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2 years ago

Find the distance between the (10, 9) and (4, 3).

Mathematics

2 answers:

damaskus [11]2 years ago

8 0

Step-by-step explanation:

(10, 9), (5 , 4)

Use the distance formula to determine the distance between the two points.

Distance

=√(x2−x1)² +(y2 - y1)²

Substitute the actual values of the points into the distance formula.

√(5−10)² +(4−9)²

Simplify.

5√2

Exact Form:

5√2

Decimal Form:

7.07106781

Hope it will help :)❤

xxTIMURxx [149]2 years ago

8 0

Answer:

Exact form: 6/2

Decimal form: 8.48528137

Step-by-step explanation:

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Juan invest $3700 in a simple interest account at a rate of 4% for 15 years

OleMash [197]

Question:

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

Answer:

There will be $ 5920 in account after 15 years

Solution:

The simple interest is given by formula:

$S.I = \frac{p \times n \times r }{100}$

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

$S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220$

How Much Money Will Be In The Account After 15 Years?

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

8 0

3 years ago

Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Plz show your work. Thx!! 9m=6

grandymaker [24]

So first you would divide the 9 on both sides then 6 divided by 9 would be .6 repeating so m=.6 repeating.

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2 years ago

You have a recipe that indicates to use 3 parts milk for every 2 parts sugar You use 12 cups of milk How much sugar do you need

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Proportion
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pantera1 [17]

Answer:

Step-by-step explanation:

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3 0

2 years ago