ILL MAKE U BRAINLIEST

EleoNora [17]

9514 1404 393

Answer:

34.58 in

Step-by-step explanation:

Relative to the angle marked in this right triangle, the side given is the "adjacent" side, and the side length wanted is that of the hypotenuse. The relevant trig relation is ...

Cos = Adjacent/Hypotenuse

Solving for the hypotenuse, we get ...

NP = (29 in)/cos(33°) ≈ 34.58 in

3 0

3 years ago

Find the distance between each point

mart [117]

Answer:

17. 5

18. 9

19. 8

20 8

Step-by-step explanation:

8 0

3 years ago

A prism has three rectangular faces. It's other faces are in the shape of a _____.

Stells [14]

Answer:

Rectangle or parallelogram

4 0

3 years ago

AREA, PERIMETER & VOLUME QUESTION

MrRissso [65]

Answer:

1. Case B

2. 9 cm³

3. 20 cm.

4. 4.5 m³

Step-by-step explanation:

Question 1: We are required to fit a drum having volume 14,000 cm³.

We know that the volume of cylinder = πr²h, where r is the radius and h is the height. So, according to the cases:

A. Here, r = 100 mm = 10 cm, h = 300 mm = 30 cm.

So, volume of the drum = πr²h = $\pi \times 10^{2} \times 30$ = 9424.78 cm³.

We cannot put the given drum inside this drum.

B. Here, r = 200 mm = 20 cm, h = 30 cm.

So, volume of the drum = πr²h = $\pi \times 20^{2} \times 30$ = 37699.11 cm³.

C. Here, r = 32 cm, h = 250 mm = 25 cm.

So, volume of the drum = πr²h = $\pi \times 32^{2} \times 25$ = 80424.77 cm³.

Out of options B and C, the smallest volume is in CASE B i.e. 37699.11 cm³.

So, Case B is the correct option.

Question 2: We have the dimensions of the speaker as,

Length = 45 cm = 0.45 m, Width = 0.4 m, Height = 50 cm = 0.5 m

Now, Volume of a cuboid = L×W×H

Thus, volume of the speaker = 0.45 × 0.4 × 0.5 = 0.09 m³ = 9 cm³.

Question 3: We have that the volume of the speaker is 30,000 cm³.

Also, Length = 30 cm = 0.45 m, Height = 500 mm = 50 cm.

So, volume of the speaker = L×W×H

i.e. 30,000 = 30 × W × 50

i.e. W = $\frac{30,000}{1500}$

i.e. W = 20 cm.

Hence, the width of the speaker is 20 cm.

Question 4: We have the dimensions as,

Base= 2 m, Length = 3 m, Height = 1.5 m

So, the volume of prism = $\frac{base\times height}{2} \times length$

i.e. Volume = $\frac{2\times 1.5}{2} \times 3$

i.e. Volume = 4.5

Thus, volume of the sand needed to be filled is 4.5 m³.

7 0

4 years ago

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the

Flauer [41]

Answer:

Height is 135 ft

Step-by-step explanation:

Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.

Then we can use the Pythagorean theorem to solve for the height (h):

h^2 + (h - 51)^2 = (h + 24)^2

h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576

grouping all terms on the left of the equal sign, we get:

h^2 -150 h + 2025 = 0

This gives two possible answers:

h = 135

and

h = 15

We opt for h = 135, because the other solution will render a negative leg for the triangle.

7 0

3 years ago