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irina [24]
3 years ago
8

How do you write 519 3/10 in decimal

Mathematics
1 answer:
lukranit [14]3 years ago
6 0

Answer:

519.03

Step-by-step explanation:

divide 3 by 10

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4(x+9)=8x-7<br> Solve for x
valentina_108 [34]

Answer:

x = 10.75

Step-by-step explanation:

4(x+9)=8x-7

Step 1: Distribute the 4 to the x and 9

4 * x = 4x

4 * 9 = 36

We now have 4x + 36 = 8x - 7

Step 2: add 7 to both sides

36 + 7 = 43

-7 + 7 cancels out

We now have 4x + 43 = 8x

Step 3 subtract 4x from both sides

4x - 4x cancels out

8x - 4x = 4x

We now have 4x = 43

step 4 divide both sides by 4

4x / 4 ( the 4s cancel out and we're left with x )

43/4 = 10.75

We're left with x = 10.75

3 0
2 years ago
How do you do this promblem?
Sladkaya [172]
I don’t know but I need to answer a question so this is my answer
7 0
3 years ago
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Find f · dr c for the given f and
ruslelena [56]
Parameterize the path \mathcal C by

\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j

with

x(t)=3\cos t
y(t)=3\sin t

and 0\le t\le\pi. Then

\displaystyle\int_{\mathcal C}\mathbf f(x,y)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=\pi}\mathbf f(x(t),y(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt
=\displaystyle\int_0^\pi(9\cos^2t\,\mathbf i+9\sin^2t\,\mathbf j)\cdot(-3\sin t\,\mathbf i+3\cos t\,\mathbf j)\,\mathrm dt
=27\displaystyle\int_0^\pi(\cos t\sin^2t-\sin t\cos^2t)\,\mathrm dt=-18
5 0
3 years ago
The area of a rectangle is 24 square centimeters. The length (X), in centimeters of the rectangle is given by the equation x2 +
Allisa [31]

The length of the rectangle is 3 cm

<h3>Applications of Quadratic equations</h3>

From the question, we are to determine the value of the length of the rectangle

To find the length of the rectangle, we will determine the value of x in the given equation

The given equation is

x^{2} + 5x =24

This can be written as

x^{2} +5x -24 =0

Factorizing

x^{2} +8x - 3x -24 = 0

x(x+8) -3(x+8)=0

(x-3)(x+8)=0

Then,

x-3 = 0 OR x + 8 = 0

x = 3 OR x = -8

Since, the length of the rectangle cannot be negative, the value of x is 3.

Hence, the length of the rectangle is 3 cm.

Learn more on solving quadratic equations here: brainly.com/question/8649555

8 0
2 years ago
A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose
bija089 [108]

Answer:

a). Horizontal distance = 11.1 m

b). Maximum height = 6.2 m

c). Firefighter is 13.7 m from the house

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Height of the water can be determined by the expression,

h(x) = -0.026x²+ 0.577x + 3

Here x = Horizontal distance of the from the firefighter

a). Since the stream of the water will follow a parabolic path, maximum point of the parabola will be = Vertex of the parabolic path

Horizontal distance from the firefighter at which the water achieves the maximum height = -\frac{b}{2a}

From the quadratic function,

h(x) = -0.026x²+ 0.577x + 3

a = -0.026

b = 0.577

Therefore, the horizontal distance = -\frac{0.577}{2\times (-0.02612)} = 11.05 m

                                                         ≈ 11.1 meters

b). By putting x = 11.1 in the quadratic equation,

    h(x) = -0.02612(11.1)²+ 0.577(11.1) + 3

           = -3.2182 + 6.4047 + 3

           = 6.18 m

           ≈ 6.2 m

c). For h(x) = 6 m

    6 = -0.02612x² + 0.577(x) + 3

    0.02612x² - 0.577x + 3 = 0

    From quadratic formula,

    x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

    x = \frac{0.577\pm \sqrt{(-0.577)^2-4(0.02612)(3))}}{2(0.02612)}

    x = \frac{0.577\pm\sqrt{0.019489}}{0.05224}

    x = \frac{0.577\pm0.1396}{0.05224}

    x = 13.7 m, 8.37 m

Therefore, the farthest distance of the firefighter from the house will be 13.7 m

8 0
2 years ago
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