Answer:
5 binders
Step-by-step explanation:
3 times 5 binders would be 15$, and since he paid with 20$, that is 5 dollars change
As an algbraic equation:
3x+5=20
3x=15
x=5
Answer:
The expression from part B is = (1 • 2) • (106 • 10-8).
Multiply the first factors.
1 • 2 = 2
Multiply the powers of 10 using this property of exponents: anam = an + m.
106 • 10-8 = 106 + (-8) = 10-2
The expression is 2 × 10-2.
Step-by-step explanation:
This is Plato and edmentumm sample response. Please paraphrase other wise you will get in trouble. I'm sorry if I'm late!
The measure of the acute angle that the wire makes with the ground is 63.27°.
The situation forms a right angle triangle.
<h3>How to find the angle of a right triangle?</h3>
The length of the wire is the hypotenuse of the right triangle.
The distance from the foot of the pole is the adjacent side of the right triangle.
Therefore,
cos ∅ = adjacent / hypotenuse
cos ∅ = 18 / 40
cos ∅ = 0.45
∅ = cos⁻¹ 0.45
∅ = 63.2563160496
∅ = 63.27°
learn more on right angle triangle here: brainly.com/question/14866099
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Answer:
A = 45
B = 90
C = 45
Step-by-step explanation:
Isosceles triangles have two side that are the same and two angles that are the same. Since one angle, B, is a right angle, 90°, that means the other 2 angles, A & C, added together equal 90°.
Divide 90 by 2 and you 45° for both A and C.
The expression 4a^2c^2 - (a^2-b^2+c^2)^2 has to be factored.
4a^2c^2 - (a^2 - b^2 + c^2)^2
=> (2ac)^2 - (a^2 - b^2 + c^2)^2
=> (2ac - a^2 + b^2 - c^2)(2ac + a^2 - b^2 + c^2)
=> (b^2 - (a^2 - 2ac + c^2))((a^2 + 2ac + c^2) - b^2)
=> (b^2 - (a - c)^2)((a + c)^2 - b^2)
=> (b - a + c)(b + a - c)(a + b + c)(a - b + c)
<span>
The factorized form of 4a^2c^2 - (a^2-b^2+c^2)^2 is (b - a + c)(b + a - c)(a + b + c)(a - b + c)</span>
