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Ad libitum [116K]
3 years ago
8

Mr. Trier charges $25 per hour for tutoring services plus a one-time fee of $15 for supplies. How many tutoring sessions(t) can

a student attend if the parent will spend, at most, $1,965?
Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

78 sessions

Step-by-step explanation:

  • $1,965 - $15 = $1,950
  • 1950/25 = 78
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Alex Ar [27]

Answer:

Options 1, 3 and 4 are true

Step-by-step explanation:

The legs EF and DF of the right triangle DEF have lengths of 24 units and 7 units, respectively. By the Pythagorean theorem,

DE^2=EF^2+DF^2\\ \\DE^2=24^2+7^2\\ \\DE^2=576+49\\ \\DE^2=625\\ \\DE=25\ units

Find trigonometric functions:

\sin \angle D=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}

\cos \angle E=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}

\tan \angle D=\dfrac{\text{Opposite leg}}{\text{Adjacent leg}}=\dfrac{EF}{DF}=\dfrac{24}{7}

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Thus, options 1, 3 and 4 are true

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3 years ago
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What substitution should be used to rewrite 16(x^3+1)^2-22(x^3+1)-3=0 as a quadratic equation?
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16(x^3+1)^2-22(x^3+1)-3=0\\\\\text{substitute}\ t=x^3+1\\\\16t^2-22t-3=0

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ITS REALLY IMPORTANT
Eva8 [605]

Answer:

The lateral area of the figure = 480 m²

The surface area = 720 m²

Step-by-step explanation:

By definition, we have;

The lateral area is the area of the vertically facing sides of or the area of the triangular faces of a pyramid

The surface area is the area of the entire surface = Lateral area + The other surface areas of the object

For a pyramid, the surface area =   Lateral area  + Area of base

The figure in the question is a pentagon based pyramid with five triangles on the sides

The lateral area of the figure = 5 × area of the 5 triangles = 5 × Base × Height

The lateral area of the figure = 5 × 12 × 8 = 480 m²

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The surface area = Area of the base + Lateral surface area

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Apothem = Perpendicular distance from the pentagon's side to the center = 8.3 m

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