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2 years ago

Will mark brainleist What parts can you break up trapezoids into?

Mathematics

1 answer:

Olin [163]2 years ago

6 0

You can break it up into two triangles

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Trying to finish this test at 3:30 am plz help

Angelina_Jolie [31]

Given:

The given sum is:

$\sum _{k=4}^9(5k+3)$

To find:

The expanded form and find the sum.

Solution:

We have,

$\sum _{k=4}^9(5k+3)$

The expanded form of given sum is:

$\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)$

$\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)$

$\sum _{k=4}^9(5k+3)=23+28+33+38+43+48$

$\sum _{k=4}^9(5k+3)=213$

Therefore, the correct option is C.

7 0

3 years ago

If it takes 3 men 5 hours to dig 12 holes, how many hours does it take for 3 men to dig 84 holes?

alexgriva [62]

Answer:

Hence it will take 35hours

Step-by-step explanation:

Let the time it took to dig hole be x

Ley the number of holes be n

Using the relationship x = kn (direct relationship)

if it takes 3 men 5 hours to dig 12 holes, hence;

when x = 5, n = 12

k = x/n

k = 5/12

To get how many hours it take for 3 men to dig 84 holes, then;

when n = 84, x = ?

x = 5/12 * 84

x = 5 * 7

x = 35hours

Hence it will take 35hours

8 0

2 years ago

7.EE.1.1

victus00 [196]

Answer:

-0.55n - 0.05

Step-by-step explanation:

You can start by distributing:

(0.25n - 0.3) - (0.8n - 0.25)

0.25n - 0.3 - 0.8n + 0.25

Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)

-0.55n - 0.05

4 0

2 years ago

Read 2 more answers

Which of the following is the sum of the polynomials 5x^2-4x+1 and -3x^2+x-3??

Katyanochek1 [597]

5x^2-4x+1 + -3x^2+x-3= 2x^2-3x-2

6 0

2 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago