BC = 17.89
DC = 16
with reference to the figure sin x=?
a.0.250
b. 0.447
c.0.894
d. 1

BC = 17.89DC = 16with Reference To The Figure Sin X=?a.0.250b. 0.447c.0.894d. 1

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The value of sin x in the given right triangle is 0.894.

What sine of an angle?

The sine of an angle is a trigonometric function that is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

Given is right triangle ABC, we need to find the value of sin x,

So, we see that the figure is divided into three similar triangles,

Namely,

Δ CDB ~ Δ BDA ~ Δ CBA,

Therefore, according to the definition of similarity,

We have,

CD / CB = BD / BA = 16/17.89

Therefore, BD / BA = 0.894

Also,

sin x = BD / BA

Therefore,

sin x = 0.894

Hence the value of sin x in the given right triangle is 0.894.

Learn more about sine of an angle, click;

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Related Questions

need answer quick plz!!

Answers

Answer:

Its B

Step-by-step explanation:

1^3 is 1

Answer:

The mistake is in part 2.

Step-by-step explanation:

2(1)^3 is 2(1) because 1*1*1 still =1. She was multiplying 1 by 3.

1,615 / 10 the the power of 2

Answers

Answer: 1,615/10^2 = 16.15

what number completes the sequence below? enter your answer below
9→ 14
12→17
15→20
18→?

Answers

Answer:

18 + 5 = 23

Step-by-step explanation:

Answer
23
Because each other one is adding 5

Can someone help me thank you

Answers

Answer:

A)The function is negative when x is less than 0

Step-by-step explanation:

2/5x + 4 = 1/4x. Find x

Answers

Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x =  − 80 /3

Decimal Form:

x = −  26.  ¯

            6

Mixed Number Form:

x = − 26  2

          ----

           3

Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or closed circle and what direction the number
line is shaded in. You can upload a picture of your work and explanation instead of
typing if you prefer,
-27
12 (67– 12) or 315 – ) < 24

Answers

Step-by-step explanation:

The given inequality is :

[tex]-27\ge \dfrac{1}{2}(6x-12)[/tex]

Solving RHS of the inequality:

[tex]-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)[/tex]

Adding 6 both sides of the inequality

[tex]-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7[/tex]

The attached figure shows the graph for the given inequality.

A rectangle is 1 cm more than twice its width. Find the dimensions of the rectangle if it’s area is 45cm.

Answers

Answer:

10*4.5

length=10cm, width=4.5cm

Hint: 2b^2+b-45=0

I hope it will be useful.

2)
1.) 3x+3y 6
2x+2y=4​

Answers

Answer:

y este egal cu 1

x este egal cu un

Step-by-step explanation:

2 plus 2 egal cu patru( adica 2 ori unu plus 2 ori 1)

La fel si la cea cu 3.

Sper că te am ajutat!!!

Therefore,

X=0

Y=2

,,,The solution is above in the picture

Chapter 1: Quadrati
END-OF-CHAPTER REVIEW EXERCISE 1
1
A curve has equation y = 2xy+ 5 and a line has equation 2x + 5y = 1.
The curve and the line intersect at the points A and B. Find the coordinates of the midpoint
of the line AB​

Answers

Answer:

mid point of AB (0.5 , 0)

Step-by-step explanation:

2x + 5y = 1      2x = 1 - 5y

y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5

y-y = y - 5y² + 5 - y = - 5y² + 5

0 = - 5y² + 5

5y² = 5

y² = 1

y = 1 or y = -1

if y = 1       x = 1/2 (1 - 5) = -2   .... point A (-2 , 1)

if y = -1      x = 1/2 (1 + 5) = 3   ..... point B (3 , -1)

mid point of AB (x' , y') :  x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2

                                        y' =  1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0    

A right triangle, JKL, is given with KJL = 30° and JKL = 90°. KM is drawn such that L, K, and M are collinear. points J and M are joined by JM with JM = JL. Find JML and explain your answer.
A- 30°
B-90°
C-180°
D-60°

Answers

Answer:

I tried but soory I can't understand

Answer:

D-60°

Step-by-step explanation:

K,L,M is collinear and JM=JL

M can only be extend to the left of K, otherwise it will overlap with L

JM = JL     ΔJML is isosceles triangle    ∠JML ≅ ∠JLM

∠JLM = 90 - ∠KJL = 90 - 30 = 60

∠JML = 60°

Do sb know da answerrrrr ?

