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3 years ago

what is the width of a rectangle with a length of 6/7 feet and an area of 5 square feet. What is the width of the rectangle

Mathematics

1 answer:

RideAnS [48]3 years ago

6 0

Answer:

5 divided by 6/7 = 35/6 = 5 5/6

Step-by-step explanation:

legth*width=area so area/length=width

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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2 years ago

Find the equation of the ellipse with the following properties.

zalisa [80]

Equation of an ellipse:

(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1

2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9

Then the final equation is:
x²/25 + y²/9 = 1

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3 years ago

857,288 - 38,927 us my question

Ganezh [65]

The answer is 818,361!

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2 years ago

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A bag is filled with green and blue marbles. There are 125 marbles in the bag. If there are 29 more green

ValentinkaMS [17]

Answer:

89 green marbles and 46 blue marbles

Step-by-step explanation:

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2 years ago

1) the point where the x abd y axis meet 2) if m< A + m<D = 90, then <A and D are ____ angles 3) an angle formed by opp

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1. The point where x and y axis meet is the intersect, origin of the coordinate system (0,0)

2. m<A and m<D = 90 then <A and D are complementary angles

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4. Obtuse angle measure more than 90

5. Segment of equal lengths are congruent segments

6. Lines that meet at a 90 angle are perpendicular

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2 years ago