Jake recorded a temperature of 9 degrees Celsius, and Kwan recorded a temperature of -22 degrees Celsius. How much warmer was th
1 answer:
You might be interested in
The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
Answer:
10.3
Step-by-step explanation:
The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.
The angle at T is ...
180° - 119° -36° = 25°
The law of sines tells us side s will be ...
s/sin(S) = t/sin(T)
s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)
s ≈ 10.34763
s ≈ 10.3
__
<em>Additional comment</em>
u/sinU = t/sin(T)
u = sin(36°)×5/sin(25°) ≈ 6.95409
Option D (The student should have used as the slope of the perpendicular line.) is correct.
Step-by-step explanation:
We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2
The slope of the required line would me -1/m because both lines are perpendicular.
So, slope of new line will be: -1/4
because the equation of slope-intercept form is: where m is the slope
Now, for finding equation the student used point slope form i.e
where y_1 and x_1 are the points and m is the slope.
Putting values:
x_1=-8, y_1=5 and m=-1/4
This is the correct solution.
The student made error by using the wrong slope he used 2 instead of -1/4
in the step
So, Option D (The student should have used as the slope of the perpendicular line.) is correct.
Keywords: Equation of line using Slope
Learn more about Equation of line using Slope at:
#learnwithBrainly