Answer:
Step-by-step explanation:
the formula for calxulating the area if the isosceles triangle is expressed as;
b is the base of the triangle
h is the altitude
Given
b = 16ft
h = 10ft
Substitute
A = 1/2 * 16 * 10
A = 8*10
A = 80ft²
Hence the area of the triangle is 80ft²
b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side
s² = h²+(b/2)²
s² = 10²+(16/2)²
s² = 10²+(8)²
s² =100+64
s² =164
s = √164
s = 12.8ft
Hence one side of the triangle is 12.8ft
Answer:
each Tomskians will build 6 igloos per week
each Kyzylians will build 5 igloos per week
They achieved their goal
Step-by-step explanation:
6T + 5K ≥ 152
T = Tomskians
and each Tomskians will build 6 igloos per week
K = Kyzylians
and each Kyzylians will build 5 igloos per week
This is found by taking the coefficient on the inequality.
Substituting the values of T =10 and K = 19
6T + 5K ≥ 152
6*10 + 5*19 ≥ 152
60 + 95
155 ≥ 152
This is true, so they hired enough people.
Horizontal distance x(t) = ut cos θ
x(2) = 102 * 2 * cos 67 = 79.7 ft.
Vertical distance y(t) = ut sin θ - 1/2 gt^2
y(3) = 102 * 2 * sin 67 - 1/2 * 9.8 * (3)^2 = 187.78 - 44.1 = 143.7 ft.
Answer:
Pages 100 and 101
Step-by-step explanation:
Round 201 to 200 (to make it easier).
Divide 200 by 2, because it is 2 pages.
You are left with 100.
100 is one of the pages, but because you rounded down 1 number, the other number must be 101, because the pages are back to back.
I hope this made sense, this is just how I figured it out. :)
Answer:
width = 8 feet and length = 12 feet
Step-by-step explanation:
Let the width be w then the length = 3w - 12 ( 12 less than 3 times the width )
The area (A) of a rectangle is
A = length × width, that is
w(3w - 12) = 96 ← area of floor
3w² - 12w = 96 ( subtract 96 from both sides )
3w² - 12w - 96 = 0 ← in standard form for a quadratic equation
Divide all terms by 3
w² - 4w - 32 = 0
Consider the product of the factors of the constant term ( - 32) which sum to give the coefficient of the w- term (- 4)
The factors are - 8 and + 4, since
- 8 × 4 = - 32 and - 8 + 4 = - 4, hence
(w - 8)(w + 4) = 0
Equate each factor to zero and solve for w
w - 8 = 0 ⇒ w = 8
w + 4 = 0 ⇒ w = - 4
However, w > 0 ⇒ w = 8
Hence width = 8 feet
length = 3w - 12 = (3 × 8) - 12 = 24 - 12 = 12 feet
