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
AleksAgata [21]
3 years ago
9

Solve for the right triangle given only one side and angle

Mathematics
2 answers:
34kurt3 years ago
8 0

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

sdas [7]3 years ago
5 0

Answer:

\huge \boxed{CD =\sqrt{11} } \\ \\ \huge \boxed{CE =\sqrt{11} }

Step-by-step explanation:

The triangle is a right triangle.

We can apply trigonometric functions to solve for the missing sides.

sin θ  = opp/hyp

sin 45 = <em>CD </em>/√22

Multiply both sides by √22.

√22 sin 45 = <em>CD</em>

√11 = <em>CD</em>

<em />

<em />

cos θ = adj/hyp

cos 45 = <em>CE</em> /√22

Multiply both sides by √22.

√22 cos 45 = <em>CE</em>

√11 = <em>CE</em>

You might be interested in
Describe a real-world situation that can be modeled by the equation y = 1/20x. Be sure to describe what each variable represents
Mars2501 [29]
Ralph's height is y
Ben's height is x

Ben's height is 1/20 of Ralph's height. How tall is Ralph?
6 0
3 years ago
Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?
Anvisha [2.4K]
Angle A measures to 59 degrees.
5 0
3 years ago
the temperature in an experiment is increased at a constant rate over a period of time until the temperature reaches 0 degrees c
dsp73

Answer:

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Step-by-step explanation:

To find the the x value, you remove the y value or replace it with 0.

0 = 5/2x - 70

Next you move the variable.

70 (2/5) = x           (multiply 70 by 2 to get 140 and divide that by 5)

And now you simplify to get:

28

To find the y value, you remove the x value or replace it with 0.

y =  0 - 70

And now you simplify to get:

-70

x = 28

y = -70

7 0
2 years ago
Read 2 more answers
I need help please this is for math
maxonik [38]
5x + 13 Hope this helps you
8 0
3 years ago
Please Round 1.54 thank you
bearhunter [10]

Answer:

okay so it would be 2 or 1.5 i dont know if you want it whole number but i will explain

if the number is 5 or more like 5.1 or even 5 you round up

if the number is under 5 like 4,3,2,1 your round down

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?
    9·2 answers
  • In a cookie mix, we find walnut cookies, no bake cookies,and snickerdoodles cookies in a ratio of 4:4:4. If a bag of the mix con
    7·1 answer
  • In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of
    5·1 answer
  • Suppose that x ∗ is an optimal basic feasible solution, and consider an optimal basis associated with x ∗ . Let B and N be the s
    11·1 answer
  • Complete the pairs of corresponding parts if ABD congruent to EFC.
    7·2 answers
  • The hexagon below has been reduced by a scale factor of One-third.
    13·2 answers
  • Please hurry I need this soon and no links
    8·1 answer
  • Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)​
    7·1 answer
  • SOMEONE HELP ME PLEASE
    10·1 answer
  • Answer to letter B , C, D
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!