Find the perimeter of the figure to the nearest hundredth. perimeter: about cm

Answer:

x = 35

Step-by-step explanation:

Complementary angles refers to a pair of angles which add up to make a 90° right angle.

Lets assume them as Angle A And Angle B.

Angles A = 40°

Angles B = x+15

Angle A + Angle B = 90°

40+15+x = 90°

x = 90 - 55

x = 35°

So, x = 35°

Answer:

B

Step-by-step explanation:

4x4= 8

10x10= 20

8+20= 28

5x2= 10

9x2= 18

10+18= 28

Answer:

[tex]4x + 10y = 28 \\ 5x + 9y = 28 \\ 10y = 28 - 4x \\ y = \frac{28 - 4x}{10} \\ y = 2.8 - 0.4x \\ 5x + 9(2.8 - 0.4x) = 28 \\ 25.2 - 3.6x + 5x = 28 \\ 1.4x = 2.8 \\ x = 2 \\ [/tex]

[tex]y = 2.8 - 0.4 \times 2 \\ y = 2[/tex]

B

Answer:

Step-by-step explanation:

y + 2 = -3(x - 1)

y + 2 = -3x + 3

y = -3x + 1

Answer:

  x = -3, 0, or 7

Step-by-step explanation:

After removing common factors, the remaining quadratic can be factored by comparison to the factored form of a quadratic.

__

Write the equation in standard form.

  4x³ -16x² -84x = 0

Factor out the common factor from all terms.

  = 4x(x² -4x -21) = 0

Compare to the factored form of a quadratic:

  (x +a)(x +b) = x² +(a+b)x +ab

This tells you the constants 'a' and 'b' in the factors can be found by considering ...

  (a+b) = -4 . . . . the coefficient of the x term of the quadratic

  ab = -21 . . . . . the constant term of the quadratic

It is often helpful to list factor pairs of the constant:

  -21 = (-21)(1) = (-7)(3) . . . . integer pairs that have a negative sum

The sums of these pairs are -20 and -4. We are interested in the latter. We can choose ...

  a = -7, b = 3

Put it all together.

  4x³ -16x² -84 = (4x)(x -7)(x +3) = 0 . . . . . factored form of the equation

Apply the zero product rule. This rule tells you the product of factors will be zero when one or more of the factors is zero:

  4x = 0   ⇒   x = 0

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

Solutions to the equation are x ∈ {-3, 0, 7}.

_____

Additional comment

What we did in Step 3 is sometimes referred to as the X-method of factoring a quadratic. The constant (ab product) is put at the top of the X, and the sum (a+b) is put at the bottom. The sides of the X are filled in with values that match the product and sum: -7 and 3. The method is modified slightly if the coefficient of x² is not 1.

A graphing calculator often provides a quick and easy method of finding the real zeros of a polynomial.

Answer:

third angle: 50°

The interior angles of a triangle sum ups to 180°.

Here given two angles: 95°, 35°, x - Let the missing angle be x

When they sum up, they equal to 180:

x + 35 + 95 = 180

x + 130 = 180

x = 180 - 130

x = 50

Given two angles are 35° and 95°

Let the unknown angle be "x"

We know that sum of angles of a triangle is 180°

Therefore,

[tex]\sf{35°+95° + x = 180°}[/tex]

[tex]\sf{130° + x = 180°}[/tex]

[tex]\sf{x = 180°-130°}[/tex]

[tex]\sf{x = 50°}[/tex]

Hence, the missing angle is 50°.

Answer:

45.141 or if you round 45.14

Step-by-step explanation:

150.47 x 0.30 = 45.141

Answer:

2(3x+4)

Step-by-step explanation:

Since the 2 is outside of the parenthesis, it means that everything inside of the parenthesis is multiplied by 2

2 x 3x = 6x

2 x 4 = 8

There is a + between 3x and 4, which means that, when simplified, 2(3x +4) = 6x + 8

Option 2(3x + 4 ) is correct.

Step-by-step explanation:

=> 2 ( 3x + 4 ) = 6x + 4 .

Answer: 2

Step-by-step explanation:

See attached image

Answer:

1.75

Step-by-step explanation:

Finding average rate of change :

The average rate of change for P between 1992 and 2000 is -1.025.

The average rate at which one quantity changes in relation to another is known as the average rate of change function.

It can be determined by dividing the amount of one quantity's change by the amount of another quantity's change.

Average rate of change for a function 'f' in the interval [a, b] is,

A = f(b) - f(a) / (b-a)

So, the Average rate of change

= P(2000) - P(1992) / (2000 - 1992)

= (34.5 - 42.7) /(2000 - 1992)

= -8.2 / 8

= -1.025

learn more on Average rate of change here:

brainly.com/question/28744270

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Answer:[tex]5.25cm^2[/tex]

Step-by-step explanation:

The equation of finding the area of a triangle is 1/2 base x height so the base is 7 and the height is 1.5. The slant of the triangle doesn't change the area and those measurements are just there to confuse you. so just input the measurements to get:

1/2 x 7 x 1.5 = 3.5 x 1.5 = 5.25cm^2

The area = [tex]5.25 cm^2[/tex]

Answer:

1728 units^3

Step-by-step explanation:

The volume of a cube is given by the formula: a^3, where a is edge length.

a^3

(12)^3

1728

Answer:

See below

Step-by-step explanation:

Standard form of  h,k centered circle

(x-h)^2 + (y-k)^2 = r^2

for this circle center, h,k = 2,-13    radius = sqrt (150)= 5 sqrt 6

Answer:

Center: (2,-13)

Radius: 12.14744871

Step-by-step explanation:

Answer:

D) 471, 473, 475, 477, 479

Step-by-step explanation:

Lets say the three-digit number is ABC.

