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Novay_Z [31]
3 years ago
13

The perimeter of a triangle is 105. the lengths of all three sides are represented by three consecutive odd integers. Find the l

ength of the longest side
Mathematics
1 answer:
aev [14]3 years ago
8 0
The longest side of the triangle is 37.
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Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒125^{2} = 50^{2} + (x)^{2}

⇒15625 = 2500+ (x)^{2}

⇒ 15625 = 2500+ x^{2}

Subtracting both side by 2500

⇒ 13025 = x^{2}

Square rooting both side, we know√a²=a

⇒ \sqrt{13025} =x

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= x-10\ m

⇒ Height of kite flying above tree= 114.127-10= 104.127\ m

Hence, the height of kite above the tree is 104.127 meters.

3 0
3 years ago
A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she la
SpyIntel [72]

\displaystyle |\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\ |A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\ P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\%

8 0
3 years ago
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with on
Natali5045456 [20]

Answer:

36

Step-by-step explanation:

you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer

3 0
3 years ago
Read 2 more answers
Five workers dig a trench 5 yards long in 5 hours. How many workers are needed to dig a 100 yards long in 100 hours?
Pavlova-9 [17]

I think it would require 100 workers since 1 worker digs up 1 yard.

Hope this helps.

7 0
2 years ago
What is BC of the prism
REY [17]
It is the lateral edge as it is an edge and it is on the lateral area.
4 0
2 years ago
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