Answer:
£78
Step-by-step explanation:
65 divided by 5= £13
13+65=£78
X: liters of 15% orange juice
y: liters of 10% orange juice
x+y=5L
y=5L - x
x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:
0.15x+0.10y = 0.12(5L)
0.15x+0.10(5L-x)=0.12(5L)
0.15x+0.5-0.10x=0.6
0.05x=0.1L
x=2L
so y = 3L
so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
When using the Internet to conduct consumer research, be sure to use reliable websites, verify sources and know the purpose. So the answer is letter D. All of these.
Answer:
RK= 13 SK= 12
Step-by-step explanation
First, we find the missing length of RK using the given information: 65-52=13
Then we divide 65 by 13 to get a scale factor: 65/13=5
(To check, we multipuly: 13*5=65)
We then apply the scale factor to MK to find SK: 60/5=12
(To check we multipuly: 5*12=60)
We now have our answers: RK:13, SK:12
Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
