Answer: 
Step-by-step explanation:
The area of a triangle can be calculated with the formula:
The base of the triangle is "b" and the height of the triangle is "h",
In the figure you can observe that the base and the height of the triangle are:
Knowing these values, you can substitute them into .
Therefore, the area of the triangle is:
Answer:
The answer would be B: 8 ones, 4 tenths, and 5 hundredths.
Explanation:
First, you would have to use the equation: 1.57 + 6.88 = ?
Do the math, and 1.57 + 6.88 = 8.45
Now look at the answer choices. You can automatically get rid of every answer choice but B because none of them have an 8 in the ones place.
Answer:
v=9
Step-by-step explanation:
Answer:
a) 820
b)450
c) -540
d) -294
e) 1440
f) 1425
Step-by-step explanation:
a) it is an arithmetic progression with ratio=4
a1=3,
a2=3+r=3+4=7.....
a20=a1+19r
so a20=3+19*4=3+76=79
S=(a1+an)*n/2 where n=20
so S=(3+79)*20/2=820
b) a15=a1+14*r=2+14*4=2+56=58
S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450
It is the same formula for all the exercises
S=(a1+an)*n/2 , where n is the number of terms
c) a40=30+39*(-3)=30-87=-57
So S=(30-57)*40/2=-540
d) a14=5+13*(-4)=5-52=-47
S=(5-47)*14/2=-42*14/2=-42*7=-294
e) it is 5+7+9+......+75
nr of terms = (an-a1) :r+1=(75-5):2+1=36
S=(5+75)*36/2=36*40=1440
f) ratio=7-4=3
the same formula for n= (91-4):3+1=87:3+1=29+1=30
S=(4+91)*30/2=95*30/2=2850/2=1425
Answer:
x=2
Step-by-step explanation:
x-3=4x-9
x=4x-6
-3x=-6
x=2
