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2 years ago

NEED HELP ASAP

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

5 0

Answer:

Step-by-step explanation:

Edge 2021

Sonbull [250]2 years ago

3 0

Answer:

10,244 pounds

Step-by-step explanation:

|R|= √(7,500+10,000cos110)²+(10,000sin110)²

|R|= about 10,244 pounds

thats how i did it :I

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I want to know the question 3 plwsase

konstantin123 [22]

For #3 you first need to know how many inches = a foot and 12 inches = a foot. So The answer would be for feet. The sentence would say, 3 feet. For the teacher you first need to know how many inches is your teacher desk. My teacher's desk is 36 inches. Since 12 inches equal a foot, we can divide 36 by 12 and we would get 3. So for mine my teacher's desk would be equal to 3 foot. The sentence would be: 3 foot. Together the complete sentence is: 3 rulers or 3 feet.

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3 years ago

Solve using dristibutuve law (35×4+35×6)

prohojiy [21]

Answer:

Step-by-step explanation:

Distributive property = a*(b + c) = a*b +a*c

35 * 4 + 35 * 6 = 35 *( 4+6)

= 35 * 10

= 350

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3 years ago

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How many times can 24 go into 48

zysi [14]

48 ÷ 24 = 2
24 goes into 48 2 times.

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3 years ago

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A spherical iron ball 10 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 15 St

seraphim [82]

Answer:

a) Rate at which the thickness of the ice is decreasing, da/dt = -0.024 in/min

b) Rate at which the outer surface area is decreasing, dA/da = -4.22 in²/min

Step-by-step explanation:

The volume of the sphere, V = 4/3 πr³

The thickness of the ice = a

inner diameter = 10 in

inner radius = 10/2 = 5 in

outer radius = 5 + a

Therefore, volume of ice = volume of the outer radius - volume of the inner radius

V = 4/3 π (4+a)³ - 4/3 π4³

V = 4/3 π ( 4³ + 12a² + 48a + a³ -4³)

V = 4/3 π(a³ + 12a² + 48a)

dV/dt = 4/3 π (3a²da/dt + 24ada/dt + 48da/dt)

dV/dt = 4π(a²da/dt + 8ada/dt + 16da/dt)..............(1)

When a = 3 in, dV/dt = -15 m³/min

Substitute these values into equation (1)

-15 = 4π(9da/dt + 24 da/dt + 16da/dt)

-15/4π = 49da/dt

-1.194 = 49da/dt

da/dt = -1.194/49

da/dt = -0.024 in/min

b) How fast is the outer surface area of ice decreasing

The area of a sphere, A = 4πr²

The outer surface area of the sphere, A = 4π(4+a)²

dA/da = 8π (4+a) da/dt

a = 3 in, da/dt = -0.024 in/min

dA/da = 8π(4+3)*(-0.024)

dA/da = -4.22 in²/min

8 0

3 years ago

A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

monitta

Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=6\ cm$

$h=12\ cm$

substitute

$V=\frac{1}{3}\pi (6)^{2}(12)$

$V=144\pi\ cm^{3}$

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

$V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}$

therefore

The portion of the volume of the cup that is filled with water is

$\frac{1}{8}$

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2 years ago

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