Answer:
She returned 5 gifts.
Step-by-step explanation:
36 gifts is 60% = 0.6 of all the gifts that she received. How many presents are 100% = 1?
36 gifts - 0.6
x gifts - 1
0.6x = 36
x = 36/0.6
x = 60
She received 60 gifts.
She opened the rest of the gifts and found that 25% of them were the same present
The rest is 60 - 36 = 24 gifts.
25% is (1/4)*24 = 6 duplicate figts
She returned all but one of the duplicate gifts.
That is, she returned 6 - 1 = 5 gifts.
Answer:
Step-by-step explanation:
![5\sqrt[3]{x+8}=35\\ \\ \sqrt[3]{x+8}=7\\ \\ x+8=7^3\\ \\ x+8=343](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7Bx%2B8%7D%3D35%5C%5C%20%5C%5C%20%5Csqrt%5B3%5D%7Bx%2B8%7D%3D7%5C%5C%20%5C%5C%20x%2B8%3D7%5E3%5C%5C%20%5C%5C%20x%2B8%3D343)
The amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Henry has a box in the shape of a square pyramid.
He wants to wrap the box with paper.
If the base has side lengths of 5 in. and the lateral height is 8 in.
Then the amount of the wrapping paper that he needs to cover the pyramid will be

Thus, the amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
More about the geometry link is given below.
brainly.com/question/7558603
#SPJ1
The correct answer is 35. What are you trying to figure out?
<u>4 sec²(x) = 8</u>
Divide each side by 4: sec²(x) = 2
Take the square root of each side: sec(x) = + or - √2
We know that sec(x) = 1/cos(x)
So the equation becomes 1/cos(x) = + or - √2
Divide '1' by each side: cos(x) = + or - (1/2) √2
x = <em>45°, 135°, 225°, 315°
</em>