Answer:
3 cm by 10 cm
Step-by-step explanation:
Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.
98 = 1·98 = 2·49 = 7·14
The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...
7 - 4 = 3 . . . . cm
14 -4 = 10 . . . . cm
The dimensions of the original rectangle are 3 cm by 10 cm.
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
Now plug in your points
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!
Answer:
Step-by-step explanation:
The given expression has the first term n=1, so exponent = n-1 = 0
Similarly, for the second term n = 2, n-1 = 1
These exponents eliminate options 2 and 4.
Furthermore, the base is a fraction of 1/2, which applies to options 1 and 2 only.
The only viable option left that satisfies all conditions is option 1, which has exponents 0 and 1, with a base of (1/2).
Answer:
Step-by-step explanation:
r = 9.1 m
SA =3πr²
Answer:
<h2>231in^3</h2>
Step-by-step explanation:
We know that the volume of a sphere/globe is given as
V=4
/3πr^3
but the circumference is expressed as
C=2πr
solving for r given that C=24
24=2*3.142r
24=6.284r
r=24/6.284
r=3.8in
put r=3.6 in the expression for volume we have
V=4
/3π(3.8)^3
V=4
/3π(55
V=(220.59*3.142)/3
V=693.12/3
V=231in^3
The volume of the globe is 231in^3
