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Vikki [24]
2 years ago
14

1. A map has a scale 3 cm: 4 miles. What is the actual distance between two cities that are

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0

The actual distance between the two cities are 30 miles.

<h3>What is a scale drawing?</h3>

A scale drawing is a smaller diagram of a larger image / building / object. The scale drawing is usually reduced at a constant dimension

<h3>What is the actual distance between the two cities?</h3>

The actual distance between the two cities = (22.5 X 4) / 3 = 30 miles

To learn more about scale drawings, please check: brainly.com/question/147532

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(1 point) Consider the function f(x)=2x3−6x2−48x+5 on the interval [−4,10]. Find the average or mean slope of the function on th
andreyandreev [35.5K]

Answer:

The mean slope on the interval is 68

Step-by-step explanation:

The formula to find the mean slope on an interval [a, b] is given by:

\frac{f(b)-f(a)}{b-a}

So now, we are going to find f(10) and f(-4) and will substitute these values in the formula.

f(10)=2(10)^{3} -6(10)^{2} -48(10)+5\\f(10) =2(1000)-6(100)-480+5\\f(10)=2000-600-480+5\\f(10)=925\\\\f(-4)=2(-4)^{3} -6(-4)^{2} -48(-4)+5\\f(-4)=2(-64)-6(16)+192+5\\f(-4)=-128-96+192+5\\f(-4)=-27

So the mean slope of the function on the interval [-4,10] is:

\frac{f(10)-f(-4)}{10-(-4)} =\frac{925-(-27)}{14} =\frac{925+27}{14} =\frac{952}{14} =68

8 0
3 years ago
How many seconds are in 6 hours? and in 2 days? Explain please?
BartSMP [9]
There are 3600 seconds in an hour.

3600x6 = seconds in 6 hours.
= 21,600 seconds.

48 hours in a 2 days. 3600 seconds each hour.

48x3600= 172,800 seconds.
8 0
3 years ago
Find the sum of (2x-12) from x=7 to x=16
rosijanka [135]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of the following is equivalent to –2i(6 – 7i)? (0 – 2i)(6 – 7i) (0 + 2i)(6 – 7i) (–2 + i)(6 – 7i) (6 – 2i) – (7i – 2i)
Mariulka [41]

Answer:

The expression which is equivalent to –2i(6 – 7i) is; (0 – 2i)(6 – 7i)

4 0
2 years ago
What are the values of x and y in this figure?
Reika [66]
Hello!

We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:

(angle 1) + (angle 2) + (angle 3) = 180

Insert all known values and variables of triangle ABC into the formula above:

30 + (80 + y) + y = 180

Simplify and combine like terms:

30 + 80 + y + y = 180
110 + 2y = 180

Now subtract 110 from both sides of the equation:

2y = 70

Divide both sides by 2:

y = 35

We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:

y + y + x = 180
(35) + (35) + x = 180

Combine like terms:

70 + x = 180

Subtract 70 from both sides of the equation:

x = 110

We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.

I hope this helps!
6 0
4 years ago
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