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ValentinkaMS [17]
2 years ago
10

The area of a triangle is 142cm2. Two sides of the triangle measure 24cm and 38cm. What is the measure of the included angle bet

ween the side, approximated to 1 decimal place?
Mathematics
1 answer:
loris [4]2 years ago
8 0

Answer:

C = 18.1°

Step-by-step explanation:

A = 142 m²

a = 24 cm, b = 38 cm

Use the formula A = a*b*sinC/2

142 = 24 * 38 * sinC/2 = 456*sinC

sinC = 0.3114

C = 18.1°

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The bar between the numerator and denominator of a fraction represent division.
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Which situation can be represented by 16 x 4?
Alex787 [66]

Answer:

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6 0
2 years ago
A rectangular turtle aquarium is 6 ft long by 4 ft wide. The aquarium is enlarged by increasing
My name is Ann [436]

Answer:

8ft x 6ft

Step-by-step explanation:

For this problem, we want to create measurements of length and width that double our current area.  First we need to find the current area.

C_Length = 6 ft

C_Width = 4 ft

C_Area = C_Length * C_Width

C_Area = 6 ft * 4 ft = 24 ft^2

Now we want our new area to be double the old area.

N_Area = 2C_Area

N_Area = 2 * 24 ft^2

N_Area = 48 ft^2

Now we simply need to find the increase in width and length, distributed equally, that will create the new area.

N_Area = (C_Length + x) * (C_Width + x)

Where x is the amount that each variable is increased by to create the new area.

Now we simply solve for x.

N_Area = (C_Length + x) * (C_Width + x)

48 = (6 + x) * (4 + x)

48 = 24 + 10x + x^2

0 = -24 + 10x + x^2

Now we can either apply the quadratic formula or attempt to factor using the constant break down method.

(x + 12) (x - 2) = 0

x = -12; x = 2

Note that we will choose x = 2 since the other option would require us to have negative material, which is impossible.

Now we can check to validate our answer by plugging in the value of x.

48 ?= (6 + 2) * (4 + 2)

48 ?= (8) * (6)

48 == 48

Thus, we have found the dimensions of the new aquarium, 8ft x 6ft.

Cheers.

6 0
3 years ago
Will give brainliest!
romanna [79]
In lines y=mx+b, for them to be parallel they must have the same slope, m, in the equation of the line...

y=4x+1 and y=-4x+5  not parallel

y=x-2 and y=x-1  these lines are parallel

y=x/4+2 and y=x/2+2  not parallel

y=x/5+1 and y=-x/5+2 not parallel
6 0
2 years ago
Read 2 more answers
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