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3 years ago

Find the value of x 6x + 12 3x - 3

Mathematics

1 answer:

Shalnov [3]3 years ago

3 0

Answer:

19°

Step-by-step explanation:

Concept Used :-

The measure of a straight line is 180°. So the sum of angles on a straight line is 180° .

Using this ,

$\bf\implies 6x + 12 + 3x - 3 = 180\\\\\bf\implies 9x + 9 = 180\\\\\bf\implies 9x = 180-9 \\\\\bf\implies x =\dfrac{171}{9} \\\\\bf\implies\boxed{\red{\bf x = 19 }}$

<h3>Hence the value of x is 19°</h3>

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Help please with work

Dmitrij [34]

Answer:

200.96 ft²

Step-by-step explanation:

The question is on surface area of a closed cylinder

Formulae= SA=2 ×pi× r² + 2×pi×r×h

Where pi=3.14

SA= 2×3.14×2² + 2×3.14×2×14

SA=25.12+175.84

SA=200.96 ft²

4 0

3 years ago

A force of 12 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i

sattari [20]

Answer:

Work done in stretching the spring = 7.56 lb-ft.

Step-by-step explanation:

Normal length of the spring = 8 in or $\frac{8}{12}$ ft

= $\frac{2}{3}$ ft

If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in

= $\frac{11}{12}$ ft

Force applied to stretch the spring = 12 lb

By Hook's law,

F = kx [where k is the spring constant and x = length by which the spring is stretched]

12 = k( $\frac{2}{3}$ )

k = 18

Work done (W) to stretch the spring by $\frac{11}{12}$ ft will be

W = $\int\limits^\frac{11}{12} _0 {kx} \, dx$

= $\int\limits^\frac{11}{12} _0 {(18x)} \, dx$

= $18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0$

= 9( $\frac{11}{12}$ )²

= 7.56 lb-ft

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3 years ago

What is the area of triangle IHC?

madam [21]

Answer:

$28 cm^2$

Step-by-step explanation:

The formula for finding the area of a triangle is:

$\frac{1}{2} bh$

The "b," is the base (7), and the "h," is the height (8):

$\frac{1}{2} (7)(8)$

$\frac{1}{2} (56)$

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3 years ago