All categories

2 years ago

Work out the length of x.

Mathematics

1 answer:

lana [24]2 years ago

4 0

Answer:

x ≈ 17.1 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 9² + 14.5² = 81 + 210.25 = 291.25 ( take the square root of both sides )

x = $\sqrt{291.25}$ ≈ 17.1 m ( to 1 dec. place )

You might be interested in

What is the answer to this calculus problem??? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28e%20%7B%7D%5E

Len [333]

Answer:

see explanation

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)g(x), then

$\frac{dy}{dx}$ = f(x). g'(x) + g(x). f'(x)

here f(x) = $e^{x}$ ⇒ f'(x) = $e^{x}$

g(x) = cosx ⇒ g'(x) = - sinx

Hence

$\frac{dy}{dx}$ = $e^{x}$ (- sinx) + cosx $e^{x}$

= $e^{x}$ cosx - $e^{x}$ sinx

3 0

2 years ago

Solve -4x+2>26 A. x > -6 B. x > 6 C. x < 6 D. x < -6

NikAS [45]

Answer:

Step-by-step explanation:

-4 * -6 is -34

add 2 and you have -24

6 0

2 years ago

A board with a length of 15 feet is leaning against a vertical wall at a point that is 12 feet above the ground. The angle that

Ivan

Answer:

In fact, the AB could be calculated in a quickest way, using Pythagorean theorem. In here, we try to use the property of trigonometry to work out AB.

Before applying trigonometry, in this right triangle we can calculate the remaining angle C:

C = 180 - 90 - A = 180 - 90 - 53.13 = 36.87 deg

We can use cosine formula, but here we use the sine formula for the sake of convenience. We have:

sine(angle measure) = ratio of opposite side over hypotenuse

In detail, sineC = AB/BC

Then, we have: AB = BC x sineC = 15 x sin(36.87 deg) = 9.000002 = ~9 ft

Hope this helps!

8 0

2 years ago

The cable railway was driven by a 8 foot diameter drum that turned 13 revolutions per minute. Find the linear velocity of the ca

slava [35]

Answer:

The linear velocity of the cable ≅ 327 feet per minute.

Step-by-step explanation:

Given that the diameter of the drum = 8 feet

Radius of the drum = $\frac{diameter}{2}$

= $\frac{8}{2}$

= 4 feet

Radius of the drum = 4 feet

1 revolution = circumference of the drum

circumference of the drum = 2 $\pi$ r

where r is the radius.

So that;

circumference of the drum = 2 x $\frac{22}{7}$ x 4

= $\frac{176}{7}$

= 25.143

circumference of the drum = 25.143 feet

The linear velocity of the cable = (13 x 25.143) feet per minute

= 326.859 feet per minute

The linear velocity of the cable ≅ 327 feet per minute.

8 0

2 years ago

Choose the constant term that completes the perfect square trinomial. y 2 + 5y

mr Goodwill [35]

each missing number is the square of half the coefficient of the 1st order term
(5/2)² = 25/4

5 0

2 years ago