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
uysha [10]
2 years ago
7

Suppose each edge of the cube shown in the figure is 10 inches long. Find the sine and cosine of the angle formed by diagonals D

E and DG.

Mathematics
1 answer:
tatiyna2 years ago
4 0

Check the picture below.

sin(EDG )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{10\sqrt{3}}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{sin(EDG )=\cfrac{\sqrt{3}}{\sqrt{3^2}}\implies sin(EDG )=\cfrac{\sqrt{3}}{3}} \\\\[-0.35em] ~\dotfill

cos(EDG )=\cfrac{\stackrel{adjacent}{10\sqrt{2}}}{\underset{hypotenuse}{10\sqrt{3}}}\implies cos(EDG )=\cfrac{\sqrt{2}}{\sqrt{3}}\implies cos(EDG )=\cfrac{\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{cos(EDG )=\cfrac{\sqrt{6}}{\sqrt{3^2}}\implies cos(EDG )=\cfrac{\sqrt{6}}{3}}

You might be interested in
McDonald's has about 21000 managers and each year makes on average $39000/year, how much does McDonald's spend on managers each
Katen [24]
819,000,000 each year
8 0
3 years ago
Where does 3.5 belong o the venn diagram
Nadusha1986 [10]

Answer:

I think i would be c or a but im not sure

step-by-step explanation:

4 0
3 years ago
Who can help me with #39 please:))))
ehidna [41]
The answer to the problem is D

35  : 15 is the same as 7 : 3
4 0
3 years ago
Let f(x)=2x squared - 3x+8 what is the value of f(-4)
Illusion [34]

Answer:

f(x) = 52

Step-by-step explanation:

f(x) does the same things as y, so when you get your answer, think of it as the value for y when x = - 4

The second thing you should know is that wherever you see an x on the right, you put in - 4

Let x = - 4

y = 2x^2 - 3x + 8

y = 2(-4)^2 - 3(-4) + 8

y = 2*16 - (-12) + 8

y = 32 + 12 + 8

y = 52

Be careful how you hand - 3x when -4 is put in for x. -3(-4) = 12 not - 12

f(-4) = 52

5 0
3 years ago
Please help ill give whoever answers the best the brainliest answer
GalinKa [24]
The third chart i think
6 0
2 years ago
Other questions:
  • What is the length of leg sof the triangle below?<br> 90°
    13·1 answer
  • Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = Product of the two numbers.
    5·1 answer
  • A rectangular aquarium 3 ft. x 2 ft. 1 ft. is 2/3 full of water. In cubic feet, how much water is in the tank
    13·1 answer
  • Positional number system where the value of a digit is determined by its location
    6·1 answer
  • Please help. I added a picture.
    10·2 answers
  • 4) Find the area. 7 cm 9 cm 12 cm​
    5·2 answers
  • 8x=-11y+24 linear equation in standard form
    11·1 answer
  • In the united states 16 out of every 20 cans are recycled what percent of cans are recycled
    6·2 answers
  • Mrs. Crosby had 350 sheets of paper. She used 8 sheets of paper for a craft. She then gave each student 4 sheets of paper. Which
    6·1 answer
  • Given the function h of x equals negative 2 times the square root of x, which statement is true about h(x)?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!