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Kaylis [27]
3 years ago
15

50 POINTS - A Builder intends placing 7 equally spaced homes on a semicircular plot. If the circle has a diameter of 400 feet, w

hat is the distance between any two adjacent homes
Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0

Answer:  89.7 ft

<u>Step-by-step explanation:</u>

Find the arc length (s) of the semi-circle.  Then divide that length by 7.

s = r · θ      where r is the radius and θ is the angle in radians

s = (400 ÷ 2) · π        <em>(radius is diameter divided by 2)</em>

  = 200π

  = 628.3

The length of the arc is 628.3 ft.  Divide that by 7 to find the distance between each home.

628.3 ÷ 7 = 89.7

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The table shows the temperature (y) at different altitudes (x).
Shtirlitz [24]

Answer/Step-by-step explanation:

2. Using two pairs of values, (0, 59) and (2,000, 51),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{51 - 59}{2,000 - 0} = \frac{-8}{2,000} = -\frac{1}{250}

3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,

y-intercept (b) = 59

4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in y = mx + b

✅y = -\frac{1}{250}x + 59

5. Substitute x = 5,000 in y = -\frac{1}{250}x + 59.

y = -\frac{1}{250}(5,000) + 59

y = -20 + 59

y = 39

At an altitude of 5,000 ft, temperature would be 39°F

3 0
3 years ago
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay
saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

<u>To find the 8% of 14,4000</u>

8% of 14,4000 = (8*144000)/100 = 11520

<u>To find total amount paid</u>

Total amount paid = 14,4000 + 8% of 14,4000

 = 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0
4 years ago
Write an expression using all six trigonometric functions such that the value of the expression is 3.
iren2701 [21]
The trig functions that you need to deal with are
Sine
Cosine
Tangent
Cotangent
Cosecant
Secant

You need to write a single expression using all six trig functions such that the value of the expression equals 3.

To make this as simple as possible, the first thing I would do is look up the values of these functions and identify which ones are equal to either 1/2 or 1.0 or 2.0

sin(30º) = 1/2
sin(90º) = 1
cos(0º) = 1
cos(60º) = 1/2
tan(45º) = 1
csc(30º) = 2
csc(90º) = 1
sec(0º) = 1
sec(60º) = 2
cot(45º) = 1

If we only had to use three trig functions (sin, cos, tan), one possibility is
tan(45º) + cos(0º)/sin(30º) = 1 + 1/(1/2) = 1 + 2 = 3
noticed how I chose one each of the required functions and the operations so that the result = 3.

Now it is up to you to figure out how to combine all six trig functions so that they equal zero. There are many possibilities for you to choose from..
6 0
3 years ago
0.8x = 12. Solve for X. PLEASEEE HELPPP!!
kenny6666 [7]

Answer:

x-15

Step-by-step explanation:

7 0
3 years ago
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Find the slope of the lines​
Svetllana [295]

Answer: -1/2

Step-by-step explanation:

Rise= 1

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3 years ago
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