Point A: 60
Point B: 60
Point C: 50
Point D: 50
The distance a point is from the y axis is the absolute value of the x-coordinate, because the x-coordinate is how far (and the direction) to go from the y axis. However, because it also takes into account the direction, we have to find the absolute value of it (so it is positive), since distance has to be positive.
60 grams is the answer I think
The first one states that there are 6 cups of orange juice for every _ cups of punch
There are 6 cups of orange juice and 4 cups of cranberry in 10 cups of juice because 6 c orange + 4 c cranberry = 10 cups total punch
So for 6 cups of orange juice there would be 10 cups of punch.
The 3rd one states that the ratio of cranberry juice to punch is _:_
Punch is cranberry and orange combined- at the ratio of 4:6
So for 4 cups of cranberry, there would be 10 cups punch (4 c cranberry + 6 c orange = 10 c punch)
So the ratio would be 4:10, it can be simplified like fractions as 2:5
I don't know is you have to but if you do, don't forget to simplify the ratios.
Good luck!
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.

Substituting a = 8, b = 15 and c = 17. Thus, we have;


Using Heron's formula, we have;





Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,

where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;


Thus, the volume of the right triangular prism is 450 cubic units.
Answer:
A= 33 degrees
A=33°
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW, ALSO CHECK THE ATTACHMENT FOR THE DIAGRAM
Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of S to the nearest whole degree? 19° 26° 30° 33°
EXPLANATION
Accordingto the law of cosines in
trigonometry, which gives the relationship between the lengths of the sides of a triangle to the cosine of one of its angles.
From the diagram at the attachment, the sides of the triangle are:a=10 ,b=17 ,c=18
The law can is described using the formula below;
a² = b²+ c² – 2*b*c*cos(A)
To get the angle cos(A), we make cos(A) subject of formula
cos(A)=[b²+c²-a²]/[2*b*c]
Then inserting the figures
cos (A)=[17²+18²-10²]/[2*17*18]
cos (A)=0.8382
Then find the inverse of cos(A)
A=arc cos (0.8382)
A=33.05°
A=33°( approximately)