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Nady [450]
3 years ago
10

Ashley is preparing for a horse riding competition. She has trained her horse for 5 hours and has completed 165 rounds. At what

rate has Ashley ridden her horse in rounds per hour?
Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:33

Step-by-step explanation:

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show that the lines x2-4xy+y2=0 and x+y=3 form an equilateral triangle also find area of the triangle
arlik [135]

Given pair of lines are x² + 4xy + y² = 0

⇒ (y/x) ² + 4 y/x + 1 = 0

⇒ y/x = -4±2√3/2 = -2±√3,

∴  The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle

Clearly the pair of lines x² + 4xy +y²  = 0  intersect at origin,

The perpendicular distance form origin to x - y = 4 is the height of the

h = 2 √ 2

∵ Area of triangle = h²/√3 = 8/√3

4 0
3 years ago
The sum of a number and 5 times a second number is represented by the equation a+5b=19 . The sum of half of the first number and
TiliK225 [7]
Here you have a system of 2 equations and 2 unknowns. An easy way to solve this type is to isolate one of the variables.

12a + 2b = 8
2b = 8 - 12a
b =
b =  \frac{8 - 12a  }{2}
b = 4 - 6a

Now plug 4 - 6a into equation 1 to solve for a.

a + 5(4 - 6a) = 19

a + 20 - 30a = 19

-29a = -1

a = 1/29 (answer)

Now plug a into the equation for b

b= 4 - 6(1/29)

b= 110/29 (answer)
4 0
3 years ago
An employee worked for 8 hours on 2 days, 6 hours on 1 day, and 4 hours on 2 day
choli [55]

Answer:

A) 6.0

Step-by-step explanation:

First, total amount of hours, since average is sum of the numbers by how many numbers there is.

Day 1=8x2 hr

Day 2=6x1 hr

Day 3=4x2 hr

which is, 16+6+8=30

then divide 30 by how many days there is, which is 5 days.

30/5=6

5 0
2 years ago
When does a barbershop quartet have 16 legs?
Snezhnost [94]
When Tenors are seated and the basses standing ? XD

2 chairs will give eight additional legs to the quartet.

Hope this helps
6 0
3 years ago
Help me is it A B C or D
agasfer [191]
Pretty simple:   The   answer is     D
8 0
3 years ago
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