Write the fifteenth term of the binomial expansion of (a^2+b)^20

x+x−22=180

2x=202

x=101

101−22=

79

Answer:

D. 30 cm

Step-by-step explanation:

10 + 7 + 7 + 6 = 30

Answer:

1. ∠1 and ∠3. ∠1 and ∠2.

2. ∠6 and ∠5. ∠6 and ∠4

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex but do not overlap. The ones above are the pairs of adjacent angles that share a common vertex, but do not overlap.

Answer:

238/1250.

Step-by-step explanation:

Money in Alex's account after 16 years = [tex]\boxed{\bold{\color{plum}£4347.11}}[/tex]

Money invested by Alex = £3045

Percentage of compound interest per annum = 2.25%

We know that :

[tex]\tt \: \color{hotpink}A \color{plum} = P {(1 + \frac{r}{n} )}^{nt} [/tex]

In this case :

Principal = £3045

Rate = 2.25% = 0.0025

Number of times interest is compounded per year = 1

Time = 16 years

Which means :

Money Alex will have in the account after 16 years :

[tex] = \tt3045 ({1 + \frac{ 0.0025}{1} })^{16} [/tex]

[tex] \color{plum}= \tt £4347.11[/tex]

Therefore, the money in Alex's account after 16 years = £4347.11

Step-by-step explanation:

13.

Supplementary angles = 180º (theorem)

Set <ABD + <DBC = 180º

2x + (x+24) = 180º

add like terms = 3x+24=180

3x=156

x = 52

now plug in x for both angles

<ABD = 2(52) = 104

<DBC = 52+24 = 76

14.

complementary angles = 90º (theorem)

set <EFG + <GFH = 90º

y-32 + y = 90

2y - 32 = 90 : combine like terms

2y = 122

y = 61

now plug in y for both angles

<EFG = 61-32 = 29

<GFH = 61

15.

Vertical angles are equal to each other (theorem)

<PQR = <TRS

38 = 5w-7

45 = 5w

w = 9

plug into <TRS

<TRS = 5(9) - 7 = 38

(Also since you know that <PRQ is 38 and that the measure has to be the same for both angles, it can be assumed without algebra that <TRS would be 38º)

Hope this helps, for futher assistance please check out: http://linktr.ee/x.squared/

Answer:

Step-by-step explanation:

Pythagorean Theorem

(AB)² = 5.6² + 3.9² = 46.57

radius r = (√46.57)/2 cm

area = πr² = π46.57/4 ≈ 36.5759925 cm l²

Answer:

Step-by-step explanation:

Answer:

15/8 - 6/8= 9/8

Step-by-step explanation:

We get [tex]\frac{3}{4}[/tex] when we subtract [tex]\frac{4.5}{4}[/tex] from [tex]\frac{7.5}{4}[/tex].

Subtraction is a operation of taking the difference of two numbers.

According to the given question

We have a number line in which two numbers are indicated.

The one just after [tex]\frac{4}{4}[/tex] and the another one is after [tex]\frac{7}{4}[/tex].

So the number after [tex]\frac{4}{4}[/tex] is [tex]\frac{4.5}{4}[/tex] and the number after [tex]\frac{7}{4}[/tex] is [tex]\frac{7.5}{4}[/tex]

so, [tex]\frac{7.5}{4} -\frac{4.5}{4} =\frac{3}{4}[/tex]

Hence,  we get [tex]\frac{3}{4}[/tex] when we subtract [tex]\frac{4.5}{4}[/tex] from [tex]\frac{7.5}{4}[/tex].

Learn more about subtraction here:

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Answer:

Median: 14

Step-by-step explanation:

Rearrange:

8, 9, 9, 14, 16, 19, 20

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

❤+❤=2

Hope this helps =]

Answer:1/2 y

Step-by-step explanation:

We can solve this using ration reasoning:  

x

2

x

1

=

y

2

y

1

Explanation:

If  

x

varies directly with  

y

(written  

x

∝

y

), then doubling  

y

means doubling  

x

, so the rations of final values and initial values will be the same:

x

2

x

1

=

y

2

y

1

In this case,

x

2

9

=

24

18

x

2

=

9

⋅

24

18

=

12

Or, intuitively, if  

x

∝

y

and  

x

=

9

when  

y

=

18

, we can conclude that

x

=

1

2

y

and  

1

2

of 24 is 12.

