Solve this proportion 12/8=7.5/x

Mathematics

2 answers:

Delvig [45]3 years ago

8 0

Answer: x = 5

Step-by-step explanation: 12 and 7.5 are both multiples of 3. So basically, 12/8 is simplified to 3/2. If we are doing the same kind of formula as 12/8, then it would be 7.5/5 since 5 is equal to 2/3 of 7.5

Happy to help!

Sphinxa [80]3 years ago

3 0

12/8=7.5/5 because
12/1.6=7.5 so you would do 8/1.6=5
Hope this helps :)

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Diameter of sphere is 8cm it is beaten and drawn out to a diameter of 2 mm find length of wire

m_a_m_a [10]

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4 0

4 years ago

Please Help!!!

algol [13]

$f\left(\dfrac\beta2\right)=\sin\dfrac\beta2$

Recall the half-angle identity:

$\sin^2\dfrac\beta2=\dfrac{1-\cos\beta}2\implies\sin\dfrac\beta2=\pm\sqrt{\dfrac{1-\cos\beta}2}$

So in order to find $f\left(\dfrac\beta2\right)$ , we only need to know the value of $\cos\beta$ . But there are two possible values. To decide which to take, we use the given information: we know that $\beta$ lies in quadrant III, which means $\pi$ , so $\dfrac\pi2$ , which places $\dfrac\beta2$ in quadrant II. In this quadrant, the sine of angle is positive, and so

$\sin\dfrac\beta2=\sqrt{\dfrac{1-\cos\beta}2}$

$\beta$ is an angle of a ray whose terminal point, $\left(-\dfrac13,y\right)$ lies on the circle $x^2+y^2=1$ . The $x$ -coordinate is all we need to know in order to find that $\cos\beta=-\dfrac13$ . So,

$\sin\dfrac\beta2=\sqrt{\dfrac{1-\left(-\frac13\right)}2}=\sqrt{\dfrac46}=\dfrac{\sqrt2}{\sqrt3}=\dfrac{\sqrt6}3$