<h3>
Answer: Choice C. a = 17, b = 6</h3>
Explanation:
A kite is any quadrilateral where we have two pairs of congruent consecutive sides (in contrast to a parallelogram where the opposite sides are congruent). Draw a segment connecting points G and J. Triangle GHJ is congruent to triangle GFJ. We'll use the fact that GH = GF, and also FJ = HJ
So,
GH = GF
2a-4 = 30
2a = 30+4
2a = 34
a = 34/2
a = 17
and
FJ = HJ
3b+6 = 24
3b = 24-6
3b = 18
b = 18/3
b = 6
Answer: 145 cans
Step-by-step explanation:
arithmetic sequence
aₙ = a₁ + (n-1).r
aₙ → last term
a₁ → 1st term
n → quantity of terms
r → common difference
a₁ = 1 (one can at the top)
aₙ₋₁ = 25
aₙ = 28
To find out How many cans are in the entire display, we need the SUM of the arithmetic sequence: S = (a₁+aₙ)n/2
∴
S = (1+28).n/2
n = ?
aₙ = a₁ + (n - 1).r
r = 28 - 25 = 3
28 = 1 + (n - 1).3
27 = (n - 1).3
27/3 = (n - 1)
9 = n - 1
n = 9 + 1 = 10
S = (1+28).n/2
S = (1+28).10/2 = 29.10/2 = 29.5 = 145
Answer:
Gianna uses 24 raspberries
Step-by-step explanation:
there are 2 strawberries in each bag, if Gianna uses 16 then she must have 8 bags.
So 8 times 3 is 24 (The 3 is how many raspberries in a bag)
So Gianna uses 24 raspberries
Hope this helps!
Let
and
. Then the cylinder is given when we take
.
The cylinder's equation is independent of
, which means the intersection is completely determined by the value of
in the plane equation. So the intersection can be described by the vector function
.
The length of the intersection curve
is given by the line integral
Answer:
58
Step-by-step explanation:
1 isn't a prime number. 2 is the smallest, which is in 58
