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
patriot [66]
3 years ago
6

Find the missing part.

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

The answer is a = \frac{15}{4}

Step-by-step explanation:

We have to:

cos(\theta) = \frac{adjacent\ side}{hypotenuse}

So, if we take the 60 degree angle of the smallest triangle, we have to:

cos(60) = \frac{a}{x}

We do not know x. But if we take the sine of the angle of 30 degrees and the main triangle we have:

sin(30) = \frac{x}{15}\\\\x =\frac{15}{2}

Then:

cos(60) = \frac{a}{\frac{15}{2}}

a = cos(60)\frac{15}{2}

a = \frac{15}{4}

You might be interested in
The equation of line f is y − 9 = -5(x + 7) . Line g is parallel to line f and passes through (3, -8) . What is the equation of
Kisachek [45]

Answer:

The slope intercept form: y = - 5x + 7

Step-by-step explanation:

The equation of line f is y − 9 = -5(x + 7)

You need to find the slope of line f

y - 9 =  -5(x + 7)

In point slope form: y - y1 = m(x - x1) where m = slope

In the line f, slope m = -5

Parallel lines, slope is the same so slope of line g is also equal - 5

Line g passes through (3, - 8) so equation in point slope form:

y + 8 = -5(x - 3)

y + 8 = -5x + 15

y = -5x + 7    <-----this is slope intercept form

5 0
3 years ago
00:00
andreev551 [17]

Answer:

I need Help on this one too.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A ball is thrown from a height of 139 feet with an initial downward velocity of 15 ft/s. The ball's height h (in feet) after t s
ella [17]

Answer:

t = 2.52 seconds

Step-by-step explanation:

h=139-15t-16t^2

We want to know when the ball hits the ground

That would be when h=0

0 = 139-15t-16t^2

We can use the quadratic formula to find t

t = -b ± sqrt(b^2-4ac)

       ----------------------

          2a

where a = -16   b = -15  and c = 139

t = -(-15) ± sqrt((-15)^2-4(-16)139)

       ----------------------

          2(-16)

t = (15) ± sqrt(225+8896)

       ----------------------

          -32

t = (15) ± sqrt(9121)

       ----------------------

          -32

t = 15+ sqrt(9121)                       t = 15- sqrt(9121)

     --------------------   or                    -------------------  

           -32                                               -32

        -3.453247707        or              2.515747707

Since time cannot be negative

 2.515747707

Round to the nearest hundredth

t = 2.52 seconds

6 0
3 years ago
The function h(n) gives the number of person-hours it takes to assemble n engines in a factory. What is a reasonable domain for
storchak [24]

Answer:

For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.

4 0
2 years ago
The value of <br> 37<br> −<br> −<br> √<br> −<br> 24<br> −<br> −<br> √<br> 37−24<br> is between:
Effectus [21]

Answer:23 And 24

Step-by-step explanation:

((37 - (−√(−24))) - (−√(37))) - 24 =

19.0827625 + 4.89897949 i

19.0827625

+ 4.89897949

23.98174199

23.98174199 is between 23 and 24

3 0
3 years ago
Other questions:
  • In the figure BE||CD solve for x. Show work
    15·1 answer
  • What times what equals 31
    10·2 answers
  • Solve each system using substitution.<br> 3x+2y=23<br> 1/2x-4=y
    11·2 answers
  • How do I simplify (-3)(7)+(-5)(-2)
    5·2 answers
  • A juice box is 4 inches tall, 1 inch wide and 2 inches long. How much juice fits inside the juice box? Should I use volume or su
    15·2 answers
  • What is 3.2 m converted to centimeters?
    14·2 answers
  • Drag the tiles to the correct boxes to complete the pairs. Match each word problem to its solution. Seven more than 3 times a nu
    9·2 answers
  • The stock of Company A gained 4% today to $4.16. What was the opening price of the stock in the beginning of the day?
    11·1 answer
  • Please help I will mark Brainiest (No links please)
    7·2 answers
  • Aiden buys a bag of cookies that contains 9 chocolate chip cookies, 8 peanut butter cookies, 8 sugar cookies and 9 oatmeal cooki
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!