Answers

Answer:

If I’m not wrong I think it’s the first one

Step-by-step explanation:

Explain why the solution of 5x – 3 > 14.5 or 5 x minus 3 greater than 14.5 or StartFraction 2 x plus 5 over 3 EndFraction less than 4. < 4 has a solution of all real numbers, with one exception.

Answers

Answer:

There is no point where x = 3.5

Step-by-step explanation:

Given the inequality

5x – 3 > 14.5

We are to find the range of all values of x

Add 3 to both sides of the equation;

5x - 3 + 3 > 14.5+ 3

5x > 17.5

x > 17.5/5

x > 3.5

Also for the inequality;

[tex]\frac{2x+5}{3} <4\\[/tex]

Cross multiply;

[tex]2x+5 < 3(4)\\2x + 5 < 12\\[/tex]

Subtract from both sides;

[tex]2x + 5-5 < 12-5\\2x < 7\\x<7/2\\x<3.5[/tex]

The solution to both inequalities are x > 3.5 and x < 3.5. Since there is no point where x = 3.5, hence the solution will have solution on all real numbers except at x = 3.5

Answer:

When solving the first inequality, you get x > 3.5. When solving the second inequality, you get x < 3.5. The solution of an "or” compound in equality is everything in both solution sets, so the solution set is all of the numbers less than 3.5 and greater than 3.5. Since neither of the inequalities includes 3.5, the compound inequality has a solution of all real numbers except 3.5.

Step-by-step explanation:

The areas of two rectangles can be represented by the functions shown. Which function represents the difference in the areas, h(x) = f(x) – g(x)? h(x) = 4x2 – 4x – 11 h(x) = 4x2 – 4x + 11 h(x) = –4x2 + 4x + 11 h(x) = 4x2 – 4x – 9

Answers

Answer:

x ^2 + 5x

Step-by-step explanation:

Let the area of the two triangles be expressed as;

f(x)= 4x^2+6x

g(x)=3x^2-x

Taking the difference

h(x) = f(x) - g(x)

h(x) = 4x ^2+6x - 3x^2-x

Collect like terms'

h(x) = 4x ^2 - 3x^2+6x-x

h(x) = x ^2 + 5x

Hence the difference is  x^2 + 5x

Note that the functions were assumed. The same methos can be applied to any other given functions.

Answer:

B: h(x) = 4x2 – 4x + 11

Step-by-step explanation:

I just did the assignmement on EDGEN and it's 200% correct!!

Also, heart and rate if you found this answer helpful. (P.S it makes me feel good to know that I helped someone today!!)

I'll give brainliest​

Answers

9514 1404 393

Answer:

  x = -2 or 3

Step-by-step explanation:

Let z = 2^x. Then the equation becomes ...

  [tex]2^{2x+2}+8=33(2^x)\\\\(2^2)(2^x)^2+8=33(2^x)\\\\4z^2+8=33z \qquad\text{substitute $z$ for $2^x$}\\\\4z^2-33z+8=0 \qquad\text{put the quadratic in standard form}\\\\(4z-1)(z-8)=0 \qquad\text{factor}\\\\z=\dfrac{1}{4}\text{ or }z=8\qquad\text{values of z that make the factors 0}\\\\x=\log_2{z}=\{-2,\ 3\}[/tex]

The values of x that satisfy the equation are -2 and 3.

_____

For the graph, we rewrite the equation to the form ...

  f(x) = 0

where

  f(x) = 2^(2x+2) +8 -33(2^x)

Then the x-intercepts of the function are the solution values for x.

A square floor tile has a diagonal 19 inches long. What is the area of the tile?

Answers

Answer : diagonal length = d(x) = √2(x)



The length of the diagonal, d, as a function of x (length of one side) is
given by x^2 + x^2 = d^2, or
d(x) = √(2x^2) = √2(x)

Write the word sentence as an inequality. Then solve the inequality.

A number x divided by 7 is less than −3.

An inequality is
.

The solution of this inequality is
.

Answers

Answer:

x/7<-3

x<-21

Step-by-step explanation:

x/7<-3

multiply the seven to get rid of x denominator

x<-21

Answer:

x/7<-3x<-21

Step-by-step explanation:

HOPE IT HELPS :)

Bryce has 10 bals in a bag, each having a distinct color. He randomly picks a ball from the bag 4 times, with replacement. The expected number of distinct colors among the 4 balls Bryce picks can be expressed as a simplified fraction p q . Find p q.

