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Nataly_w [17]
3 years ago
11

Six times the sum of a number and four

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

6*(x+4)

Step-by-step explanation:

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Martin is painting the shed shown. The shed is shaped like a cube. He wants to paint the outside walls of the shed using paint t
laila [671]

Answer:

13

Step-by-step explanation:

7 0
3 years ago
a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used i
cricket20 [7]

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

5 0
3 years ago
A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second. Wh
leonid [27]

Answer:

The maximum height of the particle is 100 ft

A is correct

Step-by-step explanation:

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.

The standard equation of parabolic projectile.

h(t)=-16t^2+v_0t+h_0

where,

v_0=16\ ft/s

h_0=96\ ft

h(t)=-16t^2+16t+96

So, we get the parabolic equation of path.

The maximum value at vertex.

t=-\dfrac{b}{2a}

t=-\dfrac{16}{-32}=\dfrac{1}{2}

Maximum at t=0.5

h(0.5)=-16(0.5)^2+16(0.5)+96

h(0.5)=100

Hence, The maximum height of the particle is 100 ft

4 0
3 years ago
Read 2 more answers
Find the lateral area for the pyramid with the equilateral base.
Dafna11 [192]

Answer:

Option A is the correct answer.

Explanation:

 The given pyramid has 3 lateral triangular side as shown below.

 Base of triangle = 12 unit

 We need to find perpendicular.

  By Pythagoras theorem we have

            Perpendicular² = 10²-6²

           Perpendicular = 8 unit

So area of 1 lateral triangle = 1/2 x Base x Perpendicular.

                                             = 1/2 x 12 x 8 = 48 unit²

Area of lateral side = 3 x 48 = 144 unit²    

Option A is the correct answer.                

7 0
3 years ago
Read 2 more answers
A card is drawn at random from a standard 52-card deck. Events G and A are
kolezko [41]
P(G) is 26/52
P(H) is 8/52
See the rest in the photo

6 0
3 years ago
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