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
Alina [70]
2 years ago
10

B 15 C А. Find the length of "a"using the Pythagorean Theorem.

Mathematics
1 answer:
Sav [38]2 years ago
7 0

Answer:

<em>a</em> = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Identify</u>

We are given a right triangle. We can use PT to solve for the missing length <em>a</em>.

<u>Step 2: Define</u>

hypotenuse <em>c</em> = 15

leg <em>b</em> = 9

leg <em>a</em> = ?

<u>Step 3: Find missing length </u><em><u>a</u></em>

  1. Substitute in variables:                    a² + 9² = 15²
  2. Isolate <em>a</em> term:                                  a² = 15² - 9²
  3. Exponents:                                       a² = 225 - 81
  4. Subtract:                                           a² = 144
  5. Isolate <em>a</em>:                                           a = ±12

Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.

∴ <em>a</em> = 12 is our final answer.

You might be interested in
Solve these equations. Thanks.
Nutka1998 [239]

Answer:

1. 3.572 x 10^(-1)

2. 3.108 x 10^(6)

3. 5.31881533 x 10^(-6)

4. 4.18676122 x 10^(-1)

Hope this helps

8 0
2 years ago
Mr. Clark traveled 456.4 km in 14 days.
xeze [42]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

<h3><u>Distance travelled each day is</u> : </h3>

  • 32.6 km

<h3><u>Explanation</u> : </h3>

Distance travelled in 14 days is : 456.4 km

And if he travels same Distance each day, so let the Distance travelled on each day be x

According to question ~

\qquad \sf  \dashrightarrow \: 14 \times x = 456.4

\qquad \sf  \dashrightarrow \: x = 456.4 \div 14

\qquad \sf  \dashrightarrow x = \: 32.6  \: \: km

So, he travels 32.6 km per day

5 0
2 years ago
Find the following pair of points: a.(6,-2) and (-3,5)​
zhannawk [14.2K]

Answer:

a.(+4) and (+2)

Mark my answere branliest thanks

7 0
2 years ago
A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams.
MatroZZZ [7]

Answer:

The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))

Step-by-step explanation:

The first step is to think that you have to multiply the number of atoms for the weight of each atom.

When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.

Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24)  ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1

⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.

4 0
3 years ago
Simplify:<br> (4/2d^2)^3
cestrela7 [59]
8/d^6


it needs to be 20 characters long so
7 0
2 years ago
Read 2 more answers
Other questions:
  • Will give brainliest!<br><br> N/2+25 = 375 <br><br> N = ? <br><br> (n/2 is a fraction)
    14·2 answers
  • A kilogram of whole-wheat flour costs $6. What is the cost of 400 grams of the flour
    5·1 answer
  • What is the solution to this inequality?<br><br> 4x + 2 ≤ -14 or 3x − 5 &gt; 16
    15·1 answer
  • How to solve this ?
    13·1 answer
  • IS ANYONE GOOD IN LAW OF COSINES..If so ill give brainlest​
    6·1 answer
  • Write a quadratic equation in the form x² + bx+c=0 that has the following
    12·1 answer
  • I need help on how to get the answer too number 27.
    13·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    9·1 answer
  • Children. The
    13·1 answer
  • A cylinder and a cone have the same radius and height. The volume of the cylinder is 639 ft ^3. what is the volume of the cone?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!