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3 years ago

Find the radius, r, if the circumference is 10π. Formula C = 2πr

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

5 0

10π=2πr
Divide both sides by 2π
10π/2π=r
Simplify
5=r

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What is the image point of (1, -1) after a translation left 4 units and down 5 units?

seraphim [82]

Answer is A (-4;-6).

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3 years ago

NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she

Goshia [24]

Answer:

The distance from hot air balloon to the ground $AC=50.1457 ft$ .

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is $40$ °.

When she stepped back $200 ft$ then angle of elevation was $10$ °.

Height of Angie is $5.5 ft$ .

To find: How far off the ground is a hot air balloon.

So, from figure

Height of Angie $(BC) = 5.5ft$

In triangle Δ $ABD$ ,

⇒ $tan {40\si {\degree}} = \frac{AB}{BD}$

⇒ $AB = tan (40) \times BD$ ....................(1)

Now, In triangle Δ $ABE$

⇒ $tan (10)= \frac{AB}{200+BD}$

⇒ $AB = tan(10)\times (200+BD)$

Here, substituting the value $AB$ from Equation (1) we get,

$tan(10)\times (200+BD)= tan(40)\times BD$

$tan(10)\times 200+tan(10)\times BD= tan(40)\times BD$

⇒ $BD\times (tan(40)-tan(10))=tan(10)\times 20$

⇒ $BD\times 0.6628 = 35.2654$

⇒ $BD = \frac{35.2654}{0.6628} =53.2067 ft$

Now, finding the value of $AB$ from equation (1)

$AB= tan(40)\times 53.2067=0.8391\times 53.2067$

$AB=44.6457 ft$

Therefore Length of $AC= AB+BC$ = $(44.6457 + 5.5) ft$

$AC=50.1457 ft$ .

Hence,

The distance from hot air balloon to the ground $AC=50.1457 ft$ .

6 0

3 years ago

A sold an article to B at a gain of 10% ,B sold it to C at a gain of 20% .If C paid Rs.2,640 for it,what did it cost A?

TEA [102]

Answer:

$2,000

Step-by-step explanation:

Since B sold the article to C at a gain of 20%, 2,640 must be 120% or 1.2 times the price that B paid.

To find the price that B paid, we just need to divide 2,640 by 1.2, as the original price multiplied by 1.2 = a 20% increase.

2,640/1.2= 2,200

The price B paid for it must have been 2,200.

Now we know that 2,200 was the price sold by A to gain 10%, therefore it is 110% or 1.1 times the original price A paid for it. Therefore, once again to find the original price, we just need to divide it by 1.1:

2,200/1.1 = 2,000

The original price it cost A was $2,000.

Hope this helped!

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3 years ago

Please help! - Due Today

Dmitriy789 [7]

To explain it in words say. “The answer is 2 because you would first multiply the negative on the inside of the parentheses by the 2 which would give you - (-2). Next, you would multiply the negative on the outside of the parentheses by the -2 inside the parentheses which would give you the answer of 2 because a negative times a negative is a positive.”

I hope this is a good enough explanation.

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Vsevolod [243]

For the first question the answer is B

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