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vladimir1956 [14]
3 years ago
12

25 POINTS!

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
-\dfrac12x+3=-x+7

Add -3 to both sides:

-\dfrac12x+3-3=-x+7-3
-\dfrac12x=-x+4

Multiply both sides by -2:

-2\times\left(-\dfrac12\right)x=-2(-x+4)
x=-2(-x+4)

On the right hand side, distribute the -2:

x=2x-8

Add -2x to both sides:

x-2x=2x-2x-8
-x=-8

Divide by -1:

\dfrac{-x}{-1}=\dfrac{-8}{-1}
x=8

(and not x=-8, unless the original equation wasn't correctly written/interpreted?)
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A surveying team set up some equipment 104104 ft from the base of a tree in order to sight the top of the tree. From ground leve
jarptica [38.1K]

Answer:

Relative error = 0.0254 %

Step-by-step explanation:

Given details

Height of equipment from base is 104 ft

Elevation angle is 27.5 degree

From figure we have

tan\theta = \frac{x}{104} .........1

tan(27.5) = \frac{x}{104}

x  = 54.13 ft

differentiating 1st eq wrt x

\frac{d}{dx} tan\theta = \frac{d}{dx} [\frac{x}{104}]

sec^2\theta \frac{d\theta}{dx} = \frac{1}{104}

Taken d\theta \ as \Delta x \ and\  dx = \Delta x for minute change

\Delta x = 1.5% x

             = 0.015 \times 54.13 = 0.8119 ft

from sec^2 \theta \frac{d\theta}{dx} = \frac{1}{104}

     \Delta \theta = \frac{1}{104 sec^2 \theta} \Delta x

\Delta \theta = \frac{1}{104 \times 1.115} 0.8119

\Delta \theta  = 0.007

Reltaive error= \frac{\Delta \theta}{\theta} \times 100

                      = \frac{0.007}{27.5}\times 100

Relative error = 0.0254 %

4 0
4 years ago
Where is the point 7-10 located in the coordinate plane ?
Gemiola [76]

Answer:

B) In Quadrant IV

Step-by-step explanation:

You move 7 units to the right on the x-axis. Then you move 10 units down the y-axis. The point will then land on quadrant IV.

5 0
3 years ago
A bookstore had 120 copies of a magazine. Yesterday the bookstore sold 2/3
Mkey [24]

Answer:

80 magazines sold

Step-by-step explanation:

120*2/3=80

5 0
2 years ago
Is the number of statistic students now reading a book a discrete random variable, a continuous random variable, or not a random
Dafna11 [192]
A discrete random value
3 0
3 years ago
Read 2 more answers
Help with simultaneous equations!! <br>Plz could you help me work these 3 questions out. Thanks.
garik1379 [7]
To solve these types of questions, all what you need to do is simply solve for any one of the variables provided above and substitute the solved variable for the other equation. For instance in the first example:

X/2 - 2y = 5
12y + X - 2 = 0

X = 2 - 12y

(2 - 12y)/2 - 2y = 5
(2 - 12y)/2 = 2y + 5
2 - 12y = 2(2y + 5)
2 - 12y = 4y + 10
16 y + 8 = 0
16y = -8
Y =-8/16 = -1/2.

X = 2 - 12(-1/2)
X = 2 + 6
X = 8.

P(X, y) = P(8, -1/2).

Do the same method, for the other questions, except simplify them before doing so.
8 0
3 years ago
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