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Tamiku [17]
3 years ago
8

Explain tge distace formula. then use it to calculate the distance between A(1,1) and B(7,-7).

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0
The distance formula is based on the Pythagorean Theorem:

Distance = Square Root [(X2 - X1)^2<span> + (Y2 - Y1)^</span>2<span>]
</span>Distance = Square Root [(7 -1)^2 + (-7 -1)^2]
Distance = Square Root [ 6^2 + -8^2]Distance = Square Root [ 36 + 64 ]Distance = Square Root [100 ]Distance = 10
Source:http://www.1728.org/distance.htm

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A train travels with a constant speed of 74 miles per hour how far can you travel in 2 hours
pickupchik [31]

Answer:All you have to do is add or multiply


Step-by-step explanation: Ratio: 74 miles/1 hour

So all you have to do is multiple 74 by 2, or you can add 74 plus 74 and you will get 148   74

                   +74

                     148

4 0
3 years ago
Read 2 more answers
Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
natita [175]

Answer:

sin (theta) = \frac{\sqrt{15} }{8}

cos (theta) = \frac{7}{8}

tan (theta) = \frac{\sqrt{15} }{7}

cot (theta) = 7 square root 15/15

sec (theta) = \frac{8}{7}

csc (theta) = 8 square root 15/15

Step-by-step explanation:

7 0
3 years ago
A company has determined that its maximum profit occurs when it sells 10,000units per month. For every 1,000 units more or less
seropon [69]

Answer:

B. 5 |q−10| =35

Step-by-step explanation:

Solution:

let's try to understand the problem clearly.

In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.

We know that, for 10000 units = company will get maximum profit.

Any value less than or greater than 10000 units will decrease the profit.

and we also know that,

For every 1000 units profit is decreased by $5000.

So if maximum profit is at 10000 units,

Then at 9000 units = it will have profit decreased by 5000 from the maximum

if q = 11000 then profit = Maximum - 5000

But we are asked to calculate the profit decrease of $35000 from the maximum.

it means we need 5000 decreased by 7 times = 10000 +  7000 = 17000 units

So, if company produces 17000 units,

profit will be decreased by 5(7000) = 35000

Finally,

B. is the only equation which satisfies this condition.

B.  5 (q-10) = 35

(q-10) = 7

q = 10 + 7 = 17

q = 17000 units

Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.

5 0
2 years ago
A square has side length 8 cm. The square is enlarged so that it has side length 48 cm. What is the scale factor of the enlargem
Lostsunrise [7]

Answer:

ans=6

Step-by-step explanation:

scale factor = Dimension of a new shape ÷ Dimension of the original shape

= 48/8

=6

7 0
2 years ago
A yacht is anchored 90 feet offshore
Stells [14]

The height of the  lighthouse is 44 feet.

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

You are given more information than you need.

Use the right triangle concept,

A yacht is anchored 90 feet offshore from the base of a lighthouse.

  • Base = 90 feet
  • Height = h feet

The angle of elevation from the boat to the top of  the lighthouse is 26 degrees.

<u>Using one side length and the angle only: </u>

The trigonometric formula is given as,

tan = height / base

tan[26º] = h ⁄ 90

 h = 90 × tan[26º]

h = 43.9 ft

h = 44 feet

Therefore, the height of the  lighthouse is 44 feet.

8 0
3 years ago
Read 2 more answers
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