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3 years ago

What is 1/4=y/12 y=?

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

3 0

Answer:

Step-by-step explanation:

1/4 just scale up the 4 to a 12 4*3=12 so (1*3)/(4*3)=3/12=1/4

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cone with a radius of 5 inches has a volume of approximately 314 cubic inches which of the following best represents the height

QveST [7]

I hope this helps you

7 0

4 years ago

Solve by the substitution method 6x+5y =-26 -9x+y= 56

lozanna [386]

Answer:

I think its well point form is (- 31/6, 19/2)

and equation form is x= - 31/6, y= 19/2

Step-by-step explanation:

Hope it helps!!!

4 0

4 years ago

How many days in 4 consecutive years

ella [17]

There are 365 days in a year.
So in 4 years, there are 365 × 4 = 1460 days.
However, every 4 years, there is also a "leap day." (an additional day in February of years divisible by 4 to balance the calendar)
After adding this day, we would have 1461 days in 4 consecutive years.

*Note: There are exceptions to when leap years happen, so on some 4 year periods there is no leap year. In that case, there could be just 1460.

4 0

4 years ago

Read 2 more answers

Figure 6 shows a semicircle PTS with center O and radius 8cm. QST is a sector of a circle with center S and R is the midpoint of

sveticcg [70]

(a) <TOR=pi/3 radians

To determine <TOR we use the fact that in the right-angled triangle ORT we know two sides:

|OT|=radius=8cm and |OR|=radius/2=4cm

and can use the sine:

$\sin \angle OTR=\frac{r/2}{r}=\frac{1}{2}\implies \angle OTR =\frac{\pi}{6}$

and since <TRO=pi/2, it must be that

$\angle TOR =\pi-\frac{\pi}{2}-\frac{\pi}{6}=\frac{\pi}{3}$

(b) The arc length is approximately 7.255 cm

In order to calculate the arc length QT, we need to first determine the length |ST| and the angle <OST.

Towards determining angle <OST:

$\angle SOT = \pi - \angle TOR = \pi - \frac{\pi}{3} = \frac{2}{3}\pi$

Next, draw a line connecting P and T. Realize that triangle PTS is right-angled with <PTS=pi/2. This follows from the Thales theorem. Since R is a midpoint between P and O, it follows that the triangles ORT and PRT are congruent. So the angles <PTR and <OTR are congruent. Knowing <PTS we can determine angle <OTS:

$\angle OTR \cong \angle PTR=\frac{\pi}{6}\implies\angle OTS=\angle PTS -\angle PTR -\angle OTR\\\angle OTS = \frac{\pi}{2}-\frac{\pi}{6}-\frac{\pi}{6}=\frac{\pi}{6}$

and so the angle <OST is

$\angle OST = \pi - \angle TOS - \angle OTS = \pi -\frac{2}{3}\pi - \frac{1}{6}\pi=\frac{\pi}{6}$

Towards determining |TS|:

Use cosine:

$\cos \angle OST =\frac{|RS|}{|ST|}\implies |ST|=\frac{\frac{3}{2}r}{\cos \frac{\pi}{6}}=\frac{12\cdot 2}{\sqrt{3}}=8\sqrt{3}cm$

Finally, we can determine the arc length QT:

$QT = {\angle OST}\cdot |ST|=\frac{\pi}{6}\cdot 8 \sqrt{3}=\frac{4\pi}{\sqrt{3}}\approx 7.255cm$

3 0

3 years ago

Brian bought a coat at 5% off of the original price of $60. Which process can Brian use to find the amount of his discount?

Anvisha [2.4K]

Answer:

Not sure which "process" it is. But discount amount is $3 (new price would be 57)

Step-by-step explanation:

Equation would start with 5% x 60
5% would be equivalent to the fraction 5/100
Take 5/100 and multiply 60
(60 x 5)/100 = 3 <-- discount amount
Take $3 off $60 and the new price is $57

6 0

3 years ago