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givi [52]
3 years ago
5

A triangle has sides of 18cm and 32cm. The measurement of the longest side is missing. Ted says that one possibility for the unk

nown side is 47cm. Do you agree with Ted? Why or why not?
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0
Since the measurement of the longest side is missing we can use the pythagorean theorem to find the hypotenuse or longest side.

18^2 + 32^2 = c (hypotenuse) ^2
324 + 1,024 = c^2
1,348 = c^2
sqrt 1,348 = c
36.72 = c
i do not agree with ted because when you use the pythagorean theorem you do not get 47cm

this can be proved by
18^2 + 32 ^2 = 47^2
we already know the left side is 1,348
1,348 = 47^2
1,348 does not equal 2,209 which is 47 squared
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6x² + 10x - 6x + 10

6x² + 4x + 10 ans.

hope this helps you !

4 0
2 years ago
The sum of three consecutive odd numbers is one hundred and eleven. what is the smallest of the three numbers?
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8 0
3 years ago
Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

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8 0
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Step-by-step explanation:

Fossils on continents that are now separated by oceans support the theory of continental drift. Continents closer to the equator have warmer climates, yet fossils of tropical plants have been found on islands near the North Pole. This supports the idea that islands drifted from the equator. Coal fields in Europe match those found in North America, supporting the theory of continental drift.

The theory of continental drift was proposed by Alfred Wegener in the early part of 20th century. He suggested that the continents have once been joined together as a single landmass but have drifted to their current positions today.

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Learn more:

Wegener brainly.com/question/5002949

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8 0
3 years ago
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