Answers

Answer:

p = 1 ; q = 10,000

Step-by-step explanation:

Number of distinct colored balls = 10

Number of balls picked with replacement = 4

Probability = (number of required outcome / number of total possible outcomes)

Distinct picks :

P(1st) = 1 /10

P(2nd) = 1/10

P(3rd) = 1/10

P(4th) = 1/10

Expected Numbe of distinct color:

P(1st) * P(2nd) * P(3rd) * P(4th)

1/10 * 1/10 * 1/10 * 1/10

= 1/10000

p/q = 1/ 10000

p = 1 ; q = 10,000

H(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}h(n)=−91⋅(− 7 1 ​ ) n−1 h, left parenthesis, n, right parenthesis, equals, minus, 91, dot, left parenthesis, minus, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.

Answers

Given:

[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]

To find:

The recursive formula.

Solution:

We have,

[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]

It is in the form of explicate formula of a GP, .i.e., [tex]a_n=ar^{n-1}[/tex].

Here, [tex]a=-91[/tex] and [tex]r=-\dfrac{1}{7}[/tex].

The recursive formula of a GP is

[tex]a_n=a_{n-1}\times r[/tex]

Using this the recursive formula for given problem is

[tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex]

Therefore, the required recursive formula is [tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex].

Find the inverse of f(x)=1/2x Write your answer in terms of g(x).

Answers

Answer:

The inverse of f is

[tex]g(x) = 2x[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{1}{2}x[/tex]

A function g is the inverse of function f if for y = f(x), x = g(y)

[tex]y=\frac{1}{2}x[/tex]

Replace x with y

[tex]x=\frac{1}{2}y[/tex]

Solve for y

[tex]y = 2x[/tex]

Therefore, the inverse of f is

[tex]g(x) = 2x[/tex]

What is the number?

10​% more than a number is 1​32.

Answers

Step-by-step explanation:

10% more = 110% of the number.

110% of the number = 132

100% of the number = 132 * (10/11) = 120.

The number is 120.

PLSSS HELP WILL MARK BRAINIST IF CORRECT

A farmer is painting a new barn. He will need to calculate the surface area of the barn to purchase the correct amount of paint. In which of the following units can the farmer expect to calculate the surface area?


m

m3

ft

ft2

Answers

Answer: ft2

Step-by-step explanation:

Answer:m2

Step-by-step explanation:

A virtual reality headset lists for $719. Find the net cost after trade discounts if the series discount is 10/30.

Answers

Answer:

479.33

Step-by-step explanation:

10/30 is the same as 1/3 or 33.34%.

Multiply the fraction to the original price then subtract.

719 * 1/3 = 239.67

719 - 239.67 = 479.33

Best of Luck!

What is the relationship
between a preimage and its image after a
dilation?

Answers

Answer:

After a dilation, the pre-image and image have the same shape but not the same size. In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional.

Step-by-step explanation:

please help me on this! will give you brainliest, thank you.

Answers

Answer:

a=music

b=3

c=mary and dan

Step-by-step explanation:

a) music

b) 3 students

c) Mary and Dan

98 1/10 % as a decimal

Answers

Answer:

98.1

Step-by-step explanation:

HELP ASAP An office employee ears $600 weekly. Find the equivalent earnings if paid biweekly, semimonthly, monthly, and annually

Answers

1200~bi-weekly

1200~semimonthly

2400~monthly

31,200~annually

Graph the line that passes through the two points.
(0, 0), (3, 3)
Line
Undo
Redo
Х
3
2
1
-3
-2
-1
0
1
2
13
-1
-2-
-3
Find the slope of the line.
slope =

Answers

Answer:

Graph attachedSlope is 7

Step-by-step explanation:

First plot the two points on the graph (0, 0) and (1/3, 7/3)

Then connect those points by a line and extend the line

See attached

Slope is:

m = 7/3 : 1/3 = 7/3*3 = 7

evaluate 2/3 (10-6) 1/2

Answers

Answer:

[tex] = \frac{2}{3} (10 - 6) \frac{1}{2} [/tex]

[tex] = \frac{2}{3} (4) \frac{1}{2} [/tex]

[tex] = \frac{8}{3} \times \frac{1}{2} [/tex]

[tex] = \frac{4}{3} [/tex]

Plss can someone help me out with thissss!!!!!!!!!!!

Answers

if there aren’t any degrees and it doesn’t state that the triangle is equilateral then you cannot solve this equation without more information

What is the coefficient in the term 7x?
A.0
B.1
C.7
D.x

Answers

Answer: (C.) 7The coefficient of the term 7x is 7 because the coefficient is the number that changes the variable which in this case is 7.

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