All categories

3 years ago

A right triangle has one leg with a length of 48 and a hypotenuse with a length of 50. HELPPPPPP

Mathematics

2 answers:

const2013 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

The formula for finding the hypotenuse of a right triangle is a^2 + b^2 = c^2. A and B stand for the legs of the triangle while C is the hypotenuse of a right triangle. With this information, you can plug in the numbers into the formula to discover the length of C. You can plug in 48 for either A or B since it is the only leg you know the value of, and then you plug in 50 for C since you know it is the hypotenuse. So, you get 48^2 + b^2 = 50^2. Now to find the value of the unknown leg, b, you just simplify the equation. 48^2= 2304 and 50^2= 2500. So you get 2304 + b^2 = 2500. Then, to isolate b^2 you subtract 2304 from both sides of the equation. 2500-2304 equals 196, so you get b^2 = 196. Lastly, you square root both sides of this equation to get b = 14.

makkiz [27]3 years ago

3 0

Answer:

14 is the length of the missing side.

Step-by-step explanation:

Use pythagorean theorem.

$48^{2}+b^{2}=50^{2}$

$2304+b^{2}=2500$

$\sqrt{b^{2}}=\sqrt{196}$

$b=14$

You might be interested in

A color printer prints 21 pages in 10 minutes. How many pages does it print per minute?

vlabodo [156]

1/
21 pages: 10 minutes
? pages: 1 minute
21÷10=2.1. As a result,it prints 2.1 pages per minute
2/
$3: 5 lbs
?$: 1 lb
3÷5=0.6. As a result, she pays $0.60 per pound of rice. Hope it help!

5 0

4 years ago

List all partitions of the set. (a) (1,2) (b) [a, b,c)

Alchen [17]

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)

3 0

3 years ago

the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousa

amm1812

Answer:

$y(x)=-0.028x+14.6$

Step-by-step explanation:

Birth Rate in 1994 = 14.6 births per thousand population.

Birth Rate in 2004 = 14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

x=years after 1994
y=the birth rate
m=Yearly Birth Rate

First, we determine the birth rate per year

$m=\dfrac{14.32-14.6}{10-0}\\=\dfrac{-0.28}{10}\\m=-0.028$

Therefore, a linear equation that relates y in terms of x is of the form:

$y(x)=-0.028x+c$

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

$y(x)=-0.028x+14.6$

4 0

3 years ago

Factor the expression below. x3 − 27

Gekata [30.6K]

Well, the formula is: (a-b)(a^2+ab+b^2)therefore the answer would be: (x-3)(x^2+3x+9)hope this helps

4 0

4 years ago

Read 2 more answers

If (-3) exponent -5 = 1/x, what is the value of x? -243 - 1/243 1/243 243

trapecia [35]

Answer:

$\boxed {-243}\\$

Step-by-step explanation:

$\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}$

6 0

3 years ago