Answer:
The common ratio is -2.5
The next three terms are;
-125, 312.5 and -781.25
Step-by-step explanation:
Here, firstly we want to determine the common ratio
To
do this, we have to divide the succeeding term by the preceding term
We have this as;
50/-20 = -20/8 = -2.5
Now, to get the next terms,
we multiply the given last term by the common ratio
That will be;
50 * -2.5 = -125
next is to multiply this by the common ratio
That will be;
-125 * -2.5 = 312.5
And lastly, we have
312.5 * -2.5 = -781.25
Answer:
30%
Step-by-step explanation:
14+ 18+ 28 = 60
18/60 × 100 = 30%
Answer:
1. Reflection
2. Dilation
3. Rotation
Step-by-step explanation:
Hey!
You can tell number one is a reflection because it didn’t change side or turn upside down or anything, it just flipped over to the other side.
You can tell number two is a dilation because it changes size.
You can tell number three is rotation because it rotated.
Hope this helps! :D
If you have any further questions, comment down below!
Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
