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2 years ago

What is the greatest common factor of 64 and 72

Mathematics

2 answers:

Ksivusya [100]2 years ago

7 0

The greatest common factor is 8

erastova [34]2 years ago

3 0

8 is the gcf of 64 and 72

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What is one quality of rotation

Sunny_sXe [5.5K]

Answer:

Quality rotation is the act of a joint moving through a range of motion in a way that is efficient, controlled and repeatable.

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2 years ago

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A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+3

Vikentia [17]

Answer:

see below

Step-by-step explanation:

h(t)=−4.9t2+100t+325.

The independent variable is the one that we change

t which is in seconds

The dependent variable is the result

h(t) which is in meters

4 0

2 years ago

Please help ASAP!

Kruka [31]

First, recall that

$\sin(-\theta)=-\sin\theta$

So if $\sin(-\theta)=\dfrac15$ , then $\sin\theta=-\dfrac15$ .

Second,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

We know that $\tan\theta>0$ and $\sin\theta$ , which means we should also have $\cos\theta$ .

Third,

$\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}$

but as we've already shown, we need to have $\cos\theta$ , so we pick the negative root.

Finally,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}$

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

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2 years ago

What is the value of the expression 2 + 32 ⋅ (4 − 1)? A: 24 B: 29 C: 33 D: 37

Paul [167]

For this case we have the following expression:

$2 + 3 ^ 2 * (4 - 1)$

Rewriting the expression we have:

1) First we subtract the numbers within the parenthesis:

$2 + 3 ^ 2 * (3)$

2) Then, we solve the exponents:

$2 + 9 * (3)$

3) Then, multiplication:

$2 + 27$

4) Finally, the addition of numbers is made:

$29$

Answer:

the value of the expression is:

B: 29

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2 years ago

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Evaluate the value of x to 1 d.p Thank you

Keith_Richards [23]

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

${a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8$

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2 years ago