Answer:
44. answer = a. (<)
45. answer = b. (>)
Step-by-step explanation:
To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.
So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:
10 / sin(mQRW) = 17 / sin(mRWQ)
sin(mQRW) / sin(mRWQ) = 10 / 17
The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)
In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:
15 / sin(mRTW) = 8 / sin(mTWR)
sin(mRTW) / sin(mTWR) = 15 / 8
If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)
Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.
As the scale drawing and the actual car are similar .
so,
height of bumper in drawing
height of bumper in actual car=height of the window in drawing/height of the window in actual car
6 in./16*12 in.=¾ in./height of the window in actual car
height of the window in actual car=¾*16*12/6 in.
=24 inch(Answer )
Answer: She would need 206 paper cups.
Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.
Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;
Volume of a cone = (πr²h)/3
Volume of a cone = (3.14 * 4² * 11)/3
Volume of a cone = 552.64/3
Volume of a cone = 184.2
If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;
Number of cups = Total volume/Volume of a cup
Number of cups = 37850/184.2
Number of cups = 205.48
Rounded to the nearest whole number, this becomes
Number of cups ≈ 206
Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
I don't know if this helps but an equivalent rate is:Rates that represent the same comparison; for example 90km
2h Fraction<------
and 45km/h Confusing i know
