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
kolbaska11 [484]
3 years ago
10

Type the correct answer in the box. Round off your answer to the nearest integer.

Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer:

59°

Step-by-step explanation:

In triangle DAB, by Pythagoras theorem:

DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}

Next, in triangle DCB, by Pythagoras theorem:

DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}

Now, by sin rule.

\frac{ \sin \: p}{ \sqrt{45} }  =  \frac{ \sin 90 \degree}{ \sqrt{61} }  \\  \\ \frac{ \sin \: p}{ 6.70820393}  =  \frac{ 1}{ 7.81024968 }  \\  \\ \sin \: p =  \frac{ 6.70820393}{7.81024968}  \\  \\ \sin \: p = 0.858897501 \\  \\p = 59.19301883 \degree \\  \\ p  \approx 59 \degree

You might be interested in
BRAINLIESTTT ASAP! PLEASE HELP ME :)<br><br> Find the inverse of :
muminat

Answer:

h^{-1}(x) = \dfrac{5x - 6}{2}

Step-by-step explanation:

h(x)= \dfrac{2x + 6}{5}

(a) Rename h(x) as y  

y = \dfrac{ 2x+ 6}{5}

(b) Solve for x :  

\begin{array}{rcl}y& = &\dfrac{2x + 6}{5}\\\\5y & = & 2x + 6\\5y - 6 & = & 2x\\x & = & \mathbf{\dfrac{5y - 6}{2}}\end{array}

(d) Switch x and y  

y = \dfrac{5x -6}{2}

(e) Rename y as the inverse function  

h^{-1}(x) = \mathbf{\dfrac{5x - 6}{2}}

The graphs of inverse functions are reflections of each other across the line y = x.

In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.

5 0
3 years ago
Read 2 more answers
the length of a rectangle is 9 inches more than the width. the perimeter is 54 inches. Find the length and width of the rectangl
Keith_Richards [23]
W is width W+9 is length W+W+9=54 2w=45 45/2 W=22.5 Width is 22.5 length is 31.5
7 0
3 years ago
In the standard (x, y) coordinate plane, if the x-coordinate of each point is 2 times the y-coordinate, what is the slope of the
uranmaximum [27]
1/2 (Rise over Run)
I hope this helps out :3
3 0
3 years ago
Which figures below are congruent?<br> 1 and 2<br> 2 and 3<br> 1 and 3<br> 2 and 4
zvonat [6]

Answer:

1 and 3

Step-by-step explanation:

since they both are equal shape with equal sizes.

4 0
3 years ago
Urgent please help..
Strike441 [17]

Answer:

b = 7√3

Step-by-step explanation:

This 30°- 60°- 90° triangle has the proportions:

side opposite of the 30° angle = x

side opposite of the 60° angle = x√3

side opposite of the 90° angle = 2x

____________________________

Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.

Since x = 7, x√3 = 7√3, and therefore

b = 7√3.

8 0
3 years ago
Other questions:
  • How do you find an average?
    15·1 answer
  • Can you help me with theses problems plz.Also can you explain to me how to get it.Thank you
    8·1 answer
  • Which of the following statistical measures is least appropriate for describing the data set shown below?
    8·2 answers
  • What is the area of jkl in square units
    8·1 answer
  • True or False? A circle could be circumscribed about the quadrilateral below.
    15·1 answer
  • The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y. x=-4,y=6
    11·1 answer
  • Answer the mathmatics question below, and please give me an accurate answer. Thank you!
    12·2 answers
  • A car uses 1 gallon of gasoline for every 25 miles driven. At the start of a trip the tank was full of gasoline. After driving 5
    13·1 answer
  • Suppose a fair six sided die has been relabeled so that the 6 is replaced with another 5,i.e., the sides read 1,2,3,4,5,5. If th
    11·1 answer
  • An engineer stands 30 ft. from a building and notes a 55 degree angle of elevation to the top of the building. How high is the b
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!