The Math Club is sponsoring a bake sale. If their goal is to raise at least $300, how many pies must they sell at $6.00 each in
2 answers:
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Let's separate the hexagon into 5 shapes; 2 triangles on each side, and a rectangle in the middle. Now let's find the area of each of the smaller shapes.
Top left triangle:
The equation to find the area of a triangle is
(base = b, height = h, a = area)
a = b · h ·
Now let's add in our values and solve.
a = 2 · 4 ·
a = 8 ·
a = 4
Now since there are 4 of these triangles, and they're all the same size,
4 · 4 = 16
All of the triangles put together = 16cm²
The middle rectangle:
The equation to find the area of a rectangle is simple:
(w = width, l = length, a = area)
a = w · l
Now let's put in our values and solve.
a = 4 · 8
a = 32
The rectangle is 32cm²
Now let's add the areas together.
32 + 16 = 48
The answer is <span>48cm²
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
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Top left triangle:
The equation to find the area of a triangle is
(base = b, height = h, a = area)
a = b · h ·
Now let's add in our values and solve.
a = 2 · 4 ·
a = 8 ·
a = 4
Now since there are 4 of these triangles, and they're all the same size,
4 · 4 = 16
All of the triangles put together = 16cm²
The middle rectangle:
The equation to find the area of a rectangle is simple:
(w = width, l = length, a = area)
a = w · l
Now let's put in our values and solve.
a = 4 · 8
a = 32
The rectangle is 32cm²
Now let's add the areas together.
32 + 16 = 48
The answer is <span>48cm²
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
</span>
Answer:
Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:
we can substitute the value of sec(θ) in this equation:
and solve for for cos(θ)
side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:
we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.
- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:
and since