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2 years ago

The legs of the right triangle are a, b and the hypotenuse is c. Find the missing sides of the right triangle.

Mathematics

2 answers:

snow_tiger [21]2 years ago

5 0

1)6.32 2)12.80. 3)13

adelina 88 [10]2 years ago

4 0

Answer:

1)6.32

2)12.80

3)13

Step-by-step explanation:

$\sqrt{ {6}^{2} + {2}^{2} }$

$\sqrt{ {8}^{2} + {10}^{2} }$

$\sqrt{ {5}^{2} + {12}^{2} }$

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H(x)= 9/x( x^2-49)<br> Determine the domain of the function

Norma-Jean [14]

Answer: The domain of the function $h(x) = \frac{9}{x(x^2-49)}$ is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

$h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}$

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

$x=0$

$x+7=0$ --> $x=-7$

$x-7=0$ --> $x=7$

So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

8 0

3 years ago

A number between 1 and 3 is chosen 30 times. Results are shown in the table below. What is the experimental probability of picki

GuDViN [60]

The chances of picking an even number (that is not odd) would be 1 out of 3

8 0

2 years ago

PLEASE HELP ASAP!!

Fed [463]

Answer: The missing statements are,

In first blank: ∠2≅∠1

In second blank: AC≅AC

In third blank: Reflexive

Step-by-step explanation:

Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.

Here, given:

∠D and ∠B are right angles.

DC ║ AB

Prove: Δ ADC ≅ Δ CBA

Statement Reason

1.∠D and ∠B are right angles 1. Given

2. ∠2 ≅ ∠1 2. If lines are parallel then interior angles

are equal

3. AC≅AC 3. Reflexive

4.Δ ADC ≅ Δ CBA 4. Hypotenuse angle theorem

6 0

2 years ago

PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li

Sonja [21]

Answer:

$x=10$

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

In this problem

$(8x+50)\°=130\°$ -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

$8x=130-50$

$8x=80$

Divide by 8 both sides

$x=80/8$

$x=10$

7 0

2 years ago

Simplify the function. Than determine the key aspects of the function

Tom [10]

To simplify the function, we need to know some basic identities involving exponents.

1. b^(ax)=(b^x)^a=(b^a)^x

2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)

Now simplify f(x), where

f(x)=(1/3)*(81)^(3*x/4)

=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]

=(1/3)(3^(4*3*x/4) [ rule 1 above ]

=(1/3) (3^(3*x)

=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]

(A) Initial value is the value of the function when x=0, i.e.

initial value

= f(0)

=(1/3)(3^(3x))

=(1/3)(3^(3*0))

=(1/3)(3^0)

=(1/3)(1)

=1/3

(B) the simplified base base is 3 (or 27 if the other form is used)

(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).

8 0

3 years ago