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3 years ago

The equation of a circle is (2 – 2)2 + (y+4)2 = 36.

Mathematics

1 answer:

tankabanditka [31]3 years ago

8 0

Answer:

Step-by-step explanation:

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What is the value of y?

matrenka [14]

Answer:

63 degrees

Step-by-step explanation:

(180-54)/2=126/2=63

5 0

3 years ago

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Bags of sugar come in 3 sizes:

Mrrafil [7]

Answer:

Medium

Step-by-step explanation:

The computation is shown below:

The cost for the small and medium bag is shown below:

As we know that

1kg = 1000g

So 3kg = 3000g

Now for small bags

= 0.95 ÷ 250 × 3000

= £11.40

For medium bags

= £1.80 ÷ 500 × 3000

= £10.80

So here the medium bag would represent the better value

5 0

3 years ago

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

3 years ago

5x-2y=30 complete the missing value in the solution to the question (8, )

natali 33 [55]

Answer:

(8,5)

Step-by-step explanation:

5x-2y=30

lets substitute "8" as x and see where that takes us

5(8)-2y=30

40-2y=30

subtract 40 on both sides

-2y=-10

divide by "-2" on both sides

y=5

(8,5) is your answer

4 0

3 years ago

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14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.

Mashcka [7]

Answer:

Step-by-step explanation:

10 dozen is equal to 120 so ratio is 800/120 or 80/12

same ration on the other side but 200/x.Cross multiply and u get 3

7 0

3 years ago