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
love history [14]
3 years ago
13

In ΔDEF, the measure of ∠F=90°, FD = 75 feet, and EF = 95 feet. Find the measure of ∠D to the nearest tenth of a degree. (Plz an

swer as soon as possible)
Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

  51.7°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(D) = EF/FD = 95/75

  D = arctan(95/75)

  ∠D ≈ 51.7°

You might be interested in
Why is (-3,6] a better answer than (-3,6)
Pani-rosa [81]

(-3, 6) includes all numbers between -3 and 6 but it does not include -3 and 6.

when you put square parentheses you include the number on the edge

so if an anwser includes all numbers between -3 and 6 and the number 6 it's correct to write (-3,6]

7 0
2 years ago
A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection
svet-max [94.6K]

Answer:

x  =  2  cm

y  = 2  cm

A(max) =  4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45°  =  1  =  x / 4 - y        or     x  =  4  -  y     y  =  4  -  x

A(r)  =  x* y

Area of the rectangle as a function of x

A(x)  =  x  *  (  4  -  x )       A(x)  =  4*x  -  x²

Tacking derivatives on both sides of the equation:

A´(x)  =  4 - 2*x             A´(x)  =  0            4   -  2*x  =  0

2*x  =  4

x  =  2  cm

And  y  =  4  - 2  =  2  cm

The rectangle of maximum area result to be a square of side 2 cm

A(max)  = 2*2  =  4 cm²

To find out if A(x) has a maximum in the point  x  =  2

We get the second derivative

A´´(x)  =  -2           A´´(x)  <  0   then A(x) has a maximum at  x = 2

5 0
2 years ago
Why is - x &lt; 3 equivalent to x &gt; - 3? Provide a convincing argument.
AlexFokin [52]

Answer:

-x<3 is the same as x>-3 because when you divide -x<3 by -1 on both sides it ends up as x>-3. (They're the same thing just one isn't simplified.)

Step-by-step explanation:

8 0
2 years ago
Anyone know the answer to this algebra question?
lana [24]

Answer:

possibly the third maybe

4 0
2 years ago
What is the answer to 3k=−2(7+2k)
laiz [17]
I think k equals negative 2, or -2.<span>
</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Are triangles DEF and LNM similar if LN equals 5 MN equals 3 DE equals 10 and FE equals 6
    9·1 answer
  • Find the measure of z<br><br> A. 108<br> B. 120<br> C. 135<br> D. 144
    14·1 answer
  • Can someone tell me if I did this right? If it's wrong can you tell me how to do it step by step? Thanks
    12·1 answer
  • Find two numbers, if … c Their sum is 3/5 and their difference is 7 1/5
    11·1 answer
  • Graph each point on a coordinate plane. Name the quadrant in which each is located
    15·2 answers
  • What is the value of x?<br> sin 49° = COS X<br> Enter your answer in the box.<br> X =
    6·1 answer
  • 4^3/2-2^3*6+8(-1)^10
    7·1 answer
  • Help please! ill mark brainliest!
    7·2 answers
  • 3 fewer than a number squared and four
    8·2 answers
  • Help me calculate the perimeter of this shape!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!