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3 years ago

What is the answer of the question below

Mathematics

2 answers:

valentinak56 [21]3 years ago

5 0

I also got 96 but I'm not 100% confident

ANTONII [103]3 years ago

3 0

Im not sure if its right but i got 96 tiles

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baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

A manufacturer of screened sweatshirts includes a shipping charge of $5.99 on all online orders. Customers also pay 2.5% tax on

ankoles [38]

Answer:

t = 1.025c + 5.99

Step-by-step explanation:

Recall : general for of a linear equation is given by :

y = mx + c

Given the following :

Item cost = c

Shipping charge = $5.99

Tax on purchases = 2.5%

Total cost, t

t = c + tax + shipping cost

Tax on purchase : 2.5% * item cost ; 0.025c

Shipping = $5.99

Hence,

Total cost, t = c + 0.025c + 5.99

t = 1.025c + 5.99

8 0

3 years ago

*Please help and explain Chebyshev's Theorem in answer.*

Leviafan [203]

Answer:

56%

Step-by-step explanation:

4 0

3 years ago

Katie lunch cost 17 dollars without tax she leaves the waiter a tip of 18 percent of the cost of the lunch without tax what is t

AveGali [126]

Answer:

$20.06

Step-by-step explanation:

17 x 0.18 = 3.06 Multiply the cost by the tip percent

17 + 3.06 = $20.06 Add the tip amount to the original cost

7 0

3 years ago

What’s the Slope of the line through (-2,5) and (8,-3)

HACTEHA [7]

(5 + 3) / (-2 -8) = 8/-10 = -4/5

4 0

3 years ago