(trigonometry) solve for x

Answer:

The area of the shaded polygon is 31 square units.

Step-by-step explanation:

The procedure to calculate the area of the shaded irregular polygon is described below:

1) Calculate the area of the initial rectangle.

2) Calculate the areas of the four triangles.

3) Subtract the areas of the four triangles from the initial triangle.

[tex]A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}[/tex]

[tex]A = 31[/tex]

The area of the shaded polygon is 31 square units.

Answer:

9:11

Step-by-step explanation:

subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is [tex]W = [a b c][/tex]

[tex]\therefore[/tex]

relation: [tex]WT =W[/tex]

[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]

solving the value:

[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]

Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]

For point b:

[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]

[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.

Answer:

x=28

Step-by-step explanation:

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

[tex]x = 0 \: \text{or} \: x = - 4.[/tex]

Step-by-step explanation:

[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]

A =?

P= 9456

r = 6% = 0.06

t = 5 yrs

Formula

A= P(1+r)^t

A= 9456×1.06⁵

A = 12646.23

the total amount that he had to pay was 12646 rs

Answer:

pointing towards the top

Step-by-step explanation:

1.5 feet long 2.5 feet wide the suitcase is so straight

HOPE OT HELPS

Answer:

2325

Step-by-step explanation:

Kkkkkkkkjajahaaj

Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{(x - 7) (x - 5)}[/tex]

[tex]\large\text{DISTRIBUTE each of the numbers}[/tex]

[tex]\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}[/tex]

[tex]\large\textsf{x(x) = \bf x}\bf ^2[/tex]

[tex]\large\textsf{x(-5) = \bf -5x}[/tex]

[tex]\large\textsf{-7(x) = \bf -7x}[/tex]

[tex]\large\textsf{(-7)(-5) = \bf 35}[/tex]

[tex]\mathsf{x^2 - 5x -7x + 35}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{x^2 -(5x - 7x) + 35}[/tex]

[tex]\mathsf{-5x -7x = \bf -12x}[/tex]

[tex]\mathsf{x^2 - 12x + 35}[/tex]

[tex]\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitirite1040:)}[/tex]

Answer:

Step-by-step explanation:

take angle x as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=11/13

sin x=0.846

x=sin 57.8

x=57.8 degree

Answer:

[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]

[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]

Answer:

[tex]y=-\frac{1}{3}x+-7[/tex]

Step-by-step explanation:

The graph shows a negative slope with 3 units in between each point.

Every 3 x-units, the y-unit goes up once.

Answer:

c

Step-by-step explanation:

Answer:

D, a sentence that includes only one independent clause

Step-by-step explanation:

A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.

This isn't a math question but idrc

Answer:

the population means are known the population variances are assumed equal but unknown

Step-by-step explanation:

If σ1= σ2  (= σ)  but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by

Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2

So first assumption is correct.

When the population variances are assumed unequal and unknown

If σ1 ≠ σ2    but unknown

we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.

S(x1`- x2`) = √s1²/ n1 + s2²/n2

So this is does not apply here.

Answer:

Height of parallelogram = 30 meter

Step-by-step explanation:

Given:

Area of parallelogram = 570 square meters

Find:

Height of parallelogram

Computation:

Base of parallelogram = 19 meter

Area of parallelogram = Base of parallelogram x Height of parallelogram

570 = 19 x Height of parallelogram

Height of parallelogram = 570 / 19

Height of parallelogram = 30 meter

Answer:

A = 7

Step-by-step explanation:

√50 = 7.07

approximating it will give you

= 7

Answer:

Around 140

Step-by-step explanation:

It's over 90 degree angle

Answer:

V = 267.95 cm^3

Dominic forgot to multiply by the approximation for pi

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

V = 4/3 ( 3.14) (4)^3

V = 267.946666666

Rounding to the nearest hundredth

V = 267.95 cm^3

If you do not multiply by the approximation for pi

V = 85.3333333pi cm^3

Dominic forgot to multiply by the approximation for pi

Answer:

18 inches

Step-by-step explanation:

Given

[tex]r = 15in[/tex] --- radius

[tex]h = 12in[/tex] --- distance between chord and the center of the circle

Required

The chord length

See attachment for illustration

First, calculate distance AX using Pythagoras theorem.

[tex]AO^2 = AX^2 + OX^2[/tex]

This gives:

[tex]15^2 = AX^2 + 12^2[/tex]

[tex]225 = AX^2 + 144[/tex]

Collect like terms

[tex]AX^2 = 225 - 144[/tex]

[tex]AX^2 = 81[/tex]

Take square roots of both sides

[tex]AX = 9[/tex]

AB is then calculated as:

[tex]AB= AX + XB[/tex]

Where:

[tex]AX=XB =9[/tex]

So:

[tex]AB = 9 + 9[/tex]

[tex]AB = 18[/tex]

Answer:

answer in photo

hope this helps :)

Step-by-step explanation:

Answer:

348  US and 294 Foreign

Step-by-step explanation:

642 - 54 = 588

588 /2= 294

294+54=348

Answer: [tex]10.8\ ft[/tex]

Step-by-step explanation:

Given

A model car is built with a scale of 1 inch: 4 feet

If the length of the model car is 2.7 inches

Suppose the length of the car is l

[tex]\therefore \dfrac{1}{4}=\dfrac{2.7}{l}\\\\\Rightarrow l=2.7\times 4\\\Rightarrow l=10.8\ ft[/tex]

Therefore, the length of the car is [tex]10.8\ ft[/tex]

The experimental probability of an even number other than 8 being generated is, 0.44

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Total number of numbers = 300

Number of even numbers = 154

Number of eight = 22

Hence, Number of even numbers other than 8 is,

154 - 22 = 132

Thus, Probability is,

= [number of even numbers other than eight] / [total number of numbers]

= 132/300

= 0.44

Thus, The experimental probability of an even number other than 8 being generated is, 0.44

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ7

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Explanation:

As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).

The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.

The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.

The total area is 200+875 = 1075 square feet

Notes:

Since these are right triangles, we can use Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

50^2 + 20^2 = c^2

2500 + 400 = c^2

2900 = c^2

c = sqrt[ 100 * 29]

c = 10 sqrt[29]

In the boxes, a = 10, b = 29.

Hope this helps!! :)

Answer:

The given triangle is right.

Step-by-step explanation:

The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:

[tex]a^2+b^2=c^2[/tex]

If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.

Substitute in the given values and solve to prove the triangle is right,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex](9.6)^2+(12.8)^2=(16)^2[/tex]

Simplify,

[tex]92.16+163.84=256[/tex]

[tex]256=256[/tex]

The given triangle is right since its sides follow the Pythagorean converse theorem.

Answer:

23.31 ft

Step-by-step explanation:

Tan y= opposite÷adjacent

tan 47= 25÷ x

tan 47 • x = 25

x= 25÷ tan 47

x= 23.31 ft

HOPE THIS HELPS!