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irga5000 [103]
3 years ago
10

Pls help me 20 points

Mathematics
2 answers:
melamori03 [73]3 years ago
4 0

Answer:

I think the second one.

Step-by-step explanation:

Paladinen [302]3 years ago
3 0
The second one is correct
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The lengths of the sides of a triangle are consecutive odd integers. If the perimeter is 1 less than 4 times the shortest side,
Lubov Fominskaja [6]
Let the shortest side be x.  Then the other two sides will be x+1 and x+2.

Perimeter = P = sum of the lengths of all three sides = x  +  (x+1) + (x+2) 

This perimeter = 4x -1 (1 less than 4 times the shortest side).

Then x + x + 1 + x + 2 = 4x - 1
      or:        3x + 3         = 4x -1                 Subtr. 3x from both sides:
                                                                  3 = x - 1

x=4, x+1=5, and x+2=6

The 3 sides have lengths 4, 5 and 6.
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3 years ago
Find the area of the rhombus below.
scoray [572]
<h2>Area = 80 ft²</h2><h2>------------------------------</h2>

<u>Step-by-step explanation:</u>

diagonal 1 (d1) = 5 + 5

= 10 ft

diagonal 2 (d2) = 8 + 8

= 16 ft

area of rhombus = 1/2 × d1 × d2

= 1/2 × 10 × 16

= 80 ft²

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3 years ago
Use the rectangle hexagon with side length 10 meters to fill in the missing information
Vlada [557]

Answer:

A_h=150\sqrt{3}\ m^2

Step-by-step explanation:

<u>Regular Hexagon</u>

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

x=5 m

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

\theta=360/12=30^o

Now we have \theta, the height of the triangle y is easily found by

\displaystyle tan30^o=\frac{x}{y}

Solving for y

\displaystyle y=\frac{x}{tan30^o}=\frac{5}{ \frac{1} {\sqrt{3} }}=5\sqrt{3}

The value of z can be found by using

\displaystyle sin30^o=\frac{x}{z}

\displaystyle z=\frac{x}{sin30^o}=\frac{5}{\frac{1}{2}}=10

The area of the triangle is

\displaystyle A_t=\frac{xy}{2}=\frac{5\cdot 5\sqrt{3}}{2}=\frac{25\sqrt{3}}{2}

The area of the hexagon is 12 times the area of the triangle, thus

\displaystyle A_h=12\cdot A_t=12\cdot \frac{25\sqrt{3}}{2}=150\sqrt{3}

\boxed{A_h=150\sqrt{3}\ m^2}

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3 years ago
What is 364/5 as a mixed number?
Sedbober [7]
.......................WELL I GOT 72.8
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A gift shop is having a sale. You can buy 14 cards for $6. What is the cost of 35 cards during the sale?
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Answer:

1 card = $6/14

= (3/7) x 35

= 15

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3 years ago
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