Answer:
Bigger number = 42
Smaller number = 10
Step-by-step explanation:
Step 1: Define variables
<em>x</em> = larger number
<em>y</em> = smaller number
Step 2: Write systems of equations
x + 2y = 62
3x = y + 116
Step 3: Rewrite 1st equation
x = 62 - 2y
Step 4: Substitution
3(62 - 2y) = y + 116
186 - 6y = y + 116
186 = 7y + 116
70 = 7y
y = 10
Step 5: Plug in <em>y</em> to find <em>x</em>
x + 2(10) = 62
x + 20 = 62
x = 42
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Answer:
-8
Step-by-step explanation:
Answer:
The correct answer is second option 90 m³
Step-by-step explanation:
Formula:
Volume of prism = Base area * Height
Area of rectangle = length * breadth
From the figure we can see that height of prism = 5 in
Base is a rectangle with length = 6 in and breadth = 3 in
<u>To find the Base area
</u>
Area of rectangle= = length * breadth = 6 * 3 = 18
<u>To find the volume of prism</u>
Volume of prism = Base area * Height = 18 * 5 = 90 m³
Therefore the correct answer is second option 90 m³
Answer:
I think the answer is..... 4(2+v)=3; v=1 pound of chopped vegetables.
❤ I hope this helps you, kind stranger! ❤