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3 years ago

If u multiply 2/3 x 6/10, will the product be more than 6/10 or less than 6/10? How do you know?

Mathematics

1 answer:

Elanso [62]3 years ago

5 0

Answer:

Step-by-step explanation:

You can find a common denominator and get 20/30 * 18/30 = 38/30, which is more than 18/30.

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Circle the statement that are tru as you solve

shepuryov [24]

What statement are you talking about?

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3 years ago

Amy owns her own business as a landscaper of homes and office buildings. On average, maintaining a homeowners yard takes 2 hours

Mila [183]

The office building cliant

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3 years ago

Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe

8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO $tan 65 = \frac{h}{45-x} = 2.14$

$h=2.14(45-x)$

From ΔBCO $tan80 = \frac{h}{x} = 5.67$

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore $cos80 = \frac{x}{OB}$

$0.174 = \frac{12.33}{OB}$

$OB = \frac{12.33}{.174}=70.86=71ft.$

Therefore 71 ft is the distance between B and the top of the hill.

3 0

3 years ago

You roll a six-sided die. Find the probability of each of the following scenarios

romanna [79]

Answer:

a) $1/2$

b) $5/6$

c) $2/3$

Step-by-step explanation:

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is $(1+1+1)/6=3/6=\boxed{1/2}$

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is $(1+1+1+1+1)/6=\boxed{5/6}$

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is $(1+1+1+1)/6=4/6=\boxed{2/3}$

6 0

2 years ago

The answer to this word problem usinf discriminant

solniwko [45]

$\bf h=-9.8t^2+45t+1.2\implies 64.5=-9.8t^2+45t+1.2
\\\\\\
0=-9.8t^2+45t-63.3\\\\
-------------------------------$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{-9.8}t^2\stackrel{\stackrel{b}{\downarrow }}{+45}t\stackrel{\stackrel{c}{\downarrow }}{-63.3}
~~~~~~
\stackrel{discriminant}{b^2-4ac}=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}
\\\\\\
(45)^2-4(-9.8)(-63.3)\implies -456.36$

the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.

8 0

3 years ago