Answer:
17b = w
Step-by-step explanation:
17 times the number of bottles = the number of ounces of water
Then you just plug in the numbers you are given
17(51) = w
17 x 51 = 867
<u>51 bottles of water holds 867 ounces</u>
<u />
17b = (51)
divide both sides by 17
51/17 = 3
b = 3
<u>It would take 3 bottles of water to hold 51 ounces</u>
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
You have to solve for the amount of readers.
=500 readers.
Answer:
![\bold{m=\dfrac16}](https://tex.z-dn.net/?f=%5Cbold%7Bm%3D%5Cdfrac16%7D)
Step-by-step explanation:
![\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}](https://tex.z-dn.net/?f=%5Cbold%7Bslope%5C%2C%20%28m%29%3D%5Cdfrac%7Bchange%5C%20in%5C%20Y%7D%7Bchange%5C%20in%5C%20X%7D%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%7D)
(9, 8) ⇒ x₁ = 9, y₁ = 8
(-3, 6) ⇒ x₂ = -3, y₂ = 6
So the slope:
![\bold{m=\dfrac{6-8}{-3-9}=\dfrac{-2}{-12}=\dfrac16}](https://tex.z-dn.net/?f=%5Cbold%7Bm%3D%5Cdfrac%7B6-8%7D%7B-3-9%7D%3D%5Cdfrac%7B-2%7D%7B-12%7D%3D%5Cdfrac16%7D)
One unit down means a change in the y-axis. The graph one unit above shows no y-intercept in the equation because the intercept is 0.