What is the length of segment HK?

What Is The Length Of Segment HK?

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's take length of HK = n

By using trigonometry,

[tex] \sin(30) = \dfrac{22}{n} [/tex]

[tex] \dfrac{1}{2} = \dfrac{22}{n} [/tex]

[tex]n = 44[/tex]

Hence, value of HK = 44 cm

Answer 2

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{JK}{HK}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{22}{HK}[/tex]

[tex]\\ \rm\Rrightarrow HK=\dfrac{22}{sin30}[/tex]

[tex]\\ \rm\Rrightarrow HK=44[/tex]


Related Questions

x(x-1)-x^2+2x=5 :))))))

Answers

Answer:

[tex]x(x - 1) - {x}^{2} + 2x = 5 \\ {x}^{2} - x - {x}^{2} + 2x = 5 \\ \therefore \: x \: = 5[/tex]

Answer:

x=5

Step-by-step explanation:

[tex]x(x-1)-x^2+2x=5[/tex]

expand by using distributive property

[tex]x^2-x-x^2+2x=5[/tex]

simplify

x=5

check work by substituting 5 into the original equation and simplify

use PEMDAS

[tex]5(5-1)-5^2+2(5)=5[/tex]

[tex]5(4)-25+10=5[/tex]

add and subtract  (left to right)

20-25+10=5

5=5

The equation is true, thus x=5

Julie ran 7/8 of a mile. Kelly ran 1/3 of a mile.. How much farther did Julie run?

Answers

First convert the distance she ran from a mixed number to a improper fraction:

2-3/4 equals 11/4.

Since this a unit rate problem divide the miles by the time traveled.

11/4 (miles) ÷ 1/3 (hour). When you divide a number by a fraction use (Keep-Change-Flip).

11/4 × 3/1 = 33/4 miles/hour.

Convert improper fraction to mixed number by dividing 33 by 4.

33/4 = 8-1/4 miles/ hour.

factor x^3+4x

please

Answers

[tex] = \: \: x \times ( {x}^{2} + 4)[/tex]

Step-by-step explanation:

[tex] {x}^{3} + 4x \\ \\ factor \: \: the \: \: expressions \: \: \\ \\ factor \: xfrom \: th e \: expression \\ \\ there \: for \: \: the \: factor \: is \\ x \times \: ( {x}^{2} + 4)[/tex]

hope it helps

Find the range and domain of the following function

Answers

Since we don’t see an end on the X value we know that every number could be X. This mean X is an element of reels, so the domain answer is XER, the y however is over -2, so y>-2 but it can be any number above that so it is also an element of reels. So y>-2,YER would be the range

Solve for x. Enter the solutions from least to greatest
5x^2 + 15x – 50 = 0
lesser x =
greater x =

Answers

Least x= -5
Greater x= 2

answer this please:)
show the solutions
thank you ​

Answers

for 2 answers are -6/5, -3 and 3

Step-by-step explanation:

i don't know answer for 1 and 3 but i can help u with 2

5x^3 + 6x^2 - 45x - 54

x^2( 5x + 6) -9(5x-6)

(5x+6)(x^2 - 9)

5x+6=0 x^2-9=0

5x= -6 x^2= 9

x= -6/5 x= -3 or 3

[tex]10=2(r+1)[/tex]

Answers

R=4 hope this helps!!!!!!
10 = 2 ( r + 1 )

10 over 2 = r+1

5=r+1
r+1=5

r=5-1
r=4

help..........................

Answers

-5x = 13 - 78
-5x = -65
65/5
x = 13.

