See the picture attached to better understand the problem
in the figure C is the <span>fire hydrant
</span>
we know that
in the right triangle ABC
AB=opposite side angle x
BC=adjacent side angle x
tan x°=AB/BC-----> 125/72
x=arc tan (125/72)-----> x=60.06°
the answer is
the angle of elevation from the fire hydrant to the top of the building is 60.06°
Answer:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Step-by-step explanation:
We proceed to solve algebraically and explain each step:
1) GIven
2) Commutative property
3) Distributive property/Definition of addition
4) Definition of addition
5) Compatibility with addition
6) Existence of additive inverse/Modulative property
7) Compatibility with multiplication
8) Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Hence, we have the following answers:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Answer:
two points where the line is directly on them are (-3, -2) and (0, 3)
to find the slope you do rise/ run
so start at the first point and count up and right to the second. you'll count up 5 units and right 3 units. so the slope is 5/3
Step-by-step explanation:
Easy math 2.2×9= 19.8 then you multiply that by 5. answer is 99 gallons
Answer:
27a^3b^8+8a^9b^12 (D)
Step-by-step explanation:
We are to determine which of the expression above in the options satisfy sum of a cube.
For an expression to considered sum of a cube, it must meet two conditions:
1) the expression would have same sign. It is mostly positive. If both are negative, the negative sign could be factored out.
2) Each of the term in the expression must be a cube. That is, each term must be the result of multiplying the same expression three times.
Let's check out the expressions in the options:
a) -27a^3b^6+8a^9b^12
The two terms in the expression have opposite signs
b) -9ab^6 +9610
The two terms in the expression havd opposite signs
c) 9ab^6 + 8a^12
The two terms in the expression have same signs. But 9ab^6 isn't a cube as we can't multiply a tern 3times to derive it, but 8a^12 is a cube.
d)27a^3b^8+8a^9b^12
The two terms in the expression have same signs (positive). 27a^3b^8 is a cube, 8a^9b^12 is also a cube
27a³b^8 = 3ab² × 3ab² × 3ab²
8a^9b^12 = 2a³b⁴ × 2a³b⁴ ×2a³b⁴
From the options above 27a^3b^8+8a^9b^12 is sum of a cube