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
Taya2010 [7]
3 years ago
15

4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

You might be interested in
Fill out First row is standard form <br><br> Second row is Factored Form already done for you.
DerKrebs [107]

Answer:

(x + 6)(x - 2) = x² + 4x - 12

(x + 2)(x - 8) = x² - 6x - 16

(x + 6)(x - 6) = x² - 36

(x - 5)(x - 1) = x² - 6x + 5

(x - 4)(x - 10) = x² - 14x + 40

(x + 2)(x + 5) = x² + 7x + 10

Step-by-step explanation:

Use FOIL.

(x + 6)(x - 2) =

F - first: x × x = x²

O - outer: -2 × x = -2x

I - inner: 6 × x = 6x

L - last: 6 × -2 = -12

(x + 6)(x - 2) = x² - 2x + 6x - 12

Now, combine like terms.

(x + 6)(x - 2) = x² + 4x - 12

(x + 2)(x - 8) = x² - 6x - 16

(x + 6)(x - 6) = x² - 36

(x - 5)(x - 1) = x² - 6x + 5

(x - 4)(x - 10) = x² - 14x + 40

(x + 2)(x + 5) = x² + 7x + 10

5 0
2 years ago
What is the difference between a formal and an informal proof?
Nutka1998 [239]
 <span>informal proofs are usually in paragraph form, while formal proofs are numbered, like this: 
Given: a=b, b=c 
Prove: a=c 
1. a=b, b=c 1. Given 
2. a=c 2. transitive property 
the first line is usually the given, the middle lines are statements which help you get to your proof, and the last line is your proven statement. next to your statements, you have to give reasons why the statement is true, like a=c is proven because of the transitive property</span>
6 0
3 years ago
I NEED HELP! NO LINKS JUST ANSWERS!
Ket [755]

Answer:

7065 cm^3

Step-by-step explanation:

tell me if you got it wrong

6 0
3 years ago
What should be subtracted from -8767 to obtain 7676​
MissTica

Answer:

16443

Step-by-step explanation:

a  = 7676 - b

b = -8767

then:

a = 7676 - (-8767)

a  = 7676 + 8767

a = 16443

Check:

16443 -8767 = 7676

5 0
3 years ago
Can someone plz help thxs ( do not put links and this is NOT a scam)
Naily [24]

Answer:

A and B

Step-by-step explanation:

1 yard= 3 feet

56/12=4.66667

A is 3 feet

and B is 4.666667 feet

4 0
3 years ago
Other questions:
  • Which expression represents the sum of (2x-5y) and (x+y)?
    7·1 answer
  • What is the value of x in the equation (-35)^x =1? Explain.
    7·1 answer
  • 7/8 - 2/5 simplest form
    12·1 answer
  • Which transformation(s) can map ABCD onto AWXY?
    5·1 answer
  • At a family reunion, Lauren met up with 2 of her cousins; Kali and Allison. She realized that there were 3 generations of cousin
    6·1 answer
  • M=-2; passes through (-1,5<br> Write a slope-intercept form
    7·1 answer
  • In an orchard, there are 14 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
    6·1 answer
  • Triangle N L M is reflected over a line to form triangle A B C. Triangle NLM is reflected over the line segment as shown, formin
    10·2 answers
  • Jackie has 54 fewer beads than Sally. If b stands for the number of beads Jackie has, write an
    11·1 answer
  • If takes 3/4 hour to paint 12by 12 room how long does it take to paint 15by 16 room
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!