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3 years ago

Find the area of the smallest side of the right triangle. Show your work. Box your answer.

Mathematics

1 answer:

lawyer [7]3 years ago

4 0

Answer:

25 ft²

Step-by-step explanation:

The hypotenuse = $\sqrt{169}$ = 13 ft

the side with area 144 ft² = $\sqrt{144}$ = 12 ft

Using Pythagoras' identity to find the third side x ( smallest )

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = $\sqrt{25}$ = 5

Thus area of smallest side = 5² = 25 ft²

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If 2k - 3 = 9 (k+7)-3 then k is ????

m_a_m_a [10]

Answer:

k= -9

Step-by-step explanation:

2k-3=9k+63-3 [expand the 9(k+7) first]

2k-9k=63-3+3 [put the like terms together]

-7k=63 [do the simple math]

k= 63 ÷ by -7

k=-9

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3 years ago

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What is the y-intercept of y=4x-7 & 7x+2y=18

bixtya [17]

Answer:

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Step-by-step explanation:

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2 years ago

Two planes are heading toward each other. One plane is traveling at 450 mph, and the other plane is traveling at 375 mph. What i

gavmur [86]

Answer:

the rate at which the distance between the planes is changing is 825 each hour

Step-by-step explanation:

The computation of the rate at which the distance between the planes is changing is shown below

= Travelling one plane + travelling another plane

= 450 mph + 375 mph

= 825 mi each hour

Therefore the rate at which the distance between the planes is changing is 825 each hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered

3 0

2 years ago

The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?

lora16 [44]

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

$\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14$

So, the coordinates of G are (15,-14).

4 0

2 years ago

Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which

olganol [36]

Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ rational number

Solving (b): When r/s is irrational is false

Given that:

$\frac{r}{s} \to$ irrational number

Set r to 0

So:

$\frac{r}{s} = \frac{0}{s}$

$\frac{r}{s} = 0$ -- rational

<em>Hence, the statement is false when r is 0</em>

8 0

2 years ago