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
pychu [463]
2 years ago
6

UDD Question 6 10 pts Solve for x. Round to the nearest tenth (one decimal place). Just type the number, no unit of measurement.

G X 240 DI F 48 Next * Previous​

Mathematics
1 answer:
NISA [10]2 years ago
8 0

Answer:

The answer is;

54.4

Step-by-step explanation:

The given parameter are;

Triangle ΔFGH = Right triangle

The length of segment \overline {FH} = 48

The measure of ∠HFG = 28°

The measurement required = The measure of segment \overline {FG} = x

The measure of ∠FHG = 90° angle opposite hypotenuse side of a right triangle

Therefore, ∠FGH = 180° - ∠HFG - ∠FHG = 180° - 90° - 28° = 62°

∠FGH = 62°

By sine rule, we have;

\overline {FH}/(sin ∠FGH) = \overline {FG}/(sin(∠FHG)

By substituting the known values, we have;

48/(sin 62°) = x/(sin(90°)

sin(90°) = 1, therefore, we have;

x/1 = x = 48/(sin 62°) = 54.4 (by rounding the answer to the nearest tenth)

x = 54.4

You might be interested in
Find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1.
Elza [17]
Using the quotient rule  

dy/dx  =  (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
              ----------------------------------------------
                              (x^2 - 1)^2

You are correct
7 0
3 years ago
Recall the experiment comparing patients 4 weeks after surgery for carpal
dimulka [17.4K]

Answer:

4. H0: u1= u2    Ha; u1≠ u2

5. The smaller value of p supports the null hypothesis.

Step-by-step explanation:

4. The null and alternate hypotheses are

H0: u1= u2   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1≠ u2   i.e there a difference between the mean pinch strengthof the two surgeries

It can be written like this as well

H0: u1 -u2= 0   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1 -u2≠ 0   i.e there a difference between the mean pinch strengthof the two surgeries

Part 5. The test having a p- value less than 0.05  tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.

The smaller value of p supports the null hypothesis.

3 0
2 years ago
Find the distance from the origin to the graph of 6x+3y+2=0
AURORKA [14]
Slope=-2
Y-intercept—2/3
5 0
3 years ago
1- find the first term= ?, 90, 540, 3240
Luda [366]

Answer:

1. 15

2. 8

Step-by-step explanation:

The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)

The nth term of a GP is;

Tn = ar^(n-1)

Where;

a = first term

r = common ratio

For the first sequence;

The common ratio r is

r = T3/T2 = 540/90 = 6

r = 6

T2 = ar^(2-1) = ar

T2 = 90 = ar

Substituting the values of r;

90 = a × 6

a = 90/6

a = 15

First term = 15

2. The sam method applies here.

Common ratio r = T3/T2 = 128/32 = 4

r = 4

T2 = ar^(2-1) = ar

T2 = 32 = ar

Substituting the values of r;

32 = a × 4

a = 32/4

a = 8

First term = 8

4 0
3 years ago
Fairfield Elementary has 14 sets of building blocks. There are 125 blocks in each set. How many blocks are there altogether?
yan [13]

Answer:

1,750 building blocks.

Step-by-step explanation:

In order to find the solution to this question, you must use multiplication.

If there are 14 sets of building blocks with 125 blocks each, in order to find the total amount of blocks we multiply 14 by 125.

You should get 1,750 as your final answer.

6 0
2 years ago
Other questions:
  • Which of the following is a nonlinear function?​
    11·1 answer
  • Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times p
    5·1 answer
  • Find the distance between the points (6,-4) and (6,3)
    5·2 answers
  • Sally opens a bank account with $500. The account accrues 5% interest compounded annually.
    8·1 answer
  • Can anyone help me out plz
    13·1 answer
  • Pls help? find DE in the parallelogram if AC = 14 and BE = 7??
    8·2 answers
  • Pls help
    6·1 answer
  • Hi
    12·1 answer
  • What Equation Describes the Hanger?
    12·2 answers
  • Helphelphelphelp please
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!