we can use formula

where
fL is listener frequency
fs is siren frequency
va is the speed of sound in air
vs is police car speed
so, we have



now, we can change it into m/s


now, we can plug it

..............Answer
Answer:
d. y = -2×
Step-by-step explanation:
First to solve find the slope using the formula,
. The slope equals 20/-10 or -2. Then plug the slope and point, (-5,10), into slope-point form. y-10=-2(x+5), then solve for y. This gives you y=-2x+0 or y=-2x.
Answer:
A) 6.32 in.
B) 71.56°
C) 36.88°
Step-by-step explanation:
To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.
A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:

B) The angle asked is the angle ∠A, then, you have:

∠
°
C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.
By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:
∠
Then:

°
Are there choices? I would say 4x1x3, or 12 options after the color is chosen.
Answer:
72
Step-by-step explanation:
We are assuming that all girls in the group bought the same number of items.
Therefore, we need to find the highest common factor of 72, 144 and 216.
HCF
72 = 2 * 2 * 2 * 3 * 3
144 = 2 * 2 * 2 * 2 * 3 * 3
216 = 2 * 2 * 2 * 3 * 3 * 3
The product of the emboldened numbers is the highest common factor.
That is:
2 * 2 * 2 * 3 * 3 = 72
Therefore, the largest possible number of girls in the group is 72.