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nexus9112 [7]
2 years ago
5

At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to

melt at a steady rate. The depth of snow on Riley's lawn, in inches, can be modeled by the equation S = 13 – t, where t is the time, in hours, after the snow stopped falling. What is the x-intercept of the equation and what is its interpretation in the context of the problem?​
Mathematics
1 answer:
9966 [12]2 years ago
4 0

Answer: the x-intercept of the fuction is 13 which represents the number of hours unit

All the snow has melted

Step-by-step explanation:

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-4x+16=12 what is the answer
ale4655 [162]

Answer:

1

Step-by-step explanation:

8 0
3 years ago
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Hint( not 8,even tho no one is gonna guess it anyways lol)<br> 4² - 6 ÷ 2 + 3
Kitty [74]
The answer is 2 cause you have to do the asides individually
7 0
3 years ago
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A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of
Gwar [14]

\bold{\huge{\underline{ Solution}}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • A marker in the center of the fairway is 150 yards away from the centre of the green
  • While standing on the marker and facing the green, the golfer turns 100° towards his ball
  • Then he peces off 30 yards to his ball

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>distance </u><u>between </u><u>the </u><u>golf </u><u>ball </u><u>and </u><u>the </u><u>center </u><u>of </u><u>the </u><u>green </u><u>.</u>

<h3><u>Let's </u><u> </u><u>Begin </u><u>:</u><u>-</u></h3>

Let assume that the distance between the golf ball and central of green is x

<u>Here</u><u>, </u>

  • Distance between marker and centre of green is 150 yards
  • <u>That </u><u>is</u><u>, </u>Height = 150 yards
  • For facing the green , The golfer turns 100° towards his ball
  • <u>That </u><u>is</u><u>, </u>Angle = 100°
  • The golfer peces off 30 yards to his ball
  • <u>That </u><u>is</u><u>, </u>Base = 30 yards

<u>According </u><u>to </u><u>the </u><u>law </u><u>of </u><u>cosine </u><u>:</u><u>-</u>

\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}

  • Here, a = perpendicular height
  • b = base
  • c = hypotenuse
  • cos theta = Angle of cosine

<u>So</u><u>, </u><u> </u><u>For </u><u>Hypotenuse </u><u>law </u><u>of </u><u>cosine </u><u>will </u><u>be </u><u>:</u><u>-</u>

\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}

\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}

\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}

\sf{ x^{2} = 22500 + 900 + 156.6}

\sf{ x^{2} = 23556.6}

\bold{ x = 153.48\: yards }

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

5 0
2 years ago
What are the coordinates of the point?
kenny6666 [7]
D -2, 4 is in the second quadrant because the -x brings it to the left side and the positive 4 puts it in the upper of the left side which is the second quadrant
7 0
3 years ago
. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND
Anton [14]

Answer:

£4867.2

Step-by-step explanation:

Given data

P= £4500

T=2 years

R= 4%

The compound interest expression

A=P(1+r)^t

substitute

A= 4500(1+0.04)^2

A=4500(1.04)^2

A=4500*1.0816

A=£4867.2

Hence the balance is £4867.2

4 0
2 years ago
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