Answer: YES
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- Area of each stain=less than π/100 square feet
- Each one 3 feet from the nearest wall
- Area of rug: 9π square feet
- The centers of the stains are less than 4 feet apart.
First, we have to apply the formula AREA OF A CIRCLE(A)= π r², to obtain the radius of each stain:
π/100 = π r²
π/100 (1/ π)= π r²
1/100 = r²
√1/100 =r
r = 1/10 ⇒ radius of each stain
The centers of the stains are less than 4 feet apart, so:
Max diameter needed to cover is 4+ 1/10 + 1/10 = 21/5 = 4.2
Finally, we have to obtain the diameter of the rug to compare:
Area of rug: 9π
: 9π = π r2 ⇒ r= 3
⇒ d (diameter)= 3 x2 = 6
ft
With statements (1) and (2), we know that the diameter of the rug (6ft) can completely cover both stains (max distance is 4 .2ft)
Answer:
x-intercept = -6
<h2>y-intercept = -21</h2>
Step-by-step explanation:
x - intercept is for y = 0
y - intercept is for x = 0.
We have y = -2x - 21.
Substitute:
x = 0 → y = -2(0) - 12 = 0 - 12 = -12
y = 0 → 0 = -2x - 12 <em>add 2x to both sides</em>
2x = -12 <em>divide both sides by 2</em>
x = -6
The distance of Jamal's house to the park is 12 miles.
<h3>How to find the number in miles from Jamal's house to the park?</h3>
The distance from Loretta's house to a park is 43 miles.
Her friend Jamal lives along this same highway between Loretta's house and the park.
The distance from Loretta's house to Jamal's house is 31 miles.
The situations forms a straight line segment.
Therefore,
Loretta's house distance to the park = 43 miles
Lorretta's house distance to Jamal's house = 31 miles
Therefore,
distance of Jamal's' house to the park = 43 - 31
distance of Jamal's' house to the park = 12 miles
learn more on distance in miles here: brainly.com/question/13835201
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Answer:
yes it is a right triangle
Step-by-step explanation:
i promise u im correct !
If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
