ANSWER:
Rule for the sequence = - 3 / 12 = - 1 / 4
Unknown term = Previous term - 1 / 4 = 1 11/12 - 1 / 4 = 1 11/12 - 3 / 12 = 1 8/12 = 1 2/3
Answer:
Step-by-step explanation:
These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.
1. Angle construction:
Given an angle. construct an angle congruent to the given angle.
Given: Angle ABC
Construct: An angle congruent to angle ABC
Procedure:
1. Draw a ray. Label it ray RY.
2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.
3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.
4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.
5. Draw ray RQ.
Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.
You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.
The answer is 133 dollars cuz 5580-3186 is 2394 and 2394 divided by 18 is 133
Answer:
<u>The volume of a mound of salt-sand mixture is 589.05 feet ³ or 589.05 cubic feet.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Diameter of a mound of the mixture = 15 feet
Height (h) of the mound of the mixture = 10 feet
How much salt-sand mixture is there?
2. Let's find the volume of a mound of mixture with a conical shape:
For doing that, we need to use the volume formula of a cone.
It's: 1/3 * π * r² * h
Replacing with real values, we have:
1/3 * 3.1416 * 7.5 ² * 10 (Diameter = 15, so radius = Diameter/2 = 15/2 = 7.5)
Volume = 1/3 * 3.1416 * 56.25 * 10
Volume = 1/3 * 3.1416 * 562.5 (56.25 * 10 = 562.5)
<u>Volume = 187.5 * 3.1416 = 589.05 feet ³ or 589.05 cubic feet.</u>
Yes. 0.2782 is a rational number.
It's the ratio of 2782 to 10,000 .
Hint:
If you wrote the number down using digits,
then you wrote a rational number.
Every number that can be completely written
with digits is a rational number.
