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mixer [17]
3 years ago
15

Hypothesize why human artifacts on the Moon might need to be protected.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

because moon artefacts are prone to damage and need to be protected

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If cube has total surface area 150cm sweet, find the volume of the cube<br>​
Ganezh [65]

Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

8 0
3 years ago
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What is the measure of angle R?
tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}

Take only two sides.

$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}

Substitute the given values.

$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}

Do cross multiplication.

\Rightarrow36\times\sin R = \sin50^\circ\times20

sin 50° = 0.766

\Rightarrow36\times\sin R = 0.766\times20

\Rightarrow36\times\sin R = 15.32

$\Rightarrow\sin R = \frac{15.32}{36}

$\Rightarrow\sin R = 0.4255

$\Rightarrow R = \sin^{-1}(0.4255)

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0
3 years ago
(-8)(-5) = _<br> What’s the answer
Setler [38]

Answer:

40

Step-by-step explanation:

-8*-5=40

two negatives equal a positive

4 0
3 years ago
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What is the radius of a circle whose equation is x^2+y^2-10x+6y + 18=0
rjkz [21]

Answer:

Explanation:

We must write this equation in the form

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

Where

(

a

,

b

)

are the co ordinates of the center of the circle and the radius is

r

.

So the equation is

x

2

+

y

2

−

10

x

+

6

y

+

18

=

0

Complete the squares so add 25 on both sides of the equation

x

2

+

y

2

−

10

x

+

25

+

6

y

+

18

=

0

+

25

=

(

x

−

5

)

2

+

y

2

+

6

y

+

18

=

0

+

25

Now add 9 on both sides

(

x

−

5

)

2

+

y

2

+

6

y

+

18

+

9

=

0

+

25

+

9

=

(

x

−

5

)

2

+

(

y

+

3

)

2

+

18

=

0

+

25

+

9

This becomes

(

x

−

5

)

2

+

(

y

+

3

)

2

=

16

So we can see that the centre is

(

5

,

−

3

)

and the radius is

√

16

or 4

6 0
3 years ago
A number cube is rolled 14 times and the results are recorded in the table.
marshall27 [118]

Answer:

D.5/14

Because 4 appeared five times over the total

8 0
2 years ago
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