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Sveta_85 [38]
3 years ago
15

A shirt is on sale for $42 if this is 4/5 of the original price of the shirt what was the original price of the shirt

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

$52.50

Step-by-step explanation:

42=4x/5

210=4x

x=52 50

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The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,
ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

AC^2 =AB^2 +BC^2  \\  =  {12}^{2} +  {5}^{2}   \\  = 144 + 25 \\  = 169 \\  AC =  \sqrt{169}  \\  \therefore \: AC =  13\: m \\  \\ AC \: is \: the \: diameter \: of \: semicircle \\  \therefore \: r =  \frac{1}{2} \times  AC = \frac{1}{2} \times 13 = 6.5 \: m \\  Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2

8 0
3 years ago
An equilateral triangle is a triangle that has three sides of the same length. the perimeter of an equilateral triangle is 48.6
aleksklad [387]
We know that a triangle has three sides, all the same length (its equilateral, after all)

The equation to find the length of each side is

Perimeter divided by 3

or in this case

48.6 divided by 3=16.2cm (don't forget the unit)

Hope that helps :)
3 0
3 years ago
Read 2 more answers
What is the GCF of two prime numbers?
ehidna [41]
Prime numbers: numbers which only have the factors of themselves and 1.

They include numbers such as 17, 19, 23, etc. These are numbers which only have two factors: such as 17, with the factors only being 17 and 1.

So therefore, this means, that for any two prime numbers, unless they are the same number, the only factor they will share is 1. So therefore the GCF of two prime numbers is 1.

Hope this helped!
4 0
3 years ago
Irreducible fraction of 5600 out of 504 000
Aloiza [94]

Answer:

\frac{1}{90 }

7 0
3 years ago
Find the measure of /_ MFZ
marshall27 [118]

Given:

MZ\cong PZ

m\angle MFZ=(x+9)^\circ

m\angle PFZ=(2x-1)^\circ

To find:

The measure of angle MFZ.

Solution:

In triangles MFZ and PFZ,

m\angle FMZ\cong \angle FPZ           (Right angle)

MZ\cong PZ           (Given)

FZ\cong FZ           (Common side)

\Delta MFZ\cong \Delta PFZ                  (HL congruent postulate)

\angle MFZ\cong \angle PFZ           (CPCTC)

m\angle MFZ=m\angle PFZ

x+9=2x-1

9+1=2x-x

10=x

The value of x is 10.

The measure of angle MFZ is:

m\angle MFZ=(x+9)^\circ

m\angle MFZ=(10+9)^\circ

m\angle MFZ=19^\circ

Therefore, the measure of angle MFZ is 19 degrees.

7 0
2 years ago
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