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Mariulka [41]
3 years ago
7

How would you classify the number 125?

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

(b) a perfect cube

Explination:

It is a perfect cube of 5

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A projectile is launched from the ground at an angle of theta above the horizontal with an initial speed of v in​ ft/s. The rang
VARVARA [1.3K]

Answer:

\theta=24.4^\circ

Step-by-step explanation:

The formula you wrote has the fraction the other way around. You can find that the range​ of a projectile is in reality approximated by the equation x=\frac{v^2}{g} sin(2\theta)=\frac{v^2}{32ft/s^2} sin(2\theta), where we will use ft for distances.

From the given equation we have then \frac{x32ft/s^2}{v^2} =sin(2\theta), which means \theta=\frac{Arcsin(\frac{x32ft/s^2}{v^2})}{2} since the arcsin is the inverse function of the sin.

Since we have x = 170 ft and  v = 85 ft/s, we can substitute these values from the equation written, and we will have \theta=\frac{Arcsin(\frac{(170ft)(32ft/s^2)}{(85ft/s)^2})}{2}, and from now on we have just to use a calculator, obtaining \theta=\frac{Arcsin(0.75294117647)}{2}=\frac{48.84579804^\circ}{2}=24.4^\circ

3 0
3 years ago
Please help me with 2-10 thank you in advance
Romashka [77]
20% = \frac{1}{5}
4% = \frac{1}{25}
\frac{3}{4} = 75%
\frac{11}{25} = 44%
7 out of 10 = 70%
8 0
3 years ago
A person purchased a leather jacket that was marked down by 40%. if the sale price of the jacket was $101.79, what was its origi
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The original price was $142.50. What I did was that I added 40% with $101.79 which was the sales price. With the 40% the person saved $40.71.

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5 0
2 years ago
The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are t
Ede4ka [16]

Answer:

This is a bit confusing for me but here we go.

1x110

10x11 and

i don't really know the third

Step-by-step explanation:

5 0
2 years ago
11. For a math homework assignment, Karla found the
riadik2000 [5.3K]

Answer:

Option C. 12 by 15

Step-by-step explanation:

Let the length be L

Let the width be w

Area of rectangle = L x w

Perimeter of rectangular = 2 (L + w)

From the question given,

A = 180

P = 54

180 = L x w (1)

54 = 2(L + w) (2)

From equation (2),

54 = 2(L + w)

Divide both side by the 2

54/2 = L + w

27 = L + w

L = 27 — w (3)

Substituting the value of L into equation (1), we have:

180 = L x w

180 = w(27 — w)

180 = 27w — w^2

Rearrange the expression

w^2 — 27w + 180 = 0 (4)

Solving by factorization method:

Multiply the first term (i.e w^2) with the last term (i.e 180). This gives 180w^2. Now find two factors of 180w^2, such that their sum will result to the second (i.e —27w). These factors are —12w and —15w.

Now, substitute these factors (—12w and —15w) into equation (4)

w^2 — 27w + 180 = 0

w^2 — 12w —15w + 180 = 0

w(w — 12) — 15(w — 12) =0

(w — 12) (w — 15) = 0

w = 12 or w = 15.

Substituting the value of w into equation (3)

L = 27 — w

When w = 12

L = 27 — 12 = 15

When w = 15

L = 27 — 15 = 12

Since the length is longer than the width, the length is 15 and the width is 12.

Therefore the dimensions is 12 x 15

6 0
3 years ago
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