4 in the hundreds place, thus A = 4

7 in the tens place, thus B = 7.

The number is odd, therefore C = {1, 3, 5, 7, 9}

There are five possible solutions for three-digit number ABC = {471, 473, 475, 477, 479}

Answer:

Your answer is in the picture.

Step-by-step explanation:

Visit the website if you want to factor polynomial.

Answer:

HI = 35

GK = 45

JK = 25

Provided:

Given proportional sides:

Find the scale factor:

Find missing sides:

1) HI = ZV × 5/6 = 42 × 5/6 = 35

2) GK = XY × 5/6 = 54 × 5/6 = 45

3) JK = WX × 5/6 = 30 × 5/6 = 25

Answer:

HI = 35

GK = 45

JK = 25

Step-by-step explanation:

If VWXYZ ~ IJKGH

Then:

YZ and GH is the only pair of corresponding sides for which we have been given the lengths:

YZ = 36  and GH = 30

Therefore,

VWXYZ : IJKGH = 36 : 30 = 6 : 5

Find HI

  ZV : HI = 6 : 5

⇒ 42 : HI = 6 : 5

⇒ 42/HI = 6/5

⇒ 42 · 5 = 6 HI

⇒ HI = 210/6

⇒ HI = 35

Find GK

   YX : GK = 6 : 5

⇒ 54 : GK = 6 : 5

⇒ 54/GK = 6/5

⇒ 54 · 5 = 6 GK

⇒ GK = 270/6

⇒ GK = 45

Find JK

   WX : JK = 6 : 5

⇒ 30 : JK = 6 : 5

⇒ 30 /JK = 6/5

⇒ 30 · 5 = 6 JK

⇒ JK = 150/6

⇒ JK = 25

Answer:

two solutions B

Step-by-step explanation:

x-3y=4

-2x+6y=3

Answer:

radius = 40 / 2 = 20ft

Circle area = πr² = π × 20² = 1256.6 sq. ft

Answer:

[tex]p =[/tex] [tex]7\sqrt{2}[/tex]

Step-by-step explanation:

The side length ratio for a 45-45-90 angle triangle is [tex]1:1:\sqrt{2}[/tex]

The length of the bottom adjacent side of the 90-degree angle is 7, so p would be [tex]7\sqrt{2}[/tex]

Answer:

Using the binomial distribution, it is found that

P(X > 3) = 0.0256

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]C_{n, x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n, x} = \frac{n!}{p!(n - x)!}[/tex]

P(X > 3) = P(X = 4)                         since it above next whole number above 3

In which

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]P(X = 4) = C_{4, 4} * (0.4)^{4} (1 - 0.4)^{4 - 4}\\C_{4, 4} = \frac{4!}{4!(4 - 4)!}\\\\P(X = 4) = \frac{4!}{4!(0)!} * (0.4)^{4} (0.6)^{0}\\[/tex]

Then

P(X > 3) = P(X = 4)

P(X > 3) = 0.0256

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

Given, n = 4, p = 0.4

press 2nd - DISTR

scroll down to A: binompdf( - press enter

type in # of trials (n), P: (probability), and x value (successes)

press enter on Paste

press enter again

BINOMDIST(num_successes, num_trials, prob_success, cumulative)

=BINOMDIST(4, 4, 0.4, FALSE

A similar problem is given at brainly.com/question/15557838

I have also attached notes on The Binomial Distribution below

Let me know if you have any questions !

Hope this helps :)

Answer:

Domain: [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex]

Range: [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex]

Step-by-step explanation:

Factor the numerator and denominator

[tex]\displaystyle f(x)=\frac{x-6}{x^2-3x-18}\\ \\f(x)=\frac{x-6}{(x-6)(x+3)}\\\\f(x)=\frac{1}{x+3}[/tex]

Because the factor [tex]x-6[/tex] exists in both the numerator and denominator, then there is a hole at [tex]x=6[/tex] because the function is not continuous there. Additionally, because the denominator cannot be 0, [tex]x\neq-3[/tex], and there will be a vertical asymptote at the line [tex]x=-3[/tex].

Thus, the domain of the function is [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex].

Also, notice that because [tex]x\neq6[/tex], as the function gets closer to [tex]x=6[/tex], the function gets closer to [tex]\displaystyle f(6)=\frac{1}{6+3}=\frac{1}{9}[/tex], so [tex]\displaystyle y=\frac{1}{9}[/tex] is not included in the range.

Thus, the range is [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex].

Answer:

43.1

Step-by-step explanation:

1728/40 = 43.2

3120/72 = 43.3

Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypotheses, it is tested if the mean is of 57.7, that is:

[tex]H_0: \mu = 57.7[/tex]

At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:

[tex]H_a: \mu \neq 57.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]

t = 4.17.

We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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Step-by-step explanation:

1km=1000m

2km=2×1000m

2km=2000m

Answer:

it would be 75% :))

Answer:

75% of 80 = 60

Step-by-step explanation:

60/80 x 100

= 6/8

= 3/4

=75% of 100!

And that's how you find out the percentage.

Answer:

6202.73 cubic centimeters

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

Volume:

insert values

simplify

Answer:

180 in^2

Step-by-step explanation:

S=(1/2)lP + B

B = 10x10 = 100

P = 10(4) = 40

l is 4, but you could also use the fact that each triangular side is A=(1/2)bh.

(1/2)4 x 10 = 20

20(4) = 80

add 100 + 80 = 180

Answer:

2x-15

Step-by-step explanation:

Found it on a Phrase translator to equations.