Find the equation of the line passing
through the points (2, 1) and (5, 10).
y= [? ]x + [ ]

Answers

Hello There!

y-y1=m(x-x1)

y-1=m(x-2)                       [tex]m=\frac{y2-y1}{x2-x1}[/tex]

                                                [tex]m=\frac{10-1}{5-2}[/tex]

                                                 [tex]m=\frac{9}{3} \\m=3[/tex]

y-1=3(x-2)

y-1=3x-6

y=3x-6+1

y=3x-5

hope it helps

Which expression shows the first step in applying the distributive property to
6(8-3)?
A.
6.8 +6
B.
1 2 3
(6 - 8) (6-1
-
o D. 6.8-6. 1 / 3
C.
6
- 6-8

Answers

Answer:

Answer: Option D

Answer: Option DStep-by-step explanation:

• In distributive property, we multiply the factor to each term in the bracket. So that the reverse is true.

Take an example;

[tex] \dashrightarrow \: { \rm{x(y + z)}}[/tex]

• To apply distributive property, mulyiply both y and z by x following the addition operation.

summary:

[tex] \dashrightarrow \: { \rm{xy + xz}}[/tex]

→ The expression above is the expansion using distributive property.

• Back to the question, we are given a factorised expression;

[tex]{ \rm{6(8 - \frac{1}{3} )}} \\ [/tex]

• To apply the distributive property, multiply 8 and by 6:

[tex] \dashrightarrow \: { \boxed{ \boxed{ \rm{ \: (6 \: • \: 8 - 6 \: • \: \frac{1}{3}) }}}} \\ [/tex]

the answer is D ^^ what that person said

Jonathan collects postcards and stamps. The number of postcards in his collection is 12 more than 4 the number
in all. If Jonathan has x stamps, which equation represents this situation and how many stamps does he have?
OA. The equation is fr+12 = 39, and the number of stamps is 36.
OB . The equation is 1+1=39, and the number of stamps is 24.
О с. The equation is sti+5 = 39, and the number of stamps is 18.
OD. The equation is r= 39+1, and the number of stamps is 156.
Reset
Next

Answers

Answer:

OA

Step-by-step explanation:

that is the only one with the right numbers

Write -(3) to the power of 4 in expanded form?

Answers

Answer= -81
-3 x -3 x -3 x-3= -81

solve the system of equations by the substitution method .
y=5x+8
y=8x+9

Answers

Answer:

rearrange the question

y - 5x = 8.................(1)

y - 8x = 9..................(2)

make y the subject formula in eqn. (1)

y = 8 + 5x................(3)

substitute

8 + 5x - 8x = 9

-3x = 1

x = -⅓

y = 8 + 5x

y = 8 + (-⅓)

y = 23/3

A coin is flipped 8 times. Find the probability of the event:

exactly 8 heads
a.
0.004
b.
1
c.
0.0625
d.
0.109

Answers

Answer:

It should be a. 0.004.

Step-by-step explanation:

I got this correct on Edge.

It should be A 0.004

please hellpppp!!! :)

Answers

Answer: (a.) 32x-20  4*8-4*5        (b.) 22y    11y+11y

Step-by-step explanation:

There are four black kittens and two orange kittens how does the number of black kittens compare to the total number of kittens in the litter? Write a comparison beginning with “for every.”
Plz help me

Answers

Answer:

For every orange kitten, there are two black kittens. I hope this helps.

Step-by-step explanation:

What is the relationship between the circumference and diameter of a circle?

Answers

Answer:

Step-by-step explanation:

Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).

next term in each sequence 2,3,4,0,​

Answers

Answer:

1 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

1

Step-by-step explanation:

2,3,4,0,1,2,-2,-1,0...

Feel free to mark this as brainliest! :D

Help me with 47-50 based on the graph

Answers

Answer:

-1

3

[-4,-2] and [2,3] are increasing

[-2,-1] and [3,5] are decreasing

(-infinity,-4] and [-1,2] and [5,infinity)

Step-by-step explanation:

look at the graph

for 47. it's asking when the input (aka the X) is equal to 1, what is the output (aka the Y). so just go to the graph where X=1 and read the Y

In how many ways can 8 diplomats be seated at a round table?

A)40,320
B)5,040
C)720

Answers

Answer:

5040

Step-by-step explanation:

Now, imagine a specific arrangement. Now, have everyone get up and move one seat to their right. That arrangement was counted separately from the first one in the 8! but it’s really the same since if each person looks to their left and their right, they’re sitting next to the same person. There are 8 such “identical rotations” for each possible seating arrangement so the total number of seatings is 8! / 8 = 7! = 5040.

