The correct question is
<span>Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
</span>
Which ratio is incorrectly written to convert his speed? the picture in the attached figurewe know that
The term (5280 ft/1 mi) is incorrect
"Feet"<span> needs to be on the bottom to cancel with the previous term.
</span>"Mile"<span> needs to be on top in the numerator so that the answer can be expressed in "miles per hour"
</span>
the correct term is (1 mi/5280 ft)
Hi there.
I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.
All I did was figure out what exponent you raise 10 to.
10³ = 1000
So, we now have 8 + 10³ = 1008
Edit:
I did it on paper - here it is broken down.
8 +
= 1008
Subtract 8 from both sides.
= 1000
We know that 10³ = 1000
<em>x</em> = 3
~
Given that Sienna planned a rectangular pool drawn on a scale 11 inches long by 7 inches wide, and Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long, and she then decided to make a pool with a final length of 33 ft, to determine which expression finds the change in scale factor for the longer pool Sierra is building the following calculation must be performed:
- 11 inches = 0.916 feet
- 11 / 0.916 = 12
- 7 inches = 0.583333 feet
- 7 / 0.5833333 = 12
- Thus, the initial scale is 1:12.
- 33 / 0.916 = 36
Therefore, the scale factor went from 1:12 to 1:36.
Learn more in brainly.com/question/2302757
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
<h3>Answer: Choice B) </h3><h3>-6x - 2y = 12</h3>
===============================================
Explanation:
The x intercept is (-2,0) which is where the graph crosses the x axis.
The y intercept is (0,-6) which is where the graph crosses the y axis.
-----
Find the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (-6-0)/(0-(-2))
m = (-6-0)/(0+2)
m = -6/2
m = -3
-----
The y intercept (0,-6) leads to b = -6
Both m = -3 and b = -6 plug into y = mx+b to get
y = mx+b
y = -3x+(-6)
y = -3x-6
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Now add 3x to both sides
y = -3x-6
y+3x = -3x-6+3x
3x+y = -6
-----
Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)
3x+y = -6
-2(3x+y) = -2(-6)
-2(3x)-2(y) = 12
-6x-2y = 12
which is what choice B shows.
