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Alex787 [66]
3 years ago
6

Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi

ssing side length to a reasonable level of accuracy, explain your decision.

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

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Find the period of an electromagnetic wave of wavelength 2.20 × 10–2 m. A. 1.36 × 1010 s c. 7.33 × 10–11 s b. 4.54 × 101 s d. 6.
vovangra [49]

Answer:

7.33 * 10^-11 s

Step-by-step explanation:

Period, T = 1 / f

c = fλ

λ = 2.20 × 10^–2 m

c = speed of light = 3 * 10^8 m

f = c / λ

f = 3 * 10^8 ÷ 2.20 × 10^–2 m

f = (3/2.2) * 10^(8-(-2))

f = 1.364 * 10^10

T = 1/f

T = 1 / 1.364 * 10^10

T = 7.33 * 10^-11 s

4 0
3 years ago
What are the x- and y-intercepts of −6x+4y=96 ?
ankoles [38]
* intercepts "x" --> y=0

-6x  + 4(0) = 96
-6x = 96
x = - \frac{96}{6}

x = 16  

(16,0)

*intercepts "y" --> x=0

-6(0) + 4y = 96
4y = 96
y = \frac{96}{4}

y = 24

(0,24)
3 0
3 years ago
Masud makes 8 gallons of punch. How many cups of punch does he make?
PIT_PIT [208]

Answer:

Step-by-step explanation:

Its 1gallon= 4 quarts because 8 gallons is 128 cups and 128 cups makes 4 quarts

3 0
3 years ago
What is the LCM of 10 and 15?
dexar [7]

30

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
On awall of dimension10.5m long and 8.5 m wide, a square shaped wall posture is stuck at the centre whose one side measures2.5m.
tangare [24]

Answer:

₹996

Step-by-step explanation:

Area painted = area of wall - area of wall posture

Area of a rectangle = length x breadth

= 10.5m x 8.5m = 89.25m^2

Area of a square

length x length

2.5m x 2.5m = 6.25m^2

Area painted =  89.25m^2 -  6.25m^2 = 83m^2

Total cost of area painted = 83m^2 x 12 = 996

4 0
3 years ago
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