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2 years ago

Solve this system of equations using substitution:

Mathematics

1 answer:

yanalaym [24]2 years ago

4 0

I’m thinking your r in the first equation is actually an x.

X + 2(2x -4) =10

X +4x -8 =10

5x = 18

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For a regular 15-sided polygon, what is the degree of rotation?

Volgvan

Hope this helps! :)
360/15=24 degree's

4 0

3 years ago

Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places

natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

$\rm 5 \sin \theta = 4\\\\\theta = 0.927 , 2.214$

Then by the integration, we have

$\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\$

$\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\$

On solving, we have

$\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75$

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0

2 years ago

With 30l of milk, we can make 8.4kg of

Greeley [361]

To get from 8.4 to 10 in multiplication, we need to multiply 8.4 by 10/8.4

That means that if we multiply 30 by 10/8.4 we get the answer
which is 35,714

The same with the other
8.4 times 100/30 = 28

7 0

3 years ago

a homeowner is planning an addition to her house. she wants the new family room to be a rectangle with an area of 192 feet. The

kozerog [31]

Answer:

length=16feet width=12feet

Step-by-step explanation:

This may not be the best way, i just stumbled upon the answer using this.

I knew 14*14=196, which is relatively close to 192.

Then, I took away 2 from one of the 14s and added it to the other 14.

14-2=12 14+2=16

Apparently, 16*12 is 192, so that's the answer.

6 0

3 years ago

A 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are whit

Scilla [17]

Answer:

Step-by-step explanation:

3 0

2 years ago