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Charra [1.4K]
3 years ago
12

The perimeter of a triangle is 29 feet where one side of the triangle is twice the length of the shortest side. the largest side

is 13 feet more than the shortest side. how long is the shortest side
Mathematics
2 answers:
disa [49]3 years ago
5 0
X + 2x + (13 + x) = 29
3x + x + 13 = 29
4x = 29 - 13
4x = 16
x = 16/4
x = 4

The length of the shortest side is 4 ft
DENIUS [597]3 years ago
4 0

Answer:

The shortest side is 4 feet.

Step-by-step explanation:

The perimeter is the border of a geometric figure and corresponds to the sum of the length of all its sides.

So the perimeter in the case of a triangle is the sum of its three sides:

L₁ + L₂ + L₃ =Perimeter

In this case, the perimeter is known and it is necessary to calculate the value of the shortest side. In that case it will be called L₁. So, you know:

  • L₁= shortest side
  • L₂=twice the length of the shortest side → L₂=2*L₁
  • L₃=largest side (13 feet more than the shortest side) → L₃=L₁ + 13
  • Perimeter= 29 feet

Replacing:

L₁ + 2*L₁ + L₁ + 13= 29

Solving:

(1+2+1)*L₁ + 13= 29

4*L₁ + 13=29

4*L₁ = 29-13

4*L₁ =16

L₁= 16÷4

L₁=4

<u><em>The shortest side is 4 feet.</em></u>

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Answer:

Step-by-step explanation:

Starting with 2x+6=22

You subtract 6 from each side of the equation:

2x=16

You want to isolate the "x" so you divide each side by 2.

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This question is incomplete.

Complete Question

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answer:

280 tons of wood.

Step-by-step explanation:

From the above question:

To make 1 ship = we require 40 tons of wood.

1 ship = can accommodate 300 sailors.

Step 1

If :

300 sailors = 1 ship

2100 sailors = y ships

Cross Multiply

300 × y ships = 1 ship × 2100 sailors

y ships = 2100 / 300

y ships = 7

Hence, 2100 sailors can occupy 7 ships.

Step 2

We are told in the question that:

Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

If:

1 ship = 40 tons of wood

Since 7 ships can accommodate 2100 sailors,

7 ships =

7 × 40 tons of wood = 280 tons of wood.

Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.

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Using elimination, what is the solution to the following system?<br> 2x+4y=16<br> -2x-3y=-13
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Answer:

x=2, y=3. (2, 3).

Step-by-step explanation:

2x+4y=16

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In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,
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Answer:

61.5%

Step-by-step explanation:

Let's find all the demographics first:

Sophomores in the class(total 15):

Female: 5

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Female: 3

Male: 8

There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.

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Answer:

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Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

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