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Flauer [41]
3 years ago
15

4a − 3 = 9 + a..........................

Mathematics
1 answer:
OverLord2011 [107]3 years ago
7 0

Answer:

4a - 3 = 9 + a \\ 4a  - a = 9 + 3 \\ 3a = 12 \\ a  = \frac{ 12}{3}  \\ a = 4

I hope this help

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20 points! will mark brainliest!
Anestetic [448]

Answer:

Height of Tower = 41.8901 ft

Base to Ground Wire = 94.0905 ft

Step-by-step explanation:

So you want to find the opposing side of the angle, as well as the distance from the base to where the wire is attached to the ground. You would need to use CAH to find the ground, and SOH to find the height. To find the height or opposite, take the Sine of 24°, 0.4067, and times it by your hypoteneuse 103 to get an exact height of 41.8901 ft. Next, use the Cosine of 24°, 0.9135, and times that by your hypoteneuse 103 to get 94.0905 ft.

Here are the equations:

sin(24)=\frac{h}{103}

cos(24)=\frac{h}{103}

3 0
3 years ago
Line A passes through the points (-5, 1) and (5, 11).
11111nata11111 [884]
Line A:m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 1}{5 - (-5)} = \frac{10}{5 + 5} = \frac{10}{10} = 1
y - y₁ = m(x - x₁)
 y - 1 = 1(x - (-5))
 y - 1 = 1(x + 5)
 y - 1 = 1(x) + 1(5)
 y - 1 = x + 5
   + 1       + 1
       y = x + 6

Line B:m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{20 - (-1)}{-3 - 4} = \frac{20 + 1}{-7} = \frac{21}{-7} = -3
   y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
   y + 1 = -3(x) + 3(4)
   y + 1 = -3x + 12
       - 1          -    1
         y = -3x + 11

y = x + 6
y = -3x + 11

     x + 6 = -3x + 11
+ 3x        + 3x
   4x + 6 = 11
         - 6   - 6
         4x = 5
          4     4
           x = 1¹/₄
           y = x + 6
           y = 1¹/₄ + 6
           y = 7¹/₄
     (x, y) = (1¹/₄, 7¹/₄)

The answer is B.
4 0
4 years ago
What is the area of the shaded region?​
olga_2 [115]
It’s 4pi-(2•3) =6.5663 roughly
5 0
4 years ago
Read 2 more answers
Simplify the equation ( 3(3) × 3 (4) ) ÷ 3 (2)​
aksik [14]

Answer:

(3(3) × 3(4) ) ÷ 3(2)

(9 × 12) ÷ 6

108 ÷ 6

18

3 0
2 years ago
Read 2 more answers
The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5
Arada [10]

Answer:

Width = 15 inches             Length = 20 inches

Step-by-step explanation:

The area of a rectangle is calculated using the following formula.

A = Lx   (1)

Where L is the length and x is the width of the rectangle

In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:

L = x + 5   (2)

Also The area of a rectangle can be represented by the equation x^2 + 5x = 300

so to find the width x we solve the equation

x^2 + 5x -300=0   (3)

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:

a=1\\b=5\\c=-300

Then:

x=\frac{-5\±\sqrt{(5)^2-4(1)(-300)}}{2(1)}

x=\frac{-5\±\sqrt{25+1200}}{2}

x=\frac{-5\±\sqrt{1225}}{2}

x=\frac{-5\±35}{2}

x_1=\frac{-5+35}{2}  →  x_1=15

x_2=\frac{-5-35}{2}  →   x_2=-20

We take the positive solution x=15\ in

Now we use equation (2) to find L

L = x + 5

L = 15 + 5

L = 20\ in

8 0
4 years ago
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