Answer: Part A: a square pyramid Part B: 84 square feet
Step-by-step explanation:
Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.
Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be
square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.
You must have been taught postulates and theorems that allow you to prove triangles congruent, such as SSS, SAS, ASA, etc. Look at the given information of a proof, and see how from the given information, using definitions, postulates, and theorems you have already learned, you can show pairs of corresponding sides and angles to be congruent that will fit into the above methods. Then use one of the methods to prove the triangles congruent.
Answer:
{f(x) | -∞ < f(x) ≤ 4 }
Step-by-step explanation:
The range is made up of the y values. Remember f(x) = y
In this graph the least value of y is -∞ and the greatest value of y is 4
So, the range is {f(x) | -∞ < f(x) ≤ 4 } which is the 2nd choice
Answer:
There were (4x + 2) grapes in the bowl
Step-by-step explanation:
Here, we are interested in calculating the total number of grapes in the bowl.
We have 3 people sharing the total
Damien are x grapes
Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes
Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes
And now, we have 6 grapes left.
To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.
Mathematically, that would be;
x + 1 + 2x + x -5 + 6
= 4x + 2
If the price was $1 and it increased by 15% it would now be $1.15 therefore the multiplier is 1.15 as that increases a number by 15%