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
Rina8888 [55]
3 years ago
15

What is the approximate value of x in the diagram below

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

Answer:

x = 8 cm

Step-by-step explanation:

The first step in solving this problem is to determine which trig function applies.  The diagram shows that this triangle is a right triangle, that side x is opposite the 25-degree angle, and that the hypotenuse has a length of 18 cm.  

The sine function of an angle Ф is defined as the ratio of the opposite side to the hypotenuse.  In this case, sin Ф (or sin 25 degrees) equals x/(18 cm).

We need to determine the value of x.  Adapt the above equation to this particular situation:  sin 25 degrees = x/(18 cm).

To solve for x, multiply both sides of the most recent equation, above, by (18 cm).  The following results:  (18 cm)(sin 25 degrees) = x.

Next, use a calculator to find the value of sin 25 degrees:  It is 0.4226.

Then the desired value of x is (18 cm)(0.4226), or x = 7.61 cm.  This should be rounded off to x = 8 cm to reflect the level of accuracy of the given 18 cm.

You might be interested in
Find the missing length indicated. Leave your answer in simplest radical form.
musickatia [10]

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   \frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}

   56x = (18√14)²

   56x = 4536

   x = \frac{4536}{56}

   x = 81

2). By applying geometric mean theorem,

    \frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}

    16x = (8√21)²

    16x = 1344

    x = \frac{1344}{16}

   x = 84

6 0
2 years ago
Use the quadratic formula to solve the equation if necessary round to the nearest hundredth x^2+x-30=0
yaroslaw [1]

Answer:

(x-5)(x+6)=0

Step-by-step explanation:

hehe i doing the smae unit rn.

if a=1 (which it does do ac factoring)

you need two numbers that multiply to -30 and add to 1. those numbers  are 5 and -6.

substitute 1x for -5x + 6x.

group the numbers into pairs and find their gcf's

x(x-5)    6(x-5)

since the parenthesis r the same yo only need one. Now you need to put x and 6 in a parenthesis.

FINAL: (x-5)(x+6) hope this helps

6 0
3 years ago
In a recipe, the ratio of fluid ounces of water to fluid ounces of tomato paste is 3:4. You plan to make 35 fluid ounces of sauc
WITCHER [35]
3:4......added = 7

3/7(35) = 105/7 = 15 oz water
4/7(35) = 140/7 = 20 oz tomato paste <==
4 0
3 years ago
How do I factor the equation in writing this question?
SCORPION-xisa [38]

Step-by-step explanation:

You are just replacing the 'n' with the number in the 'n box'.

So if this is the formula:

b(n) = 4 - (n \div 3)

then:

B(-3)= 4-(-3/3)

B(-3)= 4-( -1)

B(-3)= 4+1

B(-3)= 5

B(0)= 4-(0/3)

B(0)= 4-0

B(0)= 4

B(3)= 4-(3/3)

B(3)= 4-1

B(3)= 3

6 0
3 years ago
5
levacccp [35]
Easy hijdbggffafaysuwus
6 0
3 years ago
Other questions:
  • What is the value of x? Enter your answer in the box. units
    11·1 answer
  • An average response rate for a marketing letter is 4%, meaning that 4% of the people who receive the letter respond to it. A com
    8·1 answer
  • Help me please................................
    5·1 answer
  • Your gross income is $4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withhold
    5·2 answers
  • When the consumer price index (cpi) decreases from 250 to 150, prices decrease by 100%. True or false?
    8·1 answer
  • Solve the following system of equation <br><br><br> X-2y=14<br> X+3y=9
    7·2 answers
  • Turn 32/64 into a percent?
    13·2 answers
  • The figures below are similar, explain what you know about the sides.
    12·1 answer
  • What is the slope of the following graph?
    11·1 answer
  • 1/4 divided by 3 1/2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!