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ioda
2 years ago
14

Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be plac

ed in the corner of a city park. The garden is a right triangle with base 25\text{ m}25 m25, start text, space, m, end text and height 30\text{ m}30 m30, start text, space, m, end text. Draw the garden such that 111 unit on the grid below represents 5\text{ m}5 m5, start text, space, m, end text.

Mathematics
1 answer:
zmey [24]2 years ago
5 0

Answer: Check the explanation for the solution.

Step-by-step explanation:

Given that the garden is a right triangle with base 25m start and height 30 m

The length of the hypothenus can be achieved by using pythagorean theorem.

Please find the attached file for the diagram.

I made a large unit for the sake of clarity.

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Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers
Zielflug [23.3K]

To find the answer to this question, you simply find the greatest common factor.

All of these numbers have many factors, like 1, 2, 3, 4, and 6.

The greatest common factor is 12.

36, 48, and 60 can all be divided by 12 with no leftover or decimals. There is no higher common factor.

The maximum number of bowls she can put the items into is 12 bowls.

I hope this helps :)

4 0
2 years ago
Read 2 more answers
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. *
Alex73 [517]

Answer:

✔️Segment EF is twice as long as segment AB

✔️The length of segment EH is 16 units.

Step-by-step explanation:

Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.

Therefore: scale factor = ratio of any of their corresponding side

Scale factor = GH/CD = 12/6 = 2

This means quadrilateral EFGH is twice the size of quadrilateral ABCD.

The shape of the original polygon remains the same while the size increases.

This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.

Since shape remains the same, their corresponding angles are congruent and the same in measure.

Therefore, the following statements are true and correct:

✔️Segment EF is twice as long as segment AB

(EF = AB*scale factor = 3*2 = 6)

✔️The length of segment EH is 16 units.

(EH = AD*scale factor = 8*2 = 16)

7 0
2 years ago
sandy is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 4 km/h. After two
Butoxors [25]
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2)  = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is  y = 1x + 48
Make standard form.
<span>x - y = -48</span>
7 0
2 years ago
6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?
Nutka1998 [239]
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
6 0
2 years ago
What is the yyy-intercept of y=-3-7xy=−3−7xy, equals, minus, 3, minus, 7, x?
stiv31 [10]

<em><u>Complete Question:</u></em>

What is the y intercept of y = -3-7x

<em><u>Answer:</u></em>

<h3>The y intercept is (0, -3)</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y = -3 - 7x

The y intercept is the point where the line crosses the y axis

<u>Finding y intercept: </u>

To determine the y-intercept, we set x equal to zero and solve for y

Substitute x = 0 in given equation

y = -3 - 7(0)

y = -3 - 0

y = -3

Thus the y intercept is (0, -3)

8 0
2 years ago
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