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
guajiro [1.7K]
4 years ago
14

Analyze the diagram below and complete the instructions that follow. Find the value of x

Mathematics
1 answer:
erik [133]4 years ago
8 0
One of the rules of triangles is that if you have a 45 45 90 angle triangle, the two sides besides the hypotenuse are equal to each other. In this case, one of the sides is equal to x, so other side is equal to x as well. Now, to solve for x, you need to know the Pythagorean theorum:

{a}^{2} + {b}^{2} = {c}^{2}

Both 'a' and 'b' are equal to x, and 'c' is equal to 3, so I'll make the substitutions below:

{x}^{2} + {x}^{2} = {3}^{2}

This can be simplified to:

{2x}^{2} = 9

Now we just solve for x:

\frac{2}{2} {x}^{2} = \frac{9}{2}

\sqrt{ {x}^{2} } = \sqrt{ \frac{9}{2} }

x = \frac {\sqrt {9}}{\sqrt {2}} \times \frac {\sqrt {2}}{\sqrt {2}}

Solution:

\frac {3\sqrt {2}}{2}
You might be interested in
Can someone help me out?
Anarel [89]

Answer:

So the value of s  = 7 cm

Step-by-step explanation:

We know that, Area of a triangle = 1/2 * b * h

So, base = 24 cm

height = s

Area = 1/2 * b * h

=>84 = 1/2 * 24 * h

=>84 = 12 * h

=>84 / 12 = h

=> 7 = h (in cm)

Hope this helps, please mark me as brainliest!! Thank you!

6 0
4 years ago
Jayne says that 0.45 is equal to 4/10. Is she correct? Explain.
yKpoI14uk [10]
No, 4/10 is equal to 0.40 and not 0.45 since 4/10 goes in tens.
4 0
3 years ago
Read 2 more answers
For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.
den301095 [7]

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

7 0
3 years ago
I have a series of questions
alexgriva [62]

9514 1404 393

Answer:

  0.4, 0.004, 0.004

Step-by-step explanation:

The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.

4/10 = 0.4   ⇒   10 times 0.4 = 4

0.04 and .04 are exactly the same value, so the last two on your list are the same:

0.04/10 = 0.004   ⇒   10 times .004 = 0.04

3 0
3 years ago
Cara plants 5 seeds in 2 minutes, while Wade plants 3 times as many seeds in half the time. How many seeds can they both plant t
Svetradugi [14.3K]

Answer:

together they can plant 175 seeds in 10 minutes

5 0
3 years ago
Read 2 more answers
Other questions:
  • Use the given triangles to evaluate the expression. Rationalize all denominators. <br> cos Pi/6
    11·1 answer
  • Running on a treadmill is slightly easier than running outside because there is no drag force to work against. Suppose a 60 kg r
    9·1 answer
  • The polynomial x3 + 4x2 – 9x – 36 has 4 terms. Use factoring by grouping to find the correct factorization.
    7·2 answers
  • Maria bought three t-shirts at her favorite store t shirt paradise. she had a 25% of coupon and paid $45 in total.what was the o
    8·2 answers
  • wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell th
    5·1 answer
  • Is 22/35 inits simplest form??
    11·2 answers
  • Right now need answer now ok please do not do wrong
    10·2 answers
  • I need answer asap pls​
    12·2 answers
  • You take a math quiz that has 25 regular points and 5 bonus points. You get a score of 20, which includes 2 bonus points. Which
    12·1 answer
  • What is the value of x that makes the given equation true?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!