Answer:
6.9 foot.
Step-by-step explanation:
Given: Length of lamp post= 12-foot.
The angle of elevation of the sun is 60°.
∴ The length of Lamp post, which is opposite is 12-foot.
Now, finding the length of shadow cast by foot lamp.
Length of shadow is adjacent.
∴ We know the formula for 
= 
Next, putting the value in the formula.
⇒ 
Cross multiplying both side and using the value of Tan 60°
∴ Adjacent= 
≅ 6.9 (nearest tenth value)
6.9 is the length of shadow cast by a 12-foot lamp post.
Well first you have to make the denominators equal by finding a common denominator. in this case 21, but whatever you do to the bottom you do to the top. so 1/3 times 7/7 equals 7/21 and 1/7 times 3/3 equals 3/21.
so how many 7/21 cups of ice cream can you make from 3/21 i think about none but remember i could be wrong
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions
Equation #1
total questions on the test (given to be 20) is then:
t + m = 20
Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100
Now, you can use substitution to combine the two equations.
t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m
substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100
Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5
There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20
t + 5 = 20
t = 20 - 5
t = 15
there are 15 true/false questions on the test.
Answer:
A $40.00
Step-by-step explanation:
The odds of getting a red first is 5/12. the odds of getting a green second is 7/11. the probability of both is then 5/12 * 7/11, or 35/132
