Number one is 12. There is 12 cubes.
Answer is squareroot of 21 or 4.58 in decimal
by pythagorean theorem
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Answer:
<h2>The area of the triangle ABC is 32 square inches.</h2>
Step-by-step explanation:
We know that the given triangle is a right-isosceles triangle, which means its leg are equal.
The area of a triangle is defined as

Where
and
. Replacing values, we have

Therefore, the area of the triangle ABC is 32 square inches.
25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path. This can be obtained by considering this as a right angled triangle.
<h3>How fast is the tip of his shadow moving?</h3>
Let x be the length between man and the pole, y be the distance between the tip of the shadow and the pole.
Then y - x will be the length between the man and the tip of the shadow.
Since two triangles are similar, we can write

⇒15(y-x) = 6y
15 y - 15 x = 6y
9y = 15x
y = 15/9 x
y = 5/3 x
Differentiate both sides
dy/dt = 5/3 dx/dt
dy/dt is the speed of the tip of the shadow, dx/dt is the speed of the man.
Given that dx/dt = 5 ft/s
Thus dy/dt = (5/3)×5 ft/s
dy/dt = 25/3 ft/s
Hence 25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path.
Learn more about similar triangles here:
brainly.com/question/8691470
#SPJ4
Step-by-step explanation:
y = 2x - 15
4x + 3y = -5
4x + 3(2x - 15) = -5
4x + 6x - 45 = -5
10x = 40
x = 40/10
x = 4
y = 2x - 15
y = 2(4) - 15
y = 8 - 15
y = -7
Solution = (4,-7)
Option → C