I'm pretty sure it's 50°f because the original temperature is 37°f and after 8 minutes it was 42°f and 42 minus 37 is 5, 8 divided by 5 is 1.6 and then multiply that by 5 is 8 and 42 + 8=50°F

6 0

2 years ago

The ratio of minutes to gallons of water flowing through a garden hose is 2 to 12 carlota says that an equivalent ratio of minut

blagie [28]

Answer:

Carlota is not correct

Step-by-step explanation:

A ratio represents relationship between of two or more things.

Ratio of minutes to gallons of water flowing through a garden hose $=2:12$

Here,

$2:12=1:6$

Also,

It's given that an equivalent ratio of minutes to gallons is $6:1$

Now,

$1:6\neq 6:1$

Therefore,

Carlota is not correct

7 0

2 years ago

How do you solve cos(pi/24) using Half-Angle formulas, and leaving in simplified form?

adoni [48]

$\cos \frac{\theta}{2}=\sqrt{\frac{1+\cos \theta}{2}}
\\
\\ \cos{\frac{\pi}{24}}=\cos{\frac{\frac{\pi}{12}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{12}}{2}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2} } 
\\
\\ \cos{\frac{\pi}{12}}=\cos{\frac{\frac{\pi}{6}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{6}}{2}}= \sqrt{ \frac{1}{2}+ \frac{ \frac{ \sqrt{3} }{2} }{2} } =\sqrt{ \frac{2}{4}+ \frac{ \sqrt{3} }{4} } = \sqrt{\frac{ 2+\sqrt{3} }{4} } = 
\\
\\ =\frac{ \sqrt{2+\sqrt{3}} }{2} 
$

$\cos{\frac{\pi}{24}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2} } = \sqrt{ \frac{1}{2}+ \frac{\frac{ \sqrt{2+\sqrt{3}} }{2}}{2} } = \sqrt{ \frac{2}{4}+ \frac{ \sqrt{2+\sqrt{3}} }{4}} } =\sqrt{ \frac{ 2+\sqrt{2+\sqrt{3}} }{4}} } 
\\
\\\cos{\frac{\pi}{24}}=\frac{\sqrt{2+\sqrt{2+\sqrt{3}}}} {2}$

6 0

2 years ago