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Marysya12 [62]
2 years ago
9

Create your own unit rate example in which you have to determine the unit rate of two fractions with different units. Explain wh

at the two fractions are, write the scenario, and calculate the unit rate. Do not forget your units and remember to show your work!
Mathematics
1 answer:
Verdich [7]2 years ago
8 0

Manav can cover 1 mile of the distance in just 12 minutes.

<h3>How to calculate the unit rate?</h3>

The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc

if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:

Unit rate = 36min/3miles

Unit rate = 12 minutes/mile

Here,

This shows that Manav can cover 1 mile of the distance in just 12 minutes.

Learn more on unit rate here:

brainly.com/question/2375289

#SPJ1

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This is dealing with special triangles
hram777 [196]
All the sides of an equilateral triangle are the same, and all three angles are 60 degrees. If we want the height of the triangle, we can draw a vertical line straight down the center. This will bisect the top angle into two 30 degree angles and form a 90 degree corner at the base. The base will be split into two equal pieces. In this case 14 and 14 (half of 28).

To find the height, we can use a couple methods. First is Pythagorean Theorem which states that a^2 + b^2 = c^2. We know c = 28 and a = 14, so we can solve for the height. b = sqrt(28^2 - 14^2) = sqrt(588).. 588 can be factored into 196 and 3. So we can simplify the radical to 14sqrt(3).

The second way to find the height is to use trigonometry. We can use cos(30) = h/28 and solve for h to get h = 28cos30 or 14sqrt(3).

---

The next problem is asking the same thing. The altitude is the height. So use either of the methods above to get 2sqrt(3).
3 0
3 years ago
In a murder investigation, the temperature of a corpse was 32.5 degrees C at 1:30 pm and 30.3 degrees C an hour later. Normal bo
svp [43]
Let T(t) be the temperature of the body t hours after 1:30 PM. Then T(0) = 32.5 and T(1) = 30.3.

Using Newton's Law of Cooling, \dfrac{dT}{dt} = k(T - T_s), we have \dfrac{dT}{dt} = k(T-20). Now let y = T - 20, so
y(0) = T(0) - 20 = 32.5 - 20 = 12.5, so y is a solution to the initial value problem dy/dt = ky with y(0) = 12.5.
By separating and integrating, we have y(t) = y(0)e^{kt} = 12.5e^{kt}.

y(1) = 30.3 - 20\ \Rightarrow\  12.5e^{k(1)} = e^{k} = \frac{10.3}{12.5}\ \Rightarrow \\&#10;k = \ln \frac{10.3}{12.5}&#10;

y(t) = 37 - 20\ \Rightarrow\ 12.5e^{kt} = 17\ \Rightarrow\ e^{kt} = \frac{10.3}{12.5} \ \Rightarrow \\ \\&#10;kt = \ln \frac{10.3}{12.5}\ \Rightarrow\ t = \left( \ln \frac{17}{12.5}  \right)/ \frac{10.3}{12.5}  \approx -1.588 \mathrm{\ h}

≈ 95 minutes. Thus the murder took place about 95 minutes before 1:30 PM, or 11:55 AM.
6 0
3 years ago
In ΔJKL, the measure of ∠L=90°, JK = 7.3 feet, and KL = 4.7 feet. Find the measure of ∠J to the nearest tenth of a degree.
Yakvenalex [24]

Answer:

40°

Step-by-step explanation:

We can find the  tangent of ∠J using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

SOA stands for

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔJKL, where ∠L=90°, JK = 7.3 feet, and KL = 4.7 feet

As such, with respect to angle J, JK is the hypotenuse, KL is the opposite side

Hence

Sin J = 4.7/7.3

Sin J = 0.643835616

J = 40.08°

4 0
3 years ago
Read 2 more answers
What is the domain of the cluster in the scatter plot?
neonofarm [45]
............................l
3 0
3 years ago
How many millimeters are in 4.3 centimeters? How many centimeters are in 57 millimeters? Approximately how many centimeters are
3241004551 [841]

Answer:

a) 43

b) 5.7

c) 2.54

Step-by-step explanation:

The metric system is so easy to work with, everything is in base of 10, and all measures use a prefix. Here, we're talking about length, with the main measure being the meter.

1 m = 100 centimeters (centi- = 1/100)

1 m = 1000 millimeters (milli- = 1/1000)

So, for each centimeter, you have 10 millimeters.

a) How many millimeters are in 4.3 centimeters?

1 cm = 10 mm as shown above, so 4.3 cm = 43 mm

b) How many centimeters are in 57 millimeters?

10 mm = 1 cm so, 57 mm = 5.7 cm

c) Approximately how many centimeters are in an inch?

There are approximately 2.54 cm in an inch.  No real calculation to make here, it's just a unit conversion between systems, done following a known reference table.

8 0
3 years ago
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