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2 years ago

Find x. Round to the nearest tenth if needed.

Mathematics

2 answers:

alexdok [17]2 years ago

5 0

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

arsen [322]2 years ago

3 0

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

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Factorise the following using the Difference of Two Squares or Perfect Squares rule: a) (2x-2)^2 - (x+4)^2 b) (3x+4) (3x-4)

emmainna [20.7K]

Answer:

Step-by-step explanation:

Hello, please consider the following.

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$(3x+4) (3x-4)\\\\=(3x)^2-4^2\\\\=\boxed{9x^2-16}$

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2 years ago

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Vinvika [58]

Answer:

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2 years ago

A tank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. The tank is full

german

Answer:

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius = 4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out = $\frac{1}{3} \pi R^2 h-\frac{1}{3} \pi r^2 h'$

Here we have r/h is constant always

Hence $\frac{r}{h'} =\frac{R}{h} \\r=Rh'/h = 4(5)/10 = 2$

Substitute to get volume of water pumped out = $\frac{1}{3} \pi (10*16-4*5)=\frac{140\pi}{3}$

Mass of water = density x volume = $62.4(\frac{140\pi}{3})\\= 2912\pi lbs$

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

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6 0

2 years ago

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nevsk [136]

Answer:

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Step-by-step explanation:

6 0

2 years ago

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Anna [14]

Answer:

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Step-by-step explanation:

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3 0

2 years ago