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Gelneren [198K]
3 years ago
9

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park.

Mathematics
2 answers:
Orlov [11]3 years ago
6 0
The answer is a.......................
Setler [38]3 years ago
4 0
The answer is <span>A)(13, 8).

Distance I to F is:     yf - yi = -1 - (-4) = -1 + 4 = 3
Distance D to A is:   ya - yd = 8 - 2 = 6

</span>Distance D to A : Distance I to F = 6 : 3<span>
6 : 3 = 2, so scale factor is 2.

Among all choices, we see that the y point of another corner is 8, so we need to find x point.

Distance I to H is:                 xh - xi = -2 - (-7) = -2 + 7 = 5
Distance A to x corner is:    x - xa = x - 3

Since </span>Distance I to H is 5, and scale factor is 2, we have:
Distance A to x corner : Distance I to H = 2
Distance A to x corner = 2 * Distance I to H = 2 * 5 = 10

Distance A to x corner is:    xa - x = x - 3 = 10
x - 3 = 10
x = 10 + 3
x = 13

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Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False​
olga nikolaevna [1]

Answer:

No, (false). The question I assume was: (3*8)*1=3*(8.1)

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: <em><u>The result of step No. 1:</u></em> * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = \frac{81}{10} = \frac{81}{10}

   a) Write down the decimal 8.1 divided by 1: 8.1 = \frac{81}{1}

   b) Multiply both top and bottom by 10 for every number after the

       decimal point. (For example, if there are two numbers after the decimal

       point, then use 100, if there are three then use 1000, etc.)

       \frac{8.1}{1} = \frac{81}{10}

   Note: \frac{81}{10} is called a decimal fraction.

   c) Simplify and reduce the fraction

       \frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}

4. Multiple: 3 * 8.1 = \frac{3*81}{1*10} = \frac{243}{10}

   Multiply both numerators and denominators. Result fraction keep to lowest

   possible denominator GCD(243, 10) = 1. In the next intermediate step the

   fraction result cannot be further simplified by canceling.

   In words - three multiplied by eighty-one tenths = two hundred forty-three

   tenths.

5. Compare: <em><u>The result of step No. 2 </u></em>vs <em><u>The result of step No. 4</u></em>: = 24 vs \frac{243}{10} = \frac{24}{1} vs \frac{243}{10} = \frac{24*10}{1*10} vs \frac{243}{10} = \frac{240}{10} vs\frac{243}{10} = 240 vs 243 = No

5 0
3 years ago
A composition of reflections across two intersecting lines is a _____
kogti [31]

A composition of reflections across two intersecting lines is a rotation.


I hope helped ^^

4 0
3 years ago
A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a
kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, s=\frac{dx}{dt}=470\ mi/h

Now, applying Pythagoras theorem to the triangle, we have:

D^2=h^2+x^2\\\\D^2=1+x^2

Differentiating with respect to time 't', we get:

2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi

Now, plug in all the given values and solve for \frac{dD}{dt}. This gives,

\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0
3 years ago
In the figure at the right DC = 20 cm and AB =36 cm . what is FE? a.16cm b.56cm c.28cm d.46cm​
puteri [66]

Answer:

however dc =20 cm is

Step-by-step explanation:

so this isnt contrary to 50

6 0
2 years ago
Read 2 more answers
What is the range of the given function?
Fed [463]

9514 1404 393

Answer:

  (b)  {yly = -9, -3, 0, 5, 7}

Step-by-step explanation:

The range is the set of y-values in the ordered pairs. It is usually convenient to list a set in alphanumeric order.

The second values of the ordered pairs are 0, -3, -9, 5, 7. So, the range is ...

  y ∈ {-9, -3, 0, 5, 7} . . . . . matches the second choice

6 0
2 years ago
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