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2 years ago

If Peter pays $84 to buy a watch after discount of 20% find the original price of the watch

Mathematics

1 answer:

Kamila [148]2 years ago

6 0

Answer:

$100.80

Step-by-step explanation:

84 x 1.2 = 100.8

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4sin^2 + 13cos^2 = 7. Find cos <br><br> Please read the picture question carefully and help !!

Vanyuwa [196]

4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian

Hope it helped!

5 0

3 years ago

A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos

andrezito [222]

Answer:

x = 1,5 cm

h = 6 cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b) = 13,5 cm³

Aea of the top is equal to area of the base,

Let call " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h (where h is the high of the box)

And volume of the box is 13,5 cm³ = x²*h

Then h = 13,5/x²

Side area is : A₂ = x* 13,5/x²

A(b) = A₁ + A₂

Total area of the box as functon of x is:

A(x) = 2*x² + 4* 13,5 / x

And finally cost of the box is

C(x) = 10*2*x² + 2.50*4*13.5/x

C(x) = 20*x² + 135/x

Taking derivatives on both sides of the equation:

C´(x) = 40*x - 135*/x²

C´(x) = 0 ⇒ 40*x - 135*/x² = 0 ⇒ 40*x³ = 135

x³ = 3.375

x = 1,5 cm

And h = 13,5/x² ⇒ h = 13,5/ (1,5)²

h = 6 cm

C(min) = 20*x² + 135/x

C(min) = 45 + 90

C(min) = 135 $

8 0

3 years ago

The angle looking up at the sun is 70°. A flagpole casts a shadow of 15 ft. Draw a diagram and find the height of the flagpole

deff fn [24]

Answer:

The length of the flagpole be 41.2 ft .

Option (A) is correct .

Step-by-step explanation:

As given

The angle looking up at the sun is 70°.

A flagpole casts a shadow of 15 ft .

Now by using the trignometric identity .

$tan \theta = \frac{Perpendicular}{Base}$

$\ theta = 70^{\circ}$

$tan\ 70^{\circ} = \frac{AB}{BC}$

BC = 15 ft

tan 70° = 2.75 (Approx)

$2.75 = \frac{AB}{15}$

AB = 2.75 × 15

= 41.2 ft

Therefore the length of the flagpole be 41.2 ft .

Option (A) is correct .

4 0

3 years ago

Read 2 more answers

What is the first step in evaluating the expression shown below?

zysi [14]

Answer:

the answer is A

Step-by-step explanation: because the way you work out problems with parenthesis is Parenthesis Exponents Multiplication Division Adding Subtraction and what ever id in the parenthesis comes first

5 0

3 years ago

Read 2 more answers

What are the unit rates? FOR ALL OF THEM.

kykrilka [37]

<span>Francios $19.48 per hour Carissa $14 per hour Garrick $19.04 per hour Arianne $25.71 per hour</span>

7 0

2 years ago

If Peter pays $84 to buy a watch after discount of 20% find the original price of the watch​

If Peter pays $84 to buy a watch after discount of 20% find the original price of the watch