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RideAnS [48]
3 years ago
9

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

The length of each side is 31.5m, 26.5m, 7m

Step-by-step explanation:

Let the length of the first side of the triangle be x meters.

Then, the second side is x-5 meters.

The third side is given as 7 meters.

The perimeter is 65 meters

This gives us the equation:

65 = x + x - 5 + 7

65 - 7 + 5 = x + x

63 = 2x

x =  \frac{63}{2}  = 31.5

The length of each side is 31.5m, 26.5m, 7m

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Solve the system using elimination.
Shalnov [3]

Answer:

After simplifying we get (x,y) as (1,3).

Step-by-step explanation:

Given:

x+7y=22,

x-7y=-17

We need to use elimination method to solve the and simplify the equations.

Solution;

Let x+7y=22 ⇒ equation 1

Also Let 4x-7y=-17⇒ equation 2

Now by solving the equation we get;

first we will Add equation 2 from equation 1 we get;

(x+7y)+(4x-7y)=22+(-17)\\\\x+7y+4x-7y=22-17\\\\5x=5

Now Dividing  both side by 5 using division property of equality we get;

\frac{5x}{5}=\frac{5}{5}\\\\x=1

Now Substituting the vale of x in equation 1 we get;

x+7y=22\\\\1+7y=22

subtracting both side by 1 using subtraction property of equality we get;

1+7y-1=22-1\\\\7y=21

Now Dividing  both side by 7 using division property of equality we get;

\frac{7y}{7}=\frac{21}{7}\\\\y=3

Hence we can say that, After simplifying we get (x,y) as (1,3).

4 0
3 years ago
A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them
charle [14.2K]

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$

$\sin \ \theta = \frac{60,000}{90,000}$

$\sin \ \theta = \frac{2}{3}$

$\sin \ \theta = 0.667$

∴ $\theta = \sin^{-1 }(0.667)$

     = 41.83°

3 0
3 years ago
6+3-4×2 using the order of operations
ANEK [815]
6+3-4x2 [we do 4x2 first because it's multiplication]
6+3-8
since we're left w addition and subtraction, we solve from left to right as usual.
9-8
= 1
i hope this helps bby! x
5 0
3 years ago
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Help!! <br><br><br><br> These graph questions will drive me crazy
koban [17]

Answer:

Step-by-step explanation:Use math papa.com it will help you with graphs

6 0
3 years ago
One card is randomly selected from a deck of cards. Find the odds against drawing a three​
Burka [1]

The answer is 12:1

note: this is often read as "12 to 1"

==============================================

Explanation

We have exactly four card that are labeled "3" and 52 cards total. So there are 52-4 = 48 cards that are not labeled "3".

From here you write the ratio 48:4 to indicate the odds against drawing a 3. There are 48 ways to lose, 4 ways to win. You list the number of ways to lose first when it comes to "odds against" type of problems.

Next step is to reduce the ratio 48:4 to get 12:1, note how I divided both parts by the GCF 4

48/4 = 12

4/4 = 1

So thats how 48:4 reduces to 12:1

If you focus on one suit, say the spades, then we have 12 cards that arent a 3 of spades while exactly one card is a 3 of spades. This is one way to see why 12:1 is the answer. If you were saying this out loud to a friend, then you might say something like "the odds against drawing a three are 12 to 1".

5 0
4 years ago
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