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Ulleksa [173]
3 years ago
15

Find the length of dm in the given fig.​

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

DM=12

Step-by-step explanation:

(Let the point where the altitude from D intersects AB be called as point E.) First, let's find the area of parallelogram ABCD. The area of a parallelogram is simply b*h=bh, where b is the parallelogram's base and h is the parallelogram's height. If we let AB and DE be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram ABCD will be AB*DE=15*8=120.

Now, how does this information matter, you might ask? Well, we can take either AB <em>or </em>CB to be the base and either DE or DM to be the height. In this case, let's take the latter two options, as we are looking to find the length of DM.

Therefore, we know that the area of parallelogram ABCD can also be found by calculating CB*DM. Since we know the values of the area and CB, we can write the following equation to solve for DM:

Area = CB*DM

120=10*DM (Substitute Area=120 and CB=10 into the equation)

\frac{120}{10}=\frac{10*DM}{10} (Divide both sides of the equation by 10 to get rid of DM's coefficient)

12=DM (Simplify)

DM=12 (Symmetric Property of Equality)

Hope this helps!

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A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold
Margaret [11]

Answer:

0.02

Step-by-step explanation:

5/69.12=0.0723

3/69.12=0.0434

0.0723-0.0434=0.0289

=0.02

5 0
2 years ago
WILL GIVE BRAINLIEST!!!<br><br> Select the graph of y = 3 sin (x + pi/4)
Romashka-Z-Leto [24]

Answer: it’s b

Step-by-step explanation:

a-p-e-x quiz

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2 years ago
The population of your hometown can be modeled by the equation P equals 2538 left parenthesis 1.025 right parenthesis to the pow
Degger [83]

Answer:

2538

2.5%

Step-by-step explanation:

The population equayio since year 2000 can be modeled mathematically as :

P = 2538(1.025)^t

This is an exponential growth function which is represented by the general formula :

y = a(b)^t

Where, a is the initial population ;

b = growth factor ; b = (1 + r) where r = growth rate

Comparing the equations, the population in year 2000 represents the initial population, a = 2538

The percentage Rate of increase in population is :

(1 + r) = 1.025

r = 1.025 - 1

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5 0
2 years ago
4) Flying to Tahiti with a tailwind a plane averaged 259 km/h. On the return trip the plane only
Tpy6a [65]

Answer: C) Plane: 235 km/h, Wind: 24 km/h

Step-by-step explanation:

Given that :

Average Speed while flying with a tailwind = 259km/hr

Return trip = 211km/hr

Let the speed of airplane = a, and wind speed = w

Therefore ;

Average Speed while flying with a tailwind = 259km/hr

a + w = 259 - - - (1)

Return trip = 211km/hr

a - w = 211 - - - (2)

From (2)

a = 211 + w

Substitute the value of a into (1)

a + w = 259

211 + w + w = 259

211 + 2w = 259

2w = 259 - 211

2w = 48

w = 48/2

w = 24km = windspeed

Substituting w = 24 into (2)

a - 24 = 211

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6 0
3 years ago
Which is equivalent to 2^-3/2^2
Veronika [31]

Answer:

1/32

Step-by-step explanation:

To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.

Example I would like to find out 2^{-2},

You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: 1/2^{2}

Which would be 0.25 or 1/4

Lets apply this knowledge to the following question:

1. 2^{-3} / 2^{2}

2. \frac{1}{8} / 4

3. 1/32

4 0
2 years ago
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