Answer:
The answer is r < or equal to 15.5.
Step-by-step explanation:
Answer:
d. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
This would be a function as long as one x-value doesn't correspond to two y-values. If two x-values correspond to one y-value though, it still represents a function.
Answer:
6045000000000000000000000 kg.
Step-by-step explanation:
We have been given that the mass of Earth is
kg. The mass of the Moon is
kg.
To find the total mass we will add mass of Earth and Moon.
First of all let us convert the given masses in standard form.



Therefore, the mass of Earth and Moon is 6045000000000000000000000 kg.
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.