All categories

2 years ago

Find the missing side of triangle in simple radical form

Mathematics

1 answer:

Andre45 [30]2 years ago

8 0

Answer:

$\sqrt{262}$

Step-by-step explanation:

$Formula For Right Triangle Sides : a^{2} + b^{2} = c^{2}$

Remember c is the angel facing towards the 90 degrees angel.

Variables:

$a = \sqrt{37}$

$b = 15$

$c = x$

————————————

$\sqrt{37} * \sqrt{37} + 15 * 15 = c^{2}$

$37 + 225 = c^{2}$

$262 = c^{2}$

$\sqrt{262} = c$

You might be interested in

Irina wants to tile her floor using the translation shown below. Which is the rule for this translation? T–3, 2(x, y) T2, –3(x,

Solnce55 [7]

Answer:

The answer is A, -3.2(x y).

Step-by-step explanation:

I thought the answer was D but I took the test and the answer ended up being A. (Brainliest?)

6 0

3 years ago

Read 2 more answers

Help help help help help

e-lub [12.9K]

Answer: E: 100%

Step-by-step explanation:

If the class average is currently 70% and she wants to increase it by 10% every week for 3 weeks, 10×3=30% and 70+30= 100%.

PS- It would mean the world to me if you could mark me brainliest!

I am not a professional, I am simply using prior knowledge!

7 0

2 years ago

The graph shows a car's value as a function of its age.

IRISSAK [1]

The price it 2 years would be 10k cash

4 0

3 years ago

6. Gabriella invests $6,500 into a savings account that earns 4.5% interest, and she is investing the money for 5 years without

sdas [7]

Answer:

1,462.50

Step-by-step explanation:

6500

x.045

=292.50 per year

x. 5 years

=1,462.50

4 0

3 years ago

A plane flying horizontally at an altitude of 3 miles and a speed of 500 mi/h passes directly over a radar station. Find the rat

konstantin123 [22]

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles

First, we need to find b:

$a^{2} + b^{2} = h^{2}$ (1)

$b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles$

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

$\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})$

$2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:

$0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

$\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h$

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

4 0

2 years ago