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
BlackZzzverrR [31]
2 years ago
12

Find out the answer please​

Mathematics
1 answer:
shepuryov [24]2 years ago
4 0

You can very clearly use the sine law in this case, which states that the ratio between the sine of an angle and the opposite side is constant in every triangle.

In this case, we have

\dfrac{\sin(x)}{11} = \dfrac{\sin(38)}{8} \iff \sin(x)=\dfrac{11\sin(38)}{8}\approx 0.85

Finally, we have

x=\arcsin(0.85)\approx 58.2

You might be interested in
Explain how you would graph the following set of parametric equations by plotting points and describing the orientation.
lyudmila [28]
Concept:

First eliminate the t from x=3t and then put it in y=t² and then graph it. As, limit of t is not  restricted so t ∈ R(all real numbers)

As it is difficult to make graph here so I have solved it by hand and add all detail regarding it.

6 0
3 years ago
Read 2 more answers
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by \nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}

- (Gauss' theorem)Given a closed surface S, the following applies

\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8

Hence, by the Gauss theorem we have that

\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2.

Hence, the volume of V is 2\cdot 2 \cdot 2 = 8. Then, the final answer is

\int_{S} F\cdot \vec{n} dS =8\cdot 8 = 64

5 0
3 years ago
What's 1.625 rounded to the nearest hundreth
solniwko [45]
1.63 is the answer. :))))))
7 0
3 years ago
Read 2 more answers
The graph of g(x) = (1/2)^x is the graph of f(x) = 2^x reflected over the y-axis. Which graph represents g(x)?
Dominik [7]

Answer:

eflect across y axis means that you replace x with -x

f(-x)=2(-x)=-2x

g(x)=-2x

de graph is the one that passes through (0,0) and (1,-2) and -1,2)

Step-by-step explanation:

4 0
3 years ago
6)
dybincka [34]

Answer:

C

Step-by-step explanation:

both 4 and -4 are 4 units away from 0

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x
    13·2 answers
  • Consider the following coordinates
    11·2 answers
  • -
    8·1 answer
  • If you have a $54.40 balance in your checking account, and you make a deposit of $150.00, what will the new balance be?A. $194.4
    9·1 answer
  • Someone please help me
    7·1 answer
  • A cabinet maker used 0.75 gallons of varnish on 10 cabinet doors.At this rate, how many quarts of varnish are required for 25 ca
    5·1 answer
  • We know that 455 students are in school today.
    12·1 answer
  • What kind of shape will you see if you cut a cross section parallel to the base of a cylinder
    5·2 answers
  • Thomas found a board in his dad’s garage. He cut off 15 in. Then he cut the remaining board into 3 equal pieces. Each piece is n
    15·2 answers
  • What is the factorization of the expression below?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!