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Lena [83]
1 year ago
6

Question content area top

Mathematics
1 answer:
bonufazy [111]1 year ago
6 0

Answer:

Let b the cost of the manicure

15% of b= 5.10$

15% × b= 5.10$

b= 5.10×100/15

b= 34$

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22. Find the perimeter of the square:<br> 28
sergejj [24]

Answer:

  56√2 ≈ 79.20

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...

  s·√2 = 28

  s = 28/√2

The perimeter is 4 times the side length, so is ...

  P = 4s = 4·28/√2

  = 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator

  = 56√2 ≈ 79.195959

The perimeter of the square is 56√2, about 79.20 units.

7 0
3 years ago
1. A sphere is sliced so that the cross section does not intersect the center of the sphere.
stich3 [128]
1. The shape of cross-section is a circle.
2. The face parallel to ABCD is EFGH. Since this is a a rectangular shape,

A = L*H = 12*6 = 72 cm^2

3. The cross-section parallel to ABC is DEF with h = 12 ft, b= 5ft (where h is the height and b is the base of a right angled triangle).

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4. Plane BDHF is a rectangle shape whose length is the diagonal of ABCD.

Diagonal BD = sqrt (AB^2+BD^2) = sqrt (8^2+7^2) = 10.63 cm.
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8 0
3 years ago
Read 2 more answers
6y - 5x = 5 and x= 2y + 7
jolli1 [7]
Y = -10 and x = -13 (substitute 2y + 7 for x)
5 0
3 years ago
The reciprocal of half a number increased by half the reciprocal of the number is 1/2. Find the number
klemol [59]

Answer:

5

Explanation:

Let the number equal x. Half the number is then

x

2

and the reciprocal of that is

2

x

The reciprocal of the number is

1

x

and half that is

1

2

x

then

2

x

+

1

2

x

=

1

2

4

x

+

x

2

x

2

=

1

2

10

x

=

2

x

2

2

x

2

−

10

x

=

0

2

x

(

x

−

5

)

=

0

Zero is not viable solution as its reciprocal is infinity. The answer is therefore

x

=

5

7 0
3 years ago
Every positive integer is smaller than every negative integer true or false
Evgen [1.6K]
The answer is false. Good luck with other questions!
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