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aivan3 [116]
3 years ago
5

Solve.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0

Answer:

2/5=0.4

0.4*11.25=4.5

Step-by-step explanation:

You might be interested in
Car b is 250 miles east from car a, car b is traveling west 60mph while car a is traveling north 80mph. What is the minimum dist
Bogdan [553]

Answer:

d = 200 miles

t = 1.5 hrs after start

Step-by-step explanation:

Set the origin at car a starting point.

equation for distance to car b

x = 250 - 60t

equation for distance to car a

y = 80t

distance between car a and car b

d = √((250 - 60t)² + (80t)²)

d = √(62500 - 30000t + 3600t² + 6400t²)

d = √(62500 - 30000t + 10000t²)

d = 100√(6.25 - 3t + t²)

setting the derivative to zero

0 = 100t - 150 / √(t² - 3t - 6.25)

The denominator cannot be zero, so the numerator must

0 = 100t - 150

150 = 100t

t = 1.5 hrs

d = √((250 - 60(1.5))² + (80(1.5))²)

d = √(160² + 120²)

d = 200 miles

8 0
3 years ago
Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
4 years ago
This number is less than 200 but greater than 100. The ones digit is 5 less than 10. The tens digit is 2 more added of the ones
viva [34]
The number is 175

greater than 100 less than 200, 10-5=5, 5+2=7

1 7 5
----- ----- -----
8 0
3 years ago
If AB=6, BC=4, and AE=9, find ED
elena-s [515]
It is 7 cuz u - 2 and add 5 and 2-6=4+5=9-2=7
7 0
3 years ago
What is a true statement about the Diagram?
Inessa05 [86]

Answer:

C

Step-by-step explanation:

m1 and m2 are adjacent angles on a straight line, hence have the sum 180.

5 0
3 years ago
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