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Delvig [45]
2 years ago
15

Determine the value of x for the following equation. 3(-9 - 4x) -4 = 8x -9(x + 12)

Mathematics
2 answers:
Makovka662 [10]2 years ago
4 0

Answer:

-77/13

Distribute 3 to the ones in the parenthisis  and do the same to the other side and distribute the negative nine. solve what is left and subtract the two terms and simply solve whats next.

Morgarella [4.7K]2 years ago
4 0
Answer: x = 7
3(-4x - 9) - 4 = 8x - 9(x + 12)
-12x - 27 - 4 = 8x - 9x - 108
-12 x - 31 = -x - 108
Add 31 on both side
-12x - 31 + 31 = - x - 108 + 31
-12x = -x - 77
- x from both said
-12x + x = -x -77 + x
-11x = -77
Divide both side of the equation by the same factor
-11x/-11 = -77/-11
X= 7
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egoroff_w [7]

Step-by-step explanation:

1. Use the Pythagorean theorem to solve for side KM:

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2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34

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8 0
3 years ago
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Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale
valkas [14]

Answer:

The specific weight is 1.5\frac{g}{cm^{3}}

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

LA=\pi rl

we have

LA=255\pi\ cm^{2}

l=17\ cm

substitute the values

255\pi=\pi r(17)

Simplify

255=r(17)

r=255/(17)=15\ cm

step 2

Find the height of the cone

Applying the Pythagoras Theorem

l^{2} =r^{2} +h^{2}

substitute the values and solve for h

17^{2} =15^{2} +h^{2}

h^{2}=17^{2}-15^{2}

h^{2}=64

h=8\ cm

step 3

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

substitute the values

V=\frac{1}{3}\pi (15)^{2}(8)

V=600\pi\ cm^{3}

step 4

Find the specific weight

Divide the mass by the volume

\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}

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