The area of a rectangle is 102 cm, if it's breadth is 6 cm find the length.

Need it ASAP

Answer:

Proof below

Step-by-step explanation:

Irrational and Rational Numbers

We need to use the basic property of logarithms:

[tex]log_b\ a=x\ \ \Rightarrow b^x=a[/tex]

We are given:

[tex]log_3\ 7[/tex]

And we will prove it's an irrational number, i.e., it's not a rational number.

Recall a rational number can always be expressed as a fraction a/b, where a and b are integer numbers. Thus, if the expression was a rational number, then:

[tex]\displaystyle log_3\ 7=\frac{a}{b}[/tex]

Applying the property:

[tex]\displaystyle 3^{\frac{a}{b}}=7[/tex]

Raising to the power of b:

[tex]3^a=7^b[/tex]

It's not possible to find two integers a and b that satisfy the condition above. That contradiction comes from the assumption that [tex]log_3\ 7[/tex] is rational, thus, it's proven [tex]log_3\ 7[/tex] is irrational.

Answer:

SSS (Side Side Side)

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

SAS (Side-Angle-Side)

A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.

Answer:

CI  = ( 36,6  ;  41,4 )

Step-by-step explanation:

CI = 99,9  %       α = 0,1 %      α = 0,001

We find z scre for α = 0,001 in z -table

z(s) = - 3,08

CI =  μ₀  ±  MOE          where    μ₀  = 39 min  and   MOE = z(s) * σ/√n

CI = 39  ±   3,08 * 4,8 / √37

CI = 39  ±   2,4315

CI  = ( 36,6  ;  41,4 )

Answer:

2.16

Step-by-step explanation:

8 2/3 / 4 or 8.166/4

= 2.16 (don't round up because they all have to be equal)

Answer:

[tex]\boxed{f(n) = 4n + 16 }[/tex]

.

Step-by-step explanation:

We know that it is arithmatic squence

with a = 20 and b = 4

.

So

[tex]Un = a + (n - 1)b[/tex]

[tex]Un = 20 + (n - 1)4[/tex]

[tex]Un = 20 + 4n - 4[/tex]

[tex]Un = 4n + 16[/tex]

.

Happy to help :)

Answer:

x = 75

Step-by-step explanation:

1. Find the inner angle (opposite from where x is), using the outer angle of 150.

Note: these two angles are supplementary, meaning that they add up to 180 degrees.

Since the outer angle is 150, the inner angle is 30 degrees because 150+30 = 180.

2. Find the other two angles to get x.

The red markings on the two sides of the triangle indicate that this is an isocoleses triangle. Isocoleses triangles have two congruent angles. This means that the remaining two angles will be the same.

With that in mind, recall what I said about the angles being supplementary. All angles in a triangle add up to 180. So, use the following equation and solve for x.

2x + 30 = 180 (Subtract 30 from both sides)

2x = 150 (divide by 2)

x = 75

3. x = 75

Answer:

X = 65 degrees

Step-by-step explanation:

180 - 150 = 30 the angle beside the 150 degrees

180 - 30 = 130    180 degrees is the sum of all three angles in a triangle

130/2 = 65    since both sides are equal the other 2 angles are the same

Answer:

I'm in the 8th grade and I could probably help you out

Step-by-step explanation:

Answer:

8 and 8

Step-by-step explanation:

8+8 = 16

8*8=64

The total percentage increase in the investor's stock account is 14.5%.

The percentage refers to the portion or ratio of a variable concerning another.

Like ratios, percentages are stated with the percentage sign (%).  We also use percentages to show proportions.

For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.

Whereas the dollar increase is $772, in percentage terms, it is 14.5%.

                               Company A       Company B       Total

Investments                $2,220             $3,100           $5,320

Increase in value          25%                   7%

Dollar increase             $555                $217               $772

Total percentage increase = 14.51 % ($772/$5,320 x 100)

Thus, the total percentage increase in the investor's stock account is 14.5%.

Learn more about percentages at brainly.com/answer expert verified

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Answer:

hi im zachary Grace im a male please wait while i type your awsner ;) So, m = 180 - 110 or 70°. interior angles, so they have the same measure so i think its A or B i tried hope this helps

Answer:

choice b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. is 10

4. is 6

6. is $3.19

7. is $6

Answer:

(a) Only A and B

Answer:

it is the repition image of something, how its made, i dont know the last one.

Step-by-step explanation:

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

Answer:

A

Step-by-step explanation:

edge

Answer:

7:45 AM I believe:)

Step-by-step explanation:

Answer:hehdjjdjfhrjrg

Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr

Answer:

Double root / x = -3

Step-by-step explanation:

Answer:

The number is 6.

Step-by-step explanation:

Let the number be x then,

By the question,

2/3 * x + 10 = 14

2x / 3 = 14 - 10

2x / 3 = 4

Cross multiply ✖

2x = 12

x = 12/2

x = 6

Hope it helps. :)

Answer:

32 ounces

Step-by-step explanation:

[tex]M_{1} v_1=M_2v_2\\(0.10)80=(0.25)x\\(1/0.25) (0.10)80=(0.25)x(1 /0.25)\\\frac{(0.10)80}{0.25} =32 ounces[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

She has 80% of the total amount she had before she sold any. Can't solve any further for you, unless you provide me the number sold or the amount she had before she sold them.

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Since y = (x + 3)(x + 3), the root is x = -3.

Only Graph A touches the x-axis once.

Answer:

C. 6.06

Step-by-step explanation:

173/1000=.173

.173*35== 6.06

Answer:

x = 59

Step-by-step explanation:

180 = 73 + x + (x-11)

180 - 73 + 11 = 2x

118 = 2x

x = 118/2

x = 59

Answer:

the answer is 18.

Step-by-step explanation:

Answer:

a)  P(exactly two defectives) = 0.2734

b) N [tex]\simeq[/tex] 55

Step-by-step explanation:

From the given information:

P(exactly two defectives) = P(X =2) = [tex]^{100}C_2 \times ( 0.02)^2 \times(1-0.02)^{100-2}[/tex]

[tex]= \dfrac{100!}{2!(100-2)!} \times ( 0.02)^2 \times(0.98)^{98}[/tex]

[tex]= 4950 \times 4 \times 10^{-4} \times 0.1380878341[/tex]

= 0.2734

Thus, P(exactly two defectives) = 0.2734

b)

To find:

P(X ≥ 1 )

let X be the random variable that obeys a binomial distribution, X represents the number of defectives,

∴

[tex]X \sim B ( N, 0.02)[/tex]

[tex]P(X \ge 1 ) = 1 - P(X < 1) \\ \\ P(X \ge 1 ) = 1 - P(X = 0)[/tex]

[tex]0.6676 = 1 - ^NC_0 \times (0.02)^0 (0.98)^N[/tex]

[tex]0.6676 = 1 - (0.98)^N[/tex]

[tex](0.98)^N = 1 - 0.6676[/tex]

[tex](0.98)^N = 0.3324[/tex]

N log (0.98) = log (0.3324)

[tex]N = \dfrac{log \ 0.3324}{log \ 0.98}[/tex]

N = 54.51824841

N [tex]\simeq[/tex] 55

Answer:

120

Step-by-step explanation:

entree has 6 letters so 6! in numerator and e repeated 3 times so 3! in denominator.