1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artemon [7]
2 years ago
13

What is the length of segment HK?

Mathematics
1 answer:
Andre45 [30]2 years ago
5 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's take length of HK = n

By using trigonometry,

  • \sin(30)  =  \dfrac{22}{n}

  • \dfrac{1}{2}  =  \dfrac{22}{n}

  • n = 44

Hence, value of HK = 44 cm

You might be interested in
Evaluate 1x + y, for x = 8 and y=-15.<br> 7 <br> -7<br> 23<br> -23
statuscvo [17]

Answer:

B) -7

Step-by-step explanation:

x+y

8+(-15)=8-15=-7

5 0
2 years ago
If cos(x) = Three-fourths and tan(x) &lt; 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
Plz help me answer this!!!
larisa86 [58]

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

c=1/4

Decimal Form:

c=0.25

8 0
3 years ago
Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.
sleet_krkn [62]

Answer: $270

Step-by-step explanation:

I = prt

I = 0.18 x 750 x 2

I = 135 X 2

I = 270

6 0
3 years ago
Read 2 more answers
What is the equation of the graph
balandron [24]

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

4 0
3 years ago
Other questions:
  • A football team was training for four hours. During the first hour, they practiced for 5/8 of an hour. During the second hour, t
    6·1 answer
  • Find a second degree polynomial f(x) (of the form ax^2+b^x+2 that has a local extrema at (−5/8,7/16).
    13·1 answer
  • Is 6r and -15r like terms?
    6·1 answer
  • Find the interest. Round to the nearest cent.<br><br> $1850 at 8% for 14 months
    14·1 answer
  • Lan has $6,000. He wants to buy a car within $1,500 of this
    13·2 answers
  • For each long-distance call anywhere in the continental United States, a new phone service will charge users $0.60 per minute fo
    13·1 answer
  • A delivery service defines a "package" as a parcel for the sum of the length and the girth is less than 70 in (length is the lon
    8·1 answer
  • Which shows the domain range of these function?
    13·2 answers
  • I’ll mark you brainliest
    7·1 answer
  • There are 24 skittles in a bowl and 75% of them are red. How many skittles are red?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!