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podryga [215]
3 years ago
10

Please do this <33333

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

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Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells 1-pound box of crackers for $4.68. The unit price at P
Vesna [10]

Answer:

The unit price at Price-Club is $0.2158 per ounce.

The unit price at Shop Mart is $0.2925 per ounce.

Step-by-step explanation:

Price Club:

12-ounce box of crackers for $2.59

So

12 ounces - $2.59

1 ounce - x

12x = 2.59

x = \frac{2.59}{12}

x = 0.2158

The unit price at Price-Club is $0.2158 per ounce.

Shop Mart:

1-pound box of crackers for $4.68.

1 pound is 16 ounces. So

16 ounces - $4.68

1 ounce - x

16x = 4.68

x = \frac{4.68}{16}

x = 0.2925

The unit price at Shop Mart is $0.2925 per ounce.

8 0
3 years ago
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
ollegr [7]

Answer:

<u>The expression to describe this sequence is Aₙ =  (n - 1) * 1  - 6</u>

Step-by-step explanation:

1. Let's write an expression to describe the sequence which first four terms are as follows:

- 6, -5, -4, - 3.....

Aₙ = (n - 1) * 1  - 6; A₁ = - 6

A₁ = (n - 1) * 1  - 6 = (1 - 1) * 1  - 6 = 0 * 1 - 6 ⇒A₁ = - 6

A₂ = (n - 1) * 1  - 6 = (2 - 1) * 1  - 6 = 1 * 1 - 6⇒ A₁ = - 5

A₃ = (n - 1) * 1  - 6 = (3 - 1) * 1  - 6 = 2 * 1 - 6⇒ A₁ = - 4

A₄ = (n - 1) * 1  - 6 = (4 - 1) * 1  - 6 = 3 * 1 - 6⇒ A₁ = - 3

A₅ = (n - 1) * 1  - 6 = (5 - 1) * 1  - 6 = 4 * 1 - 6⇒ A₁ = - 2

A₆ = (n - 1) * 1  - 6 = (6 - 1) * 1  - 6 = 5 * 1 - 6⇒ A₁ = - 1

A₇ = (n - 1) * 1  - 6 = (7 - 1) * 1  - 6 = 6 * 1 - 6⇒ A₁ = 0

5 0
3 years ago
50 pts. Find the area of the shape shown below. (image included)
Ulleksa [173]

Answer:

28

Step-by-step explanation:

First multiply 8 by 4 to get 32. Now there is a small triangle in the bottom. Multiply 4 by 2 to get 8. Then divide 8 by 2 to get 4, the area of the triangle. Now lastly 32-4 to get 28 square units, the area.

8 0
3 years ago
Read 2 more answers
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