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ddd [48]
3 years ago
12

6у — 10+ 6у + 10=180​

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0

Answer: y = 15

Step-by-step explanation:

6y - 10 + 6y + 10 = 180

    + 10          - 10     -10 +10

12y = 180

12y/12 = 180/12

y = 15

               

DiKsa [7]3 years ago
8 0

Answer:

y = 15

Step-by-step explanation:

1st group like terms 6y+6y-10+10=180

2nd add similar elements: 6y+6y=12y

        -10 + 10  = 0

3rd Divide both sides by 12: 12y ÷ 12 = 180 ÷ 12

4th simplify: y = 15

Hope I helped :)

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The diameter of a circle is 8 feet. What is the angle measure of an arc a feet long?
fiasKO [112]

Answer:

Given: circle

diameter = 10 cm => radius (R) = 5 cm

Find: measure of angle bounding sector = 11 π sq. cm.

Plan: determine what part of the circle’s total area equals the sector’s area.

Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.

Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25

Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.

C = 2 π R = 2 π (5) = 10 π cm

Sector Arc = measure of sector angle = 11/25 (10 π) =

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Answer: Sector Arc = 22π/5 Radians

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2 years ago
What base-ten number is 14 tens and 4 ones?¿
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7 0
3 years ago
A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func
UNO [17]
Let    x refers to the Month numbers
And  y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ <span>Plot <span>the data pairs (<span>x<span>, <span>y<span>) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ </span></span></span></span></span></span><span>Draw <span>the parabola you think best fits the data.
                             Which is the red function in the attached figure.

</span></span><span><span>Third step         ⇒</span> Estimate <span>the coordinates of three points on the
<span>                             parabola, which are (2, 108), (4, 68), and (6, 75).</span>
                             </span></span><span><span>which are the black squares in the attached figure</span>

Fourth step       ⇒ </span><span>Substitute <span>the coordinates of the points into the<span> model <span>
                            y <span>= <span>ax<span>2 <span>+ <span>bx <span>+ <span>c
<span>                            to obtain a system of three linear equations.</span>

                            4a + 2 b + c = 108   ---------(1)
                            </span></span></span></span></span></span></span></span></span></span></span><span><span>16a + 4 b + c = 68   ---------(2)</span>
                            36a + 6 b + c = 75   ---------(3)   

Fifth step   ⇒ </span><span>Solve <span>the linear system.
                      By using the calculator
                      a = 5.875 , b = -55.25 , c = 195

So, the</span></span><span> quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
T</span><span>o predict the number of births for month 8
substitute with x = 8 ⇒  y = </span><span>5.875 * 8²- 55.25 * 8 + 195 = 129</span>







3 0
3 years ago
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3 0
3 years ago
Your history teachers is going to give you a 92 point assessment. There are 2 point questions and 3 point questions. If there is
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Answer:

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Solving this we get x = 28, y = 12 so the answer is 28.

4 0
3 years ago
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