Answer:
The angle is 55°
Step-by-step explanation:
To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:
we will use trigonometric ratio to find the angle
SOH CAH TOA
sinФ = opposite / hypotenuse
cosФ = adjacent / hypotenuse
tanФ = opposite /adjacent
from the diagram below, opposite = 10 feet and adjacent = 7 feet
the best trig.ratio to use is tan
tanФ = opposite /adjacent
tanФ = 10 /7
tan Ф =1.42857
to get the value of Ф, we will take the tan⁻¹ of both-side
tan⁻¹ tan Ф = tan⁻¹ 1.42857
Ф= tan⁻¹ 1.42857
Ф≈55°
Therefore, the angle is 55°
Covert the problem into and equation using formulas
Answer:
Step-by-step explanation:
1) The solid is a cube. The formula for determining the volume of a cube is expressed as
Volume = s³
s = 5 cm
Therefore,
Volume = 5³ = 125 cm³
2) The solid is a cuboid. The formula for determining the volume of a cuboid is expressed as
Volume = lwh
l = 10 inches
w = 5 inches
h = 2 inches
Therefore,
Volume = 10 × 5 × 2 = 100 inches³
3) The solid is a square base pyramid. The formula for determining the volume of a square base pyramid is expressed as
Volume = Area of square base × height
Area of square base = 3² = 9 m²
h = 10 m
Volume = 9 × 10 = 90m³
Answer:
Step-by-step explanation:
To factor out -3/4 out of that equation, multiply and divide by -3/4.
Say ;
=
=
Now, rearranging and making necessary commutations.
=
=
Factoring -3/4 we get an equation without any fractions
= -2x + 3y
Answer:
Height is 1 1/24 unit.
Step-by-step explanation:
Given:
volume = 5/24 unit³
base area = 1/5 unit²
Rectangular prism:
volume = length * width * height
base area = length * width
Volume = base area * height
height = volume / base area
h = 5/24 ÷ 1/5
h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit
(hope this helps can i plz have brainlist :D hehe)
