Answer:
3 : 8
Step-by-step explanation:
9 boys + 15 girls = 24 Ratio is boys to total number of students = boys : total.no = 9 : 24 You simplify= 9 ÷ 3= 3 and 24 ÷ 3 = 8 <u>Answer</u> = boys : total.no = 3 : 8
Answer:
152.99 m
Step-by-step explanation:
Using the solution diagram attached below :
We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;
Tan θ = opposite / Adjacent
Tan 24 = h / 340
h = tan 24 * 340
h = 151.37775
Hence, the height will be (h + distance from eyelevel to ground)
151.37775 + 1.61
= 152.98775
= 152.99 m
Look at the tenths place when rounding to the nearest whole number. It is larger than 5 so round up. It will be 57.
Equation parallel it'll have the same slope.
m = 2/5
y - y1 = m(x - x1)
y - 0 = 2/5(x - 5)
y = 2/5x - 2
Answer:
(- 2, 1 ) and (1, 4 )
Step-by-step explanation:
Given the 2 equations
y = - x² + 5 → (1)
- x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by adding x to both sides
y = x + 3 → (3)
Substitute y = x + 3 into (1)
x + 3 = - x² + 5 ( subtract - x² + 5 from both sides )
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
Substitute these values into (3) for corresponding values of y
x = - 2 : y = - 2 + 3 = 1 ⇒ (- 2, 1 )
x = 1 : y = 1 + 3 = 4 ⇒ (1, 4 )
