Answer:
Measure of angle θ = 38.7°
Step-by-step explanation:
In the figure attached,
Given triangle has the measure of two legs = 5 units and 4 units
Measure of one angle = θ
By applying tangent rule in the given triangle,
tanθ = 
= 
= 0.8
θ = 
θ = 38.66
≈ 38.7°
Therefore, measure of angle θ is 38.7°.
A because, all the numbers multiplied by those factors equals their spot in the number
Answer:
The width of the garden is 1.16 m
Step-by-step explanation:
step 1
<em>Find the area of the garden</em>
To find out the area of the garden multiply by 1/3 the area of the building

step 2
Find the length side of the square building
The area of a square is

where
b is the length side of the square
we have

so

step 3
Find the width of the garden
Let
x ----> the width of the garden
we know that
The area of the building plus the area of the garden is equal to

solve for x

Solve the quadratic equation by graphing
using a graphing tool
The solution is x=1.16 m
see the attached figure
therefore
The width of the garden is 1.16 m
Find the exact value
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
----> exact value
Volume formula: V = hwl
V = 3*3*4
V = 9*4
V = 36
Therefore, the volume is 36cm³
Best of Luck!
Answer: CURRENT AGES: C = 35, D = 5 AGES IN 5 YEARS TIME: C = 40, D = 10
Step-by-step explanation:
We need to use algebra here.
Let C = Coffee's age
Let D = Daughter's age
C = 7 x D
C + 5 = 4 x (D + 5)
C + 5 = 20 + 4D
C = 15 + 4D
7D = 15 + 4D
D = 5
C = 7 x 5
C = 35