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solong [7]
3 years ago
7

Jeremy needs three pieces of wood to make a triangular frame. Which lengths,in feet, will make a triangle?

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

h.2,3,4

Step-by-step explanation:

Any two side lengths of a triangle added together must be bigger than the third side length and the difference of any two side lengths must be smaller than the 3rd side length.

For the option h (2,3,4):

3+2> 4 and 3-2 <4

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Point A is at (-1,-9) and Point M is at (0.5,-2.5).
leva [86]
  • Midpoint Formula: (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})

So firstly, let's start with the x-coordinates. Since we know the midpoint's x-coordinate and point A's x-coordinate, we can solve for point B's x-coordinate as such:

\frac{-1+x}{2}=0.5\\\\-1+x=1\\\\x=2

Next, do the same thing except solve for the y-coordinate and using point A's y-coordinate and the midpoint's y-coordinate:

\frac{-9+y}{2}=-2.5\\\\-9+y=-5\\\\y=4

<u>Putting it together, point B's coordinates are (2,4).</u>

4 0
3 years ago
Can someone help meeeeee
11Alexandr11 [23.1K]

Answer:

Area of shaded rectangle = 42 cm²

55%

Step-by-step explanation:

The length of the shaded area is equal to the length of the white rectangle.

Therefore, length of shaded rectangle = 7 cm

The width of the shaded rectangle is equal to the length of the white rectangle <u>minus</u> two widths of the white rectangle.

Therefore, width = 7 - (2 x 0.5) = 6 cm

Area of shaded rectangle = width x length

                                          = 6 x 7

                                          = 42 cm²

----------------------------------------------------------------------------------------------

Perimeter of a square = 4 × side length

If the perimeter of the square is 40 cm,
then the side length = 40 ÷ 4 = 10 cm

Area of a square = side length x side length

⇒ area of this square = 10 x 10 = 100 cm²

To determine the shaded area, calculate the areas of the 2 white triangles and subtract these from the area of the square.

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

⇒ area of left triangle = 1/2 x (10 - 7) x 10 = 15 cm²

⇒ area of right triangle = 1/2 x 10 x (10 - 4) = 30 cm²

Therefore, shaded area = 100 - 15 - 30 = 55 cm²

To calculate the percentage, divide the shaded area by the area of the square and multiply by 100:

(55 ÷ 100) × 100% = 55%

7 0
2 years ago
The roots of the equation x^2+px+q=0 are -1 and 3. what is the value of q?
Alex787 [66]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes.
Dvinal [7]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mrs.taylor bought a water tube to pull behind her boat. The tube cost $87.00 and 9% sales tax was added at the register .mrs.tay
Westkost [7]
To find the sales tax you’d need to find 9% of 87. You find this by using this template, x%/100%=y/z, x being the sales tax, y being 9% in cash, and z being the 87 dollars. You multiply the x value by the z value, (9 X 87=783) and then divide that product by 100%. This gives you the sales tax of 7.83, and when you add that to 87 you get $94.83. Subtract that from the 5 20 dollar bills ($100) and you are left with $5.27 change.
4 0
3 years ago
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