Answer:
32.1869
Step-by-step explanation:
Formula :
for an approximate result, multiply the length value by 1.609
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Hi there!
When we have an equation standard form...

...the formula of the discriminant is
D = b^2 - 4ac
When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions
1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0
Plug in the values from the equation into the formula of the discriminant

D > 0 and therefore we have two real solutions.
2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0
Again, plug in the values from the equation into the formula of the discriminant.

D = 0 and therefore we have one real solution.
~ Hope this helps you.
Answer:
The rock formation is approximately 7 feet tall.
Step-by-step explanation:
<em>We can visualize this situation as a triangle and know that the bottom side is </em><em>10</em><em> and the angle of elevation (the angle created by Mike and the ground, looking to the top of a rock). With this information, we can use tangent to solve.</em>
<em>x = the height of the rock formation</em>
tan(22°) = x/10
10 tan(22°) = x
x = ~4.04 feet
<em>We also have to add the </em><em>3 feet</em><em> to it because it is being measured 3 feet above the floor.</em>
x + 3 = 7.04 feet
There are different formulas for each different shape.
Answer:
3/4 bucket
Step-by-step explanation:
Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour
Water leaking : time taken
Let x = amount of water leaking per hour
3/10 : 2/5 = x : 1
3/10 ÷ 2/5 = x / 1
3/10 × 5/2 = x / 1
15 / 20 = x / 1
Cross product
15 * 1 = 20 * x
15 = 20x
x = 15/20
= 3/4
3/4 bucket of water is leaking per hour