Answer:
22.84, 5.83
Step-by-step explanation:
Pythagoras theorem states that: a^2+b^2=c^2
So, for red triangle, it will be: 9^2+21^2=b^2
81+441=b^2
522=b^2
square root of 522=b
22.84=b
For purple one,
3^2+5^2=a^2
9+25=a^2
34=a^2
square root of 34=a
5.83=a
Answer:
6m
Step-by-step explanation:
Set up a proportion:
x/1.5=10/2.5
Cross multiply:
15/2.5=2.5x/2.5
x=6
The palm tree is 6m tall.
Hope this helps!
Answer:
13/102
Step-by-step explanation:
In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.
Probability of drawing a black card = 26/52 = 1/2
Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.
Probability of drawing a heart from this deck of 51 = 13/51
In general, for the probability of event A <u>and then</u> event B, we multiply.
1/2 x 13/51 = 13/102
Answer:
64 degrees
Step-by-step explanation:
Lets find the measure of the other angle in the other triangle with measures of 84 and 36.
Since there are 180 degrees in a triangle, we just add the other two angles and subtract from 180:
84 + 36 = 120
180 - 120 = 60
So the measure of the other angle in the other triangle is 60. Since there is a right angle we subtract 60 from 90
90 - 60 = 30
So the triangle with the missing angle has two angles with measures of 86 and 30. Now we add the measures and subtract from 180 again.
86 + 30 = 116
180 - 116 = 64
So the missing angle has a measure of 64 degrees
