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bezimeni [28]
3 years ago
14

What is The value of X?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

Step-by-step explanation:

a) x=24

b) x=20

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Lucy has a strawberry lace that is 36cm long. She needs pieces 18mm long to decorate a cake. How long is the 36cm one in mm
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The strawberry lace is 36 cms long.
36 cms = 360 mm
(Because we multiply by 10, when we convert from cm to mm).
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1. When given the expression 5^3, what should you do to solve?
UNO [17]

Answer:

its b) 5×5×5

Step-by-step explanation:

a) 5×3 is 15

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c) 3×3×3×3×3 = 3^5 or in simple form its 243

You should solve 5^3 as

= 5×5×5

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What does -15x + 39 equal
Anna [14]

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2 years ago
Solve the right triangle. 34.5 Find the length of the side opposite to the given angle. (Round your answer to two decimal places
lapo4ka [179]

Answer:

a) 388.03

b) 148.49

c) π/8

Step-by-step explanation:

Find the diagram attached

Let the opposite side be y

Given

a) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

sin theta = opposite/hypotenuse

sin 67.5 = y/420

x = 420sin67.5

x = 420(0.9238)

x = 388.03

Hence the length of the side opposite to the given angle is 388.03

b) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 67.5 = x/420

x = 420cos67.5

x = 420(0.3827)

x = 148.49

Hence the length of the side adjacent to the given angle is 148.49

c) The sum of angle in the triangle is π

Let the measure of the unknown angle be z

z + 3π/8 + π/2 = π

z + 3π+4π/8 = π

z + 7π/8 = π

z = π - 7π/8

z = (8π-7π)/8

z = π/8

Hence the measure of the other acute angle is π/8

5 0
2 years ago
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