All categories

2 years ago

A right triangle has legs of lengths 19 and 10 inches. Find the length of

Mathematics

2 answers:

AnnZ [28]2 years ago

7 0

Answer:

21.5

Step-by-step explanation:

19^2+10^2=461

square root of 461 =21.47091055

round to the nearest tenth to get 21.5

Juli2301 [7.4K]2 years ago

7 0

Answer:

The length of the hypotenuse is 21.5 inches.

Step-by-step explanation:

a^2+b^2=c^2 so 19^2+10^2=461. Then find the square root of that which is 21.5.

You might be interested in

A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. Wha

harina [27]

Answer:

Step-by-step explanation:

6 0

3 years ago

A function passes through the points (2,9) and (7,34). What are its rate of change and initial value?

Bess [88]

Answer:

The rate of change: 1/5

Initial value: (0,-1)

Step-by-step explanation:

The rate of change is easily 5/25, we just have to simplify it to 1/5.

To get the intial value, just subtract (2,9) by the rate of change twice.

5 0

3 years ago

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

AysviL [449]

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

8 0

3 years ago

F(x)=(x+4)(x-2)(x+4)(x+4) What is the multiple zero? Multiplicity is?

kari74 [83]

$f(x)=(x+4)(x-2)(x+4)(x+4)\\f(x)=(x+4)^3(x-2)=0\\(x+4)^3=0~|~(x-2)=0\\(x+4)(x+4)(x+4)=0~|~x=2\\x=-4,2$

The multiple zero is x = -4.

The multiplicity is 2 because there are two values of x.

8 0

3 years ago

M is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m

klio [65]

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

$m \propto\ r^3$

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

$m = kr^3$

Given

r=3,m=216

Putting the values

$216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8$

The equation will now become

$m = 8r^3$

Putting r = 5

$m = 8(5)^3\\m = 8 * 125\\m = 1000$

Hence,

The value of m is 1000 for r=5

7 0

3 years ago