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Zepler [3.9K]
3 years ago
10

Solve using Pythagoras Theorem (please)​

Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

HA = 16.2 m

DE = 17 m

Step-by-step explanation:

From the base of the cuboid, HDA will form a right angle triangle, where;

DA = 15 m

HA = 6 m

HA is the hypotenuse

Using pythagoras theorem;

HA = √(15² + 6²)

HA = √(225 + 36)

HA = √261

HA = 16.155 m

Approximating to 1 decimal place gives;

HA = 16.2 m

Similarly, HDE will also form a right angle triangle.

Thus;

DE = √((HD)² + (HE)²)

HD = 16.2 m

HE = 5 m

Thus;

DE = √(16.2² + 5²)

DE = 16.95 m

Approximating to 1 decimal place gives

DE = 17 m

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k0ka [10]

Answer:

12x6=42 sorry if im wrong

Step-by-step explanation:

8 0
2 years ago
Just number 7 would be fine but if you could also number 8 would help a lot​
BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

r + 2 - 8r = -3 - 8r

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Combine like terms:                    -7r + 2 = -3 - 8r
  2. Add 8r to both sides:                   r + 2 = -3
  3. Subtract 2 on both sides:            r = -5

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                    -5 + 2 - 8(-5) = -3 - 8(-5)
  2. Multiply:                              -5 + 2 + 40 = -3 + 40
  3. Add:                                    -3 + 40 = -3 + 40
  4. Add:                                    37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

<u>Step 4: Define equation</u>

-4x = x + 5

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Subtract <em>x</em> on both sides:                    -5x = 5
  2. Divide -5 on both sides:                      x = -1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -4(-1) = -1 + 5
  2. Multiply:                               4 = -1 + 5
  3. Add:                                     4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

8 0
3 years ago
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Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
12345 [234]

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

8 0
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Keith bought 4 shirts for $36 at this rate what would his cost be for 7 shirts
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Answer:

$63

Step-by-step explanation:

we know that

Keith bought 4 shirts for $36

so

using proportion

Find out would be the cost for 7 shirts

Let

x ----> the cost for 7 shirts

\frac{4}{36}\ \frac{shirts}{\$}=\frac{7}{x}\ \frac{shirts}{\$}\\\\x=36(7)/4\\\\x=\$63

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3 years ago
Suppose 540 people visit the zoo.Predict how many people will choose the monkey exhibit as their favorite
Margarita [4]
Are there any answer choices?
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