Answer:
105km
Step-by-step explanation:
1/7=15/x
So x=7*15
x=105
Answer:
m = 32g
Step-by-step explanation:
The proportion between m and g can be written ...
m = kg
where k is the constant of proportionality.
__
We can find its value by dividing by g:
k = m/g
Using any pair of corresponding values from the table, we find ...
k = 64/2 = 32
The relationship between m and g can be expressed by the equation ...
m = 32g
Problem: In chess, Justin won 20 games, tied 8 games, and lost 14 games last year. What is Justin’s ratio of total games to tied gamesSolutions:=> There are a total of 20 games=> 8 of them were tied=> 14 games were lost.Now, let's find the ratio of the tied games to the total games.=> Since the total game is 20 and the tied games are 8, therefore the ratio will be:<span>=> 8 : 20, where 8 are the tied games and 20 is the total</span>
Answer:
Maria is right
Height=265 ft
Step-by-step explanation:
In the attached diagram, the length of the kite is BC and the height of the Kite above the ground is CE.
Now, CE=CD+DE
DE=5 ft
Next, we have to determine the length of CD.
In Triangle BCD

Therefore:
CE=260+5=265 ft
From the above, we see that <u>Maria is right.</u>
Billy erroneously applied the wrong trigonometric ratio (Cosine) which made him get a value of 150ft.
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)