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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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Write the equation y=4x+9 in standard form using integers.
rosijanka [135]

Answer:

4x-y=-9

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

4x-y=-9

I hope this helped you :D

4 0
3 years ago
The diameter of a circle is 17 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
aev [14]

Answer:

52.4 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Radius, r = diameter / 2

= 17 cm / 2

= 8.5 cm

π = 3.14

Circumference of a circle = 2πr

= 2 × 3.14 × 8.5

= 53.38 cm

Approximately 52.4 cm

5 0
2 years ago
Multiply 0.006 by 3.08. Express in standard form​
olga_2 [115]

Answer:

1.848 × 10^-2

Step-by-step explanation:

0.006 = 6 × 10^-3

3.08 = 3.08 × 10^0 (10^0 is equal to 1)

(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2

8 0
2 years ago
Solve the system by substitution. x= x= \,\,-y-5 −y−5 -3x+7y= −3x+7y= \,\,-45 −45
galina1969 [7]

Answer:

(1, -6)

Step-by-step explanation:

the layout of your question is kind of confusing, but i'm guessing this is the system of equations

x = -y - 5

-3x + 7y = -45

plug in x to the second equation

-3(-y - 5) + 7y = -45

distribute

3y + 15 + 7y = -45

combine like terms

10y = - 60

divide by 10

y = -6

plug y into first equation

x = -(-6) - 5

x = 6 - 5

x = 1

6 0
3 years ago
Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?
nydimaria [60]

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

3x=2y+2 ----> equation A

3y=4x+2 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

4 0
3 years ago
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