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lys-0071 [83]
2 years ago
12

Which graph shape represents the polar curve r = 1 + 4sin(θ)?

Mathematics
2 answers:
umka2103 [35]2 years ago
7 0

Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is r=a ± a\sin \theta

Given the polar curve is r= 1+ 4 \sin \theta

This is an equation of vertical cardioid.

So, it represents a cardioid.

Tomtit [17]2 years ago
6 0

Answer:

C - a limaçon with an inner loop

Step-by-step explanation:

If you have a graphing calculator, use it to plug in the equation.

Based on what you have learned, you will recognize the graph is C

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Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has two
pashok25 [27]

Answer: 3/8

Step-by-step explanation:

It’s the answer :>

5 0
3 years ago
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The play director spent 190190190 hours preparing for a play. That time included attending 353535 rehearsals that took varying a
dybincka [34]

Answer:

The equation 35x+93\frac{3}{4} =190 gives average time spent on 35 rehearsals.

Step-by-step explanation:

We are supposed to find that what question does the equation 35x+93\frac{3}{4} =190 finds answer of.

We can see that 35x represents time spent on 35 rehearsals and 93\frac{3}{4} is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

35x+\frac{375}{4} =190

After subtracting 93\frac{3}{4} hours from 190 hours we will get time spent on 35 rehearsals.

35x =190-\frac{375}{4}

35x =\frac{760-375}{4}

35x =\frac{385}{4}

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

x =\frac{96.25}{35}=2.75  

Therefore, equation 35x+93\frac{3}{4} =190 finds average time spent on 35 rehearsals.


7 0
2 years ago
Read 2 more answers
A metal cube contracts when it is cooled. if the edge of the cube is decreasing at a rate of 0.2 cm/hr, how fast is the volume c
aleksandr82 [10.1K]

Answer:

2160 cm³/hour

Step-by-step explanation:

By default, we know that the volume of a cube is given as s³

Thus, the Volume function, V = s³

When we differentiate with respect to time we have

dV/dt = 3s² (ds/dt), where ds/dt = 0.2

Then we go ahead and substitute all the given parameters

dV/dt = 3 x 60 x 60 x 0.2

dV/dt = 10800 * 0.2

dV/dt = 2160 cm³/hour

This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm

7 0
2 years ago
What is the surface area of the rectangular pyramid
posledela

Answer:

<h2>41.74 m²</h2>

Step-by-step explanation:

We have:

rectangle 4.8 m × 3.8 m

two triangles with base b = 4.8 m and height h = 2.6 m

two triangle with base b = 3.8 m and height h = 2.9 m.

The formula of an area of a rectangle l × w:

A = lw

Substitute:

A_1 = (4.8)(3.8) = 18.24\ m^2

The formula of an area of a triangle:

A=\dfrac{bh}{2}

Substitute:

A_2=\dfrac{(4.8)(2.6)}{2}=6.24\ m^2\\\\A_3=\dfrac{(3.8)(2.9)}{2}=5.51\ m^2

The Surface Area:

S.A.=A_1+2A_2+2A_3\\\\S.A.=18.24+2(6.24)+2(5.51)=41.74\ m^2

3 0
3 years ago
-7(2-3x) help solve please
nadezda [96]

Answer:

-14+21x

Step-by-step explanation:

Distrubute

-7 times 2= -14

-7 times 3x= -21x

4 0
3 years ago
Read 2 more answers
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