HOPE IT HELPS

Anyone know how to do this?

Answers

Answer:

63.55

Step-by-step explanation:

1. Given that Javier's pay rate is $10.25 per hour, let's find the combined amount he earned from Monday and Tuesday by multiplying the hours worked by 10.25.

[tex]2.4 * 10.25[/tex]  [tex]24.6[/tex] [tex]3.8*10.25[/tex] [tex]38.95[/tex]

2. Now, let's add 24.6 and 38.95 to get how much he earned:

[tex]24.6+38.95[/tex] [tex]63.55[/tex]

Therefore, Javier earned 63.55 dollars and cents on those two days.

El costo total para fabricar sopaipillas incluye un costo fijo de $ 5.000 más un costo de $ 80 por cada unidad. ¿Cuál de las siguientes funciones expresa el costo total ( C ), en pesos, para fabricar x sopaipillas

Answers

Answer:

y = 80x + 5000

Step-by-step explanation:

Graph 4x +3x=11 and x=y+1 as 2 separate lines that intersect.

Answers

Answer:

Step-by-step explanation:

So first of all, you can rearrange your equations:

4x + 7x = 11 can be rearranged and simplified to x = 11/7

x = y + 1 can be rearranged to y = x - 1

Then you can graph them like normal by plugging in points. It should look like the following picture

Help me please
3x+12=?

Answers

Answer:

3(x+4)

Step-by-step explanation:

simple common factor problem.

find (0.05)^2 I need the explain​

Answers

Step-by-step explanation:

(0.05)²

CHANGE 0.05 INTO SCIENTIFIC NOTATION

= (5 × 10^-2)²

SQUARE IT OFF EACH NUMBER

= 5² × (10^-2)²

=25 × 10^-4

=0.025

Answer:

.05×.05=.0025 because it is squared

A teacher said that 68% would be the
lowest passing test score. Kanisha got
19 out of 28 problems correct. What
was her test score? Was it a passing
score?

Answers

A percentage is out of 100%.

19 (questions right) / 28 (total) = 0.67857142857

Round to the tenth, 67.9.

67.9%, not a passing score.

Answer:

Kanisha's test score is approximately 67.8571 percent.

Step-by-step explanation:

19/28 is about 67.8571, just under the 68 percent passing score. However, if her test score is rounded up, it will exactly meet the lowest passing score.

Plsss so keen help ASAP

Answers

I assume B, since you start with the sum of 16, then break it down and get "9+1=10, 10+6=16"

(6x - 2)2 + (5x - 2)2 - 4(3x -1)(5x - 2) = 0

Answers

Answer:

[tex]x[/tex]∈{[tex]\frac{\sqrt{129} +33}{60} ,\frac{-\sqrt{129}+33 }{60} )[/tex]

Step-by-step explanation:

( There is over 25 steps) (brainly has a max amount of characters)

Write and evaluate the expression. Then, select the correct answer.

two less than the quotient of a number and four, increased by ten;

evaluate when m = 12

2 + 4m -10, when m = 11, the value is 40
4m + 2 +10, when m = 11, the value is 60
2 -StartFraction m Over 4 EndFraction 4m + 10, when m = 12, the value is 9
StartFraction m Over 4 EndFraction-2+10, when m = 12, the value is 11

Answers

Answer:

D

Step-by-step explanation:

Answer:

Your answer will be D I promise it is correct but if it's not correct I'm truley sorry

Step-by-step explanation:

PLEASE HELP!!
Pleaaseeeeee

Answers

Step-by-step explanation:

63+36+X = 180 (interior angles of a triangle equal 180)

X = 180-99

X= 81

X+Z= 180(angles on a straight line adds up to 180)

81+y= 180

Z=180-81

Z =99

13+Z+Y=180

13+99+Y=180

Y=180-112

Y=68

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