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3 years ago

I need the answer- it's easy!

Mathematics

1 answer:

kaheart [24]3 years ago

8 0

1) You add 72+89 which you get 161 and you divide by two and you get 80.5
2) you do the same thing 72+89+90=251
And you divide by three and you get ≈83.66

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Set up a proportion.
2/3 = 12/x. Cross multiply the proportion.
2x = 36. Solve for x.
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3 years ago

Find the length of BC. <br> A.) 14<br> B.) 9<br> C.) 2<br> D.) 3

Vera_Pavlovna [14]

Answer:

A) 14

Step-by-step explanation:

BC is congruent to DC in saying this you can plug the equations to each other and solve for y and then put its back into the equation for BC to get the length.

3y+5=5y-1

subtract 3y from both sides --> 5=2y-1

add 1 to both sides --> 6=2y

now get y alone, divide by 2 by both side --> y=3

plug y in back to 5y-1 --> 5x3-1

15-1

BC = 14

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3 years ago

Verify the following trig identities.

bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = $\frac{1}{sinx}$

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

-----------------------------------------------------------------

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

3 0

3 years ago

Bharat and ingrid leave their building at the same time on their bikes and travel in opposite directions. If bharat's speed is 1

yanalaym [24]

Answer:

3 hours

Step-by-step explanation:

speed of Bharat = 12kilometers / hour

speed of Ingrid=14 kilometers / hour

For this problem we'll be using formula relating time, distance and speed.i.e

Distance = speed x time

Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:

Time = distance/ speed

Time= b/12 hours.

Also, Ingrid can ride the distance at this time with speed of 14km/hr

The distance would be,

Distance = speed x time

Distance = 14 x (b/12) => 14b/12

Distance= 7b/6

Let ' $d_{b}$ ' be the distance that Bharat have covered after time 't'

therefore, $d_{b}$ = 12 x t

Let ' $d_{i}$ ' be the distance that Ingrid have covered after time 't'

therefore, $d_{i}$ = 14 x t

In order to find the time when they are 78 kilometers apart, we will add $d_{i}$ and $d_{b}$ , because they are travelling in opposite direction creating distance between them.

So,

$d_{i}$ + $d_{b}$ = 78

( 14 x t) + (12 x t) =78

14t + 12t =78

26t= 78

t= 78/26

t= 3hours.

thus, it will take 3 hours until they are 78 kilometers apart

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3 years ago

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