9514 1404 393
Answer:
19,463 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)ij·sin(K)
Filling in the values, we find the area to be ...
A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²
Answer:
34) A
35) C
36) D
Step-by-step explanation:
34) The perimeter of a triangle is equal to the sum of the lengths of its sides
Sides: (6.2p + 4.5q) + (3.4p - 0.7r) + (2.9r - 4.1q)
Combine like terms (same variables)
(6.2p + 3.4p) + (4.5q - 4.1q) + (2.9r - 0.7r)
9.6p + 0.4q + 2.2r
A
35)
Time possibilities
1 hour - $3 - $5 = $-2 No
2 hours - $6 - $5 = $1 Yes
3 hours - $9 - $5 = $4 Yes
4 hours - $12 - $5 = $7 Yes
5 hours - $15 - $5 = $10 Yes
6 hours - $18 - $5 = $13 Yes
7 hours - $21 - $5 = $16 Yes
8 hours - $24 - $5 = $19 No
9 hours - $27 - $5 = $22 No
The possible hours that Ms. Barnes can park are 2 - 7 hours
The only inequality graph that represents all of these values is C
36)
<h3>
</h3>
Convert to improper fractions
<h3>
</h3>
Divide by finding the reciprocal
<h3>
</h3><h3 /><h3>
*
</h3><h3 /><h3>
</h3>
Convert back to a mixed number
D
Hope this helps :)
There would approximately be 36 ordered triples
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
</span>
100°+(4y+25)+(3y+20)=180°
100+4y+25+3y+20=180
7y+145=180
7y=35
y=5
100°; 45°; 35°
