Answer:
Choice D - 8cm and 9cm.
Step-by-step explanation:
The other sides are not greater than 13.
A: 5 + 8 = 13
B: 6 + 7 = 13
C: 7 + 2 = 9
However, <u>D is greater than 13 and is the correct answer.</u>
D: 8 + 8 = 16.
For any arbitrary 2x2 matrices
and
, only one choice of
exists to satisfy
, which is the identity matrix.
There is no other matrix that would work unless we place some more restrictions on
. One such restriction would be to ensure that
is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking
we'd get equality.
6x-21>3
Add 21 to both sides
6x>24
Divide 6 on both sides
X>4
14x+11>-17
Subtract 11 from both sides
14x>-28
Divide 14 on both sides
X<-2
Answer:
13.52 ounces of water
Step-by-step explanation:
80% equals 8/10
So we multiply 16.9x8/10 getting 13.52 ounces
Answer: a) Yes, there is enough fance
b) 58.1° and 47.9°
c) The city will not approve, because 1/3 of the area is just 2220.5ft²
Step-by-step explanation:
a) using law of cosines: x is the side we do not know.
x² = 126² + 110² - 2.126.110.cos74°
x² = 20335.3
x = 142.6 ft
So 150 > 142.6, there is enough fance
b) using law of sine:
sin 74/ 142.6 = sinα/126 = sinβ/110
sin 74/ 142.6 = sinα/126
0.006741 = sinα/126
sinα = 0.849
α = sin⁻¹(0.849)
α = 58.1°
sin 74/ 142.6 = sinβ/110
sin 74/ 142.6 = sinβ/110
0.006741 = sinβ/110
sinβ = 0.741
β = sin⁻¹(0.741)
β = 47.9°
Checking: 74+58.1+47.9 = 180° ok
c) Using Heron A² = p(p-a)(p-b)(p-c)
p = a+b+c/2
p=126+110+142.6/2
p=189.3
A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)
A = 6661.5 ft²
1/3 A = 2220.5
So 2300 > 2220.5. The area you want to build is bigger than the area available.
The city will not approve
