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wariber [46]
3 years ago
6

What is the value of b^2 - 4ac for the following equation? 2x^2 + 3x = -1

Mathematics
1 answer:
Llana [10]3 years ago
3 0
Hope you understand my working! :)

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
The net of a triangular prism and its dimensions are shown below. What is the total surface area of the prism? a) 54 m squared b
Andre45 [30]

Answer:

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧    

 

✅ I will have the file for the answer key below!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡  

~

Download pdf
4 0
2 years ago
Read 2 more answers
Which of the following are solutions for x<br> in the equation ax2 = bx?<br> Select all that apply.
Brums [2.3K]
I uploaded it here as the answers Bc




Slkwowkneojw
5 0
2 years ago
One month, ruby worked 8 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 136 hour
Travka [436]

Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for (x+8) hours.

And Svetlana worked four times of Ruby, therefore Svetlana worked for

4(x+8) hours

And total hours they worked together is 136. That is

x+x+8 + 4(x+8) = 136&#10;\\&#10;x+x+8 +4x+32=136&#10;\\&#10;6x+40 =136&#10;\\&#10;6x=96&#10;\\&#10;x =16 hours

So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .


6 0
3 years ago
Round 75,499 to the nearest thousand
lara31 [8.8K]

Answer:

75,000

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
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