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Westkost [7]
4 years ago
9

The sides of a rectangle are 8cm and 6cm. What is the length of the diagonal. 12cm 10cm 9cm 7cm

Mathematics
2 answers:
tatiyna4 years ago
5 0

Answer:

10 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = \sqrt{100} = 10 cm

Neko [114]4 years ago
5 0

Answer:

\huge\boxed{c = 10\ cm}

Step-by-step explanation:

<u><em>Using Pythagorean Theorem</em></u>

c^2 = a^2 + b^2

Where c is the length of diagonal, a and b are the length of the rest 2 sides

=> c^2 = 8^2+6^2

=> c^2 = 64 + 26

=> c^2 = 100

Taking sqrt on both sides

=> c = 10 cm

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Complete the solution of the equation. Find the value of y when x equals 15.
GuDViN [60]
So first, we want to substitute in 15 to all the x variables.

So,

3x - 8y = 5

Becomes

3 * 15 - 8y = 5

Or, 

45 - 8y = 5

So here, you can subtract 45 from both sides to move all like terms to one side.

-8y = 5 - 45

And then simplify:

-8y = -40

Then divide both sides by -8

y = 5
4 0
3 years ago
Read 2 more answers
75 - 3.5x - 4x = 4x + 6
stepladder [879]

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

75 - 3.5x - 4x = 4x + 6

Step 2: Solve for <em>x</em>

  1. Combine like terms: 75 - 7.5x = 4x + 6
  2. Add 7.5x on both sides: 75 = 11.5x + 6
  3. Subtract 6 on both sides: 69 = 11.5x
  4. Divide both sides by 11.5: 6 = x
  5. Rewrite x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

75 - 3.5(6) - 4(6) = 4(6) + 6

75 - 21 - 24 = 24 + 6

54 - 24 = 30

30 = 30

3 0
4 years ago
Read 2 more answers
1. Solve: -3x + 1 = 7
aksik [14]

Answer:

1. -2 = x

2. 19 = x

3. -22 = b

4. 30 = y

5. -5 = t

Step-by-step explanation:

1. -3x = 6 [-1 to the right side of the equivalence symbol]

2. 5x = 95 [23 to the right side of the equivalence symbol]

3. ᵇ/₂ = -11 [23 to the left side of the equivalence symbol]

4. ⅓y = 10 [7 to the right side of the equivalence symbol]

5. -2t = 10 [13 to the right side of the equivalence symbol]

I am joyous to assist you anytime.

7 0
3 years ago
If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
maria [59]
Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61
5 0
3 years ago
A beautician sees clients each day to paint full sets of nails. The function g(x) represents the number of finger nails painted,
lions [1.4K]

Yes, the input and output are both possible.

Reason~

Given that the possible solution is (20,20),

<u>Input</u> = x = 20

<u>Output</u> = x = 20

Thus, g(20) = 20, which is clearly possible.

<em>Hope this helps :)</em>

7 0
2 years ago
Read 2 more answers
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