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velikii [3]
3 years ago
12

A line has a slope of 1 and passes through the point (8, 10). What is its equation in

Mathematics
1 answer:
Inga [223]3 years ago
5 0

y = 1x + 2 should be right.

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The formula for the area of a triangle is 1/2bh=A. Which of the following is not a possible first step to rearrange this formula
yarga [219]

We want to put b alone on one side of the equation.

If we multiply by 1/2, we get 1/4bh = A/2. Not only did we not remove a variable from the left side, we made it even more complicated.

So the answer is A.

7 0
3 years ago
Please help! Area of part of a circle!!!
Helga [31]

The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².

The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines

b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°)   ⇒   b = 96√3 cm

Call b the base of this triangle.

The vertex angle is 120°, so the other two angles have measure θ such that

120° + 2θ = 180°

since the interior angles of any triangle sum to 180°. Solve for θ :

2θ = 60°

θ = 30°

Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find

tan(30°) = h / (b/2)   ⇒   h = 48 cm

Then the area of the triangle is

1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²

and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:

3072π cm² - 2304√3 cm² ≈ 5660.3 cm²

7 0
2 years ago
The points (-1.6, 2.7) and (3.2, 7.98) are on the graph of a linear relationship between two variables, r and y.
Aleksandr [31]

Answer:

  y = 1.1x +4.46

  y = 129.86 for x = 114

Step-by-step explanation:

The two-point form of the the equation for a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7

  y = 5.28/4.8(x +1.6) + 2.7

  y = 1.1x +1.76 +2.7

  y = 1.1x +4.46

__

When x=114, the value of y is ...

  y = 1.1(114) +4.46

  y = 129.86

6 0
2 years ago
Joseph has a job walking dogs and gets paid per dog. He needs to walk 45 dogs to earn enough money to pay for his soccer team fe
rusak2 [61]

Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:

t = 1.5/3 = 0.5 hours.

Hence the time it will take him to walk 45 dogs is given by:

45 x 0.5 = 22.5 hours.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
Can some help me out with this EXTRA POINTS!!
Butoxors [25]

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: length^{2}

area of circle: \frac{radius^{2} * \pi }{y}

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2} ≈ 185.73009

hope it helps!

Please mark as brainliest.

8 0
2 years ago
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