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Karo-lina-s [1.5K]
3 years ago
14

A company is manufacturing a new ice cube with a hole in the center, which they claim will cool a drink twice as fast as a cube

of the same size. The cube has a length, width, and height of 4 cm. The hole has a diameter of 2 cm. To the nearest tenth, find the surface area of a single cube (including the inside of the hole).
Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0
The new cube will have 7 surfaces: 4 equal square sides, 2 square surface with a hole, and one hole surface.

Area (A1) of 4 square surfaces = 4*L*W = 4*4*4 = 64 cm^2
Area (A2) of the two surfaces wit a hole = 2(L*W - 2πd^2/4) = 2(4*4-π*2^2/4) = 25.72 cm^2
Area (A3) of  the hole = πD*W = π*2*4 = 25.13 cm^2

Total surface area, A = A1+A2+A3 = 64+25.72+25.13 = 114.85 cm^2
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Adam and Kevin are standing 35 metres apart, on opposite sides of a flagpole. From Adam’s position, the angle of elevation of th
Nadusha1986 [10]
1. Lets' call:

 H: The height of the flagpole.
 x: The distance f<span>rom Adam’s position to the flagpole.
</span> y: The distance from Kevin’s position to the flagpole.

 2. So, we have:

 Tan(36°)=H/x ⇒ x=H/Tan(36°)    (i)

 Tan(50°)=H/y ⇒ y=H/Tan(50°)    (ii)

 3. We know that <span>Adam and Kevin are standing 35 meters apart. Then:
</span>
 x+y=35    (iii)

 4. Let's substitute (i) and (ii) in (iii):

 x+y=35
 H/Tan(36°)+H/Tan(50°)=35
 H(1/Tan(36°)+1/Tan(50°)=35

 5. When we clear "H", we obtain:

 H=35/(1/Tan(36°)+1/Tan(50°))
 H=15.79 meters

 How high is the flagpole?  

 The answer is: 15.79 meters
4 0
3 years ago
I need help can yall help me
Licemer1 [7]

Answer:

2{\frac{1}2}t+3}=1

2\frac{1}{2}t+2 * 3=1

t+6=1

t=-5

Step-by-step explanation:

2{\frac{1}2}t+3}=1

2\frac{1}{2}t+2 * 3=1

t+6=1

t=-5

6 0
3 years ago
The area of the triangle above is 21. What is the value of x ?
Veronika [31]

Answer:

Step-by-step explanation:

area = ½×base×height

21 = ½(x+1)x

42 = (x+1)x

x² + x - 42 = 0

(x+7)(x-6) = 0

x = -7, 6

-7 is an extraneous solution, so x = 6

8 0
3 years ago
Find f such that f'(x) = 5x² + 9x - 7 and f(0) = 8.
faltersainse [42]

Answer:

\frac{5}{3}x^3+\frac{9}{2}x^2-7x+8\\

Step-by-step explanation:

Integrate your function with respect to x to get the non-differentiated form.

\int(5x^2+9x-7)dx=\frac{5}{3}x^3+\frac{9}{2}x^2-7x+c\\

Plug in your known value of x to get your value for your constant

f(0) = 8\\ \frac{5}{3}(0^3)+\frac{9}{2}(0^2)-7(0)+c = 8 \\c=8

This gives you your function to be

\frac{5}{3}x^3+\frac{9}{2}x^2-7x+8\\

6 0
3 years ago
Part A
Colt1911 [192]

Answer: The answer would be CD

5 0
4 years ago
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