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
blsea [12.9K]
3 years ago
7

Find the length of DE. Round to the nearest hundredth. (Picture included)

Mathematics
1 answer:
LenKa [72]3 years ago
8 0
Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA \bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}  =

which one has all that?  low and behold, is Ms Sine,
so let's bother Ms Sine

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode

You might be interested in
Write the expression (X+6)(x-4) as a polynomial in standard form.
zmey [24]

Answer:

Just

Download photo maths

7 0
2 years ago
Solve photo question. Mathematics. Please.
guajiro [1.7K]
The second dot with says x+y=360 y=8x
8 0
3 years ago
Graph y = tanx for -pi/4 ≤ x ≤ pi/4. What is the range?
Debora [2.8K]

Answer:

( -1, 1 )

Step-by-step explanation:

For f ( x ) = tan x ;   Range = R (real no.)

Range in interval = ( -1, 1 )

3 0
3 years ago
Read 2 more answers
A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalen
Brut [27]

Answer:

  • Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

<u>Given expressions</u>

  • 4x - x + 5 = 3x + 5
  • 8 - 3x - 3 = -3x + 5

Compared, we see the expressions are different as 3x and -3x have different coefficient

<u>Answer options</u>

Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent

----------------------------------------

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

  • Incorrect. There are 2 values- variable and constant

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent.

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

  • Correct.  
3 0
3 years ago
Write an equation in slope-intercept form from the linear inequality graphed in the picture.
stepladder [879]

Answer:

  • equation: y = x+3
  • inequality: y < x+3

Step-by-step explanation:

The slope of the line is 1 unit of rise for 1 unit of run, so ...

  m = rise/run = 1/1 = 1

The y-intercept is 3 grid lines above the x-axis, so is (0, 3).

Then the equation of the line is ...

  y = 1x +3

The inequality has that line as a boundary, but the y-values on the line are not part of the solution space. Only y-values below the line (less than those on the line) are in the solution. The inequality is ...

  y < x +3

3 0
3 years ago
Other questions:
  • If cos 0=2/3, what are the values of sin 0 and tan 0?
    15·1 answer
  • The sum of two consecutive whole numbers is 97 what are the two numbers?
    13·1 answer
  • Use substitution to find the solution to the system of equations. 5x+7y=-29 y=x+1
    13·1 answer
  • How do you right 0.0001 in expanded form
    5·1 answer
  • Y-3=-3y-43 solve the equation
    8·2 answers
  • The smelliness of cheese (denoted by SSS) can be defined as a function of the amount of bacteria in the cheese (denoted by BBB)
    6·2 answers
  • Mr.Lopez owns a home that sits on 7/8 of an acre. He has decided to plow up 1/4 of the property to create a garden. What fractio
    8·1 answer
  • You have a bag of 130 strawberries. You eat 27 strawberries and then split the remaining strawberries between 4 friends. Which o
    11·1 answer
  • In a random sample of microwave​ ovens, the mean repair cost was ​$ and the standard deviation was ​$. Using the standard normal
    5·1 answer
  • The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!