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3 years ago

Fill in the blank and dropdown menus to form a true statement below.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

It's polyhedron, not polygon

Because above figure has merely 10 sides.

so the polyhedron above has 10 sides, each of them has 20°.

so total degree in polyhedron is > 180(n-2)

>180(10-2)

> 180×8

> 1440

Step-by-step explanation:

Hope it helps you

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PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0

1 year ago

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The sum of twice a number and 8 is 44. what's the number? show your work.

mezya [45]

Answer:

Step-by-step explanation:

We can work backwards with this and take 44-8=36

Then we divide it by two and thats 18

3 0

3 years ago

A robot can complete 3 tasks in 4/5 hour. Each task takes the same amount of time.

nikitadnepr [17]

A. 16 minutes.
b. around 3.5 tasks.

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4 years ago

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Please someone help me

Katena32 [7]

Answer: B.) -4+3

Step-by-step explanation:

The model represents "-4+3" because the blue arrow (top) stops at 3 which is a positive and the red arrow (bottom) stops at -4 which is a negative.

8 0

3 years ago

What is the sum of 15 – 6i and –2 + 9i? 13 + 3i 17 + 3i 24 – 147i 24 + 147i

Delicious77 [7]

13 + 3i

15 - 6i - 2 + 9i → Sum

collect like terms

(15 - 2) + ( - 6i + 9i) =13 + 3i

7 0

3 years ago

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Fill in the blank and dropdown menus to form a true statement below.​

Fill in the blank and dropdown menus to form a true statement below.