Answer:
To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25
We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
Sonji has 63 nickels.
Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
Volume of a triangular prism is: 
We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.
The volume of the prism should be 240 square meters.
Answer:
A dot plot generally shows the data for a specific value, it is just like how you would need each individual's score. A histogram shows data for a range of values. The best one to use here is a histogram.
Step-by-step explanation:
Simplifying
x = 6 + -4y
Solving
x = 6 + -4y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 6 + -4y
Hope I Helped. Sorry If I'm Wrong.
Recall that
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
for all <em>θ</em>, and given that cos(<em>θ</em>) < 0, we find that
cos(<em>θ</em>) = -√(1 - sin²(<em>θ</em>)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = 1/(2/5) = 5/2
and
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>) = (-√(21)/5)/(2/5) = -√(21)/2
