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jolli1 [7]
3 years ago
9

The science club is selling puzzles to raise money. The supplier charges a one-time fee of $55 for each order and $10 for each p

uzzle. Write and solve an equation to find the number of puzzles the science club can buy if they have $1,245.
Mathematics
1 answer:
wariber [46]3 years ago
7 0

I believe you can do 1,245 divided by 65 to find out how many puzzles they can buy I may be wrong :/

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In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.
SVEN [57.7K]

The length of PN is 2.63 feet

<u>Explanation:</u>

<u />

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

tan \alpha = \frac{perpendicular}{base}

tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet

Therefore, the length of PN is 2.63 feet

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23 gallons= _____ pints​
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Answer:

23 = 184

Step-by-step explanation:

1 gallon = 8 pints

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The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which functio
ss7ja [257]
The min or max of a parabola/quadratic function is the vertex

for
y=a(x-h)²+k
the vertex is (h,k)

so
vertex/min is at (-1,2)
h=-1
k=2

y=a(x-(-1))²+2
y=a(x+1)²+2
find a
given, (2,20) is on the graph

20=a(2+1)²+2
20=a(3)²+2
20=9a+2
minus 2 both sides
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3 years ago
Which of these tables represents a function?
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The answer would be B

Step-by-step explanation:

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Find the area of the equilateral triangle if a side is 8 squared root 3 m. Round to the nearest whole number. 67 m2 55 m2 28 m2
PilotLPTM [1.2K]

Answer:

The correct option is: 83 m²

Step-by-step explanation:

Side of an equilateral triangle: a = 8√3 m

Area of a triangle = 1/2 × base × height

Here, the height of the triangle = the length of the perpendicular bisector

Therefore, using the <u>Pythagoras theorem</u> to calculate the length of the perpendicular bisector of an equilateral triangle

a² = b² + c²

Here, hypotenuse of the smaller triangle: a = 8√3 m

base of the smaller triangle: b = a ÷ 2 = 8√3 ÷ 2 m = 4√3 m

and perpendicular bisector: c = ?

∴ a² = b² + c²

⇒ (8√3)² = (4√3)² + c²

⇒ c² = (8√3)² - (4√3)² = 192 - 48 = 144

<u>So, the height of the equilateral triangle</u>: c = √144 m = 12 m

and base of the equilateral triangle = 8√3 m

Therefore, the area of the equilateral triangle = 1/2 × base × height = 1/2 × 8√3 m × 12 m = 48√3 m² ≈ 83 m²

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3 years ago
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