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Scilla [17]
1 year ago
6

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 10\text{ m}10 m10, start text, space, m, end text and height 15\text{ m}15 m15, start text, space, m, end text. Draw the garden such that 111 unit on the grid below represents 2\text{ m}2 m2, start text, space, m, end text.

Mathematics
2 answers:
coldgirl [10]1 year ago
4 0

Answer:

base 5 units  and height 7.5 units.

Step-by-step explanation:

because it is :p

Lunna [17]1 year ago
3 0

Answer:

See the attached figure 2.

Step-by-step explanation:

The question is as shown at the attached figure 1.

given: The garden is a right triangle with base 10 m and height 15 m.

We need to draw the garden such that 1 unit on the grid represents 2 m.

So the scale factor is 1 unit = 2 m

base = 10 m = 10/2 = 5 units

height = 15 m = 15/2 = 7.5 units

So, the garden on the grid will be a right triangle with base 5 units  and height 7.5 units.

See the attached figure.

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Which equation can be used to solve for b? Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 30 degrees.
FinnZ [79.3K]

Answer: We should use the correct formula for tan α  (which is opposite

leg over adjacent leg)   tan α = 5/b

Step-by-step explanation:

See attached file

We must use the for equation of tan α = BC/AC  

tan α = BC/ b              tan α = 5/b      tan 30⁰  = 1/√3

b = 5/√3    ⇒ b = 5/1.7320

b = 2.8868  cm

4 0
1 year ago
Read 2 more answers
In Drew's town the average price for a tutor is $15 per hour, and the standard deviation is $5.25 per hour. In Drew's town, what
alukav5142 [94]

Answer:

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $15 per hour

Standard Deviation, σ = $5.25 per hour

We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( tutor charges between $10 and $20 per hour)

P(10 \leq x \leq 20)\\\\ = P(\displaystyle\frac{10 - 15}{5.25} \leq z \leq \displaystyle\frac{20-15}{5.25})\\\\ = P(-0.9523 \leq z \leq 0.9523)\\\\= P(z \leq 0.9523) - P(z < -−0.9523)\\= 0.8295 - 0.1705= 0.659

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

5 0
2 years ago
The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sc
astra-53 [7]

Answer:

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

Step-by-step explanation:

Intern            No. of Breast

Number        Exams Performed               X²

1                         30                                  900

2                        40                                 1600

3                        8                                        64

4                        20                                   400

5                          26                                 676

6                           35                               1225

7                            35                               1225

8                            20                                400

9                             25                              625

<u>10                                 20                        400 </u>

<u>                                   </u><u> ∑ 259                  ∑ 7515</u>

Mean= X`= ∑x/n= 259/10= 25.9

Variance = s²= 1/n-1[∑X²- (∑x)²/n]

= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]

= 806.9/9=89.655= 89.66

Standard Deviation= √89.655= 9.4687

Hence

The value of t with significance level alpha= 0.05 and 9 degrees of freedom  is t(0.025,9)= 2.262

The 95 % Confidence interval is given by

x`±t(∝,n-1) s/√n

So Putting the values

25.9± 2.262( 9.4687/√10)

= 25.9 ±2.262 (2.9943)

= 25.9 ± 6.7730

= 25.9 +6.7730=32.6730

25.9 -6.7730= 19.1269

= 19.1269, 32.6730

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

6 0
2 years ago
I need answers ASAP!!!
Trava [24]

Answer:

C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

Step-by-step explanation:

When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.

Since these are isosceles triangles, the base angles are the same:

m∠R = m∠T = m∠A = m∠C

Therefore the congruency statement can be written two different ways.

ΔABC ≅ ΔRST

ΔABC ≅ ΔTSR

Both statements could be correct.

Choosing between B) and C):

To move ΔABC to where ΔRST or ΔTSR is, you could either:

i) Translate 6 units to the left, and translate 3 units down

ii) Reflect across the y-axis, and translate 3 units down

It can be the result of two translations or a reflection and a translation.

In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.

4 0
2 years ago
Read 2 more answers
A room has an area of 121 ft2 but carpeting is only sold in m2. How much carpeting is needed to carpet the room?
kykrilka [37]
The correct answer for the question that is being presented above is this one: "D.)11.24 m2."
First, we need to know the conversion between feet to meters.
1 meter = 3.28 feet
1 meter^2 = 10.7584 ft^2

Given the value of 121 ft^2,
= 121 ft^2 * (1 m^2 / 10.7584 ft^2)
= 11.2470 m^2


7 0
1 year ago
Read 2 more answers
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