Answer:
Below.
Step-by-step explanation:
Letter P is drawn - Impossible because there is no paper with P on it.
Letter drawn is a consonant - Likely because there are 6 out of 8 letters which are consonants.
Letter drawn is a vowel - Unlikely because there are only 2 vowels out of 8 letters.
Letter drawn is one of the first ten letters in the alphabet - Equally likely as there is 4 of these out of a total of 8.
Letter is L - Unlikely as there is only 1 piece of paper with L on it.
The paper draw has one letter on it - Certain as there is a letter on all the pieces of paper.
Answer:
21,000
Step-by-step explanation:
........................
A)
To be similar triangles have to have equal angles
triangle ZDB'
1)angle Z=90 degrees
triangle B'CQ
1) angle C 90 degrees
angle A'B'Q=90
DB'Z+A'B'Q+CB'Q=180, straight angle
DB'Z+90+CB'Q=180
DB'Z+CB'Q=90
triangle ZDB'
DZB'+DB'Z=180-90=90
DB'Z+CB'Q=90
DZB'+DB'Z=90
DB'Z+CB'Q=DZB'+DB'Z
2)CB'Q=DZB' (these angles from two triangles ZDB' and B'CQ )
3)so,angles DB'Z and B'QC are going to be equal because of sum of three angles in triangles =180 degrees and 2 angles already equal.
so this triangles are similar by tree angles
b)
B'C:B'D=3:4
B'D:DZ=3:2
CQ-?
DC=AB=21
DC=B'C+B'D (3+4= 7 parts)
21/7=3
B'C=3*3=9
B'D=3*4=12
B'D:DZ=3:2
12:DZ=3:2
DZ=12*2/3=8
B'D:DZ=CQ:B'C
3:2=CQ:9
CQ=3*9/2=27/2
c)
BC=BQ+QC=B'Q+QC
BQ' can be found by pythagorean theorem
Answer: 3 mi/h
Step-by-step explanation:
Here we have to find the speed
at which Sarah walks to school, knowing the distance
she has walked and the time
she expends.
So, in this case we can use the following equation:
![V=\frac{d}{t}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bd%7D%7Bt%7D)
Where:
![d=1.5 mi](https://tex.z-dn.net/?f=d%3D1.5%20mi)
![t=30 min \frac{1 h}{60 min}=0.5 h](https://tex.z-dn.net/?f=t%3D30%20min%20%5Cfrac%7B1%20h%7D%7B60%20min%7D%3D0.5%20h)
Solving:
![V=\frac{1.5 mi}{0.5 h}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1.5%20mi%7D%7B0.5%20h%7D)
This is Sarah's speed