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dezoksy [38]
4 years ago
11

Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet

, and 15 feet using these three pieces of rope, why or why not? A) Cannot be determined because there is not enough information. B) No, set of side lengths does not satisfy Triangle Inequality Theorem. C) Yes, set of side lengths satisfy the Triangle Inequality Theorem. D) Yes, set of side lengths satisfy the Pythagorean Theorem.
Mathematics
2 answers:
Nady [450]4 years ago
5 0

B) No, set of side lengths does not satisfy Triangle Inequality Theorem

QveST [7]4 years ago
4 0

Answer:

B) No, set of side lengths does not satisfy Triangle Inequality Theorem.

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of a triangle must sum to an amount greater than the third side.  Our sides are 4, 8 and 15.

4+8 < 15; this does not work.

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Please help me to solve this​
zzz [600]

Answer:

Below in bold.

Step-by-step explanation:

First find the height by use Pythagoras theorem on the right triangle:

h = sqrt (5^2 - 4^2)

= sqrt 9

= 3.

Volume of the prism = area of the triangle * length

= 1/2 * 3 * 4 * 10

= 1/2 * 12 * 10

= 60 cm^3.

Total area = area of 2 triangles + area 0f 3 rectangles

= 2 * 1/2 * 3 * 4 + 3 * 10 +  4 * 10 + 5 * 10

= 12 + 30 + 40 + 50

= 132 cm^2.

3 0
3 years ago
When Daniel left his house in the morning, his cell phone battery was partially
Mila [183]

Answer:

24.75 percents

Step-by-step explanation:

6 0
3 years ago
luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th
aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.  

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0
3 years ago
An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.
Orlov [11]
Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

8 0
3 years ago
Simplify: l 120-x l if x&lt;120
enyata [817]

Answer:

120-x

Step-by-step explanation:

If x is already less, then you don't need absolute value

5 0
3 years ago
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