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Paraphin [41]
3 years ago
12

4. In an electrical circuit it is known that the voltage V varies as the current I

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Step-by-step explanation:

V∝I

V=kI

36=k*8

k=36/8

k=4.5

a. V=4.5I

b. V=4.5*14

V= 63

c. 27=4.5I

I=27/4.5

I= 6

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What is the sales tax on the chair shown if the tax rate is 5.75% ( the chairs price is $178.90)
timurjin [86]
If I remember how to do this right I’m pretty sure you just divid by 178.90 by 5.75 wich gives you 31.11 for the tax rate
7 0
2 years ago
What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4, 3)?
Ostrovityanka [42]
<h2>Answer:   y = - ¹/₂ x + 5 </h2>

<h3>Step-by-step explanation: </h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

                 ⇒  if the slope of this line = 2     (y = 2x + 2)

                      then the slope of the perpendicular line (m) = - ¹/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 3 =  - ¹/₂  (x - 4)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                             since   y - 3 =  - ¹/₂  (x - 4)

                                              y = - ¹/₂ x + 5   (in slope-intercept form)

8 0
2 years ago
A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to th
bija089 [108]

Answer:

The tank is 10cm high

Step-by-step explanation:

Given

L=60cm -- length

W=60cm -- width

x = \frac{1}{5} --- water lever

Addition = 24L

Required

The height of the tank

Let y represents the remaining fraction before water is added.

So:

y + x = 1

Make y the subject

y = 1 - x

y = 1 - \frac{1}{5}

Solve

y = \frac{5 - 1}{5}

y = \frac{4}{5}

Represent the volume of the tank with v

So:

y * v = 24L

Make v the subject

v = \frac{24L}{y}

Substitute: y = \frac{4}{5}

v = \frac{24L}{4/5}

v = 30L

Represent the height of the tank with h;

So, the volume of the tank is:

v = lwh

Make h the subject

h = \frac{v}{lw}

Substitute values for v, l and w

h = \frac{30L}{60cm * 50cm}

Convert 30L to cm^3

h = \frac{30*1000cm^3}{60cm * 50cm}

h = \frac{30000cm^3}{3000cm^2}

h = 10cm

8 0
3 years ago
Use the figure above to identify a pair of similar triangles, then find the scale factor. The image is not drawn to scale.
mrs_skeptik [129]
You didn’t put an image for your question
8 0
3 years ago
If a/4=2/3, then (a-4)/4 would equal<br> a. -2/3<br> b. -1/3<br> c. 0<br> d. 1/3
Jet001 [13]

Answer:

b. -1/3

Step-by-step explanation:

a/4=2/3

a=8/3

(a-4)/4

(8-12)/12

=-4/12

=-1/3

7 0
3 years ago
Read 2 more answers
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