James is earning money to buy a bicycle for $100. For each dollar James earns, his mother gives him $1. So far he has earned $14
2 answers:
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So first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
so
=
2*2*3*
=
12√7
the answer is B
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
2*2*3*
12√7
the answer is B
Answer:
D.
Step-by-step explanation:
We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.
The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.
We will use upper quartile formula to solve our given problem.
, where, n represents the number of elements in the data set.
We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,
Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.
Answer:
£59.25
Step-by-step explanation:
Hello!
To solve this problem, we must:
- Solve for the length of the fence (aka height)
- Find the area of the lawn (trapezoid)
- Find the number of cans needed
- Find the price of all the cans
Area of a trapezoid, and why the formula works:
A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.
To find the area of a trapezoid, we use the formula:
This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.
Solve for height:
The height is unknown but can be found using the Pythagorean Theorem.
The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.
Difference = 20 - 12 = 8
Hypotenuse = 17
- 8² + fence² = 17²
- 64 + fence² = 289
- 225 = fence²
- fence = 15
The height is 15
Solve for area:
Now we can solve for the area.
The area is 240
Cans:
The area of the lawn is 240 square meters. Each can cover 100 square meters.
- 240 ÷ 100 = 2.4
Since we can't use part of a can, we round up to three whole cans.
The price of 3 cans :
- 3 * 19.75
- 59.25
£59.25
The Pythagorean Theorem:
The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.
The formula is :
- a is a leg
- b is a leg
- c is the hypotenuse
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