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
mylen [45]
3 years ago
9

Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree. sin A = 0.96, tan B = 0.53, cos

C = 0.44
Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0
To find each of the angles we must make the following clearances:
 For ∠A
 sin A = 0.96
 A = Asin (0.96)
 A = 73.7 degrees
 For ∠B
 tan B = 0.53
 B = Atan (0.53)
 B = 27.9 degrees
 For ∠C
 cos C = 0.44
 C = Acos (0.44)
 C = 63.9 degrees
 Answer:
 approximate measures of ∠A, ∠B, and ∠C are:
 A = 73.7 degrees
 B = 27.9 degrees
 C = 63.9 degrees
You might be interested in
There are 120 seats in a row. What is the fewest number of seats that must be occupied so the next person to be seated must sit
Zanzabum
Let's name the seats 1 through 120.
Occupy seat 2.
Leave 2 empty seats. You can't leave 3 empty seats because then the middle seat of the three empty seats is not adjacent to an occupied seat. You can leave only 2 seats empty. Seats 3 and 4 are empty.
Occupy seat 5.
Leave 2 empty seats. Seats 6 and 7 are empty.
Keep on going like this to the end, occupying 1 seat and leaving 2 seats empty.
Now we need to find the number of occupied seats.
Think of the entire row being divided into groups of 3 seats.
The middle seat of each group is occupied.
Since there are 120 seats in the row, there are 40 groups of 3 seats whose middle seat is occupied. There are 40 middle seats, so there are 40 occupied seats.

Answer: 40 seats
4 0
4 years ago
The function f(x) = -(x-3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of
pashok25 [27]

Answer:

Maximum area = 9 sq units

Step-by-step explanation:

f(x)=-(x-3)^2+9

which represents the area . As it is a quadratic equation it represents the parabola . And the vertex of the parabola will maximum area of for some value of x

let f(x) = y

y=-(x-3)^2+9

(x-3)^2=-(y-9)

Comparing it with the standard equation of parabola

y=(x-h)^2+k

we get h=3 and y=9

where (h,k) is the vertex (3,9)

Hence the maximum area of the rectangle will be 9

6 0
3 years ago
The product of a number and -7 gives seven times the sum of that number and -40. Find the number
Ymorist [56]
Let the unknown number be x.

x × -7 = 7 (x + -40)

-7x = 7x - 280

-14x = -280

x = 280/14

x = 20

Hope this helps!
4 0
3 years ago
Based on the graph, which equation represents the relationship between the height of trees (y) and the amount of rainfall (x)?
slega [8]

<u>Given</u>:

Given that the graph that shows the amount of rainfall( in centimeters) and the height of the trees( in meters)

We need to determine the equation that represents the relationship between the height of trees(y) and the amount of rainfall(x).

<u>Slope of the equation:</u>

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (20,10) and (40, 20) in the above formula.

Thus, we get;

m=\frac{20-10}{40-20}

m=\frac{10}{20}

m=0.5

Thus, the slope of the equation is 0.5

<u>y - intercept:</u>

The y - intercept of the equation is the value of y when x = 0.

Thus, from the graph, when x = 0, the value of y is 0.

Hence, the y - intercept is b = 0

<u>Equation of the graph:</u>

The equation of the given graph can be determined using the formula,

y=mx+b

Substituting the values, we get;

y=0.5x+0

y=0.5x

Thus, the equation that represents the relationship between the height of the trees (y) and the amount of rainfall (x) is y=0.5x

Hence, Option C is the correct answer.

5 0
3 years ago
Read 2 more answers
Michelle has a recipe that asks for 2 1/2 cups of vegetable oil. She wants to use 2/3 that amount of oil use applesauce to repla
Wittaler [7]

This is a multiplication problem.

2 1/2 * 2/3 = 5/2 * 2/3 = 10/6

She will use 10/6 or 1 2/3 cups of vegetable oil (or applesauce idk).

Hope this helps, let me know if it's wrong!

8 0
4 years ago
Other questions:
  • Terrance picked 54 apples. He kept a apples for himself and gave each of 6 friends an equal number of apples. How many apples di
    5·2 answers
  • If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true
    15·1 answer
  • What is the slope of the line through the points (-3 , -6) and (-6, 12)?
    9·2 answers
  • Miss Cohan purchased a bottle of vitamins for $7.99 a bottle of aspirin for $6.49 and a bottle of mouthwash for $2.99 she gave t
    6·1 answer
  • Given that 7 is a zero of h(x)=x^3-7x^2-3x+21, find the other zeros.
    5·1 answer
  • Consider this function.
    15·2 answers
  • What is f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)
    8·1 answer
  • A savings account earns simple interest at a rate of 6% per year. Last year the account earned $10.86 in interest. What was the
    10·2 answers
  • Ms. Lawrie is making 30 boxes of space food. She made 2/
    15·2 answers
  • Help me ASAP for this question <br> AC is a diameter of D and BDC = 25°. What is the measure of ADB
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!