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kirza4 [7]
3 years ago
7

a triangular sail has sides of 10 ft ,24ft,and 26ft .if the shortest side of a similar sail measures 6ft , what is the measure o

f its longest side?
Mathematics
1 answer:
Katarina [22]3 years ago
5 0

Answer:

15.6 ft

Step-by-step explanation:

Since the sails are similar then the ratios of corresponding sides are equal.

Comparing the shortest sides, that is

10 : 6 = 5 : 3

let the longest side be x, then using proportion

\frac{26}{5} = \frac{x}{3} ( cross- multiply )

5x = 78 ( divide both sides by 5 )

x = 15.6

The longest side is 15.6 ft

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Two families went to Rollercoaster World.
Alona [7]

Answer:

Children ticket cost $30 and adult ticket costs $40.

Step-by-step explanation:

Given that:

x = price of a child ticket

y = price of an adult ticket

According to given statement;

3x+2y=170     Eqn 1

4x+6y=360    Eqn 2

Multiplying Eqn 1 by 3

3(3x+2y=170)

9x+6y=510      Eqn 3

Subtracting Eqn 2 from Eqn 3

(9x+6y)-(4x+6y)=510-360

9x+6y-4x-6y=150

5x=150

Dividing both sides by 5

\frac{5x}{5}=\frac{150}{5}\\x=30

Putting x=30 in Eqn 1

3(30)+2y=170

90+2y=170

2y = 170-90

2y = 80

Dividing both sides by 2

\frac{2y}{2}=\frac{80}{2}\\y=40

Hence,

Children ticket cost $30 and adult ticket costs $40.

6 0
2 years ago
Convert 50 feet per second to miles per hour. 5280 ft = 1 mi Round to the nearest hundredth.
alexandr1967 [171]
Sent a picture of the solution to the problem (s).

4 0
3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
2 years ago
How to solve 4+|7-m|=5
notka56 [123]
When
|a|=b
assume
a=b and -a=b
so

4+|7-m|=5
minus 4 from both sides
|7-m|=1
assume
7-m=1 and
-(7-m)=1

7-m=1
minus 7 both sidees
-m=-6
times -1 both sides
m=6

-(7-m)=1
distribute
-7+m=1
add 7 to both sides
m=8

m=6 and 8
4 0
3 years ago
A mine elevator was at a depth of -120 feet. After 15 seconds, the mine elevator was at a depth of -30 feet. Which expression sh
KonstantinChe [14]
-120 + -30 = 90. 90/15 = 6
Answer ; 6mph
8 0
3 years ago
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