Answer:
A, 94
Step-by-step explanation:
4. A since that is the tallest of the bars
5. 51 + 9 + 34 = 94 people
Answer:
We use cosine rule also called cosine law which states
c^2=a^2+b^2-2abcosC
given
a=8cm, b=7cm, c=9cm cos C?
9^2=8^+7^2-2*8*7 cos C
expand
81=64+49-112 cos C
like terms together
81-113=-112 cos C
-32=-112cos C
multiply both sides by -1
32=112cos C
divide both sides by 112
32/112=cos C
cosC=0.2857
find cos inverse of 0.2857
angle C= 73.40
So we start with the $60 untouched.
Then we add the tax which is $60•0.07= 4.20 that is the tax
Then add the tax to the total $60 + $4.20= $64.20
Next we must add the tip so $60•0.15= 9.
Then $64.20 + $9.00 = $73.20
Total cost of meal $73.20
Any questions? :)
Answer:
B 3x: 51 = 3x+24: 85
Step-by-step explanation:
Since the triangles are similar
PS PQ
------- = -----------
PT PR
Substitute the values in
3x 3x+24
------- = -----------
51 85
3x: 51 = 3x+24: 85
The main idea here is to "translate" the words into maths.
First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters
Now lets write equations from the written problem.
We know that there are 36 coind total, thus:
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents.
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus:
10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.
x + y = 36
10x+25y=585