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2 years ago

Which of the following possibilities will form a triangle? (5 points)

Mathematics

1 answer:

nevsk [136]2 years ago

6 0

Answer:

Side = 16 cm, side = 9 cm, side = 8 cm

Step-by-step explanation:

Side = 16 cm, side = 9 cm, side = 8 cm

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Find the perimeter of the quadrilateral.

levacccp [35]

Question:

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

Answer:

<h3>The perimeter of the quadrilateral is 129 inches</h3>

Solution:

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

$4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches$

The values of the side lengths when x = 2 are

$(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch$

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

5 0

2 years ago

Find the sum of the geometric sequence. 1, 1/4, 1/16, 1/64, 1/256

e-lub [12.9K]

Multiply the denominator by 4

6 0

3 years ago

PLEASE help with this question

Tema [17]

Answer:

option A

12m/s

Step-by-step explanation:

Given in the question,

mass of object = 11kg

kinetic energy possess by = 792 joules

To find the velocity we use formula

v = $\sqrt{\frac{2KE}{m} }$

Plug values in the formula

v = $\sqrt{\frac{2(792)}{(11)} }$

v = $\sqrt{\frac{1584}{11} }$

v = $\sqrt{144}$

v= 12 m/s

3 0

3 years ago

You are selling raffle tickets to raise money. Each ticket costs $5. Which equation solves for the number of tickets you must se

aleksley [76]

D. 5x = 45 because you are trying to find x, the number of tickets that must be sold to earn $45.

8 0

2 years ago

Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac

melomori [17]

Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ $b+c=20$
Equation [2] ⇒ $1.50b+5c=54.50$

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; $b$ and $c$ , that we need to solve, then this becomes a simultaneous equation problem.

First, rearrange Equation [1] to make either $b$ or $c$ the subject:
$b+c=20$
$b=20-c$

Then we substitute $b=20-c$ into Equation [2]
$1.50b+5c=54.50$
$1.50(20-c)+5c=54.50$
$30-1.50c+5c=54.50$
$5c-1.5c=54.50-30$
$3.5c=24.50$
$c=7$

Now we know the value of $c$ which is $c=7$ , substitute this value into $b=20-c$ we have $b=20-7=13$

Answer:
Numbers of books = 13
Numbers of CDs = 7

5 0

3 years ago