All categories

2 years ago

Area of the painted part

Mathematics

2 answers:

gregori [183]2 years ago

5 0

Answer:

59.73 cm²

Step-by-step explanation:

$2\pi r$

2 × π × 7

2 × 3.14 × 7

43.96 ÷ 4

10.99 cm²

11 cm - 7 cm = 4 cm

$2\pi r$

2 × π × 4

2 × 3.14 × 4

25.12 ÷ 4

6.28 cm²

10.99 cm² + 6.28 cm² = 17.27 cm²

7 cm × 11 cm = 77 cm²

77 cm² - 17.27 cm²

59.73 cm²

kykrilka [37]2 years ago

4 0

Answer:

Step-by-step explanation:

7 + 7 + 11 + 11

You might be interested in

2. You rent a car and are offered 2 payment options. You can pay $25 a day plus $0.15 a mile

vichka [17]

Answer:

>60

Step-by-step explanation:

The difference in miles is 0.25 per mile. Because there is 15$ difference in initial payment then after 60 miles (60x0.25=$15) A will be better option. At $60 A and B are same and lower than B is better

5 0

2 years ago

Find the inverse function of <img src="https://tex.z-dn.net/?f=y%3D3%5E%7Bx-2%7D" id="TexFormula1" title="y=3^{x-2}" alt="y=3^{x

kirill [66]

Step-by-step explanation:

Inverse of

−

Explanation:

−

(

−

)

−

Hence inverse of

−

Observe that each of the function is a reflection of the other in the line

graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}

6 0

3 years ago

I need help with the math test

prohojiy [21]

5
1
-3
These are your answers

8 0

2 years ago

You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3

Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

$h=\frac{504}{lw}$

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides $C_{s}$ = 3[2(l + w)h] = 6(l + w)h

$C_{s}$ = 3[2(l + w)h]

$C_{s}=6(l+w)(\frac{504}{lw} )$

Cost of the top and the bottom $C_{(t,p)}$ = 4(2lw) = 8lw

Total cost of the box C = $3024\frac{(l+w)}{lw}$ + 8lw

= $3024[\frac{1}{l}+\frac{1}{w}]$ + 8lw

To minimize the cost of the sides

$\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0$

$\frac{3024}{l^{2}}=8w$

$\frac{378}{l^{2}}=w$ ---------(1)

$\frac{dC}{dw}=3024(-w^{-2})+8l=0$

$\frac{3024}{w^{2}}=8l$

$\frac{378}{w^{2}}=l$

$w^{2}=\frac{378}{l}$ -------(2)

Now place the value of w from equation (1) to equation (2)

$(\frac{378}{l^{2}})^{2}=\frac{378}{l}$

$\frac{(378)^{2} }{l^{4}}=\frac{378}{l}$

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

$w^{2}=\frac{378}{7.23}$

$w^{2}=52.28$

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

$h=\frac{504}{(7.23)^{2}}$

h = 9.64 cm

6 0

3 years ago

Which statements are truth about exponential decay and functions ? Check all that apply

Alex787 [66]

there is not enough information

8 0

2 years ago

Area of ​​the painted part

Area of the painted part