Answer:
Step-by-step explanation:
<em>L</em> is 2* <em>W</em> so L=2W
perimeter= 2w+2l
plug in whats given to get
perimeter=2w+4w 4w is because L is *2 of W so that makes L=2w
36=6w
36/6=6
6w/6=w
w=6
6*2=12=L
now we have 6*12=72=Area
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.
Answer: $169
Step-by-step explanation: The expression 25 + 18 x 8 represents the amount she will pay if she participates for 8 months.
Multiply 18 x 8 to find the cost for 8 months. $18 x 8 = $144.
Now add $25 to $144, which equals $169
Answer:
m∠PTQ = 40°
Step-by-step explanation:
From the picture attached,
Two lines PS and RQ are intersecting each other at a point T.
Vertical angles formed at the point of intersection T will be equal in measure.
m∠PTQ = m∠STR and m∠PTR = m∠QTS
Therefore, (x + 28)° = (2x + 16)°
28 - 16 = 2x - x
12 = x
m∠PTQ = (x + 28)°
= 12 + 28
= 40°
Therefore, measure of angle PTQ is 40°.
Here are a few rules you need to know for this equation:
- Multiplying exponents of the same base:
- Dividing exponents of the same base:
- Turning a negative exponent to a positive one:
So this is our algebraic expression: 
Firstly, multiply 3^-4 and 3^2: 
Next, divide:
Next, turn the negative exponent into a positive one: 
<u>Your final answer is 3/2, or 1.5.</u>
