1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pishuonlain [190]
3 years ago
11

How to solve this equation of the missing sides of the triangle

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Step-by-step explanation:

Given is a 45°-45°-90 ° angled triangle.

By 45°-45°-90 ° angled triangle theorem:

side opposite to 45° angle is \frac{1}{\sqrt 2} times of hypotenuse.

\therefore \: 7 =  \frac{1}{ \sqrt{2} }  \times m \\  \\   \huge \red{ \boxed{\therefore \: m \:  = 7 \sqrt{2}  \: units}} \\  \\ n \:  =  \frac{1}{ \sqrt{2} }  \times m \\  \\  \therefore \:n \:  =  \frac{1}{ \sqrt{2} }  \times 7 \sqrt{2} \\ \huge \purple{ \boxed{\therefore \:n \:  =   7 \: units}} \\

You might be interested in
The population at a football stadium is 4,068 people.The ratio of men to women in the stadium is 5:4.How many women are at the s
saveliy_v [14]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ 5 + 4 = 9

4068/9 = 452

4 x 452 = 1808

There are 1808 woman at the stadium

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

4 0
3 years ago
√448<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B488%7D%20" id="TexFormula1" title=" \sqrt{488} " alt=" \sqrt{488} " align
bazaltina [42]
The answer is 21.17 or 21.16601049.
8 0
3 years ago
What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?
Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

3x+4y=15

Isolate the variable y

Subtract 3x both sides

3x+4y-3x=15-3x

4y=-3x+15

Divide by 4 both sides

y=-\frac{3}{4}x+ \frac{15}{4}

the slope of the given line is

m=-\frac{3}{4}

Step 2

Find the equation of the line that passes through  the point (8,-2) and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{3}{4}

(x1,y1)=(8,-2)

substitute in the equation

y+2=-\frac{3}{4}(x-8)

y=-\frac{3}{4}x+6-2

y=-\frac{3}{4}x+4  or  3x+4y=16

therefore

<u>the answer is</u>

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

or

3x+4y=16

8 0
3 years ago
You're playing a game where you defend your village from an orc invasion. There are 333 characters (elf, hobbit, or human) and 5
antiseptic1488 [7]

Answer:

8/15

Step-by-step explanation:

khan acdamy

7 0
3 years ago
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
Other questions:
  • Q #8 please solve my question
    5·2 answers
  • The second 3 in 3,333 is the hundreds place. what is the value of the second 3?
    8·2 answers
  • Is 3y-4x=20 a function?
    5·1 answer
  • Solve the inequality. <br>-3 ≤ 2t ≤ 6​
    12·2 answers
  • There are 7 ducks swimming in a pond. If 3 have green wings and 4 have blue wings, what fraction of the ducks have green wings?
    15·2 answers
  • I need help with this one too
    10·1 answer
  • The area of a right triangle is 16 square
    12·1 answer
  • Complete the solution of the equation. Find the<br> value of y when x equals 0.<br> 6x - 2y = 14
    13·2 answers
  • Help me please, I don’t understand
    5·1 answer
  • Someone please? ??? .....
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!