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adell [148]
3 years ago
6

Sonya and Isaac are in motorboats located at the center of a lake. At time t=0, Sonya begins traveling south at a speed of 36 mp

h. At the same time, Isaac takes off, heading east at a speed of 27mph. How fast is the distance between them changing after 12 minutes?
Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

the speed btn sonya and issac would make a right angled trangle hence easy 2 solve through pythogoras

{36}^{2}  +  {27}^{2}  = 2025

then find the

\sqrt[?]{?}

hence get 45

since it was 12 mins we need 2 multiply by 12

hence

45 \times 12 = 540

Therefore it's 540mph

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3 0
4 years ago
The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete
finlep [7]

Answer:

The new pressure is 4.27 pounds

Step-by-step explanation:

In this question, we have the volume varying inversely as the pressure;

Firstly, let's say the volume is V and the pressure is P

Mathematically;

V ∝ 1/P

Let us insert a constant of proportionality K

⇒ VP = K

Let's calculate the value of K

K = 32cm^{3} × 8 = 256 cm^{3} pounds

Now in the second scenario, pressure is unknown but we know the volume to be 60cm^{3}

Recalling;  VP = K

P = K/V = 256 cm^{3} pounds/60cm^{3} = 4.27 pounds

7 0
4 years ago
Read 2 more answers
Please help I dont know what to do!!!
Olenka [21]
Hey John

Let's start solving #1

x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2

Next, let's solve the second one

\frac{3}{5} +  \frac{4}{5x} +  \frac{7}{10x} + 1 \frac{1}{2} = 5 \frac{3}{5}
Simplifies to:
\frac{105x+75}{50x} =  \frac{28}{5}
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7

Let me know if you have questions about the answer.

Best of luck with your studies!

6 0
4 years ago
Help me please!!
Mice21 [21]

Answer:

1.) - 1/2

2.) the slope is 0 which means it is a vertical line

Step-by-step explanation:

In order to solve this you take the formula

y-y / x-x

and put they y value and x value of each equation in

7 0
3 years ago
What is the answer to<br><img src="https://tex.z-dn.net/?f=150%20%5Cgeqslant%2015x" id="TexFormula1" title="150 \geqslant 15x" a
miss Akunina [59]

Step-by-step explanation:

150\geq15x\to15x\leq150\qquad\text{divide both sides by 15}\\\\\dfrac{15x}{15}\leq\dfrac{150}{15}\\\\x\leq10\to x\in(-\infty,\ 10]

3 0
4 years ago
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