Answer: here u go ig
Step-by-step explanation:
AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
The answer is k=64×8
k=512
9514 1404 393
Answer:
A) (3 cm x 4 cm ÷ 2) x 3 cm
Step-by-step explanation:
The volume is the product of the area of the triangular bases and the distance between them.
Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...
A = (1/2)bh
A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2
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The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...
V = Bh
V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A
There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.
It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.
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Answer:</u></h3>
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Step-by-step explanation:</u></h3>
You could solve this problem by either: Factoring or by using the Quadratic Formula.
SOLVING BY FACTORING STEPS
<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>
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<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>
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<em>STEP 3: </em><em>Simplify each term.</em>
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<em>STEP 4: </em><em>Simplify by adding terms.</em>
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<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>
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<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>
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SOLVE BY USING THE QUADRATIC FORMULA STEPS
<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>
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<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>
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<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>
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