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svp [43]
4 years ago
15

D=60 miles and v=15 miles per hour solve d=vt then substitute values

Mathematics
1 answer:
faust18 [17]4 years ago
4 0

Answer:

ummmmmmmmmmmmmmmmmmm t=4

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3 years ago
Solve the system of 2x-5y+z=1 3 y+2z=5-24z=48
motikmotik
<span>A) 2x -5y +z = 1
B) 3 y + 2z = 5
C) -24 z = 48
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8 0
3 years ago
What is the ratio for
sweet [91]

Answer:

12/13

Step-by-step explanation:

By definition, for a right triangle with an internal angle X

sin X = length of opposite side / length of hypotenuse

in this case,

for angle F, the opposite side = GH and the hypotenuse is HF

hence

sin F = GH / HF = 12/13

4 0
3 years ago
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A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
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3 years ago
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