All categories

3 years ago

What is the length of the hypotenuse of the triangle when x=10?

Mathematics

2 answers:

Schach [20]3 years ago

5 0

Answer:

84 (nearest whole number)

Step-by-step explanation:

If x = 10,

Longest leg = (7 x 10) + 4 = 74

Shortest leg = 4 x 10 = 40

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):

⇒ 74² + 40² = c²

⇒ 7076 = c²

⇒ c = √7076 = 84.11896...

⇒ hypotenuse = 84 (nearest whole number)

nikitadnepr [17]3 years ago

4 0

Answer:

Step-by-step explanation:

$\sqrt{ {(40)}^{2} + {74}^{2} } = 84.1$

You might be interested in

If f(x)=x^2-45, and f(2a)= -20, what is the value of a

Klio2033 [76]

Hope this helps!!! :)

5 0

3 years ago

A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n

Elena L [17]

Answer:

After 7 years the population will be 15268.

Step-by-step explanation:

Given a town has a population of 12000 and grows at 3.5% every year. we have to find the population after 7 years.

As the general growth formula is

$A = P(1 + r)^t$

where A = Amount after growth

P = Original amount

r = yearly growth rate

t = no. of years

here, P=12000, r=0.035, t=7

$A=12000(1+0.035)^7$

= $12000(1.035)^7$

= $15267.35\sim15268$

Hence, after 7 years the population will be 15268.

3 0

3 years ago

can someone please help me with this word problem?

Irina-Kira [14]

Answer:

abcdefghijklmnopqrstuv

Step-by-step explanation:

4 0

3 years ago

If the heart of a human beats 72 times in 1 minute. Find, in what time will the heart beat 204 times?

Lelechka [254]

Hello!

your answer is: 2 minutes, 49 seconds, and 800 milliseconds

to get this, divide 204 by 72. that gives you the amount of minutes the heart was beating, which is 2.83 minutes

then, multiply 2.83 by 60 to get the seconds

you have 169.8 seconds.

2 minutes is equal to 120 seconds, so subtract that from 169.8

that leaves 49.8 seconds

.8 seconds is equal to 800 milliseconds

so put it all together and you have: 2 minutes, 49 seconds, and 800 milliseconds

I hope this helps, and have a nice day!

3 0

3 years ago

For what real values of does the quadratic 12x^2+k*x+27=0 have nonreal roots

icang [17]

Step-by-step explanation:

Discriminant : k² - 4(12)(27) < 0

So k² - 1296 < 0, -36 < k < 36.

3 0

3 years ago

Read 2 more answers

What is the length of the hypotenuse of the triangle when x=10​?

What is the length of the hypotenuse of the triangle when x=10?