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
Nastasia [14]
3 years ago
7

In ΔDEF, the measure of ∠F=90°, FD = 63 feet, and DE = 71 feet. Find the measure of ∠E to the nearest degree.

Mathematics
1 answer:
stepan [7]3 years ago
7 0

Answer:

Step-by-step explanation:

∠F=90°, FD = 63 feet, and DE = 71 feet.

That's a right angle triangle also.

measure of ∠E to the nearest degree

sin∠E = 63/71

sin∠E = 0.8873

∠E= sin^-1 0.8873

∠E= 62.5°

You might be interested in
Solve the system of equations using substitution.
Lynna [10]

Answer:

(6,12)

Step-by-step explanation:

Substitute the value of y into y=2x:

x+6=2x

x=6

Substitute x into the equation of y=2x

y = 2*6 = 12

(6,12)

6 0
2 years ago
ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

{x}^{2}  = 4 + 36

{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

x =  \sqrt{109275}  = 330.6 ft

3 0
3 years ago
What is 4sqrt7^3 in exponential form?
katrin [286]

Answer:

\boxed{7^{\frac{3}{2} } \times 4}

Step-by-step explanation:

4 (\sqrt{7} )^3

Square root can be written as a power.

4(7^{\frac{1}{2} })^3

Multiply the exponents.

4(7^{\frac{3}{2} })

7 0
2 years ago
What is the range of the function?
levacccp [35]

Answer:

e equels MC squared

Step-by-step explanation:

7 0
3 years ago
What is the next term of the geometric sequence?<br> 2,−10,50,...
OleMash [197]

Answer:

-250

Step-by-step explanation:

I don't know for sure but I hope it's correct.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please help me, thanks!!
    11·1 answer
  • ANSWER ASAP !! what is the solution to the system that represents this scenario , 5x+10y=70 &amp; 8x+8y=64
    13·1 answer
  • The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read
    11·2 answers
  • An adult blinks about 450 times in 30 minutes. A 12 year old blinks about 150 times in 15 minutes. How many more times does an a
    14·1 answer
  • Will sum help me with this last one 17
    14·1 answer
  • 36 divided by the quantity 5 plus p​
    12·1 answer
  • what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25
    7·1 answer
  • Mai biked 3 1/2 miles today, and Noah biked 1 1/8 miles. how many times the length of Noah's bike ride was Mia's bike ride
    9·1 answer
  • I need help I will give brainiest​
    9·1 answer
  • Graph the line with the equation y= - 1/4x -7? ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!