Answer: 3-4-5-6-9-15-16-25
Step-by-step explanation:
First of all there are multiple formula's to get the volume of a trapezoidal prism:
V=(1/2 * (base1 + base2) * h) * height prism
Using the numbers you gave:
base1 = 7 base2 = 5 h = 4 height prism = 8
Putting this into the equation: V=(1/2 * (7 <span>+ 5) * 4) * 8
V= (1/2 * 12 * 4) * 8
V = 24 * 8
V = 192
The volume of the gift box is 191 inches squared.</span>
Answer:
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Step-by-step explanation:
what's the question
Answer:
x ≈ 46°
Step-by-step explanation:
Since the triangle is right use the sine ratio to solve for x
sinx = = , hence
x = ( ) ≈ 46°
The measure of the angle ∠PQR is 90 degrees
<h3>How to prove that ∠PQR is 90 degrees?</h3>
The equation of the line PQ is given as:
3x - y - 2 = 0
The coordinates of the QR are given as:
(0, -2) and (6, -4)
Make y the subject in 3x - y - 2 = 0
y = 3x - 2
The slope of the above line is
m1 = 3
Next, we calculate the slope (m2) of points Q and R.
So, we have:
m2 = (y2- y1)/(x2 - x1)
This gives
m2 = (-4 + 2)/(6 - 0)
Evaluate
m2 = -1/3
The slopes of perpendicular lines are opposite reciprocals.
m1 = 3 and m2 = -1/3 are opposite reciprocals.
This means the lines PQ and QR are perpendicular lines.
The angle at the point of perpendicularity is 90 degrees
Hence, the measure of the angle ∠PQR is 90 degrees
Read more about linear equations at:
brainly.com/question/15602982
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