Answer:
5x/x+3
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask!
Answer:
sqrt 50
Step-by-step explanation:
First of all this is a square so if AB = 5, then AD is also 5.
Let's get rid of the other triangle and only focus on triangle ABD.
Using Pythagorean theorem we are able to solve this problem.
The Pythagorean Theorem basically states that:
a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.
Substitute these numbers in: 5^2 + 5+2 = c^2
Solve: 50 = c^2
c= sqrt 50
^ and that is our answer!
Answer:
sin(2θ) = 24/25
Explanation:
In order to find the value of sin 2θ, first, recall the double-angle formula for sine.

From the right-triangle:

Substitute these values into the double-angle formula obtained earlier.

The exact value of sin(2θ) is 24/25.
1/6 is greater than 1/8, because when you change the fractions 1/6 will be 4/24 but 1/8 will be 3/24. To change the fractions you first have to find the lowest number that both denominators can go in, so it is 24. 6 can go into 24 four times, so you multiply the numerator by 4 making 1/6 4/24. 8 can go into 24 three times, so you multiply the numerator by 3 so 1/8 = 3/24.
We need to find the surface area of the solid.
Since it's formed by cubes with edges of 1 meter, each square on the surface of the solid has an area equal to:

Thus, to find its surface area, we need to count the number of squares on its surface, and then multiply this number by 1 meter².
We can see that this solid has two equal latera surfaces (right and left). Each one of them has 17 squares.
Also, the number of squares on the horizontal surfaces is the same on the top and bottom of the solid. Each one of them has 10 squares.
And the vertical surfaces on the front and back of the solid have the same number of squares: 8 squares each.
Then, adding those quantities and multiplying the result by two, we find the total number of squares on the surface of the solid:

Therefore, the surface area of the solid is 70 m².