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6 mm
What is the area of this figure?
6 mm
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8 mm
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Answer:

Step-by-step explanation:

would help a lot if you show the picture or describe it very well.

Answer:

(i) It is known that the sum of probabilities of a probability distribution of random variables is one.

∴0+k+2k+3k+k

2

+2k

2

+(7k

2

+k)=1

⇒10k

2

+9k−1=0

⇒(10k−1)(k+1)=0

⇒k=−1,

10

1

k=−1 is not possible as the probability of an event is never negative.

∴k=

10

1

(ii) P(X<3)=P(X=0)+P(X=1)+P(X=2)

=0+k+2k

=3k

=3×

10

1

=

10

3

(iii) P(X>6)=P(X=7)

=7k

2

+k

=7×

10

1

2

+

10

1

=

100

7

+

10

1

=

100

17

(iv) P(0<X<3)=P(X=1)+P(X=2)

=k+2k

=3k

=3×

10

1

=

10

3

The recipe calls for 2 cups of flour. The double of this amount is :

[tex]\mathfrak{2*2} [/tex]

[tex]\underline{\mathfrak{=4}} [/tex]

If Ivan has 5 cups, then :

[tex]\mathfrak{5-4} [/tex]

[tex]\underline{\mathfrak{=1}} [/tex]

So, O A. Ivan has 1 cup of flour more than he needs.

[tex]\mathbb{MIREU} [/tex]

Answer:

10 quarters, 9 dimes, and 20 nickels.

Step-by-step explanation:

q - 1 = d, 2q = n or q = 1/2n

.25q + .10(q - 1) + .05(2q) = 4.40

.25q + .10q - .10 + .10q = 4.40

.45q - .10 = 4.40

.45q = 4.50

4.5/.45 = 10

He has 10 quarters, 9 dimes, and 20 nickels.

It is 4pi/7, or b. Just want to help ;)

Answer: 9

Step-by-step explanation:

3/4mile takes 1/12 hours

so a whole hour is 3/4 / 1/12 = 3/4*12 = 9miles/hour

Answer:

3/2 miles per hour

Step-by-step explanation:

To find his average speed, divide 3/4 mile by 1/2 hour:

 3        2

----- *  ------ = 3/2 miles per hour

 4         1

Explanation/Answer:

Total: 4 + 6 + 5 + 7 = 22

Green: 6 + 7 = 13

Probability: 13/22

Note: It Is Not Mutually Exclusive Events

Answer:7 x 2 − 14 x + 5

Step-by-step explanation:

1 In general, given a{x}^{2}+bx+cax  

2

+bx+c, the factored form is:

a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})

a(x−  

2a

−b+  

b  

2

−4ac

​

​

)(x−  

2a

−b−  

b  

2

−4ac

​

​

)

2 In this case, a=7a=7, b=-14b=−14 and c=5c=5.

7(x-\frac{14+\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})(x-\frac{14-\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})

7(x−  

2×7

14+  

(−14)  

2

−4×7×5

​

​

)(x−  

2×7

14−  

(−14)  

2

−4×7×5

​

​

)

3 Simplify.

7(x-\frac{14+2\sqrt{14}}{14})(x-\frac{14-2\sqrt{14}}{14})

7(x−  

14

14+2  

14

​

​

)(x−  

14

14−2  

14

​

​

)

4 Factor out the common term 22.

7(x-\frac{2(7+\sqrt{14})}{14})(x-\frac{14-2\sqrt{14}}{14})

7(x−  

14

2(7+  

14

​

)

​

)(x−  

14

14−2  

14

​

​

)

5 Simplify  \frac{2(7+\sqrt{14})}{14}  

14

2(7+  

14

​

)

​

  to  \frac{7+\sqrt{14}}{7}  

7

7+  

14

​

​

.

7(x-\frac{7+\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})

7(x−  

7

7+  

14

​

​

)(x−  

14

14−2  

14

​

​

)

6 Simplify  \frac{7+\sqrt{14}}{7}  

7

7+  

14

​

​

  to  1+\frac{\sqrt{14}}{7}1+  

7

14

​

​

.

7(x-(1+\frac{\sqrt{14}}{7}))(x-\frac{14-2\sqrt{14}}{14})

7(x−(1+  

7

14

​

​

))(x−  

14

14−2  

14

​

​

)

7 Remove parentheses.

7(x-1-\frac{\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})

7(x−1−  

7

14

​

​

)(x−  

14

14−2  

14

​

​

)

8 Factor out the common term 22.

7(x-1-\frac{\sqrt{14}}{7})(x-\frac{2(7-\sqrt{14})}{14})

7(x−1−  

7

14

​

​

)(x−  

14

2(7−  

14

​

)

​

)

9 Simplify  \frac{2(7-\sqrt{14})}{14}  

14

2(7−  

14

​

)

​

  to  \frac{7-\sqrt{14}}{7}  

7

7−  

14

​

​

.

7(x-1-\frac{\sqrt{14}}{7})(x-\frac{7-\sqrt{14}}{7})

7(x−1−  

7

14

​

​

)(x−  

7

7−  

14

​

​

)

10 Simplify  \frac{7-\sqrt{14}}{7}  

7 7−  14  to  1-\frac{\sqrt{14}}{7}1−  7 14

7(x-1-\frac{\sqrt{14}}{7})(x-(1-\frac{\sqrt{14}}{7}))

7(x−1−  7 /14 )(x−(1−  7 14 )) 11 Remove parentheses.

