Answer:
4:1
Step-by-step explanation:
There are 4 infielders and 1 battery
It's definitely cereal because you can see the different contents, making it heterogeneous. The rest of the options, whether mixtures or natural elements, are homogeneous because all the contents come together nicely.
<u>We are Given:</u><u>_______________________________________________</u>
ΔABC right angled at B
BC = 8
AC = 20
<u>Part A:</u><u>_____________________________________________________</u>
Finding the length of AB
From the Pythagoras theorem, we know that:
AC² = BC² + AB²
replacing the given values
(20)² = (8)² + AB²
400 = 64 + AB²
AB² = 336 [subtracting 64 from both sides]
AB = 18.3 [taking the square root of both sides]
<u>Part B:</u><u>_____________________________________________________</u>
Finding Sin(A)
we know that Sin(θ) = Opposite / Hypotenuse
The side opposite to ∠A is BC and The hypotenuse is AC
So, Sin(A) = BC / AC
Sin(A) = 8/20 [plugging the values]
Sin(A) = 2/5
<u>Part C:</u><u>_____________________________________________________</u>
Finding Cos(A)
We know that Cos(θ) = Adjacent / Hypotenuse
The Side adjacent to ∠A is AB and the hypotenuse is AC
So, Cos(A) = AB / AC
Cos(A) = 18.3/20 [plugging the values]
Cos(A) = 183 / 200
<u>Part D:</u><u>_____________________________________________________</u>
Finding Tan(A)
We know that Tan(θ) = Opposite / Adjacent
Since BC is opposite and AB is adjacent to ∠A
Tan(A) = BC / AB
Tan(A) = 8 / 18.3 [plugging the values]
Tan(A) = 80 / 183
Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.
Step-by-step explanation:
Since we have given that
Length of string = 10 feet
Angle of elevation = 45°
We need to find the distance between the fence and where the string is pegged to the ground.
We will apply "Cosine formula "
Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.
Answer:
13,125 ducks
Step-by-step explanation:
The ratio of ducks:geese on the first day was:
175:63
On the last day (end of migration), he counted 4,725 geese.
To find the number of ducks using the same ratio, we are first going to divide 4,725 by 63 to find what number all the ducks and geese multiplied by:
4,725/63 = 75
The geese multiplied by 75. This means the ducks also multiplied by 75:
175*75 = 13,125
Barnaby counted 13,125 ducks.
Hope it helps (●'◡'●)
