First, we need to identify the integers between 301 and 400 that are divisible by 4. The initial number is 304, which is the first multiple of 4 in that range. The sequence formed is 304, 308, 312,...,400, creating an arithmetic progression (AP). To determine how many such integers exist, we utilize the AP formula.
<span>Which formula can be applied to find the side length of the rhombus?
The correct answer is the first choice: 10/Cos(30°) Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
</span>
Got it!
There are 2π radians in a complete circle.
Now, let's calculate the circumference.
5/2π = 60/circumference.
Next, solve for the circumference.
By multiplying both sides by 2π, we have: 5 * circumference = 120π.
Now divide both sides by 5, and we find: circumference = 24π.
Using the formula c = 2πr,
we set 24π = 2πr.
Dividing both sides by 2π gives us r = 12. Thus, the radius measures 12cm.
Answer:
118.2°
Step-by-step explanation:
Dos líneas paralelas x e y son cortadas por la transversal w (ver el diagrama adjunto).
Se forman 8 ángulos (denominados 1, 2, 3, 4, 5, 6, 7 y 8).
Los ángulos 1 y 6 son ángulos del mismo lado cuando dos líneas paralelas x e y son cortadas por la transversal w.
Dos ángulos del mismo lado son suplementarios (suman 180°). Esto significa

Dado
por lo que
