The perimeter of this triangular plot of land can be represented by the expression 3x2 + 10x + 20.

6x + 11

2x2 + 9

Write a polynomial that represents the measure of the third side of the plot of land.

Given:

The figure of triangle GHI and a circle M inscribed in the triangle.

To find:

The perimeter of the triangle.

Solution:

We know that the lengths of the tangent on a circle from same exterior point are always equal.

[tex]JH=HK[/tex]             (Tangent from point H)

[tex]6x-11=2x+9[/tex]

[tex]6x-2x=11+9[/tex]

[tex]4x=20[/tex]

Divide both sides by 4.

[tex]x=\dfrac{20}{4}[/tex]

[tex]x=5[/tex]

Now,

[tex]JH=6x-11[/tex]

[tex]JH=6(5)-11[/tex]

[tex]JH=30-11[/tex]

[tex]JH=19[/tex]

In the same way,

[tex]GJ=GL[/tex]             (Tangent from point H)

[tex]IK=IL[/tex]             (Tangent from point H)

From the figure, it is clear that,

[tex]IL=GI-GL[/tex]

[tex]IL=40-GJ[/tex]

[tex]IL=40-23[/tex]

[tex]IL=17[/tex]

The perimeter of the triangle GHI is:

[tex]Perimeter=GH+HI+GI[/tex]

[tex]Perimeter=(GJ+HJ)+(HK+IK)+(GL+IL)[/tex]

[tex]Perimeter=(23+19)+(19+17)+(23+17)[/tex]

[tex]Perimeter=118[/tex]

Therefore, the perimeter of the triangle GHI is 118 units.

Answer:

A is >

B is >

C is =

I hope this helps you.

Answer:

I believe that X=10 .

Step-by-step explanation:

Good luck ^^

Answer:

See Explanation

Step-by-step explanation:

Require

All complementary angles

The image is blur and the texts are unreadable. However, the following explanation will assist you

To determine a pair of complementary angles, then both angles must add up to 90.

For instance: 50 and 40; 72 and 18, 10 and 80 etc.

So, all you need to do is select all pairs of angles that add up to 90 in the given image.

Take for instance:

[tex]\angle ABC = 50[/tex] and [tex]\angle BDE = 40[/tex] -- assumed values

This means that, you will select [tex]\angle ABC\ \&\ \angle BDE[/tex] as a pair

Answer:

D) 1078

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

just do 500-423

Answer:

Substituting 4 for x:

ƒ(4) = 3(4 - 5)

ƒ(4) = -3

So, ƒ(4) = -3

Hopefully you understand now!

Answer:

Whats the question to this problem? Do you want to know if it's correct?

i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!

Step-by-step explanation:

Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!

Answer:

i2 - 9

-85

Step-by-step explanation:

Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85

Taking their product

(2i+9)(2i-9)

Expand

2i(2i)-9(2i)+9(2i)+9(-9)

=  4i²-18-+18i-81

= 4i² - 81

Since i² = -1

= 4(-1) - 81

= -4-81

= -85

Hence the product will give -85

Answer:

6

Step-by-step explanation:

i am not sure but i think its right sorry if you get it wrong

Answer:

4 1/12

Step-by-step explanation:

make all the denominators 12 so u can add them easier

2 1/12 + 2 4/12 + 3 2/12 = 7 7/12

nn subtract from the 11 2/3

11 8/12 - 7 7/12 = 4 1/12

Answer:

4b - 5

is the answer

Answer:

Step-by-step explanation:

sin 60=CB/18

[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]

The answer is letter H

Answer:

0.0475

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In a large company, the proportion of employees who were promoted during the last year was 0.10.

This means that [tex]p = 0.1[/tex]

100 employees

This means that [tex]n = 100[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]

What is the probability that at least 15 of them were promoted during the last year?

This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15 - 10}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a pvalue of 0.9525

1 - 0.9525 = 0.0475.

0.0475 is the answer.

Answer:

12%

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Answer:

5

6

Step-by-step explanation:

To solve, collect like terms

x ≥ 2 + 21/2

x ≥ 4 1/2

the whole number that would be greater than 41/2 would be 5

2.  2.7 + 3.3  > x

6 > x

Answer:

The answer is A .

Step-by-step explanation:

Good luck ;)

Answer:

As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

Option 1:

Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X

79 + 62H + 15H = X

Option 2:

Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X

79 + ((62 + 15) x H) = X

Answer: 128

Step-by-step explanation:

day 1: 1

day 2: 2

day 3: 4

day 4: 8

day 5: 16

day 6: 32

day 7: 64

day 8: 128

ALSO.

you can solve it by doing 2 to the power of 8

2^8 is the expression

Answer:

69

Step-by-step explanation:

both edges equal 90 degrees

90 plus 90 plus 111 =291

360-291

Answer:2x-6

Step-by-step explanation:

simplify the expression

2x-6

Answer:

2x - 6

Step-by-step explanation:

(x − 3)2

2 · x = 2x

2 · (-3) = -6

Combined:

2x - 6

Answer:

36

Step-by-step explanation:

since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.

C correlates to R.

B to Q.

A to P.

therefore,

CB correlates to RQ.

84 / 18 = 14 / 3

so, the scaling factor from ABC to PQR is

3/14

AB to PQ must have the same scaling factor :

168 × 3/14 = 12 × 3 = 36

which is also (of course) confirming the ratio of leg to baseline of the original triangle :

AB : CB = 168 : 84 = 2 : 1

and now

PQ : RQ = 36 : 18 = 2 : 1

Answer:

x = 7

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following equation:

21/(3x - 12) = 14/6

21/(3x - 12) = 7/3

Cross multiply

(3x - 12)*7 = 3*21

21x - 84 = 63

21x - 84 + 84 = 63 + 84

21x = 147

21x/21 = 147/21

x = 7

Answer:

450ft

Step-by-step explanation:

In the picture

Hi there!

[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]

[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]

Begin by recalling that:

sin(θ) = O/H,  so:

Opposite side = 3√5

Hypotenuse = 7

We can solve for the adjacent sign using the Pythagorean Theorem:

7² = (3√5)² + b²

49 = 45 + b²

b² = 4

b = 2.

Thus, cosθ = 2/ 7

Use the half angle identity to solve for cos(θ/2):

cos(θ/2) = √(1 + cosθ)

Plug in the value of cosθ:

= √(1 + 2/7) = √9/7, or 3 /√7

Thus:

[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]

Calculate tan(θ/2) using the same process but with a different formula:

tan(θ/2) = √(1 - cosθ / 1 + cosθ)

Substitute in the value of cosθ:

tan(θ/2) = √(1 - 2/7)/(1 + 2/7)

= √(5/7)/(9/7) = √5/9 = √5/3

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents.        (4.62$)

Step-by-step explanation: