3N values.

Step-by-step explanation:

The first number line represent the inequality <em>N</em> > 3.

Now, the new number is 3<em>N</em>.

Consider the second number line values:

3N = {12, 15, 18, 21, ....}

The second number line represent the location of 3N values.

5 0

2 years ago