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aev [14]
3 years ago
9

Qaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

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Find the length of dm in the given fig.​
lesya692 [45]

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!

4 0
3 years ago
Really need big help on this one please
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Answer:

Answer equals to 55.75ftsquare

Step-by-step explanation:

7 0
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Answer:

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Step-by-step explanation:

46/2 = 23

difference is 20, add 10 to one and subtract 10 from 23, giving you two numbers: 13 and 33.

7 0
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