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cupoosta [38]
3 years ago
11

PLEASE ANSWER URGENT

Mathematics
2 answers:
mojhsa [17]3 years ago
7 0

Answer:

43.988

Step-by-step explanation:

do 14 times 3.142

lana66690 [7]3 years ago
4 0

Answer:

c =\pi \: d\\  = 3.142\times 14 \\  = 43.988 \: cm

Hence, circumference of the circle = 43.988 cm.

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The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and area of the rh
rewona [7]

Hi there! :)

<u>Answer:</u>

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²


Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

c² = a² + b² → Where "c" is the hypotenus & "a" and "b" are the two other sides.

<u>45² = 36² + b²</u> → Where "b" is the half of the unknown diagonal.

We can now solve this equation for "b":

<u>45²</u> = <u>36²</u> + b²

45² = <u>2,025</u>

36² = <u>1,296</u>

2,025 = <u>1,296</u> + b²

Subtract "1,296" from each side of the equation → 2,025 - 1,296 = <u>729</u>

729 = b<u>²</u>

Square root on each side of the equation → √729 = <u>27</u>

<u>27 = b</u>

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

27 × 2 = <u>54 ⇒ Length of the other diagonal.</u>


2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

<u>(72 × 54)</u> ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = <u>3,888</u>

<u>3,888 ÷ 2</u> = A

<u>1,944 = A</u>


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581, what were the sales (in
Art [367]

Answer:

Step-by-step explanation:

(103,581) • (%110)

= (103,581) • (1.10)

=  $113,939.1

7 0
3 years ago
Read 2 more answers
9. A triangle is dilated using a scale factor of 4. The image is then dilated
dimulka [17.4K]

Answer:

4-3=1

Step-by-step explanation:

it was dilated by 1

dunno what this was really  askin tho

8 0
3 years ago
Find the value of x in the triangle shown below.<br> 4<br> 5<br> Choose 1 answer
nikitadnepr [17]

Answer:

x=3

Step-by-step explanation:

using the pythagorean theorem, c^2=a^2+b^2

5^2=x^2+4^2, x=3

4 0
3 years ago
Dennis mowed his next door neighbor's lawn for a handful of dimes and nickels 80 coins in all. upon completing the job he counte
lbvjy [14]
54 Dimes and 28 nickles 
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3 years ago
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