Multiply all terms by 2 to get rid of fractions
2x+10=28-x
Add x to both sides
3x+10=28
Subtract 10 from both sides
3x=18
Divide both sides by 3
x=6
Final answer: x=6
Answer:
3a, 13cm 5, 1:200
Step-by-step explanation:
In the question 3 you just have to divide all of those numbers with that 5000, maybe also make them cm so it makes more sense. So 650m = 65000cm:5000= 13cm
then for the question 5, make the km to cm, so 4.2km would be 420000cm. Then you have to divide that 420000cm with the 21 cm, so 420000:21= 200. Then the scale should be 1:200
I had difficulties with these as well. If you need extra help with the task 3 please pm me :)
Hi!
We can remove the parentheses.
2m+3+4m+3=0
Simplify by combining like terms.
2m+4m+3+3=0
6m+6=0
Subtract 6 from both sides.
6m+6-6=0-6
6m=-6
Divide by 6 on both sides.
6m/6=-6/6
m=-1
The answer is m = -1
Hope this helps! :)
-Peredhel
Answer:
D is the similar triangle
Step-by-step explanation:
A quick solution to this problem is using the hypotenuse.
You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)
Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.
To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.
Now check for both cos and tan
Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4 CHECKS OUT
Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5 CHECKS OUT
Since everything checks out, then answer D is truly correct.
Answer:
Step-by-step explanation:
2 easy ways:
1. Divide 7 by 3 then multiply by 2
7/3= seven thirds or 2.333
Now multiply by two to get 14 thirds
or 4.666
2. Multiply 7 by 2/3, or 0.666
This way is a lot easier with a
calculator
The weight of the box is 14/3’s or 4.666
