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
kvasek [131]
3 years ago
5

Please help me do this question​

Mathematics
2 answers:
Gnom [1K]3 years ago
6 0

x = 90°, 16.3°

Step-by-step explanation:

We are going to use the identity

\cos x =\sqrt{1-\sin^2x}

and substitute this into our expression so we can write

4\sin x + 3\sqrt{1-\sin^2x} = 4

\Rightarrow 3\sqrt{1-\sin^2x} = 4(1 - \sin x)

Take the square of the equation above to get

9(1 - \sin^2x) = 16(1 - \sin x)^2

\:\:\:\:\:= 16(1 - 2\sin x +  \sin^2x)

Rearranging the terms, we then get

25\sin^2x - 32\sin x + 7 = 0

If we let u = \sin x, the above equation becomes

25u^2 - 32u + 7= 0

This looks like a quadratic equation whose roots are

u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

\;\;\;\;= \dfrac{32 \pm \sqrt{32^2 - 4(25)(7)}}{50}

\;\;\;\;=\dfrac{32 \pm 18}{50} = 1, 0.28

We can then write

\sin x = 1 \:\text{and}\;0.28

Solving for x, we finally get

x = 90°\:\text{and}\:16.3°

Minchanka [31]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
Can someone help me with this one question???
Hitman42 [59]
Z and 113° are supplementary, they add to make up 180. So z + 113 = 180, z = 67°. x and 113° are equivelant, so 8x + 41 = 113, x = 9.
3 0
3 years ago
If you chose a 3 letter password from the letters A,B,C, and D the password cannot have the same letter repeated in it. How many
ozzi
There are 4 possible passwords
6 0
3 years ago
When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard devia
iragen [17]

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth

4 0
3 years ago
Carmen buys a car for $28,000. The vehicle depreciates by 16% each year. Which of the following is the common ratio representing
Softa [21]

Answer:

y+mx+6=5

Step-by-step explanation:

4 0
3 years ago
I'm offering 10 points, only answer if you're smart
Vera_Pavlovna [14]
Challenge accepted!!
This is more simple than you think, it's actually quite similar to that of diameter and radius, except this is triangles instead of circles. 

The "centroid" of a triangle is known as the center of mass, everything around it is perfectly evenly balanced from that point, and for triangles, it's the point of intersection for all medians. Now, when dealing with the centroid of triangles, there is a rule that always applies to every median: the distance from a vertex of the triangle to the centroid is ALWAYS twice that of the distance to the midpoint, which would be on the side opposite of the chosen vertex. 

Let's call the identified side "B", the Centroid "A" and the Vertex "C"

Point B to point A is half the distance of point A to point C, as point B occurs on the opposite side of point C. 

This is the same for EVERY median. You could choose any line, and any vertex, and the answer would be the same. The side, if it's opposite of the vertex, is always half the distance to the centroid as the Vertex to the centroid is. 

Your answer A "Twice"

~Hope you better understand, and that this helped!
7 0
3 years ago
Other questions:
  • How many different three digit numbers can be formed with 1 2 and 3?
    7·1 answer
  • A single gram of a certain metallic substance has 0.52 grams of copper and 0.26 grams of zinc. The remaining portion of the subs
    9·1 answer
  • What measurement is not equal to 6. 5 meters?
    10·2 answers
  • X = 1 and y = -3 satisfy x - 2y = 5<br> True or false
    13·2 answers
  • There are 13 vans and 12 buses with 767 students at high school. And at high school B there are 8 vans and 6 buses with 400 stud
    10·1 answer
  • What is the area of a rectangle 5 inches long and 6 inches wide
    10·2 answers
  • The temperature during the day in Miami was 92 Degrees F. During the night, the temperature fell 4 Degrees F. What expression co
    9·2 answers
  • How do you determine when a counting problem involves a permutation or a combination?
    5·1 answer
  • A yacht travels 20 miles in 60 minutes. How far does the yacht travel per minute? *
    5·1 answer
  • If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!