All categories

3 years ago

A right triangle has a hypotenuse of 8 feet. One leg has a length of 5 feet. How long is the other leg?

Mathematics

2 answers:

posledela3 years ago

7 0

THEOREM:

<u>Pythagorean theorem</u>:– In a right angled triangle, the sum of squares of two legs is equal to the square of hypotenuse.

ANSWER:

Let the other leg be p, by pythagorean theorem

p² = h² - b²

p² = (8)² - (5)²

p² = 64 - 25

p² = 39

p = √39 ft.

So, <u>Correct choice</u> - [B] √39 ft.

liraira [26]3 years ago

3 0

Answer:

Step-by-step explanation:

The formula a^2 + b^2 = c^2 can be used to find any of the legs of the triangle. a and b are legs of the triangle and c is the hypotenuse. We can substitute known values into the equation:

a^2 + b^2 = c^2

One leg is 5 so we can put that in as a. And c, the hypotenuse, is 8.

5^2 + b^2 = 8^2

Now solve for b.

First, square 5 and 8

25 + b^2 = 64

Subtract 25 from both sides

b^2 = 39

Take the square root of both sides

b = √39

You might be interested in

After a snowstorm in the town of Golden Glen, the morning temperature was – 10°F. But by the afternoon, the temperature had rise

spayn [35]

Answer:

7°F

Step-by-step explanation:

We have the following information from the question;

Morning temperature = -10°F

Increase in temperate = 17°F

Afternoon temperature = the unknown

Since;

Increase in temperature = Afternoon temperature - morning temperature

Then;

Afternoon temperature = increase in temperature + morning temperature

Afternoon temperature = 17°F + (-10°F)

Afternoon temperature= 7°F

5 0

3 years ago

Equation of the line contains the points (-3,2) and (5,-5)

makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)$

So the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}$

Thus, the equation of the line is of the form:

$y = - \frac {7} {8} x + b$

We substitute one of the points and find "b":

$2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}$

Finally, the equation is:

$y = - \frac {7} {8} x- \frac {5} {8}$

Answer:

$y = - \frac {7} {8} x- \frac {5} {8}$

6 0

3 years ago

What is the variable of x?

bogdanovich [222]

The variable for x is twenty eight

3 0

3 years ago

The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.

lidiya [134]

Answer:

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Step-by-step explanation:

We are given a function which represent population of a town after t years.

$f(t)=7248(0.983)^t$

It is an exponential function. Exponential function wither decease or increase it depends on factor.

$y=a\cdot b^x$

b is factor which decides factor of exponential function decrease or increase.

If b >1 then function increase

If 0<b<1 then function decrease.

If we see our problem $f(t)=7248(0.983)^t$

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.

7 0

3 years ago

Read 2 more answers

Find the radius for the circle please show how you got ur anwser so show ur work plz and thanks

ycow [4]

Answer:

Step-by-step explanation:

So first you would have to divide 113.04 by 3.14 and you would get 36. Next you would have to square 36 to get 6 which is your radius.

5 0

3 years ago