Answer:
The tree is 20.6 ft tall.
Step-by-step explanation:
Please check the attached graph.
From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.
The diagram makes a right-angled triangle.
- Given the angle = Ф = 38⁰
- Hypotenuse = Tree length = c ?
Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:
substituting a=5, b=20
ft
Thus, the tree is 20.6 ft tall.
Answer:
Step-by-step explanation:
y = 3x+4
Let x = 0 to find the y intercept
y = 3*0+4
y =4
The y intercept is 4
Step-by-step explanation:
Step one:
We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.
Moreso, <em>a coupon is a voucher entitling the holder to a discount off a particular product</em>. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.
Step two:
<em>Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is</em>
=40/100*100
=0.4*100
=$40 off
= 100-40
=$60
<u>The total percent of reduction 10+40= 50%</u>
<u>This is equal to a discount on the sales price</u>
Remember the equation to find the circumference?
Equation of circumference: Pi x 2(radius)
Therefore, 3.141592654 x 2(6ft) = 37.7 feet
<em><u>Answer</u></em>
c. It divides the radius by 2.
<em>Explanation</em>
The general equation of a circle is
(x-h)² + (y-k)² = r²
Where (h, k) makes the coordinates of the circle and r the radius.
x² + y² = 25 For this equation,
center (0, 0)
Radius = √25 = 5
4x² + 4y² = 25 First simplify this equation
4x² + 4y² = 25 ⇒ x² + y² = 25/4
center (0, 0)
Radius = √(25/4) = 5/2
The radius has been divided by 2
