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prisoha [69]
3 years ago
8

Help me with this thanks​

Mathematics
1 answer:
fredd [130]3 years ago
4 0

Answer:

Volume of composite is 483  mm^3

Step-by-step explanation:

We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):

Volume of the prism = 7 x 12 x 3 mm^3  = 252 mm^3

Volume of the semi-cylinder =  \frac{\pi\,\,R^2\,\,H}{2}  =  \frac{\pi\,\,(3.5)^2\,\,(12)}{2} =230.907 \,\,mm^3

Therefore the sum of both volumes gives:

(252 + 230.907) mm^3 = 482.907  mm^3

WHich can be rounded to the nearest whole number as: 483 mm^3

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Resolve into factor<br><br>p⁴+7p²q²+16q⁴​
dangina [55]

Answer:

15 q4. + 7p2q2 is the correct answer

8 0
3 years ago
Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."
Yuliya22 [10]

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

8 0
2 years ago
A round wading pool has a diameter of 115cm deep. A hose is filling the pool at a rate of 34000cm^3, cubed per minute. How long
inn [45]

Answer:

It will take 6.118 minutes to fill up the pool to a depth of 20 cm

Step-by-step explanation:

The first step is to calculate the volume of the wading pool.

we will assume it is a cylinder, hence the volume will be = \pi r^{2}h

<em>Where r= radius of the pool = 115/2 = 57.5cm</em>

<em>h = depth of the pool =20 cm</em>

The volume of the pool will be \pi \times57.5^{2} \times 20 =2.08 \times 10^{5} cm ^{3}

We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.

To get the time it will take to fill up the pool, we will have to divide as follows:

208,000cm ^{3} / 34000cm^3 =6.118 minutes

Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm

4 0
3 years ago
Which ordered pair would form a proportional relationship with the point graphed below?
zzz [600]

Answer:

( -10, 5 )

Step-by-step explanation:

( i used Desmos, you should try it )

:)

8 0
3 years ago
Read 2 more answers
Which is a possible turning point for the continuous function f(x)? (–3, –4) (–2, –1) (0, –5) (1, –8)
katovenus [111]

Answer:

That would be the point(-2, -1)

Step-by-step explanation:

The graph rises between  (-3, -4) and (-2, -1)  then falls as it passes through the last 2 points ( y = -1 goes to y= -5 and then to y = -8 as x values move to the right).

5 0
3 years ago
Read 2 more answers
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