Answer: Carson's average points in each game = 122
Jana's average points in each game = 104.4
Step-by-step explanation:
By the given table,
1) The total points Carson get in the game = 366,
He played games = 3,
⇒ His average point in each game = Total points he get/ total game he play
= 366/3
= 122
2) Now, The total points Jana get in the game = 522,
She played games = 5,
⇒ Her average point in each game = Total points she get/ total game she play
= 522/5
= 104.4
The change of base formula looks like this:
log x
(log to the base b of ) x = ----------- (you could also use ln instead of log)
log b
log 40 1.602
Then (log to the base 7 of) 40 = ------------ = ------------- = 1.896 (answer)
log 7 0.8451
check (on calculator): 7^1.896 = 40.023 (close enough to 40 to verify
that this method "worked")
Answer:
300ft
Step-by-step explanation:
Pythagorean Theorem
180²+240²=c²
32400+57600=c²
90,000=c²
√90,000=c
300=c
Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
Answer:
Assuming that the figure is a rectangle:
x=12
angle GJH=22 degrees
Step-by-step explanation:
angle GHJ=angle IJH
5x+8=7x-16
simplify
2x=24
x=12
angle IJH=7x-16
substituting for x
IJH=7(12)-16=84-16=68 degrees
angle GJH=90-IJH
angle GJH=22 degrees
