Answer:
726
Step-by-step explanation:
Here p = k / q², and 24 = k / 121, or k = 2904
Then p = 2904 / q²
If q = 2, p = 2904 /4 = 726
<h3>
Answer: Choice D) 31.2 miles</h3>
This value is approximate.
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Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
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To sum things up so far, we have these known properties of triangle ABC
- angle A = 107 degrees
- side c = side AB = 24 miles
- angle B = 42 degrees
- angle C = 31 degrees
Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
12,871 rounded to nearest thousand = 13,000.
6281 rounded to nearest thousand = 6,000.
5146 rounded to nearest thousand = 5,000.
In total, 13,000 + 6,000 + 5,000 = 24,000.
Answer:
Step-by-step explanation:
Numer 1: The answer to this problem is 4 pounds
Numer 2: 13 cups
Explanation:
Four jars of sauce with 26 oz would be a total of 104 ounces
4 x 26 = 104
1 cup contains 8 ounces.
104 oz x 
=13 cups
Numer 3: Since, 1 quartz = 33.307 ounces ( approx )
⇒ 3 quartz = 99.921 ounces
If the total number of players = 16,
And, the given fluid is divided equally among these players,
Then the total quantity of fluid each player get
=
=6.24505625= 6.245
Hence, each player will get around 6.245 ounces of the drink.
Number 4:
36 inches or 3 feet is the correct answer
Number 5 ;
The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...
There are:
64 boxes of pencils
1 box weighs 2.5 ounces
Find its total weight in pounds.
1 ounce = 0.0625 pounds
64 boxes * 2.5 ounces = 160 ounces
160 ounces * 0.0625 pounds/1 oz = 10 pounds.
The 64 boxes of pencils weigh 10 pounds.
Answer:
The faster bus moves at 83mi/h and the slower one moves at 69mi/h.
Step-by-step explanation:
Let's define:
R₁ = rate of bus 1, this is the faster one.
R₂ = rate of bus 2, this is the slower one.
We know that one bus travels 14mi/h slower, then:
R₂ = R₁ - 14mi/h.
Now we know that:
Distance = Speed*Time.
If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:
R₁*2h + R₂*2h = 304 mi
Then we have the two equations:
R₂ = R₁ - 14mi/h
R₁*2h + R₂*2h = 304 mi
The first step is to replace the first equation in the second one, to get:
R₁*2h + (R₁ - 14mi/h)*2h = 304 mi
And now we can solve this for R₁.
R₁*2h + R₁*2h - 14mi/h*2h = 304 mi
R₁*4h - 28mi = 304mi
R₁*4h = 304mi + 28mi = 332mi
R₁ = 332mi/4h = 83mi/h
The faster bus moves at 83mi/h
And we know that the slower one moves at 14mi/h slower than this, then:
R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h