Answer:

44 - 27 = 17

2hours 40min ---> 2 2/3

17 divided by 2 2/3 is equal to

i d k f a m i got 6.375 km/hour

Answer:

someone can help u

Step-by-step explanation:

stan kim namjoon for help

Answer:

I think it's a

Answer:

5+15a

Step-by-step explanation:

add like terms

8-3=5

10a+5a=15a

Answer:

[tex]\displaystyle \sin(2A)=\frac{-4\sqrt{21}}{25}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A)=\frac{2}{5}\text{ and } \tan(A)<0[/tex]

And we want to determine the value of:

[tex]\sin(2A)[/tex]

First, since cos(A) is positive and tan(A) is negative, this means that ∠A must be in QIV.

In QIV, cosine is positive, sine is negative, and tangent is also negative.

The given ratio tells us that the adjacent side to ∠A is 2, and the hypotenuse is 5.

Then by the Pythagorean Theorem, the opposite side will be given by:

[tex](2)^2+o^2=(5)^2[/tex]

Solve for the opposide side:

[tex]o=\sqrt{5^2-2^2}=\sqrt{21}[/tex]

So, with respect to ∠A, the adjacent side is 2, the opposite side is √(21), and the hypotenuse is 5.

Using the double-angle identity, we can rewrite our original expression as:

[tex]\sin(2A)=2\sin(A)\cos(A)[/tex]

Using the above information, substitute in values. Remember that cosine is positive and that sine is negative:

[tex]\displaystyle \sin(2A)=2\Big(-\frac{\sqrt{21}}{5}\Big)\Big(\frac{2}{5}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2A)=\frac{-4\sqrt{21}}{25}[/tex]

Answer:

sin 2A=2sin Acos A

=2×2/5×√21/5=±4√21/25

Step-by-step explanation:

cos A=2/5

B/H=2/5

corresponding value we get

B=2

H=5

by using Pythagoras law

H²=P²+B²

5²=P²+2²

P²=25-4

p=√21

now

sin A=P/H=√21/5

now

sin 2A=2sin Acos A=2×2/5×√21/5=±4√21/25

Answer:

-x + 10

Step-by-step explanation:

Remove the brackets

2*x - 2*4 - 3*x - 3* -6

2x - 8 - 3x + 18

-x + 10

Answer: n = 80 sorry if im wrong just give the other person the  Brainiliest

Step-by-step explanation:

have a nice day

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

Circumference = 2pi(radius)

C = 2(pi)(9.5)

C = 19pi

The answer is 19pi.

Let me know if this helps!

Answer:

The circumference is 59.6903

Step-by-step explanation:

In order to find the circumference, use the equation C=2πr

Radius is essentially half of the diameter, so 9.5 is our radius

C=2π(9.5)

C≈59.6903

Answer:

I(x)=P(x+5)−4

Step-by-step explanation:

I have the same question as you and I believe we are in the same class

is Mr. David Barr your teacher?

If so cool!

The option that has or contains two parabolas is  I(x)=P(x+5)−4. Learn more about the graph below.

A parabola graph is known to be a kind of graph that shoes a U-shaped curve that is often drawn for any given  quadratic function.

Note that in Mathematics, a parabola is said to be created as a result of the intersection of a right circular cone when passed by a plane surface and thus gives an symmetrical plane U-shaped curve.

Therefore, the The option that has or contains two parabolas is  I(x)=P(x+5)−4.

Learn more about parabola from

https://brainly.com/question/4148030

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Answer:

(x+1-i)(x+1+i)

Step-by-step explanation:

i did the diagnostic :)

Answer:

(x+1-i)(x+1+i)

Step-by-step explanation:

Answer:

180 degree angle is called straight angle

Answer:

A 180-degree angle is referred to as a straight angle.

Step-by-step explanation:

Answer:

y=-1x+2

Step-by-step explanation:

y=mx+b

the slope  is -1

the y-int  is 2

Answer:

h ≤ 11

Step-by-step explanation:

h - 16 ≤ -5

h ≤ 11

Interval notation:

h: (−∞,11]

Answer:

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

14-12=3y

2=3y

y=2/3

hope it helps

Answer:

68

Step-by-step explanation:

please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

your question is very important and you are not gonna get the right answer