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Kobotan [32]
3 years ago
9

After a heavy snowfall, Joe and Karin made an igloo. The dome of the igloo is in the shape of a parabola and the height of the i

gloo in inches is given by f(x) =−0.03x2+ 2.4x. Select the best answer.
I've searched up the answer but need an explination on the subject, since it doesn't make sense to me, and our teacher didn't teach us this because of Online Learning, but we got it in our homework. I can't find it anywhere and it's driving me nuts.
Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0
223 is the best gun in the world I hope this helps you
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I need help on these questions please
Paraphin [41]

Answer:

Step-by-step explanation:

1). In ΔABC,

   For angle A as a reference angle,

   Opposite side of ∠A → BC

   Adjacent side of ∠A → AC

   Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

    tan(72°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(72°) = \frac{12}{x}

    x = \frac{12}{\text{tan}(72)}

    x = 3.899

    x ≈ 3.9

3). By using sine rule in ΔKNM,

    tan(x°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

    tan(x) = \frac{20}{58}

    x = \text{tan}^{-1}(\frac{20}{58} )

    x = 19.03

    x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

    tan(70°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(70) = \frac{60}{x}

    x = \frac{60}{\text{tan}(70)}

    x = 21.838

    x ≈ 21.8

7 0
3 years ago
A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon
Fittoniya [83]

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

<h3>What is the present value of the annuity?</h3>

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) +  ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

Find out more on the present value of annuities at brainly.com/question/24097261.

#SPJ1

4 0
1 year ago
PLEASE HURRY ITS TIMED!!!
irina1246 [14]

Answer:

The correct answer is A)

PRISM.  

Explanation:

Any 2-dimensional shape formed with straight lines is a polygon. Examples of polygons are:

  1. Quadrilaterals
  2. Hexagons
  3. Pentagons, and
  4. Triangles are all examples of polygons. The name of polygons are usually indicative of the number of sides they have.

Cheers!

5 0
3 years ago
Find the equation of a line perpendicular to -4x+y=10 that passes through the point (-4,9)
Oliga [24]

Answer:

y=-1/4x+8

Step-by-step explanation:

To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.

Before that, we need to change the equation into slope-intercept form.

-4x+y=10

y=4x+10

The opposite reciprocal of the slope is -1/4.

Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).

y-y1=m(x-x1)

y-9=-1/4(x-(-4))

y-9=-1/4x-1

y=-1/4x+8

4 0
2 years ago
Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 7y = sin(x)
Elza [17]
The first thing we must do in this case is find the derivatives:
 y = a sin (x) + b cos (x)
 y '= a cos (x) - b sin (x)
 y '' = -a sin (x) - b cos (x)
 Substituting the values:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 We rewrite:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
 sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
 From here we get the system:
 -b-8a = 1
 a-8b = 0
 Whose solution is:
 a = -8 / 65
 b = -1 / 65
 Answer:
 
constants a and b are:
 
a = -8 / 65
 
b = -1 / 65
4 0
2 years ago
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