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IceJOKER [234]
3 years ago
9

Eric drew a scale drawing of a country park. The scale he used was 1 inch = 2.5 yards. The picnic area is 80 yards wide in real

life. How wide is the picnic area in the drawing ?
Mathematics
1 answer:
Alchen [17]3 years ago
5 0
If 1 inch = 2.5 yards then
x inch = 80 yards
cross multiplying we have:
80 × 1 = x × 2.5
x = 80÷ 2.5 = 32 inches
therefore the picnic area is 32 inches in the drawing.
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Can someone help me with these please?
saul85 [17]

Point-slope form: y-y1 = m(x-x1)

Standard form: ax + by = c

Slope-intercept form: y = mx+b


Start by finding the slope. We know it is negative since the line is decreasing. The slope is -4/3.


To create point-slope form, we need to get one point from the graph. Let's use (3,0).

y = -\frac{4}{3}(x-3)


To create slope-intercept form, we need the slope and the y-intercept. The y-intercept is the point where our equation crosses the y-axis. For this equation, it is 4.

y = -\frac{4}{3}x + 4


To get standard form, solve the equation in terms of C.


Point-slope form: y = -4/3(x-3)

Slope-intercept form: y = -4/3x + 4

Standard form: 4/3x + y = 4



7 0
3 years ago
If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott
Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

8^{2} + b^{2} = 17^{2} --> Square 8 and 17

64 + b^{2} = 289 --> Subtract 64 from both sides

b^{2} = 225 --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

7 0
2 years ago
A bag of 33 tulip bulbs contains 11 red tulips, 12 yellow tulips, and 10 purple tulips. Suppose two tulip bulbs are randomly sel
Harrizon [31]
The answer will be 35/132
7 0
2 years ago
There are 36 students in mrs.Keaton's sixth grade class. If 5/12 of her students are girls, how many girls are in the class?
olga_2 [115]
There are 15 girls in the class. 
7 0
3 years ago
Read 2 more answers
3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in
Sophie [7]

Answer:

not statistically significant at ∝ = 0.05

Step-by-step explanation:

Sample size( n )  = 61

Average for student leader graduates to finish degree ( x') = 4.97 years

std = 1.23

Average for student body = 4.56 years

<u>Determine if the difference between the student leaders and the entire student population is statistically significant at alpha</u>

H0( null hypothesis ) : u = 4.56

Ha : u ≠ 4.56

using test statistic

test statistic ; t = ( x' - u ) / std√ n

                        = ( 4.97 - 4.56 ) / 1.23 √ 61

                        = 2.60

let ∝ = 0.05 , critical value = -2.60 + 2.60

Hence we wont fail to accept  H0

This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05

3 0
3 years ago
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