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Alborosie
3 years ago
5

Can anyone help me with these questions!!!

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

The Pythagorean Theorem is a^2 +b^2 = c^2, where a and b are the sides and c is the hypotenuse ( angled line)


5.

4^2 + 12^2 = c^2

16 + 144 = c^2

160 = c^2

c = √160

c = 4√10


6.

15^2 + b^2 = 27^2

225 + b^2 = 729

b^2 = 729 - 225

b^2 = 504

b = √504

b = 6√14


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A pyrotechnician plans for two fireworks to explode together at the same height in the air. They travel at speeds shown below. F
Anastasy [175]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
<span>By the time firework a has been launched, firework b has already been launched for 0.25 seconds, so if we treat the two as equations, then

a = 220 (t)
b =</span> 220 (t) +  220 (.25)

<span>And we want to know when these two equal eachother, as that's they will both detonate.

220t = 200 t + 200 (.25)
20t = 50 
t = 2.5</span>
7 0
3 years ago
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
stiks02 [169]

Answer:

31\:\text{square units}

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by A=\frac{1}{2}bh and the area of a trapezoid is given by A=\frac{b_1+b_2}{2}\cdot h (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): \frac{1}{2}\cdot 4\cdot 4=8

Area of second triangle (smaller triangle to the figure's right ): \frac{1}{2}\cdot 2\cdot 5=5

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): 4\cdot 2 =8

Area of first triangle (larger triangle to the figure's left): 5\cdot 2=10

Thus, the area of the entire figure is:

8+5+8+10=\boxed{31\:\mathrm{units^2}}

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3 years ago
Billy left home at 9 am and rode his bike to the park at an average speed of 10 miles per hour. He arrived at the park at 9:30 a
mario62 [17]
Billy's house is 5 miles away.
Hope that helps.
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4 years ago
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Zanzabum

Answer:correction so 1] y = 3x + 7

// Plug this in for variable y in equation [2]

[2] 5x + 2•(3x+7) = 3

[2] 11x = -11

// Solve equation [2] for the variable x

[2] 11x = - 11

[2] x = - 1

// By now we know this much :

x = -1

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// Use the x value to solve for y

y = 3(-1)+7 = 4

Step-by-step explanation:

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Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the s
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Answer: 6

Step-by-step explanation:

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