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Paha777 [63]
3 years ago
6

An isosceles triangle has a base 9.2 units long. If the congruent side lengths have measures to the first decimal place, what is

the shortest possible length of the sides?

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Question:

An isosceles triangle has a base of 9.6 units long. If the congruent side lengths have measures to the first decimal place, what is the possible length of the sides? 9.7, 4.9, or 4.7

Answer:

4.9 is the shortest possible length of the sides.

Step-by-step explanation:

Given:

The base of the triangle base  =   9.2 units

To Find:

The shortest possible length of the sides = ?

Solution:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So According to the theorem

x+x > 9.6

2x > 9.6

x > \frac{9.6}{2}

x > 4.8

In the given option 4.9 is the shortest length greater than 4.8 that can be possible.

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Answer:

no

Step-by-step explanation:

no

5 0
3 years ago
Hayley borrowed $1,854 from her parents. She agreed to repay them in equal installments throughout the next 18 months. How much
Serggg [28]

Answer: $ 618

Step-by-step explanation:

Money borrowed =  $1,854

Total months taken to repay = 18  (Number of installments)

Money paid per month = \dfrac{\text{Money borrowed}}{\text{Number of installments}}

=\dfrac{1854}{18}=\$103

Now , money paid in 1 year = 12 x $ 103 =$ 1236     [1 year = 12 months ]

After a year , Haley still owe =  $1,854 -  $ 1236= $ 618

Hence, Haley still owe her parents $618 after a year .

7 0
2 years ago
Find the radius of a circle using the Pythagorean theorem, given that the center is at (1, 5) and the point (5, 1) lies on the c
Assoli18 [71]

Given :

Center of circle, C = ( 1 , 5 )

Point on circle, P = ( 5 , 1 )

To Find :

The radius of a circle.

Solution :

We know, radius of circle is the distance between center and point of circle.

Distance between two points A(p,q) and B(r,s) is given by :

D = \sqrt{(p-r)^2+(q-s)^2}

So, distance between the points (1, 5) and (5, 1) is :

D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units

Therefore, radius of circle is 5.66 units.

Hence, this is the required solution.

4 0
3 years ago
51 participants went on the 7th grade field trip to the national history museum.2/3 of them rode on a large bus.The rest went in
labwork [276]
51 ÷ 3 = 17
17 were in the van
51 - 17 = 34
34 were in the bus
3 0
3 years ago
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A customer left a 15% tip for a meal that cost $64. What was the total amount the customer paid for the meal and tip?
Inessa05 [86]

Answer:

73.6

Step-by-step explanation:

64x15%=9.6

9.6+64=73.6

4 0
2 years ago
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