The sides and angles of a triangle can be determined using trigonometry ratios
The values of x, y and z are , and
<h3>How to determine the missing values of the triangle</h3>
The upper triangle is a right triangle with an angle measure of 45 degrees.
So, the value of x is:
Next, we calculate the hypotenuse (h) of the lower triangle using:
So, we have:
Take the square roots of both sides
The value of y is then calculated using the following sine ratio
Make y the subject
Evaluate
The value of z is then calculated using the following cosine ratio
Make z the subject
Evaluate
Hence, the values of x, y and z are , and
Read more about right triangles at:
brainly.com/question/14628284
Answer:
the train travels 400 miles
Step-by-step explanation:
80x5= 400 (i think???!!)
Answer:
La masa del recipiente vacío es 1,2146 kg.
Step-by-step explanation:
La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:
Entonces la masa puede ser expresada como:
masa= densidad*volumen
En este caso:
- densidad del agua= 1000
- volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³
Reemplazando:
masa= 1000 * 7,854*10⁻⁴ m³
masa=0.7854 kg
Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:
2 kg - 0,7854 kg= 1,2146 kg
Entonces,<u><em> la masa del recipiente vacío es 1,2146 kg.</em></u>
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Answer:
2 students study none of the subjects.
Step-by-step explanation:
Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).
We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.
If rounding up, it's closest to 1. If rounding to the nearest point, it's 1/2