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Archy [21]
3 years ago
10

PLEASE ANSWER FAST! What is the base of a 30-60-90 triangle with a height of 12 yd?

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

side opposite 30° angle (shorter leg) = 6 cm

 

 side opposite 60° angle (longer leg) = 6√3 cm

Step-by-step explanation:

I'm not 100% sure if this is right but if its wrong i am so sorry.

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The point A(-2, 3) is translated using T: (x,y) = (x + 4, y + 2).
Charra [1.4K]

Answer: Choice D) 2\sqrt{5}

===========================================================

Work Shown:

Point A starts at (-2,3) and moves to (2,5) after applying the translation rule of "shift 4 to the right, 2 up".

Use the distance formula to find the distance from (-2,3) to (2,5)

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-2)^2 + (3-5)^2}\\\\d = \sqrt{(-4)^2 + (-2)^2}\\\\d = \sqrt{16 + 4}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\

6 0
4 years ago
What is the area of the polygon ?
Effectus [21]

Answer:

C)  99 in²

Step-by-step explanation:

you can divide this shape by drawing a horizontal line to create a 4x12" rectangle and a trapezoid with a height of (10-4) in and bases of 12 and 5"

area of rectangle:  12 x 4 = 48

area of trapezoid:  1/2(6)(12+5) = 3(17) = 51

total area = 48 + 51

total area = 99 in²

7 0
3 years ago
Read 2 more answers
Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie


STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
3 0
3 years ago
Plot the x- and y-intercepts to graph the equation. <br> y = 1/3x − 1
Trava [24]
If you have questions, feel free to ask

8 0
3 years ago
Read 2 more answers
Jill says that 12.6 is less than 12.63. explain her error
kenny6666 [7]

No the both are having first integer same and jolly dosen’t mention the 2nd integer after the decimal that is her error

7 0
3 years ago
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