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3 years ago

Write thevfraction as a mixed number 31/6

Mathematics

2 answers:

Murljashka [212]3 years ago

7 0

It would be 5 1/6 since 31 can be divided by 5 but it will have 1/6 left

Alex787 [66]3 years ago

4 0

The fraction 31/6 as a mixed number would be 5 1/6 because 6 goes into 31 5 times and you have 1 left over! So it would be 5 1/6. Hope that helps!

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

The area of a triangle is comtinous or discrete

Colt1911 [192]

Answer:

Continuous

Step-by-step explanation:

The area of a triangle is continuous. It can be any measure of fraction or decimal depending on the side lengths. It has no restrictions to be only whole numbers or a specific set of numbers.

3 0

3 years ago

100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

ABC have sides: 5, 7 and 10

5^2 + 7^2 = 25+47 = 72 < 10^2

so triangle ABC is obtuse

JKL has sides: 12, 35 and 37

12^2 + 35^2 = 144 + 1225 = 1369 = 37^2

so triangle JKL is right-angled

PQR has sides 12, 10 and 16

12^2 + 10^2 = 144 + 100 = 244 > 16^2

so triangle PQR is acute

5 0

3 years ago

Read 2 more answers

Find the circumference of a circle whose area is equal to 64π^2

PilotLPTM [1.2K]

Answer:

14 6/7 is the circumference

Step-by-step explanation:

you first of all look for the radius using the formulae multiply both sides by the reciprocal of 22/7

7/22 ×22/7r=64×7/22=224/11{2 4/11)

2 4/11 is the radius

cir =2×22/7×2 4/11

2×22/7× 26/11=104/7

==== =14 6/7

all i can do but am not sure sorry

7 0

2 years ago

X+y+z=2 X-y-z=2 x-y+z=-6

likoan [24]

<h2>The first one:</h2>

solve for x.

Step 1: Add -y to both sides.

x+y+z+−y=2+−y

x+z=−y+2

Step 2: Add -z to both sides.

x+z+−z=−y+2+−z

x=−y−z+2

solve for y.

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -z to both sides.

y+z+−z=−x+2+−z

y=−x−z+2

solve for z.

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -y to both sides.

y+z+−y=−x+2+−y

z=−x−y+2

<h2>The second one:</h2>

solve for x.

Step 1: Add y to both sides.

x−y−z+y=2+y

x−z=y+2

Step 2: Add z to both sides.

x−z+z=y+2+z

x=y+z+2

solve for y.

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add z to both sides.

−y−z+z=−x+2+z

−y=−x+z+2

Step 3: Divide both sides by -1.

−y /−1 = −x+z+2 /−1

y=x−z−2

solve for z.

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add y to both sides.

−y−z+y=−x+2+y

−z=−x+y+2

Step 3: Divide both sides by -1.

−z /−1 = −x+y+2 /−1

z=x−y−2

<h2>The third one:</h2>

solve for x.

Step 1: Add y to both sides.

x−y+z+y=−6+y

x+z=y−6

Step 2: Add -z to both sides.

x+z+−z=y−6+−z

x=y−z−6

solve for y.

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add -z to both sides.

−y+z+−z=−x−6+−z

−y=−x−z−6

Step 3: Divide both sides by -1.

−y /−1 = −x−z−6 /−1

y=x+z+6

solve for z.

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add y to both sides.

−y+z+y=−x−6+y

z=−x+y−6

I hope this was helpful <3

3 0

3 years ago