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3 years ago

Give an example of undefined term and defined term in geometry

1 answer:

4 0

These are undefined terms:1.plane2.point3.line.
These are defined terms: 1.ray 2.union of sets 3.space 4.subset 5.set 6.proper subset 7.opposite

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sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).

Ilia_Sergeevich [38]

Answer:

Therefore $\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

Step-by-step explanation:

Given values are

$\sin \alpha=\frac{7}{25}$

$\cos \beta=\frac{2}{5}$

$\sin^2x+\cos^2=1$

$\cos \alpha=\sqrt{1-\sin^2\alpha}$

$\cos \alpha=\sqrt{1-(\frac{7}{25})^2}$

$\cos \alpha=\sqrt{1-\frac{49}{625}}$

$\cos \alpha=\sqrt{\frac{576}{625}}$

$\cos \alpha=\frac{24}{25}$

$\sin \beta=\sqrt{1-\cos^2\beta}$

$\sin \beta=\sqrt{1-(\frac{2}{5})^2}$

$\sin \beta=\sqrt{1-\frac{4}{25}}$

$\sin \beta=\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\cos\alpha\cos\beta+\sin\alpha\sin\beta$

$\cos(\alpha-\beta)=\frac{24}{25}\times\frac{2}{5}+\frac{7}{25}\times\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

7 0

2 years ago

What is the solution? you can solve using elimination or substitution.

Alexxx [7]

Plug in the x+3 for y.
8x-x+3=12
7x=9
X=1.3

Then, y= -0.25

3 0

2 years ago

Read 2 more answers

You've just purchased 12 lb of celery. You take it back to your kitchen and proceed to trim and cut it into pieces, ending up wi

Alecsey [184]

We should know that ⇒ 1 lb = 16 oz

The amount of purchased celery = 12 lb = 12 * 16 = 192 oz
Trim and cut it into pieces, ending up with 5.5 oz of trim.

The yield will be = 192/5.5 = 34.91

Taking the smallest integer number.

So, the yield = 34

which will be equal = 34*5.5 = 187 oz


So, the yield percentage = $\frac{187}{192} *100 = 97.4 \%$

3 0

2 years ago

Billy has 95 stickers. He shares 4 with Harry. How many stickers will Billy have?

Leni [432]

Answer: 91

Step-by-step explanation:

95 - 4 (That he gave to Harry) = 91

Hope this helped!

7 0

3 years ago

Read 2 more answers

Help on area of composite figures

balandron [24]

break it up into simpler shapes. See the photo.
There is:
trapezoid
A = 0.5(3.2+6.5)4.5
= 21.825

triangle
A = 0.5(2.7)4.5
= 6.075

rectangle
A = 1.8(4.5)
= 8.1

Total Area = 21.825 + 6.075 + 8.1
= 36

7 0

2 years ago