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IrinaVladis [17]
3 years ago
12

A submarine dove at a rate of 18 feet per minute. What was the depth of the submarine after 15 minutes?

Mathematics
1 answer:
Juliette [100K]3 years ago
7 0
So you’re basically multiplying 18 and 15. It’s going to be 270 ft
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If THE equation of a circle is (x + 5)2 + (y - 7)2 = 36, it’s center point is
Kay [80]

Answer:

(-5,7) is the center

Step-by-step explanation:

3 0
3 years ago
You buy 2.3 pounds of apples for<br>$1.43 per pound. How much do<br>you spend?​
saveliy_v [14]

Answer:

$3.30 ($3.289)

Step-by-step explanation:

2.3 times 1.43 = 3.289 rounded to 3.30

6 0
3 years ago
Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible
Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

pq =    \sqrt{( {x2 - x1)}^{2}  + ( {y2 - y1)}^{2} }

or \:  \sqrt{( {5  + 3)}^{2} + ( {2 - 2)}^{2}  }

By simplifying it we get,

8

Now,

again finding the distance between PR,

pr = \sqrt{( {x2 - x1}^{2}  + ( {y2 - y1)}^{2} }

or,

\sqrt{( {x + 3)}^{2}  + ( {y - 2)}^{2} }

By simplifying it we get,

=  \sqrt{ {x}^{2} +  {y}^{2} + 6x  -  4y + 13  }

now, finding the distance of QR,

qr =  \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2}  }

or, by simplification we get,

\sqrt{ {x}^{2} +  {y}^{2}  - 10x - 4y + 29 }

now, equating PR and QR,

\sqrt{ {x}^{2} +  {y}^{2}  + 6x  -  4y  + 13}  =  \sqrt{ {x}^{2}  +  {y}^{2} - 10x - 4y + 29 }

we cancelled the root ,

{x}^{2} +  {y}^{2} + 6x - 4y + 13 =  {x}^{2}   +  {y}^{2}   -10x - 4y + 29

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

\sqrt{ {x}^{2} +  {y}^{2}  + 6x - 4y + 13 }  =  8}

cancel the roots,

{x}^{2} +  {y}^{2}   + 6x - 4y + 13  = 8

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

<em>Hope it helps</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
Maggie’s brother is three years younger than twice her age. The sum of their ages is 24. How old is maggie?
JulsSmile [24]

To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:

m + b = 24

b = 2m - 3

To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.

m + b = 24

m + 2m - 3 = 24

To simplify, we must first combine the variable terms on the left side of the equation using addition.

3m - 3 = 24

Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.

3m = 27

Finally, we should divide both sides by 3 in order to get the variable m alone.

m = 9

Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).

Hope this helps!

8 0
3 years ago
Read 2 more answers
Two sides of a triangle have measures 3 ft. and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate
Tanya [424]

Answer:

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c = 27ft

Step-by-step explanation:

Since the angle is located in  between the sides of the sides, we will use the cosine rule to get the unknown sides

Let c be the missing sides

According to the cosine rule;

c² = a²+ b² - 2abcosC

c² = 3² +6² - 2⋅3⋅6⋅cos 60

c² = 9 + 36 - 36cos60

c² = 45 - 36cos60

c² = 45 - 36(0.5)

c² = 45 - 18

c² = 27ft

Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60

8 0
3 years ago
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