Ask question

Ask question

All categories

2 years ago

11

The length of the hypotenuse of a right triangle is 16 inches. If the length of one leg is 5 inches, what is the approximate len

gth of the other leg? 10.5 inches 11.0 inches 15.2 inches 16.8 inches

1 answer:

Musya8 [376]2 years ago

7 0

Answer:

15.2 inches

Step-by-step explanation:

a^2 + b ^2= c^2

5^2 + b ^2=16^2

b ^2=256 - 25

√b ^2=√231

b= 15.2 inches

You might be interested in

How do I solve this? i missed ONE class

lisov135 [29]

Answer:

a < 42

Step-by-step explanation:

Question : 4a + 9a - 6a < 42

Answer :

4a + 9a - 6a < 42

Combine like terms.

13a - 6a < 42

7a < 42

Divide both sides by 7.

a < 42

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0

2 years ago

Read 2 more answers

Choose the domain for which each function is defined

klemol [59]

Answer:

Part 1) $f(x)=\frac{x+4}{x}$ -----> $x\neq 0$

Part 2) $f(x)=\frac{x}{x+4}$ ----> $x\neq -4$

Part 3) $f(x)=x(x+4)$ ----> All real numbers

Part 4) $f(x)=\frac{4}{x^2+8x+16}$ ----> $x\neq -4$

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

$f(x)=\frac{x+4}{x}$

we know that

In a quotient the denominator cannot be equal to zero

so

For the value of x=0 the function is not defined

therefore

The domain is

$x\neq 0$

Part 2) we have

$f(x)=\frac{x}{x+4}$

we know that

In a quotient the denominator cannot be equal to zero

so

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

Part 3) we have

$f(x)=x(x+4)$

Applying the distributive property

$f*(x)=x^2+4x$

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

we know that

In a quotient the denominator cannot be equal to zero

so

Equate the denominator to zero

$x^2+8x+16=0$

Remember that

$x^2+8x+16=(x+4)^2$

( $x+4)^2=0$

The solution is x=-4

so

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

6 0

2 years ago

Which expression is equivalent to-3(m+5)

krek1111 [17]

Answer:

The expression equivalent to -3( m + 5) is

c) - 3m - 15

Step-by-step explanation:

8 0

2 years ago

Anyone help please!!!!

Andre45 [30]

We are to verify the identity:

cos(α-B)-cos(α+B) = 2 sinα sinβ

Left hand side = cos(α - B)-cos(α + B)

= cosα cosβ + sinα sinB - (cosα cosB - sinα sinβ)

= cosα cosβ + sinα sinB - cosα cosB + sinα sinβ)

= sinα sinβ + sinα sinβ

= 2 sinα sinβ

= Right Hand side

6 0

3 years ago

Read 2 more answers

X-Y-2Z =-11<br> X-2Y-Z = -11 <br> -X+Y+3Z = 14

Snowcat [4.5K]

9514 1404 393

Answer:

(X, Y, Z) = (-2, 3, 3)

Step-by-step explanation:

We can subtract the second equation from the first to get ...

Y -Z = 0

We can add the third equation to the first to get ...

Z = 3

Then ...

Y -3 = 0 ⇒ Y = 3

and ...

X -3 -2(3) = -11

X = -2 . . . . . . . . . add 9

The solution is ...

(X, Y, Z) = (-2, 3, 3)

7 0

2 years ago