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3 years ago

Use the digits 1,2,3,4,5 and the following clues to find the 5-digit number.

Mathematics

2 answers:

lord [1]3 years ago

6 0

Has to be 24,325 I saw this question before

aliina [53]3 years ago

5 0

24,325

It’s less than 30,000
The 3 is next to the 2
The 2 isn’t next to 1 or 4
The 5 isn’t next to 1 or 4
The 3 is next to 4

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Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

melamori03 [73]

Answer:

$6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}$

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs $AB=3$ , $BC=4$ , and $AC=5$ . The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base $b$ and height $h$ is given by $A=\frac{1}{2}bh$ . Therefore, the area of this right triangle is:

$A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}$

The other triangle is a bit trickier. Triangle $\triangle ADC$ is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

$A=\sqrt{s(s-a)(s-b)(s-c)}$ , where $a$ , $b$ , and $c$ are three sides of the triangle and $s$ is the semi-perimeter ( $s=\frac{a+b+c}{2}$ ).

The semi-perimeter, $s$ , is:

$s=\frac{5+5+4}{2}=\frac{14}{2}=7$

Therefore, the area of the isosceles triangle is:

$A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}$

Thus, the area of the quadrilateral is:

$6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}$

4 0

3 years ago

1. 1 +2r =<br><br><br> 2. 12 = 18 - d<br><br><br> 3. 5b + 10 = 30

seropon [69]

Answer:

1. r=anything

2. d=6

3. b=4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is a(4-x) = 3x+b?

Bogdan [553]

Answer:

a=3x+b/4-x

Step-by-step explanation:

I dont know which variable you're supposed to solve for. But here's how i got the answer above:

Divide each term in a(4-x)=3x+b by 4-x

a(4-x)/4-x=3x/4-x+b/4-x

Then, cancel the common factor of 4-x, giving you

a=3x/4-x+b/4-x

Finally, combine the numerators over the common denominator,

giving you a=3x+b/4-x

4 0

3 years ago

The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3

Firlakuza [10]

I think it’s B.P2= 1/1

3 0

3 years ago

What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific resul

Sindrei [870]

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

<h3>What is distributive property?</h3>

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Learn more about distributive property at: brainly.com/question/5637942

#SPJ1

4 0

2 years ago