Answer:
8.3 cm
Step-by-step explanation:
1. Find the volume of the small cylinder (volume of a cylinder = πr² · h)
π(4.5²) · 17 = 1080.945 cm³
2. Set up the equation to find the volume of the big cylinder
πr² · 5 = 1080.945
3. Divide both sides by 5
πr² = 216.189
4. Divide both sides by π (3.14)
r² = 68.85
5. Square root both sides
r = 8.3 cm (rounded to the nearest tenth)
Refer to the diagram shown below.
By definition,
sin(35°) = 17000/x
Therefore
x = 17000/sin(35°) = 29,638.6 ft
Answer: 29,638.6 ft
Answer:
500
Step-by-step explanation:
1/10 of 5000 is 500.
500 x 10 = 5000
<span>Which expression can be used to determine the side length of the rhombus?
The answer is the first option: 10/Cos(30°) Explanation:
1. As you can see in the figure attached, there is a right triangle and its hypotenuse (which is represented with the letter "x") is the side you want to calculate. So, you have:
Cos(</span>α)=Adjacent leg/Hypotenuse
<span>
</span>α=30°
<span> Adjacent leg=(20 in)/2=10 in
Hypotenuse=x
2. When you substitute these values into the formula, you obtain:
</span>
Cos(α)=Adjacent leg/Hypotenuse
<span> Cos(30°)=10/x
3. Therefore, you obtain the expression to determine the side length of the rhombus by clearing the hypotenuse "x", as below:
x=10/Cos(30°)
</span>