7(x-1-\frac{\sqrt{14}}{7})(x-1+\frac{\sqrt{14}}{7})

7(x−1−  7/ 14 .7(x−1+ 7 14 )

Answer:

x = -4

y = -4

Step-by-step explanation:

L1     x - 5y = 16

L2  4x - 2y = -8

4*L1 - L2

4x - 20y = 64

-4x + 2y  =    8

-----------------------

      -18y = 72

          y = 72 / -18

          y = -4

x - 5y = 16

x = 16 + 5y

x = 16 + 5(-4)

x = 16 - 20

x = -4

Answers;

Question 1 answer: The first and last option.

Question 1 explanation: 2(4x + 2) is 4x = 12 = 2 = 14 x 2 = 28 and 8x + 4 is 8 x 4 = 32 + 4 = 36 which is 8 more than 28 then, 3x = 9 + 2 + 3 x 2 = 28.

2(4x + 2) = 28 and 8x + 4 equals 36 which is 8 more and they're both equivalent to 2(3x + 2 + x) because 2(3x = 2 = x) equals 28.

Answer:

2

Step-by-step explanation:

Write that down before Katie deletes it. There is no work to show, only read the graph.

Answer:

20

Step-by-step explanation:

5 x 4 = 20

Answer: 20 slices of pizza

Step-by-step explanation:

you multiply 5 times 4

Answer:

1 Tenths = 10 Hundredths

10.74 - 10.60 = 0.14

0.14 = 14 hundredths

Thus, you need 10 ones, 6 tenths and 14 hundredths to make 10.74.

- 2x + 4 = 14

- 2x = 14 - 4

- 2x = 10

x = 10 / - 2

#FromIndonesia

Answer:

Step-by-step explanation:

1. Pythagorean theorem: a^2+b^2=c^2

Note that the hypotenuse is 11 (for the second right triangle).

Find the length of the dotted line by doing 7^2+b^2=11^2

49+b^2=121, b=[tex]\sqrt{72\\}[/tex].

Now you can the area of the second right triangle: ([tex]\sqrt{72\\}[/tex](7))/2=29.7.

Find the length of the first right triangle:

Note that 9 is the hypotenuse; ([tex]\sqrt{72\\}[/tex])^2+b^2=9^2

=72+b^2=81

b=3.

([tex]\sqrt{72}[/tex])(3))/2=12.7

Answer:

Step-by-step explanation:

You have 2 sides given in a right triangle. You can make an equation that will solve for x. In fact the tangent will do. There's no need to solve for the third side.

Tan(x) = opposite / adjacent

opposite = 39

adjacent = 76

Tan(x) = 39/76

Tan(x) = 0.5132

When finding an angle, you need to use the inverse tan.

x = tan-1(0.5132)    Use 2nd function tan(x)

x = 27.16 degrees.

Step-by-step explanation:

first we need the length of the Hypotenuse (UW).

Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

UW² = 76² + 39² = 5,776 + 1,521 = 7,297

UW = sqrt(7297) = 85.42247948...

now we get x from the law of sine :

sinA/a = sinB/b = sinC/c

with the angles always being opposite of the sides.

so, we have

sin(x)/39 = sin(90)/sqrt(7297) = 1/sqrt(7297)

sin(x) = 39/sqrt(7297) = 0.456554296...

x = 27.16498506...° ≈ 27.2°

we could have done it without the Hypotenuse first.

as the angle W is 90-x

sin(x)/39 = sin(90-x)/76 = cos(x)/76

sin(x)/cos(x) = 39/76 = tan(x) = 0.513157895...

x = 27.16498506...° ≈ 27.2°

as expected, it is precisely the same result.

Answer:

Well your Hypotenuse is 10 and your other angle is 8 so it is most likely 6 because you see a change in 2 each time and it is about 2 units smaller because all right triangles follow a pattern

Step-by-step explanation:

if it was too go even higher it would go to 12,14,16 etcetera

Answer:

1. The cost of the fencing material for each side of the playground.

2. The perimeter of the park

3. The labor fee

4. The cost of the fencing material for the whole park.

Step-by-step explanation:

Hope this helps! :)

Answer:

C

Step-by-step explanation:

1 foot = 12 inches                          Find 1/4 foot in inches

1/4 a foot = 1/4 * 12 = 3 inches

6 1/4 feet = (6 + 1/4) * 12

=72 + 3

75 inches

Answer:

changes over time

Step-by-step explanation: its going up not staying at one spot

Answer:

39.55

Step-by-step explanation:

24.99+15=39.55

That is how you get your answer :)

Answer:

1.89

Step-by-step explanation:

.15 x 24.55=1.89

Answer:

1. of, applicable to, or referring to all the members of a genus, class, group, or kind; general

Step-by-step explanation:

Answer:

corresponding segments

Step-by-step explanation:

BK = KB'

AJ - JA'

CL = LC'

Answer:

(fog)(x) = 2sqrt(x) + 3

Domain: {x | x ∈ R, x>=0}

Step-by-step explanation:

(fog)(x) = f(g(x))

let f(a) = f(g(x))

f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3

To find domain, pick most restricting domain of the functions that make up the compound function.

Answer:

(-5n)-2=26-2n

Step-by-step explanation:

i think -9 1/3

well, let's say that number is "a", so it's opposite will just be "-a".

what's that number times -5?

-5*a => -5a

let's reduce that by 2

-5a -2

what would it be twice the opposite of it?

2(-a)

what is it 26 less than that?

2(-a) - 26.

[tex]-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}[/tex]

Answer:

the answer is given in the photo below

Answer:

$1650 is the answer hope it helps