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VARVARA [1.3K]
4 years ago
11

You will need 90 feet of fencing to put all the way around a rectangular garden. The width of the garden is 10 feet. What is the

length?
Mathematics
1 answer:
WITCHER [35]4 years ago
4 0
If it is a rectangle then the sides of the width would be the same. Also with the sides of the length. So add the widths, 10+10=20. Subtract 20 from 90, 90-20=70. Divide 70 by 2, 70÷2=35.
 The length would be 35 feet.
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Which composition of transformations maps figure EFGH to figure E"F"G"H"?
Lady bird [3.3K]

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to {\text{E''F''G''H''}} are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A {180^ \circ } rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a {180^ \circ } rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

4 0
3 years ago
Read 2 more answers
The results of a swim <br> Wet are shown. Who swam faster explain your reasoning
kolbaska11 [484]

Answer:

The Susana swam the fastest.

Step-by-step explanation:

<u>Speed</u> : It is defined as the distance traveled per unit time.

<u>Formula used</u> : Speed = \frac{Distance}{Time}

First we have to determine speed of the following persons.

<u>For Tawni :</u>

Distance = 50 m

Time = 40.8 s

1.225 m/s which is the speed of Tawni.

--

<u>For Pepita :</u>

Distance = 100 m

Time = 60.2 s

1.661 m/s which is the speed of Pepita

--

<u>For Susana :</u>

Distance = 200 m

Time = 112.4 s

1.779 m/s which is the speed of Susana

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

7 0
3 years ago
Multiply and subtract these polynomials and simplify. Enter your response in standard form. (2x^3 − 3x + 11) − (3x^2 + 1)(4 − 8x
Lera25 [3.4K]

Answer:

=26x^3−12x^2+5x+7

Step-by-step explanation:

2x^3−3x+11−(3x^2+1)(4−8x)

Distribute:

=2x^3+−3x+11+24x^3+−12x^2+8x+−4

Combine Like Terms:

=2x^3+−3x+11+24x^3+−12x2+8x+−4

=(2x^3+24x^3)+(−12x^2)+(−3x+8x)+(11+−4)

=26x^3+−12x^2+5x+7

5 0
4 years ago
Read 2 more answers
What is the equation of the line that passes through the point 3,-1 and has a slope of 2
LenaWriter [7]

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7

3 0
3 years ago
A restaurant has a sign by the front door that says, "Maximum occupancy: 75 people."
nikklg [1K]

Answer:

112%

Step-by-step explanation:

The percentage of its capacity is calculated as

Number of people / Maximum Occupancy × 100%

Number of people = 84 people

Maximum Occupancy = 75 people

Hence:

84 people /75 people × 100

= 1.12 × 100

= 112%

Therefore, the percentage of its capacity that is 84 people is 112 %

7 0
3 years ago
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