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3 years ago

Find another common multiple of 30 and 42.

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

Your answer would be 210.

Gnom [1K]3 years ago

8 0

The answer can be 6 to

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Suppose a square ABCD has a side length of 1 unit. The arcs BD and AC are circular arcs with centers at A and D, respectively. F

Likurg_2 [28]

Answer:

$1-\frac{\sqrt{3} }{4}-\frac{\pi}{6}$

Step-by-step explanation:

The missing figure is shown in the attachment

The area of the shaded region = Area of Square - (Area of sector AOB + Area of equilateral triangle BOC + Area of sector COD)

Area of Sector AOB=Area of Sector COD= $\frac{30}{360}*\pi*1^2=\frac{\pi}{12}$

Area of equilateral triangle = $\frac{1}{2}*r*\frac{\sqrt{3} }{2}*r= \frac{1}{2}*1*\frac{\sqrt{3} }{2}*=\frac{\sqrt{3} }{4}$

Area of shade region = $1^2-\frac{\sqrt{3} }{4}-\frac{\pi}{12}*2$

$1-\frac{\sqrt{3} }{4}-\frac{\pi}{6}$

6 0

3 years ago

Let X be a random variable that is equal to the number of times a 5 is rolled in three rolls of a fair 5-sided die with the inte

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Firstly we will make PMF

For X=0, P=(4/5)^3=64/125

For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125

For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125

For X=3, P=C(3,3)*(1/5)^3=1/125

So,

E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84

E[X]=48/125+12/125*2+1/125*3=0.6

So,

E[X]^2=0.36

7 0

3 years ago

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is

Otrada [13]

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

7 0

3 years ago

Please help this is very easy!!!!!!!

CaHeK987 [17]

Answer:

40/42 = 20/21

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 8 (negative 10 x + 3.5 y minus 7)? Select two options.

Elza [17]

Question is Incomplete; Complete question is given below.

Which expressions are equivalent to 8 (negative 10 x + 3.5 y minus 7)? Select two options. Negative 80 x + 24.5 y minus 56 Negative 80 x + 28 y minus 56 80 x + 28 y + 56 4 (negative 20 x + 7 y minus 14) Negative 4 (negative 20 x + 7 y minus 14)

Answer:

Negative 80 x + 28 y minus 56

4 (negative 20 x + 7 y minus 14)

Step-by-step explanation:

Given:

$8(-10x+3.5y-7)$

We need to find the equivalent expression for given expression.

Solution:

$8(-10x+3.5y-7)$

First we will apply distributive property for given expression.

$a(x+y) =ax+ay$

So we get;

$8\times-10x+8\times3.5y-8\times7\\\\-80x+28y-56$

Hence first expression equivalent to given expression is $-80x+28y-56$ .

Now again evaluating the expression we get;

We will take 4 as common factor from the expression we get;

$-4\times20x+4\times7y-4\times14\\\\4(-20x+7y-14)$

Hence second expression equivalent to given expression is $4(-20x+7y-14)$ .

3 0

3 years ago

Read 2 more answers