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3 years ago

Shown is a pentagon, with the size of each angle shown. Work out the largest angle.

Mathematics

2 answers:

algol133 years ago

8 0

Answer:

I think it would be the bottom left angle, x + 20 = 20x.

Why the others are smaller:

10x (x + 10)

12x (2x + 10)

10x (x + 10)

Step-by-step explanation:

VARVARA [1.3K]3 years ago

8 0

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 20 = 2(70) + 20 = 140 + 20 = 160°

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Evan and Luke see 8 worms on the path. Luke sees 2 more worms than Evan. Even sees 3 worms.How many worms does Luke see? 10 is m

Lina20 [59]

Answer:

Luke saw 5 worms

Step-by-step explanation:

Evan and Luke saw 8 worms on the path.

Evan saw 3 worms while Luke saw 2 Worms more than Evan.

So luke is +2 of Evan

Luke= 3+2

Luke = 5

Luke saw a total of 5 worms while Evan saw a total of 3 worms adding up to a total of 8 worms

7 0

3 years ago

We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance

MAVERICK [17]

Answer:

a) The height of the small object 3 seconds after being launched is 2304 feet.

b) The small object ascends 128 feet between 5 seconds and 7 seconds.

c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) The object will take 21 seconds to hit the ground.

Step-by-step explanation:

The correct formula for the height of the small object is:

$h(t) = -16\cdot t^{2}+256\cdot t+1680$ (1)

Where:

$h$ - Height above the ground, measured in feet.

$t$ - Time, measured in seconds.

a) The height of the small object at given time is found by evaluating the function:

$h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680$

$h(3\,s) = 2304\,ft$

The height of the small object 3 seconds after being launched is 2304 feet.

b) First, we evaluate the function at $t = 5\,s$ and $t = 7\,s$ :

$h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680$

$h(5\,s) = 2560\,s$

$h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680$

$h(7\,s) = 2688\,s$

We notice that the small object ascends in the given interval.

$\Delta h = h(7\,s)-h(5\,s)$

$\Delta h = 128\,ft$

The small object ascends 128 feet between 5 seconds and 7 seconds.

c) If we know that $h = 2640\,ft$ , then (1) is reduced into this second-order polynomial:

$-16\cdot t^{2}+256\cdot t-960=0$ (2)

All roots of the resulting equation come from the Quadratic Formula:

$t_{1} = 10\,s$ and $t_{2}= 6\,s$

The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) If we know that $h = 0\,ft$ , then (1) is reduced into this second-order polynomial:

$-16\cdot t^{2}+256\cdot t +1680 = 0$ (3)

All roots of the resulting equation come from the Quadratic Formula:

$t_{1} = 21\,s$ and $t_{2} = -5\,s$

Just the first root offers a solution that is physically reasonable.

The object will take 21 seconds to hit the ground.

8 0

3 years ago

look at points c and d on the graph: what is the distance (in units) between points c and d? round your answer to the nearest hu

Aloiza [94]

Answer:

5.85

Step-by-step explanation:

Use the pyramtherm theorem method and I got this answer.

5 0

3 years ago

I have a shape. one side is 13cm, the opposite side is 9cm, the top is 11cm, and the bottom is 10 cm. is it a parallelogram or a

Shtirlitz [24]

It would be a trapezoid because parallelograms have the top and bottom usually the same number.

3 0

3 years ago

If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely to fit the histogram?

melomori [17]

The correct answer among all the other choices is a bell-shaped curve, better known as a normal distribution. This is the curve that is most likely to fit the histogram. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.

8 0

4 years ago