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zysi [14]
3 years ago
15

The art museum is 8 1/2 miles from Allison's house. Allison has ridden her bike 2/3 of the way there so far. how far has she gon

e
Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0
Alison has ridden 5.6666 miles so far.
icang [17]3 years ago
3 0
She driven 5.666 miles
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V=1/3 pi r squared h what is h?
Sveta_85 [38]

Step-by-step explanation:

V = 1/3 pi r^2 h

root(V ÷ 1/3 pi) = h

6 0
3 years ago
What would the answer be???
Korolek [52]

Answer:

The solution is obtained by adding the two equations.

The solution is: (x, y) = ($ - \frac{2}{3} $, $ - \frac{7}{3} $)

Step-by-step explanation:

We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.

The two equations are:

$ 7x + y = - 7 \hspace{15mm} \hdots (1) $

$ 2x - y = 1 \hspace{15mm} \hdots (2) $

Adding both the equations, we get:

$ 7x + 2x + y - y = - 7 + 1 $

$ \implies 9x = - 6 $

$ \implies x = - \frac{2}{3} $

Substituting the value of 'x', we get the value of y.

We substitute in (2). [Can be substituted in any equation].

We get: y = 2x - 1

$ \imples y = 2\bigg(\frac{-2}{3}\bigg) - 1 $

$ \implies -\frac{4}{3} - 1 $

$ \implies y = -\frac{7}{3} $

So, we get the corresponding values of x and y which is the solution of the two equations.

4 0
3 years ago
A triangle with the angle
Dahasolnce [82]
Answer : It is possible to form a triangle


Explanation : To form a triangle, sum of angles should be equal to 180
72 + 48 + 60 = 180 So, triangle is formed
Therefore the following statement is possible.
8 0
3 years ago
How to convert 264 yds/1 s to mi/day?
dusya [7]

Answer:

12,960\ \frac{miles}{day}

Step-by-step explanation:

we know that

1\ mile=1,760\ yards

To convert yards to miles multiply by 1/1,760

1\ hour=3,600\ seconds

1\ day=24\ hours

so

(24)3,600=86,400

1\ day=86,400\ seconds

To convert seconds to day multiply by 1/86,400

In this problem we have

264\ \frac{yd}{sec} =264\ \frac{(1/1,760)}{(1/86,400)}=264\ (\frac{86,400}{1,760})=12,960\ \frac{miles}{day}

7 0
4 years ago
Find cos(2*ABC) 100POINTS
juin [17]

Answer:

-\dfrac{7}{25}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

  • \cos(\angle ABC)=\dfrac{3}{5}
  • \sin(\angle ABC)=\dfrac{4}{5}

Therefore, using the trig identities and ratios:

\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}

7 0
2 years ago
Read 2 more answers
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