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hoa [83]
3 years ago
12

Please Help! 20 Points!

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0
\text {x - coordinate = }  \bigg( 5\dfrac{1}{2}  +  3\dfrac{3}{4} \bigg) \div 2

\text {x - coordinate = }  \bigg( 5\dfrac{2}{4}  +  3\dfrac{3}{4} \bigg) \div 2

\text {x - coordinate = } 8\dfrac{5}{4}   \div 2

\text {x - coordinate = }\dfrac{37}{4}   \times  \dfrac{1}{2}

\text {x - coordinate = }\dfrac{37}{8}

\text {x - coordinate = } 4\dfrac{5}{8}



\text {y - coordinate = } \bigg( -4\dfrac{1}{4} - 1\dfrac{1}{4} \bigg) \div 2

\text {y - coordinate = } -5\dfrac{2}{4} \div 2

\text {y - coordinate = } -\dfrac{22}{4} \times  \dfrac{1}{2}

\text {y - coordinate = } -\dfrac{11}{4}}

\text {y - coordinate = } -2\dfrac{3}{4}}



\text {The coordinate is }\bigg( 4\dfrac{5}{8}, -2\dfrac{3}{4}} \bigg)

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50 meters to 20 meters<br><br> Increase or decrease?
Aleonysh [2.5K]

Answer:

Decrease

Step-by-step explanation:

50 is bigger than 20, so it's decreasing and the units are the same.

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2 years ago
Plspslososlslssllsjidpls help
hodyreva [135]

Answer:

Step-by-step explanation:

it's the second answer ,  the number of degrees between 0 and -5

7 0
3 years ago
Which graph represents a proportional relationship?<br> A<br> B<br> C<br> D
Andre45 [30]

Answer:

D!

Step-by-step explanation:

its pretty hard to explain but let me put it like this- it crosses through (0,0) and it mirrors itself in the 1st and 3rd quadrants

6 0
3 years ago
Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.
krok68 [10]

Answer:

  • Josh's book lands first
  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

  h(t) = -16t² +60t +40

We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

3 0
3 years ago
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
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