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3 years ago

12

Three times the sum of a number and two is equal to -9.

1 answer:

Svetllana [295]3 years ago

8 0

Answer:

:(

Step-by-step explanation:

use a equation calculator it really helps

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A three inch diameter pulley on an electric motor that runs at 1800

Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:

$V=R\omega$

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

$\omega_1 R_1 = \omega_2 R_2\\$

$\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM$

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

$\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}$

$\omega_2 = 5654.7 \frac{radians}{min}$

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0

3 years ago

What is the surface area of the triangular prism?

eduard

Answer:

The answer is the third

The surface area of prism = 81 ft²

Step-by-step explanation:

∵ The triangular prism has 5 faces

- Two triangles ⇒ bases

- 3 rectangles ⇒ side faces

* to find the surface area of it, we will find the area of

each face and add them together

- Area of bases:

∵ The bases are right angle triangles with base 6 ft and height 4.5 ft

∵ Area triangle = 1/2 × base × height

∴ Area one base = 1/2 × 6 × 4.5 = 13.5 ft²

∴ Area two bases = 13.5 × 2 = 27 ft² ⇒ (1)

- Area of the first rectangle with dimensions 3 ft and 6 ft

∵ Area rectangle = L × W

∴ Area 1st rectangle = 3 × 6 = 18 ft² ⇒ (2)

- Area of the second rectangle with dimensions 3 ft and 7.5 ft

∴ Area 2nd rectangle = 3 × 7.5 = 22.5 ft² ⇒ (3)

- Area of the third rectangle with dimensions 3 ft and 4.5 ft

∴ Area 3rd rectangle = 3 × 4.5 = 13.5 ft² ⇒ (4)

Add (1) , (2) , (3) and (4)

∴ The surface area of prism = 27 + 18 + 22.5 + 13.5 = 81 ft²

8 0

3 years ago

Read 2 more answers

The Goodsmell perfume company has a new line of perfume and is designing a new bottle for it. Because of

Alex777 [14]

Answer:

its to long for me

Step-by-step explanation:

5 0

3 years ago

The greatest common factor of the following monomials. 46x^5. 10x^3

Blizzard [7]

$46x^5 \times 10x^3$

$= 2x^3 (23x^2 \times 5)$

-------------------------------------
Answer: GCF = 2x³
-------------------------------------

8 0

3 years ago

The measure of a right angle plus the measure of a right angle equals the measure of a blank angle

d1i1m1o1n [39]

Answer: A straight angle

Step-by-step explanation:

90 + 90 = 180

5 0

2 years ago