All categories

2 years ago

I need help with this question please

Mathematics

1 answer:

Verizon [17]2 years ago

5 0

Answer:

85 cm

Step-by-step explanation:

the strut forms a right triangle with the end of the pole.

let the ends of the strut be x from the top of the pole . then

using Pythagoras' identity with 2 legs x and hypotenuse 1.2

x² + x² = 1.2²

2x² = 1.44 ( divide both sides by 2 )

x² = 0.72 ( take square root of both sides )

x = $\sqrt{0.72}$ ≈ 0.85 m ( to 2 dec. places )

the ends are 0.85 m = 85 cm from the top of the pole

You might be interested in

The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.

Sergio [31]

Answer:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Step-by-step explanation:

Please, always share the instructions with every question you post. I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x. Note that there must be 5 such terms.

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

Multiplying this out, we get:

f(x) = (x + 2)(x^2 - 1)(x - 3), or

f(x) = (x^3 - x + 2x^2 - 2)(x - 3), or:

f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:

f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6

Combining like terms, we get:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4. As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.

5 0

4 years ago

A student throws a heavy ball downward off the top of a building with a speed of 18m/s. The ball reaches a speed of 41m/s just b

DedPeter [7]

Complete question:

A student throws a heavy ball downward off the top of a building with a speed of 18m/s. The ball reaches a speed of 41m/s just before striking the ground. Neglect drag, find the height of the building.

Answer:

The height of the building is 69.235 m

Step-by-step explanation:

Given;

initial velocity of the ball, u = 18 m/s

final velocity of the ball, v = 41 m/s

The height of the building is equal to distance traveled by the ball downward.

Apply the following kinematic equation;

v² = u² + 2gh

where;

g is acceleration due to gravity

h is height of the building

41² = 18² + 2(9.8)h

1681 = 324 + 19.6h

19.6h = 1681 - 324

19.6h = 1357

h = 1357 / 19.6

h = 69.235 m

Therefore, the height of the building is 69.235 m

4 0

3 years ago

Adjacent Angles:<br><br>Answer:

lakkis [162]

Hey there!

Adjacent angles are two angles that are connecting, or adjoining. They have a common vertex and a common side, but they DO NOT overlap.

Hope it helps and have a great day!!!!

5 0

3 years ago

At 12 noon, Leslie recorded the temperature as 56 degrees. The temperature had increased by 8 degrees from 10 am. The temperatur

BaLLatris [955]

Answer:

Step-by-step explanation:

if it was 56 at noon and it had increased by 8 the you do 56-8 and get 48 then you add 2

4 0

3 years ago

Whats the perimeter and area of this shape?

stich3 [128]

Answer:

Step-by-step explanation:

5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.

8 0

3 years ago

Read 2 more answers